Relevant bibliographies by topics / 1-Laplace

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers

Academic literature on the topic '1-Laplace'

Author: Grafiati
Published: 4 June 2021
Last updated: 14 February 2022

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Journal articles on the topic "1-Laplace"

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Xuan, Haiyan, Lixin Song, Muhammad Amin, and Yongxia Shi. "Quasi-maximum likelihood estimator of Laplace (1, 1) for GARCH models." Open Mathematics 15, no. 1 (December 29, 2017): 1539–48. http://dx.doi.org/10.1515/math-2017-0131.

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Abstract This paper studies the quasi-maximum likelihood estimator (QMLE) for the generalized autoregressive conditional heteroscedastic (GARCH) model based on the Laplace (1,1) residuals. The QMLE is proposed to the parameter vector of the GARCH model with the Laplace (1,1) firstly. Under some certain conditions, the strong consistency and asymptotic normality of QMLE are then established. In what follows, a real example with Laplace and normal distribution is analyzed to evaluate the performance of the QMLE and some comparison results on the performance are given. In the end the proofs of some theorem are presented.
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CHANG, KUNG CHING. "THE SPECTRUM OF THE 1-LAPLACE OPERATOR." Communications in Contemporary Mathematics 11, no. 05 (October 2009): 865–94. http://dx.doi.org/10.1142/s0219199709003570.

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The eigenfunction of the 1-Laplace operator is defined to be a critical point in the sense of the strong slope for a nonsmooth constraint variational problem. We completely write down all these eigenfunctions for the 1-Laplace operator on intervals.
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Littig, Samuel, and Friedemann Schuricht. "Perturbation results involving the 1-Laplace operator." Advances in Calculus of Variations 12, no. 3 (July 1, 2019): 277–302. http://dx.doi.org/10.1515/acv-2017-0006.

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AbstractWe consider perturbed eigenvalue problems of the 1-Laplace operator and verify the existence of a sequence of solutions. It is shown that the eigenvalues of the perturbed problem converge to the corresponding eigenvalue of the unperturbed problem as the perturbation becomes small. The results rely on nonsmooth critical point theory based on the weak slope.
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Aravkin, Aleksandr Y., Bradley M. Bell, James V. Burke, and Gianluigi Pillonetto. "An $\ell _{1}$-Laplace Robust Kalman Smoother." IEEE Transactions on Automatic Control 56, no. 12 (December 2011): 2898–911. http://dx.doi.org/10.1109/tac.2011.2141430.

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Dyer. "Inverse laplace transformation of rational functions. 1." IEEE Instrumentation and Measurement Magazine 9, no. 6 (October 2006): 13–15. http://dx.doi.org/10.1109/mim.2006.1708344.

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Yavuz, Mehmet, and Necati Ozdemir. "Numerical inverse Laplace homotopy technique for fractional heat equations." Thermal Science 22, Suppl. 1 (2018): 185–94. http://dx.doi.org/10.2298/tsci170804285y.

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In this paper, we have aimed the numerical inverse Laplace homotopy technique for solving some interesting 1-D time-fractional heat equations. This method is based on the Laplace homotopy perturbation method, which is combined form of the Laplace transform and the homotopy perturbation method. Firstly, we have applied to the fractional 1-D PDE by using He?s polynomials. Then we have used Laplace transform method and discussed how to solve these PDE by using Laplace homotopy perturbation method. We have declared that the proposed model is very efficient and powerful technique in finding approximate solutions to the fractional PDE.
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Kahsay, Hafte Amsalu, Adnan Khan, Sajjad Khan, and Kahsay Godifey Wubneh. "Fractional Operators Associated with the ք -Extended Mathieu Series by Using Laplace Transform." Advances in Mathematical Physics 2021 (June 8, 2021): 1–7. http://dx.doi.org/10.1155/2021/5523509.

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In this paper, our leading objective is to relate the fractional integral operator known as P δ -transform with the ք -extended Mathieu series. We show that the P δ -transform turns to the classical Laplace transform; then, we get the integral relating the Laplace transform stated in corollaries. As corollaries and consequences, many interesting outcomes are exposed to follow from our main results. Also, in this paper, we have converted the P δ -transform into a classical Laplace transform by changing the variable ln δ − 1 s + 1 / δ − 1 ⟶ s ; then, we get the integral involving the Laplace transform.
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Ovchintsev, M. P., and E. G. Sitnikova. "Eigenfunction of the Laplace operator in +1-dimentional simplex." Vestnik MGSU, no. 11 (November 2014): 68–73. http://dx.doi.org/10.22227/1997-0935.2014.11.68-73.

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KRUGLIKOV, BORIS. "LAPLACE TRANSFORMATION OF LIE CLASS ω = 1 OVERDETERMINED SYSTEMS." Journal of Nonlinear Mathematical Physics 18, no. 4 (January 2011): 583–611. http://dx.doi.org/10.1142/s1402925111001805.

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Pashaei, Ronak, Mohammad Sadegh Asgari, and Amir Pishkoo. "Conformable Derivatives in Laplace Equation and Fractional Fourier Series Solution." International Annals of Science 9, no. 1 (November 7, 2019): 1–7. http://dx.doi.org/10.21467/ias.9.1.1-7.

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In this paper the solution of conformable Laplace equation, \frac{\partial^{\alpha}u(x,y)}{\partial x^{\alpha}}+ \frac{\partial^{\alpha}u(x,y)}{\partial y^{\alpha}}=0, where 1 < α ≤ 2 has been deduced by using fractional fourier series and separation of variables method. For special cases α =2 (Laplace's equation), α=1.9, and α=1.8 conformable fractional fourier coefficients have been calculated. To calculate coefficients, integrals are of type "conformable fractional integral".
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Dissertations / Theses on the topic "1-Laplace"

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Milbers, Zoja. "Eigenvalue Problem for the 1-Laplace Operator." Doctoral thesis, Saechsische Landesbibliothek- Staats- und Universitaetsbibliothek Dresden, 2009. http://nbn-resolving.de/urn:nbn:de:bsz:14-ds-1238150433158-43544.

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We consider the eigenvalue problem associated to the 1-Laplace operator. We define higher eigensolutions by means of weak slope and establish existence of a sequence of eigensolutions by using nonsmooth critical point theory. In addition, we deduce a new necessary condition for the first eigenvalue of the 1-Laplace operator by means of inner variations
Wir betrachten das zum 1-Laplace-Operator gehörige Eigenwertproblem. Wir definieren höhere Eigenlösungen mittels weak slope und weisen die Existenz einer Folge von Eigenlösungen nach, indem wir die nichtglatte Theorie kritischer Punkte anwenden. Zusätzlich leiten wir eine neue notwendige Bedingung für den ersten Eigenwert des 1-Laplace-Operators mittels innerer Variationen her
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Littig, Samuel. "The Eigenvalue Problem of the 1-Laplace Operator." Doctoral thesis, Saechsische Landesbibliothek- Staats- und Universitaetsbibliothek Dresden, 2015. http://nbn-resolving.de/urn:nbn:de:bsz:14-qucosa-161044.

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As a first aspect the thesis treats existence results of the perturbed eigenvalue problem of the 1-Laplace operator. This is done with the aid of a quite general critical point theory results with the genus as topological index. Moreover we show that the eigenvalues of the perturbed 1-Laplace operator converge to the eigenvalues of the unperturebed 1-Laplace operator when the perturbation goes to zero. As a second aspect we treat the eigenvalue problems of the vectorial 1-Laplace operator and the symmetrized 1-Laplace operator. And as a third aspect certain related parabolic problems are considered.
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Fridman, Vladislav. "Das Eigenwertproblem zum p-Laplace Operator für p gegen 1." [S.l. : s.n.], 2003. http://deposit.ddb.de/cgi-bin/dokserv?idn=970141092.

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Dundar, Serdar. "Solution Of One-dimensional Transient Flow In Fractured Aquifers By Numerical Laplace Transform Inversion." Master's thesis, METU, 2005. http://etd.lib.metu.edu.tr/upload/12606771/index.pdf.

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Laplace transform step-response functions are presented for one dimensional transient flow in fractured semi-infinite &
finite aquifers. Unsteady flow in the aquifer resulting from a constant discharge pumped from the stream is considered. Flow is one-dimensional, perpendicular to the stream in the confined aquifers. The stream is assumed to penetrate the full thickness of the aquifer. The aquifers may be semi-infinite or finite in width. The Laplace domain solutions are numerically inverted to the real-time domain with the Stehfest (1970) algorithm. During the course of the thesis a simple computer code is written to handle the algorithm and the code is verified by applying it to the one-dimensional transient flow in a semi-infinite homogeneous aquifer problem which can be solved analytically to crosscheck with the numerical results.
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Littig, Samuel [Verfasser], Friedemann [Akademischer Betreuer] Schuricht, and Jan [Akademischer Betreuer] Kristensen. "The Eigenvalue Problem of the 1-Laplace Operator : Local Perturbation Results and Investigation of Related Vectorial Questions / Samuel Littig. Gutachter: Friedemann Schuricht ; Jan Kristensen." Dresden : Saechsische Landesbibliothek- Staats- und Universitaetsbibliothek Dresden, 2015. http://d-nb.info/1069096415/34.

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Bakar, Urun. "Solution Of One Dimensional Transient Flow In Composite Aquifers Using Stehfest Algorithm." Master's thesis, METU, 2010. http://etd.lib.metu.edu.tr/upload/12612429/index.pdf.

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In this study, piezometric heads in a composite aquifer composed of an alluvial deposit having a width adjacent to a semi-infinite fractured rock are determined. One dimensional transient flow induced by a constant discharge pumping rate from a stream intersecting alluvial part of the aquifer is considered. Parts of the aquifer are homogeneous andisotropic. Equations of flow, initial and boundary conditions are converted to dimensionless forms for graphical presentation and the interpretation of results independent of discharge and head inputs specific to the problem. Equations are solved first in Laplace domain and Laplace domain solutions are inverted numerically to real time domain by utilizing Stehfest algorithm.For this purpose, a set of subroutines in VBA Excel are developed. This procedure is verified by application of code to flow in semi-infinite homogeneous aquifer under constant discharge for which analytical solution is available in literature. VBA codes are also developed for two special cases of finite aquifer with impervious and with recharge boundary on the right hand side. Results of composite aquifer solutions with extreme tranmissivity values are compared with these two cases for verification of methodology and sensivity of results.
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TOCQUET, ANNE-SOPHIE. "Construction et etude de tests en regression : 1. correction du rapport de vraisemblance par approximation de laplace en regression non-lineaire, 2. test d'adequation en regression isotonique a partir d'une asymptotique des fluctuations de la distance l#1." Paris 11, 1998. http://www.theses.fr/1998PA112016.

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Soit un modele de regression ou les variables explicatives sont deterministes et les erreurs sont des variables aleatoires independantes gaussiennes centrees. Nous envisageons deux cadres : la regression parametrique non-lineaire et la regression non parametrique monotone. En regression parametrique non-lineaire, nous developpons des resultats asymptotiques au second ordre, l'approche adoptee etant conditionnelle a une statistique ancillaire. Nous etablissons une approximation de type laplace de la densite conditionnelle de l'estimateur du maximum de vraisemblance du parametre de regression. Nous deduisons de cette approximation, une correction de la racine signee du log du rapport de vraisemblance pour un test sur l'une des composantes de ce parametre. La statistique de test ainsi construite est asymptotiquement distribuee suivant la loi normale centree reduite. Les erreurs d'approximation pour la densite conditionnelle de l'estimateur du maximum de vraisemblance et pour la loi de la statistique de test sont du second ordre dans une region de grande deviation. En regression non parametrique monotone, nous proposons un test de l'hypothese simple f = f#0 ou f est la vraie fonction de regression et f#0 est une fonction monotone, disons decroissante, contre l'alternative f est differente de f#0 et decroissante. La statistique de test est basee sur la distance l#1 entre l'estimateur isotonique de f et la fonction f#0. Elle est, sous l'hypothese nulle, asymptotiquement distribuee suivant la loi normale centree reduite. La puissance asymptotique du test est etudiee sous des alternatives voisines de l'hypothese nulle. Nous considerons soit une deformation reguliere de la fonction de regression, soit une deformation locale. La distance choisie pour mesurer l'ecart entre l'hypothese nulle et l'alternative est la distance l#2. Le test detecte des alternatives qui convergent vers l'hypothese nulle a la vitesse n##5#/#1#2 si la deformation est reguliere et n##3#/#8 si la deformation est locale.
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Bunduc, Lidia. "Calcul des forces aérodynamiques dans le domaine de Laplace pour l'avion F/A-18." Mémoire, École de technologie supérieure, 2005. http://espace.etsmtl.ca/349/1/BUNDUC_Lidia.pdf.

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Dans ce mémoire, on étudie un des aspects du domaine multidisciplinaire des interactions aéroservoélastiques sur un avion à commande électrique F/A-18 SRA (System Research Aircraft). Cet aspect est lié surtout à l'aérodynamique non - stationnaire de l'avion, plus précisément aux méthodes de conversion des forces aérodynamiques du domaine de fréquence au domaine de Laplace. Les forces aérodynamiques sont calculées en aéroélasticité par les méthodes de doublets (DLM) en régime subsonique ou par les méthodes des pressions constantes (CPM) en régime supersonique en fonction des fréquences réduites et des nombres de Mach sur un avion à commande électrique F/A-18 SRA à l'aide du logiciel STARS (STructural Analysis Routines). Une méthode souvent utilisée pour la conversion des forces aérodynamiques du domaine de fréquence dans le domaine de Laplace est la méthode d'état minimal (Minimum State - MS). Dans cette thèse, on a développé une nouvelle méthode à partir de la méthode MS. Dans cette nouvelle méthode, on applique une nouvelle correction de l'erreur entre les résultats obtenus par la méthode MS et les données calculées en STARS. La nouvelle erreur est écrite sous une forme analytique similaire à la forme analytique des forces aérodynamiques calculées par la méthode MS. Une comparaison entre les forces aérodynamiques dans le domaine de fréquence, calculées par DLM ou CPM, les forces aérodynamiques calculées par la méthode MS et les forces aérodynamiques calculées par la nouvelle méthode est présentée dans cette thèse pour l'avion F/A-18 SRA et pour plusieurs conditions de vol. Nous avons trouvé que cette nouvelle méthode d'approximation est beaucoup plus rapide et donne des meilleurs résultats que la méthode MS. Ce projet a été réalisé en collaboration avec les laboratoires de la NASA DFRC (Dryden Flight Research Center).3
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Dumas, Thomas. "Existence de solutions pour des équations apparentées au 1 Laplacien anisotrope." Thesis, Cergy-Pontoise, 2018. http://www.theses.fr/2018CERG0963/document.

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Nous étudions des équations relatives au p-Laplacien anisotrope lorsque certaines composantes du vecteur p sont égales à 1
We study anisotropic p-Laplacian equations when some components of p are equal to 1
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Smigelski, Jeffrey Ralph. "Water Level Dynamics of the North American Great Lakes:Nonlinear Scaling and Fractional Bode Analysis of a Self-Affine Time Series." Wright State University / OhioLINK, 2013. http://rave.ohiolink.edu/etdc/view?acc_num=wright1379087351.

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Books on the topic "1-Laplace"

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Kotz, Samuel, Tomaz J. Kozubowski, and Krzysztof Podgórski. The Laplace Distribution and Generalizations. Boston, MA: Birkhäuser Boston, 2001. http://dx.doi.org/10.1007/978-1-4612-0173-1.

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Dyke, Philip P. G. An Introduction to Laplace Transforms and Fourier Series. London: Springer London, 2001. http://dx.doi.org/10.1007/978-1-4471-0505-3.

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Dyke, Phil. An Introduction to Laplace Transforms and Fourier Series. London: Springer London, 2014. http://dx.doi.org/10.1007/978-1-4471-6395-4.

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Selvadurai, A. P. S. Partial Differential Equations in Mechanics 1: Fundamentals, Laplace's Equation, Diffusion Equation, Wave Equation. Berlin, Heidelberg: Springer Berlin Heidelberg, 2000.

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Todhunter, I. A History of the Mathematical Theories of Attraction and the Figure of the Earth, from the Time of Newton to That of Laplace: Volume 1. Adamant Media Corporation, 2003.

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Epstein, Charles L., and Rafe Mazzeo. Holder Estimates for Higher Dimensional Corner Models. Princeton University Press, 2017. http://dx.doi.org/10.23943/princeton/9780691157122.003.0007.

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This chapter establishes Hölder space estimates for higher dimensional corner model problems. It first explains the homogeneous Cauchy problem before estimating the solution of the inhomogeneous problem in a n-dimensional corner. It then reduces the proof of an estimate in higher dimensions to the estimation of a product of 1-dimensional integrals. Using the “1-variable-at-a-time” method, the chapter proves the higher dimensional estimates in several stages by considering the “pure corner” case where m = 0, and then turns to the Euclidean case, where n = 0. It also discusses the resolvent operator as the Laplace transform of the heat kernel.
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Epstein, Charles L., and Rafe Mazzeo. Holder Estimates for Euclidean Models. Princeton University Press, 2017. http://dx.doi.org/10.23943/princeton/9780691157122.003.0008.

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This chapter presents the Hölder space estimates for Euclidean model problems. It first considers the homogeneous Cauchy problem and the inhomogeneous problem before defining the resolvent operator as the Laplace transform of the heat kernel. It then describes the 1-dimensional kernel estimates that form essential components of the proofs of the Hölder estimates for the general model problems; these include basic kernel estimates, first derivative estimates, and second derivative estimates. The proofs of these estimates are elementary. The chapter concludes by proving estimates on the resolvent and investigating the off-diagonal behavior of the heat kernel in many variables.
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Blundell, Katherine. 1. What is a black hole? Oxford University Press, 2015. http://dx.doi.org/10.1093/actrade/9780199602667.003.0001.

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A black hole is a region of space where the force of gravity is so strong that nothing, not even light, can travel fast enough to escape from its interior. ‘What is a black hole?’ outlines how they were first conceived by theoretical physicists such as John Michell, Henry Cavendish, Pierre-Simon Laplace, and Albert Einstein, and explains the concepts of singularity, escape velocity, the event horizon, and spacetime. Black holes have now been identified in the Universe in their hundreds and accounted for in their millions. Although invisible, these objects interact with and influence their surroundings in different ways depending on proximity relative to the black hole.
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Giordano, Claudia Marcela. Ecuaciones diferenciales parciales. Editorial de la Universidad Nacional de La Plata (EDULP), 2016. http://dx.doi.org/10.35537/10915/60310.

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El texto reúne los contenidos del curso semestral Ecuaciones Diferenciales Parciales que se dicta desde agosto de 2002 en la Facultad de Ciencias Astronómicas y Geofísicas de la UNLP para alumnos avanzados. Se requiere por parte del lector de una formación básica sobre Análisis Matemático en una y varias variables reales y en variable compleja, así como sobre Álgebra y Álgebra Lineal. Se halla organizado en ocho capítulos, y seis apéndices que incluyen material complementario. En estas notas desarrollaremos parte de lo que es una teoría general y clásica de EDP. El capítulo 1 desarrolla la teoría de integración de las ecuaciones generales de primer orden, presentando el método de las características para la obtención de soluciones generales, introduce los distintos tipos de soluciones o superficies integrales y trata la resolución de un problema de valor inicial o problema de Cauchy, discutiendo las condiciones necesarias y suficientes para la existencia de una solución única. El capítulo 2 aborda la clasificación y reducción a sus formas normales de las EDP de segundo orden. El capítulo 3 se dedica al estudio con cierto detalle de la ecuación de ondas en una dimensión espacial, paradigma de las ecuaciones lineales hiperbólicas. El estudio de procesos de conductividad térmica o difusión en una dimensión espacial descriptos por el arquetipo de las ecuaciones lineales parabólicas se incluye en el capítulo 4. La teoría relativa a la ecuación de Laplace y los problemas de contorno a ella asociados se aborda en el capítulo 5, brindando una detallada descripción de las condiciones necesarias para que los problemas sean ”bien planteados"; también se presentan interesantes propiedades de las funciones armónicas de frecuente aparición en el planteo matemático de problemas de la física. Las ecuaciones hiperbólicas y parabólicas en más de una dimensión espacial se estudian en los capítulos 6 y 7. El capítulo 8 presenta la teoría de los potenciales de volumen y de superficie, de doble y simple capa, y su aplicación al tratamiento de problemas de contorno para las ecuaciones de Laplace, Poisson y la ecuación de Helmholtz mediante la resolución de ecuaciones integrales. Los apéndices A, B y D cubren tópicos que resultan auxiliares para el abordaje de los problemas de contorno objeto de estudio de modo que el texto sea autocontenido. El método de separación de variables tratado en C constituye un tema importante que nos conducirá a los problemas de Sturm-Liouville y sus autovalores, resultados que se aplican en varios de los problemas resueltos y se describen en el apéndice E. Finalmente, el apéndice F brinda una introducción a los métodos de resolución de ecuaciones integrales. El libro contiene numerosos ejemplos resueltos, con el propósito de consolidar la comprensión de los tópicos abordados, y también un buen número de problemas propuestos, con sus soluciones respectivas, destinados a desarrollar en el lector la habilidad de resolverlos y el dominio de las estructuras matemáticas a ellos asociados.
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Selvadurai, A. P. S. Partial Differential Equations in Mechanics 1: Fundamentals, Laplace's Equation, Diffusion Equation, Wave Equation. Springer, 2000.

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Book chapters on the topic "1-Laplace"

1

Stroud, K. A., and Dexter Booth. "Laplace transforms 1." In Advanced Engineering Mathematics, 46–91. London: Macmillan Education UK, 2011. http://dx.doi.org/10.1057/978-0-230-34474-7_2.

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Stroud, K. A. "Laplace Transforms, Part 1." In Further Engineering Mathematics, 313–72. London: Macmillan Education UK, 1986. http://dx.doi.org/10.1007/978-1-349-18407-1_7.

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Stroud, K. A. "Laplace Transforms Part 1." In Further Engineering Mathematics, 281–334. London: Macmillan Education UK, 1996. http://dx.doi.org/10.1007/978-1-349-14020-6_7.

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Stroud, Ken A. "Laplace Transforms Part 1." In Further Engineering Mathematics, 313–72. New York, NY: Springer New York, 1990. http://dx.doi.org/10.1007/978-1-4757-6616-5_7.

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Dale, Andrew I. "Laplace." In A History of Inverse Probability, 145–256. New York, NY: Springer US, 1991. http://dx.doi.org/10.1007/978-1-4684-0415-9_6.

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Dale, Andrew I. "Laplace." In A History of Inverse Probability, 168–283. New York, NY: Springer New York, 1999. http://dx.doi.org/10.1007/978-1-4419-8652-8_7.

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Gass, Saul I., and Carl M. Harris. "Laplace transform." In Encyclopedia of Operations Research and Management Science, 440. New York, NY: Springer US, 2001. http://dx.doi.org/10.1007/1-4020-0611-x_517.

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Bassanini, Piero, and Alan R. Elcrat. "Laplace Equation." In Theory and Applications of Partial Differential Equations, 103–211. Boston, MA: Springer US, 1997. http://dx.doi.org/10.1007/978-1-4899-1875-8_4.

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Buschman, R. G. "Laplace Transformations." In Integral Transformations, Operational Calculus, and Generalized Functions, 1–61. Boston, MA: Springer US, 1996. http://dx.doi.org/10.1007/978-1-4613-1283-3_1.

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Logan, J. David. "Laplace Transforms." In Undergraduate Texts in Mathematics, 161–91. New York, NY: Springer New York, 2010. http://dx.doi.org/10.1007/978-1-4419-7592-8_4.

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Conference papers on the topic "1-Laplace"

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Liu, Fushun, Lei Jin, Jiefeng Chen, and Wei Li. "A Numerical Method for Representing Retardation Functions With Complex Exponentials." In ASME 2017 36th International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers, 2017. http://dx.doi.org/10.1115/omae2017-61204.

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Numerical time- or frequency-domain techniques can be used to analyze motion responses of a floating structure in waves. Time-domain simulations of a linear transient or nonlinear system usually involve a convolution terms and are computationally demanding, and frequency-domain models are usually limited to steady-state responses. Recent research efforts have focused on improving model efficiency by approximating and replacing the convolution term in the time domain simulation. Contrary to existed techniques, this paper will utilize and extend a more novel method to the frequency response estimation of floating structures. This approach represents the convolution terms, which are associated with fluid memory effects, with a series of poles and corresponding residues in Laplace domain, based on the estimated frequency-dependent added mass and damping of the structure. The advantage of this approach is that the frequency-dependent motion equations in the time domain can then be transformed into Laplace domain without requiring Laplace-domain expressions of the added mass and damping. Two examples are employed to investigate the approach: The first is an analytical added mass and damping, which satisfies all the properties of convolution terms in time and frequency domains simultaneously. This demonstrates the accuracy of the new form of the retardation functions; secondly, a numerical six degrees of freedom model is employed to study its application to estimate the response of a floating structure. The key conclusions are: (1) the proposed pole-residue form can be used to consider the fluid memory effects; and (2) responses are in good agreement with traditional frequency-domain techniques.
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Xiang, Mingming, Anderson Wilhelm, and Cheng Luo. "Transition From Cassie-Baxter to Wenzel States on Micropillar-Formed Surfaces Induced by Evaporation." In ASME 2011 International Mechanical Engineering Congress and Exposition. ASMEDC, 2011. http://dx.doi.org/10.1115/imece2011-65155.

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As a liquid droplet is placed on a rough surface, the wetting may be either in Wenzel state [1] or in Cassie-Baxter state [2]. In the Wenzel state, the droplet completely penetrates between microstructures (e.g., lines and pillars), while in the Cassie-Baxter state air is trapped between these microstructures and the droplet stays on top of the microstructures and trapped air. The Cassie-Baxter state may be transited to the Wenzel State when Laplace pressure reaches a certain value [3]. To date, three pressure criteria have been reported in the literature to predict when the transition may occur from the Cassie-Baxter state to the Wenzel State. The first criterion is [4] Pl−Pg>−4γlgcosθe2b(1+b2a),(1) where Pl is the pressure in liquid, Pg is the pressure in gas, (Pl − Pg) is so-called Laplace pressure, γlg is surface tension between liquid and gas, θe is the equilibrium contact angle on the flat surface and b is the space between two adjacent pillars. The second criterion has the form Pl−Pg>−4γlgcosθe2b.(2) The third criterion is given by [5] Pl−Pg>−4γlgcosθe2b.(3) Although these pressure criteria have similar forms, there still exist differences in their denominators. It is not clear which criterion gives the best prediction of the transition during the evaporation of a water droplet. Therefore, in this work, we examined these three criteria based on the experimental data obtained through in-situ observation of the transition of a droplet.
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3

Sharma, Kal Renganathan. "Mesoscopic Heat Conduction and Onset of Periodicity." In ASME 2003 Heat Transfer Summer Conference. ASMEDC, 2003. http://dx.doi.org/10.1115/ht2003-47391.

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Mesoscopic approach deals with study that considers temporal fluctuations which is often averaged out in a macroscopic approach without going into the molecular or microscopic approach. Transient heat conduction cannot be fully described by Fourier representation. The non-Fourier effects or finite speed of heat propagation effect is accounted for by some investigators using the Cattaneo and Vernotte non-Fourier heat conduction equation: q=−k∂T/∂x−τr∂q/∂t(1) A generalized expression to account for the non-Fourier or thermal inertia effects suggested by Sharma (5) as: q=−k∂T/∂x−τr∂q/∂t−τr2/2!∂2q/∂t2−τr3/3!∂3q/∂t3−…(2) This was obtained by a Taylor series expansion in time domain. Manifestation of higher order terms in the modified Fourier’w law as periodicity in the time domain is considered in this study. When a CWT is maintained at one end of a medium of length L where L is the distance from the isothermal wall beyond which there is no appreciable temperature change from the initial condition during the duration of the study the transient temperature profile is obtained by the method of Laplace transforms. The space averaged heat flux is obtained and upon inversion from Laplace domain found to be a constant for the the case obeying Fourier’s law; 1 − exp(−τ) using the Cattaneo and Vernotte non-Fourier heat conduction equation, and upon introduction of the second derivative in time of the heat flux the expression becomes, 1 − exp(−τ)(Sin(τ) + Cos(τ)). Thus the periodicity in time domain is lost when the higher order terms in the generalized Fourier expression is neglected.
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4

Ananth, Raju, and Minji Fong. "3D Solution of the Flow Field in a Boiling Water Reactor Annulus due to a Recirculation Outlet Line Break Using Heat Transfer Analogy." In ASME 2016 Pressure Vessels and Piping Conference. American Society of Mechanical Engineers, 2016. http://dx.doi.org/10.1115/pvp2016-63091.

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During a Loss of Coolant Accident (LOCA) in a Boiling Water Reactor (BWR), subcooled water flows past jet pump assemblies located in the annular region between the Reactor Pressure Vessel (RPV) and the shroud as it moves toward the break location and is subsequently discharged from the RPV. Flow loads caused by such an event are required design basis loads that must be considered for BWR internal components. In previous works [1, 2], the three dimensional (3-D) flow field problem was simplified to be a 2-D problem by assuming the radial velocity variations to be negligible. The 2-D problem was solved using complex function techniques by assuming a potential flow. Further, the velocity field had to be suitably scaled up to account for the presence of components such as the jet pumps in the annulus. In order to solve the problem in the realistic environment of a populated annulus, this paper illustrates a methodology where Finite Element Analysis (FEA) is used to perform a 3-D potential fluid flow calculation utilizing the analogy that exists between steady state heat transfer and potential flow problems. For an ideal fluid, the potential flow and irrotational flow assumptions will result in the Laplace equation as the governing equation for the velocity field. This is the same equation that governs the steady state heat transfer in any domain of interest where the temperature field is determined by solving the Laplace equation and applying the appropriate boundary conditions. Once the analogy between steady state heat transfer problems and potential flow problems governed by Laplace equation can be established, any commercially available finite-element code may be employed to solve such fluid flow problems involving complicated regions of interest by employing elements meant to solve heat transfer problems. For illustration purposes, a LOCA flow problem will be solved using Finite Element Model (FEM) thermal elements and compared against 2-D flow field results.
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5

Brown, Christopher R., Bahador Farshchian, Pin-Chuan Chen, Taehyun Park, Sunggook Park, and Michael C. Murphy. "Novel, Gasketless, Interconnect Using Parallel Superhydrophobic Surfaces for Modular Microfluidic Systems." In ASME 2011 International Mechanical Engineering Congress and Exposition. ASMEDC, 2011. http://dx.doi.org/10.1115/imece2011-64073.

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A novel, modular, microfluidic interconnect was developed using parallel superhydrophobic interfaces to facilitate the transport of fluids between component chips in modular microfluidic systems. A static analytical model, derived from the Laplace equation [1], approximates the maximum steady-state pressure of the liquid at the liquid bridge which forms across the gap between the chips. Preliminary experiments using parallel superhydrophobic surfaces on PMMA validated the concept. Additional experiments controlled the gap distance, measured contact angles of the superhydrophobic surfaces, gradually increased the pressure of the novel, gasketless, interconnect until rupture to find the maximum pressure across the liquid bridge and verify the model. The measured pressures were on the same order of magnitude (1–10 kPa) as estimated using the model for gap distances of 25 μm and 100 μm.
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6

Pang, Yu, Hong-Zhong Huang, Yu Liu, and Min Xie. "A Systematic Approach to the Reliability Analysis of an n-Unit Warm Standby System With k-Repair Facility." In ASME 2009 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2009. http://dx.doi.org/10.1115/detc2009-86995.

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A systematic reliability analysis of n-unit warm standby repairable system with k-repair facility is presented in this paper. Traditional approaches are extended under the following assumptions: (1) the working lifetime, the standby lifetime, and the repair time of failed units are represented as exponential distribution; and (2) the repair of failed units are as good as new after repair. In this paper, a general reliability analysis of an n-unit warm standby repairable system with k-repair facility is presented. Based on previous analysis, the steady-state reliability and the average availability of the system are formulated using the Markov process theory and Laplace transform.
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7

Tous, Elena, Jamie L. Ifkovits, Shauna M. Dorsey, Spencer E. Szczesny, Kevin J. Koomalsingh, Takashi Shuto, Toru Soeda, et al. "Tunable Hyaluronic Acid Hydrogels to Alter and Understand Left Ventricular Remodeling." In ASME 2012 Summer Bioengineering Conference. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/sbc2012-80284.

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Heart disease causes about 15% of deaths in the United States; about two thirds of these cases are due to coronary artery disease [1]. Post myocardial infarction (MI), left ventricular (LV) remodeling ensues and leads to geometric changes that result in dilation and thinning of the myocardial wall. This increases stress in the infarct and healthy tissue and ultimately results in heart failure. Injectable bulking agents have recently emerged as a promising therapy to address these maladaptive changes. As suggested by the Law of Laplace, thickening of the myocardium should decrease stress on the heart and potentially attenuate the negative effects of LV remodeling [2].
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8

Lu, Wen-Qiang, and Qing-Mei Fan. "Non-Fourier Heat Conduction Phenomena Applied Different Temperature and Heat Flux Pulses on Boundary." In ASME 2008 First International Conference on Micro/Nanoscale Heat Transfer. ASMEDC, 2008. http://dx.doi.org/10.1115/mnht2008-52287.

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A new numerical method [1], which combines the dual reciprocity boundary element method with Laplace transforms, has been used to solve ultrafast heat conduction problems. By this method, the time micro scale heat transfer problems applied different extreme high frequency temperature and heat flux pulses (the width of a single pulse is less than 10−12 s) on the boundary are simulated in this paper. Numerical results open out some phenomena of non-Fourier heat conduction. “Thermal accumulation (TA)” as a typical phenomenon of non-Fourier heat conduction takes on different characteristics under different pulsed conditions. The pulse time-width has important effect on the non-Fourier characteristics for single pulse, while different pulse periods for seriate pulse make obvious different non-Fourier characteristics.
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9

Bhardwaj, Rajneesh, Jon P. Longtin, and Daniel Attinger. "Interfacial Heat Transfer During Droplet Impact on a Solid Surface: Comparison of High-Resolution Laser Measurements With Finite-Element Simulations." In ASME 2007 International Mechanical Engineering Congress and Exposition. ASMEDC, 2007. http://dx.doi.org/10.1115/imece2007-43087.

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The objective of this work is to understand the coupling of fluid dynamics and heat transfer during the impact of a millimeter-size water droplet on a flat, solid glass substrate. In this work, a finite-element model is presented which simulates the transient fluid dynamics and heat transfer during the droplet deposition process, considering Laplace forces on the liquid-gas boundary, and the dynamics of wetting. A novel, experimental laser-based method is used to measure temperatures at the solid-liquid interface. This method is based on a thermoreflectance technique and provides unprecedented temporal and spatial resolutions of 1 microsecond and 20 micrometer, respectively. Matching between simulations, temperature measurements and high-speed visualization allows the determination of the interfacial heat transfer coefficient.
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10

Poguluri, Sunny Kumar, Krishnankutty Parameswaran, and Vendhan Chiruvai Pattu. "A Study of Adams-Bashforth Method in the Finite Element Based Model for Nonlinear Water Waves." In ASME 2016 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2016. http://dx.doi.org/10.1115/imece2016-66006.

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The problem of nonlinear water waves, which is of great practical importance in ocean engineering, has been studied vigorously for over three decades by adopting a Mixed Eulerian-Lagrangian (MEL) formulation that employs the fully nonlinear potential flow theory (FNPT). In this approach, the free surface equations in the Lagrangian frame are solved using a time marching procedure and the Laplace equation in the fluid domain is solved in the Eulerian frame. While the boundary integral/element method for solving the Laplace equation has been studied for over 4 decades, the finite element (FE) method has been investigated during the last 2 decades. Time domain (TD) integration of the free surface equations in the MEL model is a crucial step. In the FE based MEL model, FE solution of the Laplace equation, which is the most computationally intensive part, is required at each time step. The fourth order Runge-Kutta (RK4) method, which involves four function evaluations at each time step, has been widely used for solving the free surface equations. In this context, the third and fourth order Adams-Bashforth (AB3 & AB4) methods that involve only one function evaluation at each time step are worth considering. For a chosen time step, the RK4 method is much more accurate than the AB methods, in addition to having much better stability. So, it is essential to study the performance of the AB methods from the view point of accuracy and stability, with a focus on computational economy. In the present paper, such a study has been undertaken employing a MEL computation capability recently developed by the authors. Since the accuracy of MEL solution to sloshing problems is not hindered by radiation boundary condition (r.b.c.), it has been adopted here to carry out simulations over several wave cycles. Since long-time nonlinear simulations using the MEL formulation are generally hampered by instability, the case of small amplitude sloshing has been simulated for about 1000 wave cycles using the AB3 and AB4 algorithms. In the MEL numerical model, errors accrue at every time step because of numerical integration, FE solution of the Laplace equation and estimation of velocities using the FE solution. The errors in the amplitude and phase of free surface waves have been estimated and compared for different simulations. The errors in the FE solution at every time step, which is an input for the next time stepping calculation, appear contained and no solution instability has been noticed. As a second example, nonlinear sloshing with a moderate steepness of 1/30 has been considered. For this case, simulations could not be carried out beyond about 30 to 50 cycles, because of the well known saw-tooth instability associated with the Lagrangian model for the free surface equations. This instability manifests as Jacobian determinant error in the isoparametric element formulation. Interestingly, this seems to provide a diagnostic to detect saw-tooth instability in the MEL model. It would be useful to develop accurate smoothing techniques to overcome this instability and also extend the computation capability to problems with higher wave steepness.
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