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Academic literature on the topic 'Collocation method'

Author: Grafiati

Published: 4 June 2021

Last updated: 6 September 2023

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Journal articles on the topic "Collocation method"

1

Obeidat, Adham Mousa, and Tengku Sepora Tengku Mahadi. "COLLOCATION TRANSLATION ERRORS FROM ARABIC INTO ENGLISH: A CASE STUDY OF NAGUIB MAHFOUZ’S NOVEL “AWLAD HARATINA”." International Journal of Humanities, Philosophy and Language 2, no. 7 (September 23, 2019): 129–38. http://dx.doi.org/10.35631/ijhpl.270011.

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The purpose of this analysis is to understand the notion of translation errors while translating collocations from Arabic into English. The translation errors are found in the Arabic novel “Awlad Haratina” which is written by Naguib Mahfouz. The problem of translating collocations and the reasons behind those problems are studied based on Baker’s model of collocational errors which are the engrossing effect of source text (ST) patterning, misinterpreting the meaning of ST collocations, the tension between accuracy and naturalness, cultural-specific collocation and marked collocation in the source text. descriptive qualitative method is used as the method of this study. 71 errors are examined accordingly to find out the reason behind committing translation errors while translating collocation. The study reveals that the tension between accuracy and naturalness, cultural-specific collocation are the main reasons behind committing errors. As a result, the study finds that translators should pay more attention to the notion of collocation before the process of translation.

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Nawir, Muhammad Syahruddin, Nur Aliyah Nur, and Nurul Hidayah. "AN ANALYSIS OF ENGLISH LEXICAL COLLOCATION IN TRANSACTIONAL SPEAKING AMONG STUDENTS OF ENGLISH EDUCATION DEPARTMENT AT ALAUDDIN STATE ISLAMIC UNIVERSITY OF MAKASSAR." English Language Teaching for EFL Learners 4, no. 2 (September 30, 2022): 100–105. http://dx.doi.org/10.24252/elties.v4i2.31126.

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This study focused on the use of lexical collocations in transactional speaking skills of final year students majoring in English. This study aimed to determine the students ability in using lexical collocation and identifiy its type in their transactional speaking. The study conducted in Alauddin State Islamic University of Makassar. The subject of this study were the final year students of English Education Department. These students can be categorized as the intermediate learners of English because they took speaking lectures one to three. It was important for their collocational knowledge to be native-like. This study used a qualitative method. Researcher used interview as the data collection tool. Then, the researcher analysed the transcript of the interview. In analysing, researcher determined the collocation words and the types too, used Oxford online collocation dictionary to check whether the collocation were true or not. The findings showed that the students used English lexical collocations in their transactional speaking. Researcher found 179 English lexical collocations are used by the students. 81 of those collocations are correct. Researcher also found that they used four types from total 6 types (based on Benson&Ilson) of English lexical collocation which they tend to use the type 1 than the other types. The study therefore suggested that the teacher and students should more concerned about the collocational knowledge in this case lexical collocation.

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Veronika, Chyntia. "THE STRUCTURE OF COLLOCATION AND ITS TRANSLATION STRUCTURES IN SUBTITLES OF KURZGESAGT YOUTUBE CHANNEL." KLAUSA (Kajian Linguistik, Pembelajaran Bahasa, dan Sastra) 4, no. 01 (August 28, 2020): 1–10. http://dx.doi.org/10.33479/klausa.v4i01.337.

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This research aims to identify the types of English collocation and to investigate the structure of collocations in the Indonesian translation from English in Kurzgesagt YouTube Channel. This study used a descriptive qualitative method. The research used the theory of English collocation by McCarty and O’Dell (2008) and Indonesian collocation by Imran et al (2009) to identify English collocation types and investigate the structures of collocation in Indonesian. The research found that Adjective + Noun collocation types are mostly used to 133 of 232 and Verb + Noun to 45 or 19.40%. Focusing on structure of collocation translation equivalents in Indonesian, it was also found that Indonesian collocations 157 data or 67.7 % have the same structures and 75 data or 32.3% have different structures. 9 data or 3.9% are in the form of single words, and 1 data or 0.4% has no equivalent. After verification was made, Indonesian collocation equivalent are not always collocations: 90.5% are collocations and 9.5% are non-collocations, including single words. Based on the research finding, learners of English, translators, and future translators have to build awareness of the importance of collocation. The potential difficulties lie in the difference in translation equivalent.

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Sari, Beaty Novita, and Ingatan Gulö. "Observing Grammatical Collocation in Students’ Writings." TEKNOSASTIK 17, no. 2 (October 18, 2019): 25. http://dx.doi.org/10.33365/ts.v17i2.325.

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This research aimed to describe the types of grammatical collocation errors produced by English learners in their writings. The writers used a qualitative method for collecting and analyzing the data. The data were taken from first-year students’ essays. Collocations from fifteen essays were collected and analyzed. As the standard for the collocations being analyzed, The Oxford Collocation Dictionary and The BBI Combinatory Dictionary of English were used by the writers. The results showed that the students made grammatical collocation errors in their writings, with a total of 35 grammatical collocations. It was also found that verb-noun collocation is the most dominant error made, which indicated that the students faced difficulties in using proper verbs in collocations.Keywords: Collocation error, grammatical collocation, students’ writings

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Majeed, Inst Dr Nagham Jaafar. "The Effect of Using Input Enhancement Technique on Collocation ‎Learning of Iraqi EFL Students." ALUSTATH JOURNAL FOR HUMAN AND SOCIAL SCIENCES 61, no. 3 (September 15, 2022): 588–97. http://dx.doi.org/10.36473/ujhss.v61i3.1707.

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Collocation can be defined as two or sometimes more than two words that often go together for example, impose punishment, do homework, and save money. This study is an attempt to explore an effective method to improve collocations presenting in an English as a Foreign Language (EFL) context. Learning collocation is of fundamental importance in both written and spoken English communications. The reason behind selecting collocation is that collocation is a vital constituent of English vocabulary. Two groups were involved in this study. The experimental group that followed the input enhancement technique received short passages whose 40 collocations were printed in boldface type. While the control group received a text with the same list of collocations represented without enhancement. The study adopted a quantitative research method utilizing a non- randomized experimental design, which involves conducting pretest, and posttest with experimental and control groups. The findings of this study showed that the input enhancement technique can assist in teaching collocation.

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Majeed, Inst Dr Nagham Jaafar. "The Effect of Using Input Enhancement Technique on Collocation ‎Learning of Iraqi EFL Students." ALUSTATH JOURNAL FOR HUMAN AND SOCIAL SCIENCES 61, no. 3 (September 15, 2022): 588–97. http://dx.doi.org/10.36473/alustath.v61i3.1707.

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Collocation can be defined as two or sometimes more than two words that often go together for example, impose punishment, do homework, and save money. This study is an attempt to explore an effective method to improve collocations presenting in an English as a Foreign Language (EFL) context. Learning collocation is of fundamental importance in both written and spoken English communications. The reason behind selecting collocation is that collocation is a vital constituent of English vocabulary. Two groups were involved in this study. The experimental group that followed the input enhancement technique received short passages whose 40 collocations were printed in boldface type. While the control group received a text with the same list of collocations represented without enhancement. The study adopted a quantitative research method utilizing a non- randomized experimental design, which involves conducting pretest, and posttest with experimental and control groups. The findings of this study showed that the input enhancement technique can assist in teaching collocation.

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7

Handayani, Magpika, and Yovita Angelina. "Accuracy of Using English Collocation in Writing Descriptive Texts at SMK Cahaya Harapan Students." JETL (Journal of Education, Teaching and Learning) 5, no. 1 (March 31, 2020): 99. http://dx.doi.org/10.26737/jetl.v5i1.1184.

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The<strong> </strong>purpose of this study is to<strong> </strong>know the accuracy of using English collocation in writing descriptive text. The use of collocation in writing is one of the important things in creating a paper. The correct use of collocation is often a problem in writing. Students often do not use accurate collocation due to differences in collocations held in the first language with collocations in English. The ability to write using accurate collocation might have an impact on the comfort of the reader in understanding the meaning of the writing written. The method used in this research is a descriptive method by describing students' collocation accuracy that is gathered from task and students descriptive writing. Students do not know at all about collocation and the collocation used is Indonesian translated. Descriptive writing of SMK Harapan Harapan students specifically the marketing department that uses collocation is still not coherent, not developed and there are still many errors. Based on the results of the research, the writer found that students understand how to write descriptive text, but they do not understand how to express factual description in their writing with collocation accurately because they are not familiar with the collocation that should be used in English as the target language.

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Lei, Lei, and Dilin Liu. "The academic English collocation list." International Journal of Corpus Linguistics 23, no. 2 (October 5, 2018): 216–43. http://dx.doi.org/10.1075/ijcl.16135.lei.

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Abstract The use of collocations plays an important role for the proficiency of ESL/EFL learners. Hence, educators and researchers have long tried to identify collocations typical of either academic or general English and the challenges involved in learning them. This paper proposes a comprehensive and type-balanced academic English collocation list (AECL). AECL is based on a large corpus of academic English and was created to cover the types of collocations that will be most useful to ESL/EFL learners. AECL is the result of an innovative research-based procedure that involves a five-step selection method. A comparison of the collocations on AECL with those found in well-known collocation dictionaries of general English and on three existing academic English collocation lists indicates that AECL indeed contains mainly academic rather than general English collocations. In addition, AECL is more comprehensive with regard to the types of collocations that are relevant to learners.

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Meredith, Alex, Stephen Leroy, Lucy Halperin, and Kerri Cahoy. "Efficient collocation of global navigation satellite system radio occultation soundings with passive nadir microwave soundings." Atmospheric Measurement Techniques 16, no. 13 (July 4, 2023): 3345–61. http://dx.doi.org/10.5194/amt-16-3345-2023.

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Abstract. Radio occultation (RO) using the global navigation satellite system (GNSS) can be used to infer atmospheric profiles of microwave refractivity in the Earth's atmosphere. GNSS RO data are now assimilated into numerical weather prediction models and used for climate monitoring. New remote sensing applications are being considered that fuse GNSS RO soundings and passive nadir-scanned radiance soundings. Collocating RO soundings and nadir-scanned radiance soundings, however, is computationally expensive, especially as new commercial GNSS RO constellations greatly increase the number of global daily RO soundings. This paper develops a new and efficient technique, called the “rotation–collocation method”, for collocating RO and nadir-scanned radiance soundings in which all soundings are rotated into the time-dependent reference frame in which the nadir sounder's scan pattern is stationary. Collocations with RO soundings are then found when the track of an RO sounding crosses the line corresponding to the nadir sounder's scan pattern. When applied to finding collocations between RO soundings from COSMIC-2, Metop-B-GRAS, and Metop-C-GRAS and the passive microwave (MW) soundings of the Advanced Technology Microwave Sounder (ATMS) on NOAA-20 and Suomi-NPP and the Advanced Microwave Sounding Unit (AMSU-A) on Metop-B and Metop-C for the month of January 2021, the rotation–collocation method proves to be 99.0 % accurate and is hundreds to thousands of times faster than traditional approaches to finding collocations.

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Yang, Qingcheng, Emre Biyikli, Pu Zhang, Rong Tian, and Albert C. To. "Atom collocation method." Computer Methods in Applied Mechanics and Engineering 237-240 (September 2012): 67–77. http://dx.doi.org/10.1016/j.cma.2012.05.010.

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Dissertations / Theses on the topic "Collocation method"

1

陳立華 and Lap-wah Samson Chan. "The application of boundary collocation method to fracture problems." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 1994. http://hub.hku.hk/bib/B31211197.

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Kapolka, Tyler J. (Tyler Joseph). "A partial state collocation method for covariance optimal control." Thesis, Massachusetts Institute of Technology, 2018. http://hdl.handle.net/1721.1/119908.

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Thesis: S.M., Massachusetts Institute of Technology, Department of Aeronautics and Astronautics, 2018.
This electronic version was submitted by the student author. The certified thesis is available in the Institute Archives and Special Collections.
Cataloged student-submitted from PDF version of thesis.
Includes bibliographical references (pages 121-123).
An overview is presented for two methods of incorporating the covariance in an optimal control problem. Including the covariance in the optimal control problem can be beneficial in the field of navigation where it is desirable to design trajectories which either minimize navigation error or maximize observability for instrument calibration. The full state collocation method uses Legendre Gauss Radau collocation to discretize the deterministic states and controls as well as the unique elements of the covariance matrix. The problem is then transcribed to a nonlinear progamming problem (NLP) and is solved with an NLP solver. This method, however, results in problems with many constraints and variables, which is computationally expensive. The partial state collocation method, the main focus of this thesis, collocates the deterministic states and controls but uses a shooting method to incorporate the covariance matrix. The problem is then transcribed to a nonlinear programming problem, which has fewer constraints and variables than the full state collocation method. Both of these methods are demonstrated by solving for the trajectory that minimizes the final position uncertainty for a spacecraft reentering Earth's atmosphere. The problem is tested with different sized covariance matrices, which shows how the time it takes to solve the problem increases as the covariance matrix increases in size. The partial state collocation method is generally faster and converges in fewer NLP iterations than the full state collocation method. As the covariance matrix increases in size, the time it takes to solve the problem increases at a smaller rate for the partial state collocation method.
by Tyler J. Kapolka.
S.M.

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3

Kattelans, Thorsten. "The least squares spectral collocation method for incompressible flows." Berlin Köster, 2009. http://d-nb.info/997987812/04.

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Chan, Lap-wah Samson. "The application of boundary collocation method to fracture problems /." [Hong Kong] : University of Hong Kong, 1994. http://sunzi.lib.hku.hk/hkuto/record.jsp?B1379372X.

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5

Tian, Haitao. "Taylor meshless method for thin plates." Thesis, Paris, ENSAM, 2019. http://www.theses.fr/2019ENAM0036.

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Une nouvelle classe de méthodes sans maillage - Taylor Meshless Method (TMM) - a été introduite. Elle repose sur une solution explicite des équations aux dérivées partielles dans le domaine à l’aide des extensions de séries de Taylor. Parce que la PDE est résolue analytiquement dans le domaine, on est réduit à un problème de frontière discret dont la taille est plutôt petite.L’efficacité de TMM a été vérifiée en résolvant certaines équations aux dérivées partielles. Dans les cas étudiés, TMM est robuste et efficace. Pour les problèmes linéaires 2D, un domaine suffit pour résoudre les problèmes de valeurs limites.TMM est utilisé pour résoudre les problèmes de plaques de Kirchhoff. Les techniques de TMM permettent de réduire considérablement le degré de liberté, de manière à augmenter le degré de polynôme à un niveau très élevé. Les plaques sandwich laminées sont étudiées à l'aide de TMM. Différents cas sont considérés pour tester l'efficacité et le rendement de la méthode. L'erreur montre une convergence exponentielle avec l'augmentation du degré de polynômes.TMM est combiné à la méthode asymptotique-numérique (ANM) pour résoudre les problèmes de déviation importante des plaques minces. Les équations non linéaires sont développées sous la forme de séries de puissances, ce qui conduit le problème à une série d'équations linéaires. La longueur de l'étape est déterminée automatiquement par une technique de suivi de chemin fiable. La précision et l'efficacité de ANM-TMM sont vérifiées à l'aide de ces exemples et la méthode peut facilement être étendue à d'autres problèmes non linéaires.Basé sur le travail des problèmes de flexion, le flambement des plaques minces est étudié. Cette approche tire pleinement parti de la technique de suivi de chemin. Ainsi, le processus de flambement peut être illustré de manière beaucoup plus précise que celle d'autres méthodes. La performance de l'approche est examinée par une série de problèmes de flambement de référence.Les problèmes de plissement de la membrane sont étudiés. Différentes tensions et imperfections sont imposées pour tester leur influence sur les motifs de rides finaux. Les résultats montrent que TMM peut réaliser des simulations convergentes avec de très petites imperfections et des charges de tension comparées aux méthodes par éléments finis. L’approche de l’analyse de la membrane ridée par la TMM est bien établie
A new class of meshless method – Taylor Meshless Method (TMM) - has been introduced that relies on an explicit solution of the Partial Differential Equations inside the domain with the help of Taylor series expansions. Because the PDE is solved analytically in the domain, one is reduced to a discrete boundary problem whose size is rather small.The effectiveness and efficiency of TMM have been verified by solving some partial differential equations. In the cases that have been studied, TMM is robust and effective. For 2D linear problems, one domain is sufficient to solve boundary value problems.TMM is used to solve Kirchhoff plate problems. Techniques in TMM help to reduce the degree of freedoms significantly so that one can increase the degree of the polynomials to a very high level. Laminated sandwich plates are studied by using TMM. Different cases are considered to test the effectiveness and efficiency of the method. The error shows exponential convergence with the increase of degree of polynomials.TMM is combined with asymptotic-numerical method (ANM) to solve large deflection problems of thin plates. The nonlinear equations are expanded in the form of power series, which leads the problem to a series of linear equations. The step length is determined automatically by a reliable path following technique. The accuracy and efficiency of ANM-TMM is verified through these examples and the method can be easily extended to other nonlinear problems.Based on the work of bending problems, the buckling of thin plates are studied. This approach fully takes the advantage of the path following technique. Thus the buckling process can be illustrated much more accurate than that by other methods. The performance of the approach is investigated by a series of benchmark buckling problems.The membrane wrinkling problems are studied. Different tension loads and imperfections are imposed to test their influence on final wrinkle patterns. The results show that TMM can accomplish convergent simulations with very small imperfections and tension loads in comparison with finite element methods. The approach of wrinkled membrane analysis by TMM has been well established

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6

Tarang, Mare. "Stability of the spline collocation method for Volterra integro-differential equations." Online version, 2004. http://dspace.utlib.ee/dspace/bitstream/10062/793/5/Tarang.pdf.

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7

Green, Jennifer Neal. "Modeling spider webs as multilinked structures using a Chebyshev pseudospectral collocation method." Thesis, Virginia Tech, 2018. http://hdl.handle.net/10919/83564.

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Spiders weave intricate webs for catching prey, providing shelter and setting mating rituals; arguably the most notable of these creations is the orb web. In this thesis we model the essential vibrations of orb webs by first considering a spider web as a multilinked structure of elastic strings. We then solve the associated eigenvalue problem using a Chebyshev pseudospectral collocation method to discretize the system. This thesis first examines the vibrations of webs with uniform material properties throughout, then investigates the effects of using biologically realistic material parameters for silks within a single web. Understanding how spiders detect and react to the vibrations produced by their webs is of interest for both biological and engineering applications.
Master of Science

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8

Hernando, Quintanilla Francisco. "Pseudospectral collocation method for viscoelastic guided wave problems in generally anisotropic media." Thesis, Imperial College London, 2016. http://hdl.handle.net/10044/1/34915.

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In Non-Destructive Evaluation (NDE) applications guided waves are attractive to perform rapid inspections of long lengths and large areas. However, they are complicated, therefore it is important to have as much information and understanding about their physical properties as possible in order to design the most efficient and robust inspection process as well as to draw the correct conclusions from the measurement results. The main piece of information to gain insight into the guided wave's properties is dispersion curves which, for isotropic structures such as plates and cylinders, have been available for many years. There are many robust algorithms which are currently used to compute them: finite element simulations, partial wave based root finding routines (PWRF) and semi-analytical finite element simulations (SAFE). These methodologies have been generalized and also used to study and compute dispersion curves of more complicated anisotropic materials though the range of tractable cases was limited. Although robust, all these approaches present several challenges, mostly computational, such as missing modes (PWRF), the so called "large-fd" problem (PWRF), artificially increased stiffness (FE, SAFE) or improvement of dispersion curve tracing routines (FE, PWRF, SAFE). In addition, when studying complicated anisotropic materials with a low degree of symmetry or unusual axes configurations where propagation does not take place along any of the principal axes, PWRF routines are frequently unreliable and one must resort to specific SAFE simulations which also present their own challenges and, depending on the SAFE scheme used, can yield spurious modes which need to be carefully filtered. Recently, Pseudospectral Methods (Galerkin and Collocation schemes), were introduced in the field of elastic guided waves, providing a powerful, yet strikingly and conceptually simple alternative to the above algorithms by successfully finding the dispersion curves in isotropic structures and in some simple anisotropic problems. However, a systematic and general approach for accurately and robustly computing dispersion curves of guided waves in anisotropic media, up to the most general case of triclinic symmetry, has not yet been developed. The goal of the work presented in this thesis is to develop such a tool by means of the Pseudospectral Collocation Method (SCM) and to take advantage of its particular features to make it as robust as possible. Firstly, a PSCM scheme is developed for computing dispersion curves of guided waves in anisotropic elastic media by finding all the frequencies for a given value of the real wavenumber. The results are validated with the existing literature as well as with the results provided by the software DISPERSE developed in the NDT group at Imperial College London. Many of the most remarkable features of the PSCM (spectral accuracy, speed, and its failure to miss modes for instance) are already observed in this simple, yet important, class of problems in elastic media. Secondly, guided waves in viscoelastic anisotropic media are studied. In this case, modes present attenuation due to material damping which is reflected in the wavenumber being complex. In order to handle complex wavenumbers the PSCM schemes developed for elastic materials are appropriately extended by means of the Companion Matrix Method. It will be seen that, apart from lowly attenuated propagating modes, all the other highly attenuated modes are found, yielding the full three-dimensional spectrum of the problem under consideration. Moreover, when the PSCM schemes for viscoelastic media are used to compute the dispersion curves of guided waves in an elastic medium, all the remaining, imaginary as well as complex, roots of the elastic problem which were not computed by the simpler PSCM elastic schemes are found, providing the full three-dimensional picture of the dispersion curves. These PSCM schemes, as any other of the aforementioned approaches, only find pairs (\omega,k). If dispersion curves are to be plotted, those pairs must be linked correctly in order to plot the desired dispersion curves, which is non-trivial when crossings amongst modes occur. Motivated by this, an investigation of the parity and coupling properties of guided wave solutions is carried out in detail for all crystal classes. This investigation provides a robust alternative to conventional tracing routines and avoids the problem of mode crossings by exploiting the parity and coupling properties of the solutions. Finally, the most complicated problems involving embedded structures are investigated by including a Perfectly Matched Layer (PML) in the previously developed PSCM schemes for viscoelastic media. The dispersion curves for leaky and trapped modes in an isotropic elastic plate and in a similar cylinder immersed in an infinite ideal fluid are found, showing very good agreement with the results given by PWRF routines in a large range of frequencies. Last, but not least, an illustration of a two-dimensional PSCM scheme is presented to study a vibrating membrane. The results are compared with the available analytical solution showing again excellent agreement.

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Chandra, Sekhar D. "Stochastic engineering simulations using sparse grid collocation method and Kriging based approaches." Thesis, University of Southampton, 2017. https://eprints.soton.ac.uk/418266/.

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The estimation of probabilistic moments is central to robust design process. Typically one would like to estimate the mean and variance of some performance critical metric such as stress, life, etc., of a component in any engineering system, aiming a robustly optimized design that is less sensitive to the input variations/uncertainties. For complex aerospace engineering systems such as aero-engine, a single numerical simulation of any component can often take a substantial amount of time and few samples can be aﬀorded at which the deterministic simulations can be carried out. Considering the variations in the parameters and performing a large number of simulations on such problems is unrealistic and necessitate the improvement of existing UQ approaches. In this study, we present the signiﬁcance of probabilistic moment estimation approaches for uncertainty quantiﬁcation and its importance in robust design optimization studies. The background for few popular approaches is provided, where emphasis is put on sparse grid collocation method, adaptive sparse grid collocation approach and Kriging based Bayesian approaches. A non-intrusive multi-point adaptive strategy using sparse grid based collocation design and Kriging based approaches is proposed to reduce the problems arising in high dimensional probabilistic moment estimation studies. The comparison of multi-point adaptive approach with other existing approaches for probabilistic moment estimation in terms of eﬃciency and accuracy is provided. Further on, the eﬀectiveness of the proposed approach is demonstrated for few mathematical test functions and stochastic structural problems with varying dimensionality and strong interaction among the random variables.

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10

Posireddy, Sudhir Reddy. "Optimization of Meshfree Method with Distance Fields using Localized Solution Structure and Radial Basis Function Collocation Method." FIU Digital Commons, 2009. http://digitalcommons.fiu.edu/etd/279.

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To avoid the meshing problems with traditional engineering analysis methods many meshfree methods have been developed, and one of the most powerful methods proposed is meshfree method with distance fields. This research work aims at reducing the computational cost of meshfree method with distance fields. The main idea of the proposed approach is to apply a solution structure operator only to those basis functions whose supports are in the vicinity of the boundary and leave other basis functions unaffected. Unfortunately, straightforward implementation of this approach leads to elevated errors in partial derivatives of the solution. To overcome this drawback I propose to modify distance fields in such a way that they behave as a Euclidean distance in the region near the boundary and have smooth transition to a constant value within some distance away from the boundary. The uniqueness of the proposed method over other approaches is its adaptability to all kinds of boundary conditions. This narrow band technique improves the computational cost of meshfree method with distance fields with reasonable impact on accuracy. Another technique proposed in this work is to glue the global solution structures of meshfree method with distance fields with radial basis functions (RBF) and collocation technique. RBF with collocation method itself is proved to give good accurate results with less computational cost [12]. So using RBF-collocation technique with meshfree method with distance fields demands for more accuracy even with less computational cost. Later, these techniques are applied to solve heat transfer problems and the results are compared with global solution techniques to show that the proposed methods are close to global approach and computationally very effective.

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Books on the topic "Collocation method"

1

Deville, Michel O. Fourier analysis of finite element preconditioned collocation schemes. Hampton, Va: Institute for Computer Applications in Science and Engineering, 1990.

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2

Bernardi, Christine. Single-grid spectral collocation for the Navier-Stokes equations. Hampton, Va: ICASE, 1988.

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3

Quarteroni, Alfio. Domain decomposition preconditioners for the spectral collocation method. Hampton, Va: National Aeronautics and Space Administration, Langley Research Center, Institute for Computer Applications in Science and Engineering, 1988.

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Quarteroni, Alfio. Domain decomposition preconditioners for the spectral collection method. Hampton, Va: ICASE, 1988.

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5

Landriani, G. Sacchi. A multidomain spectral collocation method for the Stokes problem. Hampton, Va: National Aeronautics and Space Administration, Langley Research Center, 1989.

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Landriani, G. Sacchi. A multidomain spectral collocation method for the Stokes problem. Hampton, Va: Institute for Computer Applications in Science and Engineering, 1989.

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Landriani, G. Sacchi. A multidomain spectral collocation method for the Stokes problem. Hampton, Va: National Aeronautics and Space Administration, Langley Research Center, 1989.

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Deville, M. O. Fourier analysis of finite element preconditioned collocation schemes. Hampton, Va: National Aeronautics and Space Administration, Langley Research Center, 1990.

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Deville, M. O. Fourier analysis of finite element preconditioned collocation schemes. Hampton, Va: National Aeronautics and Space Administration, Langley Research Center, 1990.

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M, Jameson Leland, and Langley Research Center, eds. A waverlet optimized adaptive multi-domain method. Hampton, Va: National Aeronautics and Space Administration, Langley Research Center, 1997.

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Book chapters on the topic "Collocation method"

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Paulen, Radoslav. "Orthogonal Collocation Method." In Encyclopedia of Membranes, 1436–37. Berlin, Heidelberg: Springer Berlin Heidelberg, 2016. http://dx.doi.org/10.1007/978-3-662-44324-8_428.

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Paulen, Radoslav. "Orthogonal Collocation Method." In Encyclopedia of Membranes, 1–2. Berlin, Heidelberg: Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-40872-4_428-2.

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Gheorghiu, Călin-Ioan. "The Chebyshev Collocation Method." In SpringerBriefs in Mathematics, 41–84. Cham: Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-06230-3_3.

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Gheorghiu, Călin-Ioan. "The Laguerre Collocation Method." In SpringerBriefs in Mathematics, 85–110. Cham: Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-06230-3_4.

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Cheng, Alexander H. D. "Radial Basis Function Collocation Method." In Computational Mechanics, 219. Berlin, Heidelberg: Springer Berlin Heidelberg, 2007. http://dx.doi.org/10.1007/978-3-540-75999-7_20.

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Herrera, I., J. Guarnaccia, and G. F. Pinder. "Domain Decomposition Method for Collocation Procedures." In Computational Methods in Water Resources X, 273–80. Dordrecht: Springer Netherlands, 1994. http://dx.doi.org/10.1007/978-94-010-9204-3_34.

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Clarich, Alberto, and Rosario Russo. "Screening Analysis and Adaptive Sparse Collocation Method." In Uncertainty Management for Robust Industrial Design in Aeronautics, 185–201. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-77767-2_11.

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Clarke, Barry R. "The New Method of Rare Collocation Profiling." In Francis Bacon’s Contribution to Shakespeare, 227–38. New York, NY: Routledge, 2019. | Series: Routledge studies in Shakespeare; 35: Routledge, 2019. http://dx.doi.org/10.4324/9780429028540-14.

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Preece, Robin. "Modal Estimation Using the Probabilistic Collocation Method." In Improving the Stability of Meshed Power Networks, 117–40. Cham: Springer International Publishing, 2013. http://dx.doi.org/10.1007/978-3-319-02393-9_5.

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Ng, Roger, and Glory T. y. Pong. "Measuring Geodesic Body Measurements with Distributed Collocation Method." In Computational Textile, 113–28. Berlin, Heidelberg: Springer Berlin Heidelberg, 2007. http://dx.doi.org/10.1007/978-3-540-70658-8_7.

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Conference papers on the topic "Collocation method"

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Isshiki, Hiroshi. "Random Collocation Method (RCM)." In ASME 2010 International Mechanical Engineering Congress and Exposition. ASMEDC, 2010. http://dx.doi.org/10.1115/imece2010-39054.

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Recently, young people’s concern on theory is becoming very poor. If there is a numerical procedure that is friendlier with theory, the distance between theory and calculation would be decreased much, and the interaction between them would become more active. When the geometry of the domain is simple, the traditional analytical method using function expansion is very convenient in many numerical problems. In many problems, it has given very useful solutions for various problems. However, its effectiveness is usually limited to simple geometries of the domain. In the past, a fusion of the analytical approach and computational one has not been pursued sufficiently. If it becomes possible, it may give a different paradigm for obtaining the numerical solution. In the present paper, an innovative idea named Random Collocation Method (RCM) is discussed on how to overcome the weak point of the traditional method by combining it with computational method. It is the purpose of the present paper to develop the simplest numerical method and to make the distance between the theory and numerical method as small as possible.

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Isshiki, Hiroshi. "Random Collocation Method (RCM)." In ASME 2011 30th International Conference on Ocean, Offshore and Arctic Engineering. ASMEDC, 2011. http://dx.doi.org/10.1115/omae2011-50078.

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Recently, young people do not show much interest on theory, and a lack of communication is occurring between the older and younger generations. This tells us that a much simpler numerical procedure directly related to the governing equations is strongly required and the effort answering the requirement should be continued. If there is a numerical procedure that is friendlier with theory, the distance between theory and calculation would be decreased much, and the interaction among people in both fields would become more active. When the geometry of the domain is simple, the traditional analytical method using function expansion is very convenient in many numerical problems. In many problems, it has given very useful solutions for various problems. However, its effectiveness is usually limited to simple geometries of the domain. In the past, a fusion of the analytical approach and computational one has not been pursued sufficiently. If it becomes possible, it may give a different paradigm for obtaining the numerical solution. In the present paper, a very simple and innovative idea named Random Collocation Method (RCM) is discussed on how to overcome the weak point of the traditional method by combining it with computational method. It is the purpose of the present paper to develop the simplest numerical method and to make the distance between the theory and numerical method as small as possible.

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Diouf, Fatou, and Flavio Canavero. "Crosstalk statistics via collocation method." In 2009 IEEE International Symposium on Electromagnetic Compatibility - EMC 2009. IEEE, 2009. http://dx.doi.org/10.1109/isemc.2009.5284686.

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Umar, A. S., J. C. Wells, and M. R. Strayer. "The basis-spline collocation method." In Atomic collisions: A symposium in honor of Christopher Bottcher (1945−1993). AIP, 1995. http://dx.doi.org/10.1063/1.49198.

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Fang, Baoyan, Shuangliang Tian, and Zhigang Wang. "Domain decomposition method with wavelet collocation." In 3rd International Congress on Image and Signal Processing (CISP 2010). IEEE, 2010. http://dx.doi.org/10.1109/cisp.2010.5647545.

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Jia, Bin, Sheng Cai, Yang Cheng, and Ming Xin. "Stochastic Collocation Method for Uncertainty Propagation." In AIAA Guidance, Navigation, and Control Conference. Reston, Virigina: American Institute of Aeronautics and Astronautics, 2012. http://dx.doi.org/10.2514/6.2012-4935.

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Holden, Michael, and Ilan Kroo. "A collocation method for aeroelastic optimization." In 6th Symposium on Multidisciplinary Analysis and Optimization. Reston, Virigina: American Institute of Aeronautics and Astronautics, 1996. http://dx.doi.org/10.2514/6.1996-3980.

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Cheng, Haiyan, and Adrian Sandu. "Collocation least-squares polynomial chaos method." In the 2010 Spring Simulation Multiconference. New York, New York, USA: ACM Press, 2010. http://dx.doi.org/10.1145/1878537.1878621.

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Sharma, Anurag, and Anju Taneja. "Unconditionally stable formulation of the collocation method." In Integrated Photonics Research. Washington, D.C.: Optica Publishing Group, 1991. http://dx.doi.org/10.1364/ipr.1991.tub4.

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We have earlier developed a method-the Collocation method for propagating beams or total fields through optical waveguiding structures1,2 which is numerically more efficient and capable of giving better accuracy in comparison to commonly used propagating beam method (PBM). The collocation method, which converts the Helmholtz equation into a matrix total differential equation to facilitate direct numerical solution, suffers, however, from one drawback. For moderately large extrapolation intervals (typically 10 μm) the method becomes unstable and error increases exponentially. This kind of behavior is typical of simultaneous equations. Special methods have to be used to circumvent this problem which may not be very convenient and the advantage of computational efficiency may be lost. We have, therefore, developed an alternative method to solve the matrix differential equation. The new formulation involves only unitary operators, like in PBM, and is unconditionally stable with respect to the values of the extrapolation intervals. The method still has its computational advantage over PBM.

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Yuan, Xue-shuai, Fu-jun Chen, and Lin-quan Yao. "Subdomain collocation method for multilayered piezoelectric material." In 2010 Symposium on Piezoelectricity, Acoustic Waves, and Device Applications (SPAWDA 2010). IEEE, 2010. http://dx.doi.org/10.1109/spawda.2010.5744352.

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Reports on the topic "Collocation method"

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Castillo, Victor Manuel. Cubic Spline Collocation Method for the Simulation of Turbulent Thermal Convection in Compressible Fluids. Office of Scientific and Technical Information (OSTI), January 1999. http://dx.doi.org/10.2172/15014452.

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Webster, Clayton G., Guannan Zhang, and Max D. Gunzburger. An adaptive wavelet stochastic collocation method for irregular solutions of stochastic partial differential equations. Office of Scientific and Technical Information (OSTI), October 2012. http://dx.doi.org/10.2172/1081925.

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Tran, Hoang, Catalin Trenchea, and Clayton Webster. A convergence analysis of stochastic collocation method for Navier-Stokes equations with random input data. Office of Scientific and Technical Information (OSTI), January 2014. http://dx.doi.org/10.2172/1649669.

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Zhang, Guannan, Clayton G. Webster, and Max D. Gunzburger. An adaptive sparse-grid high-order stochastic collocation method for Bayesian inference in groundwater reactive transport modeling. Office of Scientific and Technical Information (OSTI), September 2012. http://dx.doi.org/10.2172/1055118.

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Webster, Clayton, Raul Tempone, and Fabio Nobile. The analysis of a sparse grid stochastic collocation method for partial differential equations with high-dimensional random input data. Office of Scientific and Technical Information (OSTI), December 2007. http://dx.doi.org/10.2172/934852.

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Malin, Benjamin, Dirk Krueger, and Felix Kubler. Computing Stochastic Dynamic Economic Models with a Large Number of State Variables: A Description and Application of a Smolyak-Collocation Method. Cambridge, MA: National Bureau of Economic Research, October 2007. http://dx.doi.org/10.3386/t0345.

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Malin, Benjamin, Dirk Krueger, and Felix Kubler. Computing Stochastic Dynamic Economic Models with a Large Number of State Variables: A Description and Application of a Smolyak-Collocation Method. Cambridge, MA: National Bureau of Economic Research, October 2007. http://dx.doi.org/10.3386/w13517.

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Makroglou, A., and E. J. Kansa. Multiquadric collocation methods in the numerical solution of Volterra integral equations with weakly singular kernels. Office of Scientific and Technical Information (OSTI), December 1993. http://dx.doi.org/10.2172/10156921.

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