Finite Difference Methods for Partial Differential Equations: Applied Mathematics Series

Finite Difference Methods for Partial Differential Equations is a comprehensive guidebook on numerical methods for solving partial differential equations. Written by George E. Forsythe, a renowned mathematician and computer scientist, this book is part of the Applied Mathematics series and is designed for students and researchers in the field of applied mathematics and engineering.The book begins with an introduction to the basic concepts of partial differential equations and their numerical solutions. It then covers various numerical methods, including finite difference methods, finite element methods, and spectral methods. The author explains these methods in detail, providing step-by-step instructions and examples for each.The book also includes chapters on boundary value problems, initial value problems, and eigenvalue problems. Each chapter presents a variety of real-world problems and their solutions using the different numerical methods discussed in the book.The final chapter of the book is dedicated to the implementation of the numerical methods using computer programs. The author provides sample code in FORTRAN and MATLAB for readers to use and modify for their own research.Overall, Finite Difference Methods for Partial Differential Equations is an essential resource for anyone studying or working in the field of numerical methods for partial differential equations. It provides a comprehensive overview of the subject matter, with clear explanations and practical examples.This scarce antiquarian book is a facsimile reprint of the old original and may contain some imperfections such as library marks and notations. Because we believe this work is culturally important, we have made it available as part of our commitment for protecting, preserving, and promoting the world's literature in affordable, high quality, modern editions, that are true to their original work.