ISBN:0898716292

Author: | Randall LeVeque |

ISBN13: | 978-0898716290 |

Title: | Finite Difference Methods for Ordinary and Partial Differential Equations: Steady-State and Time-dependent Problems (Classics in Applied Mathematics) |

Format: | azw rtf mbr mobi |

ePUB size: | 1400 kb |

FB2 size: | 1720 kb |

DJVU size: | 1323 kb |

Language: | English |

Category: | Mathematics |

Publisher: | Society for Industrial and Applied Mathematics; 1 edition (July 10, 2007) |

Pages: | 184 |

The book is organized into two main sections and a set of appendices. Part I addresses steady-state boundary value problems, starting with two-point boundary value problems in one dimension, followed by coverage of elliptic problems in two and three dimensions. Part II addresses time-dependent problems, starting with the initial value problem for ODEs, moving on to initial boundary value problems for parabolic and hyperbolic PDEs, and concluding with.

I heartily recommend this text to students who want a solid grounding in the theory and practice of solving differential equations ordinary and partial. The book well repays serious study. -Peter Lax, Professor, Courant Institute of Math. This book introduces finite difference methods for both ordinary differential equations (ODEs) and partial differential equations (PDEs) and discusses the similarities and differences between algorithm design and stability analysis for different types of equations.

Partial Differential Equations with Numerical Methods (Texts in Applied Mathematics). Computer Methods for Ordinary Differential Equations and ic Equations. Numerical Solution of Boundary Value Problems for Ordinary Differential Equations (Classics in Applied Mathematics). Ordinary Differential Equations SIAM's Classics in Applied Mathematics series consists of books that were previously. Finite Difference Methods for Ordinary and Partial Differential Equations: Steady-State and Time-Dependent Problems. Ordinary and Partial Differential Equations.

ISBN13:9780898716290. Release Date:July 2007.

Author(s): Randall LeVeque.

Start by marking Finite Difference Methods for Ordinary and Partial Differential Equations: Steady-State and Time-Dependent Problems as Want to Read: Want to Read savin. ant to Read. A unified view of stability theory for ODEs and PDEs is presented, and the interplay between ODE and PDE anal This book introduces finite difference methods for both ordinary differential equations (ODEs) and partial differential equations (PDEs) and discusses the similarities and differences between algorithm design and stability analysis for different types of equations. A unified view of stability theory for ODEs and PDEs is presented, and the interplay between ODE and PDE analysis is stressed.

Finite Difference Methods for Ordinary and Partial Differential Equations. Steady-State and Time-Dependent Problems. University of Washington Seattle, Washington. 10 9 8 7 6 5 4 3 2 1. All rights reserved. Printed in the United States of America. No part of this book may be reproduced, stored, or transmitted in any manner without the written permission of the publisher. LeVeque, Randall . 1955-Finite difference methods for ordinary and partial differential equations : steady-state and time-dependent problems, Randall J. LeVeque. Includes bibliographical references and index.

Chapter 4 Iterative Methods for Sparse Linear Systems. Part II: Initial Value Problems. Chapter 5 The Initial Value Problem for ODEs. Chapter 6 Zero-Stability and Convergence for Initial Value Problems. Chapter 7 Absolute Stability for ODEs. Chapter 8 Stiff ODEs. Chapter 9 Diffusion Equations and Parabolic Problems. Chapter 10 Advection Equations and Hyperbolic Systems. Chapter 11 Mixed Equations. Part III: Appendices. Chapter 12 Measuring Errors.

Physical description.

The book offers a hollistic approach to the theory and numerics of random differential equations from an interdisciplinary and problem-centered point of view. In this interdisciplinary work, the authors examine state–of-the-art concepts of both dynamical systems and scientific computing. 50 Years with Hardy Spaces. High Performance Computing. Second Latin American Conference, CARLA 2015, Petrópolis, Brazil, August 26-28, 2015, Proceedings.

This book introduces finite difference methods for both ordinary differential equations (ODEs) and partial differential equations (PDEs) and discusses the similarities and differences between algorithm design and stability analysis for different types of equations. A unified view of stability theory for ODEs and PDEs is presented, and the interplay between ODE and PDE analysis is stressed. The text emphasizes standard classical methods, but several newer approaches also are introduced and are described in the context of simple motivating examples. Exercises and student projects are available on the book's webpage, along with Matlab mfiles for implementing methods. Readers will gain an understanding of the essential ideas that underlie the development, analysis, and practical use of finite difference methods as well as the key concepts of stability theory, their relation to one another, and their practical implications. The author provides a foundation from which students can approach more advanced topics.

Reviews: 7

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