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Author: Gideon Zwas Publisher: ISBN: Category : Languages : en Pages : 30
Book Description
In this paper the Lax-Wendroff procedure is extended to the scalar case of a two-dimensional hyperbolic conservation law. Explicit third and fourth order accuracy finite-difference operators are constructed for solving quasi-linear initial value problems. Stability conditions are obtained and are used in numerical computations. The computational results which are presented demonstrate that large amounts of computing time and memory space are saved without loss of accuracy. (Author).
Author: Gideon Zwas Publisher: ISBN: Category : Languages : en Pages : 30
Book Description
In this paper the Lax-Wendroff procedure is extended to the scalar case of a two-dimensional hyperbolic conservation law. Explicit third and fourth order accuracy finite-difference operators are constructed for solving quasi-linear initial value problems. Stability conditions are obtained and are used in numerical computations. The computational results which are presented demonstrate that large amounts of computing time and memory space are saved without loss of accuracy. (Author).
Author: S. Abarbanel Publisher: ISBN: Category : Languages : en Pages : 55
Book Description
Two explicit finite difference schemes of fourth order accuracy (in space and time) are presented for the numerical solution of quasi-linear divergence free one dimensional hyperbolic systems. Both of these schemes are four step methods, one being a two level scheme, the other using three levels. These algorithms are compared in numerical examples with both second order schemes and with the DREISS-OLIGER method which is fourth order in space and second order in time. The results show that it is most advantageous to use the true fourth order schemes. (Author).
Author: Svetozar Margenov Publisher: Springer Science & Business Media ISBN: 3642004636 Category : Computers Languages : en Pages : 646
Book Description
This book constitutes the thoroughly refereed post-conference proceedings of the 4th International Conference on Numerical Analysis and Its Applications, NAA 2008, held in Lozenetz, Bulgaria in June 2008. The 61 revised full papers presented together with 13 invited papers were carefully selected during two rounds of reviewing and improvement. The papers address all current aspects of numerical analysis and discuss a wide range of problems concerning recent achievements in physics, chemistry, engineering, and economics. A special focus is given to numerical approximation and computational geometry, numerical linear algebra and numerical solution of transcendental equations, numerical methods for differential equations, numerical modeling, and high performance scientific computing.
Author: A.G. Kulikovskii Publisher: CRC Press ISBN: 1482273993 Category : Mathematics Languages : en Pages : 560
Book Description
This important new book sets forth a comprehensive description of various mathematical aspects of problems originating in numerical solution of hyperbolic systems of partial differential equations. The authors present the material in the context of the important mechanical applications of such systems, including the Euler equations of gas dynamics,
Author: Remi Abgrall Publisher: Elsevier ISBN: 0444637958 Category : Mathematics Languages : en Pages : 668
Book Description
Handbook of Numerical Methods for Hyperbolic Problems explores the changes that have taken place in the past few decades regarding literature in the design, analysis and application of various numerical algorithms for solving hyperbolic equations. This volume provides concise summaries from experts in different types of algorithms, so that readers can find a variety of algorithms under different situations and readily understand their relative advantages and limitations. - Provides detailed, cutting-edge background explanations of existing algorithms and their analysis - Ideal for readers working on the theoretical aspects of algorithm development and its numerical analysis - Presents a method of different algorithms for specific applications and the relative advantages and limitations of different algorithms for engineers or readers involved in applications - Written by leading subject experts in each field who provide breadth and depth of content coverage
Author: Elena Vázquez-Cendón Publisher: CRC Press ISBN: 020356233X Category : Mathematics Languages : en Pages : 434
Book Description
Numerical Methods for Hyperbolic Equations is a collection of 49 articles presented at the International Conference on Numerical Methods for Hyperbolic Equations: Theory and Applications (Santiago de Compostela, Spain, 4-8 July 2011). The conference was organized to honour Professor Eleuterio Toro in the month of his 65th birthday. The topics cover
Author: Thomas Y. Hou Publisher: Springer Science & Business Media ISBN: 9783540443339 Category : Mathematics Languages : en Pages : 986
Book Description
The International Conference on "Hyperbolic Problems: Theory, Numerics and Applications'' was held in CalTech on March 25-30, 2002. The conference was the ninth meeting in the bi-annual international series which became one of the highest quality and most successful conference series in Applied mathematics. This volume contains more than 90 contributions presented in this conference, including plenary presentations by A. Bressan, P. Degond, R. LeVeque, T.-P. Liu, B. Perthame, C.-W. Shu, B. Sjögreen and S. Ukai. Reflecting the objective of series, the contributions in this volume keep the traditional blend of theory, numerics and applications. The Hyp2002 meeting placed a particular emphasize on fundamental theory and numerical analysis, on multi-scale analysis, modeling and simulations, and on geophysical applications and free boundary problems arising from materials science and multi-component fluid dynamics. The volume should appeal to researchers, students and practitioners with general interest in time-dependent problems governed by hyperbolic equations.
Author: Gideon Zwas
Author: Gideon Zwas
Author: S. Abarbanel
Author: Svetozar Margenov
Author: A.G. Kulikovskii
Author: Andrea Donato
Author: Remi Abgrall
Author: Elena Vázquez-Cendón
Author: Christopher A. Kennedy
Author: Alvin Bayliss
Author: Thomas Y. Hou