Relevant bibliographies by topics / Predictor-corrector method

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
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Academic literature on the topic 'Predictor-corrector method'

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Published: 4 June 2021
Last updated: 11 February 2022

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Journal articles on the topic "Predictor-corrector method"

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Adetola Olaide, Adesanya, M. R. Odekunle, and A. O. Adeyeye. "Continuous Block-Predictor Hybrid-Corrector Method." International Journal of Mathematics and Soft Computing 2, no. 2 (July 21, 2012): 35. http://dx.doi.org/10.26708/ijmsc.2012.2.2.05.

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JOSHI, MARK, and ALEXANDER WIGUNA. "ACCELERATING PATHWISE GREEKS IN THE LIBOR MARKET MODEL." International Journal of Theoretical and Applied Finance 15, no. 02 (March 2012): 1250012. http://dx.doi.org/10.1142/s0219024912500124.

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In the framework of the displaced-diffusion LIBOR market model, we derive the pathwise adjoint method for the iterative predictor-corrector and one of the Glasserman–Zhao drift approximations in the spot measure. This allows us to compute fast deltas and vegas under these schemes. We compare the discretisation bias obtained when computing Greeks with these methods to those obtained under the log-Euler and predictor-corrector approximations by performing tests with interest rate caplets and cancellable receiver swaps. The two predictor-corrector type methods were the most accurate by far. In particular, we found the iterative predictor-corrector method to be more accurate and slightly faster than the predictor-corrector method, the Glasserman–Zhao method, used, to be relatively fast but highly inconsistent, and the log-Euler method to be reasonably accurate but only at low volatilities. Standard errors were not significantly different across all four discretisations.
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Shang, Dequan, and Xiaobin Guo. "Adams Predictor-Corrector Systems for Solving Fuzzy Differential Equations." Mathematical Problems in Engineering 2013 (2013): 1–12. http://dx.doi.org/10.1155/2013/312328.

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A predictor-corrector algorithm and an improved predictor-corrector (IPC) algorithm based on Adams method are proposed to solve first-order differential equations with fuzzy initial condition. These algorithms are generated by updating the Adams predictor-corrector method and their convergence is also analyzed. Finally, the proposed methods are illustrated by solving an example.
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Luo, Zhiquan, Shiquan Wu, and Yinyu Ye. "Predictor-corrector method for nonlinear complementarity problem." Acta Mathematicae Applicatae Sinica 13, no. 3 (July 1997): 321–28. http://dx.doi.org/10.1007/bf02025887.

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Inayat Noor, Khalida, and Muhammad Aslam Noor. "Predictor–corrector Halley method for nonlinear equations." Applied Mathematics and Computation 188, no. 2 (May 2007): 1587–91. http://dx.doi.org/10.1016/j.amc.2006.11.023.

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Oghonyon, J. G., S. A. Okunuga, K. S. Eke, and O. A. Odetunmibi. "Block Milne’s Implementation For Solving Fourth Order Ordinary Differential Equations." Engineering, Technology & Applied Science Research 8, no. 3 (June 19, 2018): 2943–48. http://dx.doi.org/10.48084/etasr.1914.

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Block predictor-corrector method for solving non-stiff ordinary differential equations (ODEs) started with Milne’s device. Milne’s device is an extension of the block predictor-corrector method providing further benefits and better results. This study considers Milne’s devise for solving fourth order ODEs. A combination of Newton’s backward difference interpolation polynomial and numerical integration method are applied and integrated at some selected grid points to formulate the block predictor-corrector method. Moreover, Milne’s devise advances the computational efficiency by applying the principal local truncation error (PLTE) of the block predictor-corrector method after establishing the order. The numerical results were exhibited to attest the functioning of Milne’s devise in solving fourth order ODEs. The complete results were obtained with the aid of Mathematica 9 kernel for Microsoft Windows. Numerical results showcase that Milne’s device is more effective than existent methods in terms of design new step size, determining the convergence criteria and maximizing errors at all examined convergence levels.
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Balbo, Antonio Roberto, Márcio Augusto da Silva Souza, Edméa Cássia Baptista, and Leonardo Nepomuceno. "Predictor-Corrector Primal-Dual Interior Point Method for Solving Economic Dispatch Problems: A Postoptimization Analysis." Mathematical Problems in Engineering 2012 (2012): 1–26. http://dx.doi.org/10.1155/2012/376546.

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This paper proposes a predictor-corrector primal-dual interior point method which introduces line search procedures (IPLS) in both the predictor and corrector steps. The Fibonacci search technique is used in the predictor step, while an Armijo line search is used in the corrector step. The method is developed for application to the economic dispatch (ED) problem studied in the field of power systems analysis. The theory of the method is examined for quadratic programming problems and involves the analysis of iterative schemes, computational implementation, and issues concerning the adaptation of the proposed algorithm to solve ED problems. Numerical results are presented, which demonstrate improvements and the efficiency of the IPLS method when compared to several other methods described in the literature. Finally, postoptimization analyses are performed for the solution of ED problems.
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Choi, Hong Won, Young Ju Choi, and Sang Kwon Chung. "A PREDICTOR-CORRECTOR METHOD FOR FRACTIONAL EVOLUTION EQUATIONS." Bulletin of the Korean Mathematical Society 53, no. 6 (November 30, 2016): 1725–39. http://dx.doi.org/10.4134/bkms.b150901.

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Kim, Jong Hoon, and Yong Hyup Kim. "A predictor–corrector method for structural nonlinear analysis." Computer Methods in Applied Mechanics and Engineering 191, no. 8-10 (December 2001): 959–74. http://dx.doi.org/10.1016/s0045-7825(01)00296-1.

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Bao, Zong-Ke, Ming Huang, and Xi-Qiang Xia. "A Predictor-Corrector Method for Solving Equilibrium Problems." Abstract and Applied Analysis 2014 (2014): 1–11. http://dx.doi.org/10.1155/2014/313217.

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We suggest and analyze a predictor-corrector method for solving nonsmooth convex equilibrium problems based on the auxiliary problem principle. In the main algorithm each stage of computation requires two proximal steps. One step serves to predict the next point; the other helps to correct the new prediction. At the same time, we present convergence analysis under perfect foresight and imperfect one. In particular, we introduce a stopping criterion which gives rise toΔ-stationary points. Moreover, we apply this algorithm for solving the particular case: variational inequalities.
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Dissertations / Theses on the topic "Predictor-corrector method"

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Rydberg, David. "GPU Predictor-Corrector Interior Point Method for Large-Scale Linear Programming." Thesis, KTH, Numerisk analys, NA, 2015. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-168672.

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This master’s thesis concerns the implementation of a GPUaccelerated version of Mehrotra’s predictor-corrector interior point algorithm for large-scale linear programming (LP). The implementations are tested on LP problems arising in the financial industry, where there is high demand for faster LP solvers. The algorithm was implemented in C++, MATLAB and CUDA, using double precision for numerical stability. A performance comparison showed that the algorithm can be accelerated from 2x to 6x using an Nvidia GTX Titan Black GPU compared to using only an Intel Xeon E5-2630v2 CPU. The amount of memory on the GPU restricts the size of problems that can be solved, but all tested problems that are small enough to fit on the GPU could be accelerated.
Detta masterexamensarbete behandlar implementeringen av en grafikkortsaccelererad inrepunktsmetod av predictor-corrector-typ för storskalig linjärprogrammering (LP). Implementeringarna testas på LP-problem som uppkommer i finansbranschen, där det finns ett stort behov av allt snabbare LP-lösare. Algoritmen implementeras i C++, MATLAB och CUDA, och dubbelprecision används för numerisk stabilitet. En prestandajämförelse visade att algoritmen kan accelereras 2x till 6x genom att använda ett Nvidia GTX Titan Black jämfört med att bara använda en Intel Xeon E5-2630v2. Mängden minne på grafikkortet begränsar problemstorleken, men alla testade problem som får plats i grafikkortsminnet kunde accelereras.
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Haasler, Isabel. "A predictor corrector method for a Finite ElementMethod for the variable density Navier-Stokes equations." Thesis, KTH, Numerisk analys, NA, 2017. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-214837.

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Constructing Finite Element Methods for the incompressible Navier-Stokes equations that are computationally feasible requires the use of pressure segregation methods such as the predictor corrector scheme. From an algebraic point of view these methods correspond to a preconditioned Richardson iteration on the pressure Schur complement. In this work the theory is extended to a variable density model. We suggest a modified preconditioner and investigate its performance experimentally.
Konstruktion av Finita Elementmetoder för de inkompressibla Navier-Stokes ekvationer som är beräkningsmässigt genomförbara kräver användning av trycksegregeringsmetoder såsom prediktorkorrigeringsschemat. Från en algebraisk synvinkel motsvarar dessa metoder en förkonditionerad Richardsoniteration på tryck-Schur-komplementet. I detta arbete utvidgas teorin till en variabel-densitet-modell. Vi föreslår en modifierad preconditioner och undersöker prestanda experimentellt.
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Carvalho, Lilian Milena Ramos. ""Métodos de pontos interiores aplicados ao pré-despacho de um sistema hidroelétrico usando o princípio de mínimo esforço - comparação com o modelo de fluxo em redes"." Universidade de São Paulo, 2005. http://www.teses.usp.br/teses/disponiveis/55/55134/tde-06072006-153856/.

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Neste trabalho, os métodos de pontos interiores primal-dual e preditor corretor são estudados e desenvolvidos para o problema de minimização de custos na geração e perdas na transmissão do pré-despacho DC (fluxo de carga em corrente contínua) de um sistema de potência hidroelétrico, com base no modelo de fluxo em redes e no princípio do mínimo esforço. A estrutura matricial, resultante da simplificação do problema proposto pela inclusão do princípio do mínimo esforço, é estudada visando implementações eficientes.
In this work, the primal-dual and predictor corrector interior points methods are studied and developed for the predispatch DC problem that minimizes generation and transmission losses on hydroelectric power systems, on the basis of the network flow model and the minimum effort principle. The matrix structure, resulting of the simplification of the problem considered by inclusion of the minimum effort principle, is studied aiming efficient implementations. A disturbed primal-dual method is considered on the basis of a heuristic definition that determine the choice of the disturbance parameter. This method showed to be efficient in practice and converged in fewer iterations when compare with an existing implementation of the network flow model.
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Shirabayashi, Wesley Vagner Ines. "Estrategias de segunda ordem para problemas de complementaridade." [s.n.], 2009. http://repositorio.unicamp.br/jspui/handle/REPOSIP/306537.

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Orientadores: Sandra Augusta Santos, Roberto Andreani
Tese (doutorado) - Universidade Estadual de Campinas, Instituto de Matematica, Estatistica e Computação Cientifica
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Resumo: Neste trabalho reformulamos o problema de complementaridade não linear generalizado (GNCP) em cones poliedrais como um sistema não linear com restrição de não negatividade em algumas variáveis, e trabalhamos na resolução de tal reformulação por meio de estratégias de pontos interiores. Em particular, definimos dois algoritmos e provamos a convergência local de tais algoritmos sob hipóteses usuais. O primeiro algoritmo é baseado no método de Newton, e o segundo, no método tensorial de Chebyshev. O algoritmo baseado no método de Chebyshev pode ser visto como um método do tipo preditor-corretor. Tal algoritmo, quando aplicado a problemas em que as funções envolvidas são afins, e com escolhas adequadas dos parâmetros, torna-se o bem conhecido algoritmo preditor-corretor de Mehrotra. Também apresentamos resultados numéricos que ilustram a competitividade de ambas as propostas.
Abstract: In this work we reformulate the generalized nonlinear complementarity problem (GNCP) in polyhedral cones as a nonlinear system with nonnegativity in some variables and propose the resolution of such reformulation through interior-point methods. In particular we define two algorithms and prove the local convergence of these algorithms under standard assumptions. The first algorithm is based on Newton's method and the second, on the Chebyshev's tensorial method. The algorithm based on Chebyshev's method may be considered a predictor-corrector one. Such algorithm, when applied to problems for which the functions are affine, and the parameters are properly chosen, turns into the well-known Mehrotra's predictor corrector algorithm. We also present numerical results that illustrate the competitiveness of both proposals.
Doutorado
Otimização
Doutor em Matemática Aplicada
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Mariano, Cristiane Regina. "Estudo e análise do desempenho do método barreira modificada." Universidade de São Paulo, 2006. http://www.teses.usp.br/teses/disponiveis/18/18154/tde-15022007-163305/.

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Este trabalho tem por objetivo estudar e analisar a influência do parâmetro de barreira e de seu fator de correção no processo de convergência dos métodos de pontos interiores primal-dual, primal-dual barreira modificada e primal-dual barreira modificada com as técnicas preditor-corretor e Newton composto. A grande motivação para o desenvolvimento desta pesquisa está relacionada com a busca de métodos eficientes para resolver problemas de otimização de programação não-linear, existentes na área de engenharia elétrica mais especificamente na operação de sistemas elétricos de potência. Esses métodos foram aplicados a um problema de programação não-linear e aos sistemas elétricos de três e de trinta barras para analisar a sensibilidade em relação ao parâmetro de barreira e ao seu fator de correção.
This work has for objective to study and to analyze the influence of the barrier parameter and its correction factor in the convergence process of the methods primal-dual interior point, primal-dual modified barrier and primal-dual barrier modified with the techniques predictor-corrector and composed Newton. The great motivation for the development of this research is related with the search of efficient methods to solve nonlinear programming optimization problems, existent in the area of electric engineering more specifically in the operation of power systems. Those methods were applied to a nonlinear programming problem and the electric systems of three and thirty buses to analyze the sensibility in relation to the barrier parameter and its correction factor.
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Santos, Claudia Augusta dos. "Métodos numéricos para o retoque digital /." São José do Rio Preto : [s.n.], 2005. http://hdl.handle.net/11449/94281.

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Orientador: Maurílio Boaventura
Banca: Antonio Castelo Filho
Banca: Heloisa Helena Marino Silva
Resumo: O objetivo deste trabalho þe aplicar Mþetodos Numþericos de ordem de precisão mais alta ao problema de Retoque Digital, visando melhorar a qualidade da aproximação quando comparada com o Método de Euler, que þe geralmente utilizado para esse tipo de problema. Para testar a eficiência de tais métodos, utilizamos três modelos de Retoque Digital: o modelo proposto por Bertalmþýo, Sapiro, Ballester e Caselles (BSBC), o modelo de Rudin, Osher e Fatemi conhecido como Variacional Total (TV) e o modelo de Chan e Shen, chamado de Difusão Guiada pela Curvatura (CDD).
Abstract: The purpose of this work is to apply Numerical Methods of higher order to the problem of Digital Inpainting, aiming to improve the quality of the approach when compared with the Euler’s Method which is generally used for this kind of problem. To test the e ciency of these methods we use three models of Digital Inpainting: the model considered by Bertalmþýo, Sapiro, Ballester and Caselles (BSBC), the model of Rudin, Osher and Fatemi known as Total Variation (TV) and the model of Chan and Shen, named Curvature Driven Di usion (CDD)
Mestre
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Santos, Claudia Augusta dos [UNESP]. "Métodos numéricos para o retoque digital." Universidade Estadual Paulista (UNESP), 2005. http://hdl.handle.net/11449/94281.

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Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
O objetivo deste trabalho þe aplicar Mþetodos Numþericos de ordem de precisão mais alta ao problema de Retoque Digital, visando melhorar a qualidade da aproximação quando comparada com o Método de Euler, que þe geralmente utilizado para esse tipo de problema. Para testar a eficiência de tais métodos, utilizamos três modelos de Retoque Digital: o modelo proposto por Bertalmþýo, Sapiro, Ballester e Caselles (BSBC), o modelo de Rudin, Osher e Fatemi conhecido como Variacional Total (TV) e o modelo de Chan e Shen, chamado de Difusão Guiada pela Curvatura (CDD).
The purpose of this work is to apply Numerical Methods of higher order to the problem of Digital Inpainting, aiming to improve the quality of the approach when compared with the Euler s Method which is generally used for this kind of problem. To test the e ciency of these methods we use three models of Digital Inpainting: the model considered by Bertalmþýo, Sapiro, Ballester and Caselles (BSBC), the model of Rudin, Osher and Fatemi known as Total Variation (TV) and the model of Chan and Shen, named Curvature Driven Di usion (CDD)
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Yang, Liming. "Parallel block predictor-corrector methods for the numerical solution of ODE's." Thesis, University of Ottawa (Canada), 1993. http://hdl.handle.net/10393/6802.

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Stability and efficiency (i.e. derivative function evaluations per processor) are the two main considerations in deriving good numerical methods for ODE's. The underlying challenge is to increase the stability region while maintaining or even improving efficiency. To achieve this, some extensions of predictor-corrector based methods, which apply a fixed number of corrector iterations, are considered. This thesis studies two particular members of a family of methods called the Parallel Block Predictor-Corrector Family, which are based on these extensions. These two members are called PBPC/2 and PBPC/3. They are characterized by iterated corrector evaluations carried out in two adjacent blocks. Stability properties of these methods are analyzed and compared with some existing block-based parallel predictor-corrector methods. Performance of the PBPC/2 and PBPC/3 methods and these existing block-based parallel predictor-corrector methods is compared using solution formulas which extend over a range of integration orders and which use various number of processors. The results obtained from a stability analysis and from a collection of numerical experiments indicate that the proposed methods provide a potential opportunity to balance stability properties and efficiency in the parallel computer systems.
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Solakoglu, Erhan. "Modélisation des écoulements compressibles turbulents. Interaction onde de choc/couche limite turbulente." Rouen, 1994. http://www.theses.fr/1994ROUES023.

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Le travail présenté dans ce mémoire est consacré à la modélisation de la turbulence, étudiée dans le cadre particulier de la simulation d'interactions onde de choc/couche limite. Les cas-tests étudiés sont: canal transsonique 2D avec bosse à la paroi, écoulement supersonique 2D sur une marche montante et canal transsonique 3D avec bosse en flèche. Les modèles de turbulence utilisés sont: modèle algébrique de Baldwin-Lomax et modèle k-epsilon de Jones-Launder. Une revue bibliographique fait l'objet du premier chapitre. Le deuxième chapitre développe des équations de Navier-Stokes, moyennées au sens de Favre. Le problème de la fermeture des équations moyennées et les différents modèles de turbulence sont présentés dans le troisième chapitre. Dans le quatrième chapitre, la méthode numérique prédicteur-correcteur de Maccormack, implicite et volumes finis, est détaillée. L'exploitation et l'analyse des résultats numériques constituent le cinquième chapitre. Le dernier chapitre est consacré aux conclusions et perspectives
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Chen, Min. "An investigation of the parallel predictor-corrector class of methods for the solution of ode's." Thesis, University of Ottawa (Canada), 1989. http://hdl.handle.net/10393/5993.

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Books on the topic "Predictor-corrector method"

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Enenkel, Robert Frederick. Implementation of parallel predictor-corrector Runge-Kutta methods. Toronto: University of Toronto, Dept. of Computer Science, 1988.

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Eberhardt, Scott. Development of an automatic grid generator for multi-element high-lift wings: Final report, NASA joint interchange NCC2-5152. [Washington, DC: National Aeronautics and Space Administration, 1996.

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Center, Langley Research, ed. On the coupling of CDISC design method with FPX rotor code. Hampton, Va: National Aeronautics and Space Administration, Langley Research Center, 2000.

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Center, Langley Research, ed. On the coupling of CDISC design method with FPX rotor code. Hampton, Va: National Aeronautics and Space Administration, Langley Research Center, 2000.

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Adaptive finite element methods for continuum damage modeling. [Washington, D.C: National Aeronautics and Space Administration, 1995.

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Enenkel, Robert Frederick. Implementation of parallel predictor-corrector Runge-Kutta methods. 1988.

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C, Banks David, and Institute for Computer Applications in Science and Engineering., eds. A predictor-corrector scheme for vortex identification. Hampton, Va: Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, 1994.

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C, Banks David, and Institute for Computer Applications in Science and Engineering., eds. A predictor-corrector scheme for vortex identification. Hampton, Va: Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, 1994.

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C, Banks David, and Institute for Computer Applications in Science and Engineering., eds. A predictor-corrector scheme for vortex identification. Hampton, Va: Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, 1994.

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A, Singer Bart, and Institute for Computer Applications in Science and Engineering., eds. A predictor-corrector technique for visualizing unsteady flow. Hampton, VA: Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, 1995.

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Book chapters on the topic "Predictor-corrector method"

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Kordulla, W. "Using an Unfactored Implicit Predictor-Corrector Method." In Numerical Simulation of Compressible Navier-Stokes Flows, 165–82. Wiesbaden: Vieweg+Teubner Verlag, 1987. http://dx.doi.org/10.1007/978-3-322-87873-1_10.

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Grigat, Ernst, and Gottfried Sachs. "Predictor-Corrector Continuation Method for Optimal Control Problems." In Variational Calculus, Optimal Control and Applications, 223–32. Basel: Birkhäuser Basel, 1998. http://dx.doi.org/10.1007/978-3-0348-8802-8_22.

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Ju, Jianwei, and Giovanni Lapenta. "Predictor-Corrector Preconditioned Newton-Krylov Method For Cavity Flow." In Lecture Notes in Computer Science, 82–89. Berlin, Heidelberg: Springer Berlin Heidelberg, 2005. http://dx.doi.org/10.1007/11428831_11.

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Kozlinskaya, T., and V. Kovenya. "The Predictor–Corrector Method for Solving of Magnetohydrodynamic Problems." In Hyperbolic Problems: Theory, Numerics, Applications, 625–33. Berlin, Heidelberg: Springer Berlin Heidelberg, 2008. http://dx.doi.org/10.1007/978-3-540-75712-2_62.

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Kwok, Felix. "A Parallel Crank–Nicolson Predictor-Corrector Method for Many Subdomains." In Lecture Notes in Computational Science and Engineering, 799–808. Cham: Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-05789-7_77.

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Burke, James V., and Song Xu. "A Non-Interior Predictor-Corrector Path-Following Method for LCP." In Reformulation: Nonsmooth, Piecewise Smooth, Semismooth and Smoothing Methods, 45–63. Boston, MA: Springer US, 1998. http://dx.doi.org/10.1007/978-1-4757-6388-1_3.

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Wisniewski, K., E. Turska, L. Simoni, and B. A. Schrefler. "Error Analysis of Staggered Predictor-Corrector Scheme for Consolidation of Porous Media." In The finite element method in the 1990’s, 192–201. Berlin, Heidelberg: Springer Berlin Heidelberg, 1991. http://dx.doi.org/10.1007/978-3-662-10326-5_20.

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Woiwode, Lukas, Nidish Narayanaa Balaji, Jonas Kappauf, Fabia Tubita, Louis Guillot, Christophe Vergez, Bruno Cochelin, Aurélien Grolet, and Malte Krack. "Comparison of ANM and Predictor-Corrector Method to Continue Solutions of Harmonic Balance Equations." In Nonlinear Structures and Systems, Volume 1, 239–42. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-12391-8_34.

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Tsakmakis, Charalampos, and Adrian Willuweit. "Use of the Elastic Predictor-Plastic Corrector Method for Integrating Finite Deformation Plasticity Laws." In Deformation and Failure in Metallic Materials, 79–106. Berlin, Heidelberg: Springer Berlin Heidelberg, 2003. http://dx.doi.org/10.1007/978-3-540-36564-8_4.

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Cao, Deng-Qing, Jin-Lin Wang, and Wen-Hu Huang. "Order Reduction of a Two-Span Rotor-Bearing System Via the Predictor-Corrector Galerkin Method." In Dynamical Systems, 263–73. New York, NY: Springer New York, 2010. http://dx.doi.org/10.1007/978-1-4419-5754-2_22.

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Conference papers on the topic "Predictor-corrector method"

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KORDULLA, W. "Using an unfactored predictor-corrector method." In 25th AIAA Aerospace Sciences Meeting. Reston, Virigina: American Institute of Aeronautics and Astronautics, 1987. http://dx.doi.org/10.2514/6.1987-423.

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Mesˇtrovic´, Mladen. "An Application of Modified Predictor-Corrector Method." In ASME/JSME 2004 Pressure Vessels and Piping Conference. ASMEDC, 2004. http://dx.doi.org/10.1115/pvp2004-2773.

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Abstract:
The explicit numerical integration method, introduced and proposed in the paper given by Chiou and Wu [1], is further developed. The method is based on the relationship that m-step Adams-Moulton method is linear convex combination of the (m − 1)-step Adams-Moulton and m-step Adams-Bashforth method with a fixed weighting coefficients. The general form taken from Chiou and Wu [1] is used to evaluate the recurrence expressions using the different number of previous mesh points. The explicit expressions are given for modified 3-step predictor-corrector method. The numerical algorithms are given for first and second-order nonlinear initial value problems and for system of ordinary differential equations. Some numerical examples, for different kind of problems, are used to demonstrate the efficiency and the accuracy of the proposed numerical method. The calculated numerical solutions show superiority of presented modified predictor-corrector method to standard Adams-Bashforth-Moulton predictor-corrector method.
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Manohar, Arun, A. V. Varun, and Raman Pillai Sujith. "An Automated Predictor-Corrector Method for Vortex Detection." In 46th AIAA Aerospace Sciences Meeting and Exhibit. Reston, Virigina: American Institute of Aeronautics and Astronautics, 2008. http://dx.doi.org/10.2514/6.2008-242.

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Yamamura, Kiyotaka, and Kiyoshi Adachi. "A modified predictor-corrector method for tracing solution curves." In 2016 IEEE Asia Pacific Conference on Circuits and Systems (APCCAS). IEEE, 2016. http://dx.doi.org/10.1109/apccas.2016.7803979.

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Chi, Xiaoni, and Wenlue Chen. "A predictor-corrector smoothing method for symmetric conic linear programming." In 2010 Seventh International Conference on Fuzzy Systems and Knowledge Discovery (FSKD). IEEE, 2010. http://dx.doi.org/10.1109/fskd.2010.5569471.

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Gulin, Marko, Mario Vasak, and Jadranko Matusko. "Predictor-corrector method for weather forecast improvement using local measurements." In 2015 International Conference on Electrical Drives and Power Electronics (EDPE). IEEE, 2015. http://dx.doi.org/10.1109/edpe.2015.7325289.

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Chang, Kerk Lee, and Rohanin Bt Ahmad. "Global optimization using homotopy with 2-step predictor-corrector method." In PROCEEDINGS OF THE 3RD INTERNATIONAL CONFERENCE ON MATHEMATICAL SCIENCES. AIP Publishing LLC, 2014. http://dx.doi.org/10.1063/1.4882546.

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Liao-McPherson, Dominic, Marco M. Nicotra, and Ilya V. Kolmanovsky. "A Semismooth Predictor Corrector Method for Suboptimal Model Predictive Control." In 2019 18th European Control Conference (ECC). IEEE, 2019. http://dx.doi.org/10.23919/ecc.2019.8796089.

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Carrington, David B., Xiuling Wang, and Darrell W. Pepper. "A PREDICTOR-CORRECTOR SPLIT PROJECTION METHOD FOR TURBULENT REACTIVE FLOW." In Proceedings of CHT-12. ICHMT International Symposium on Advances in Computational Heat Transfer. Connecticut: Begellhouse, 2012. http://dx.doi.org/10.1615/ichmt.2012.cht-12.280.

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Allahviranloo, T., N. Ahmady, E. Ahmady, Alberto Cabada, Eduardo Liz, and Juan J. Nieto. "Improved Predictor Corrector Method for solving fuzzy initial value problem." In MATHEMATICAL MODELS IN ENGINEERING, BIOLOGY AND MEDICINE: International Conference on Boundary Value Problems: Mathematical Models in Engineering, Biology and Medicine. AIP, 2009. http://dx.doi.org/10.1063/1.3142927.

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Reports on the topic "Predictor-corrector method"

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Tapia, R. A., Yin Zhang, M. Saltzman, and A. Weiser. The Mehrotra Predictor-Corrector Interior-Point Method as a Perturbed Composite Newton Method. Fort Belvoir, VA: Defense Technical Information Center, July 1993. http://dx.doi.org/10.21236/ada453102.

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