Partial difference equations
β Scribed by Sui Sun Cheng
- Publisher
- CRC Press
- Year
- 2003
- Tongue
- English
- Leaves
- 281
- Series
- Advances in Discrete Mathematics and Applications, 3
- Edition
- 1
- Category
- Library
No coin nor oath required. For personal study only.
β¦ Synopsis
Functional relations involving functions with two or more discrete variables appeared long before the introduction of analytical concepts such as a derivative or an integral. Yet renewed interest has only picked up momentum in the last fifty years. Such an active interest is undoubtedly due to the advance of modern digital computing devices. Partial difference equations are a major class of functional relations with recursive structures so that the usual concepts of increments are important. This book describes mathematical methods that help in dealing with recurrence relations governing the behavior of variables such as population size and stock price and will be useful to anyone who has mastered the usual sophomore mathematical concepts. It offers a concise introduction to the tools and techniques that have proven successful in obtaining results in partial difference equations.
π SIMILAR VOLUMES
This book provides a unified and accessible introduction to the basic theory of finite difference schemes applied to the numerical solution of partial differential equations. Originally published in 1989, its objective remains to clearly present the basic methods necessary to perform finite differen
This is a book that approximates the solution of parabolic, first order hyperbolic and systems of partial differential equations using standard finite difference schemes (FDM). The theory and practice of FDM is discussed in detail and numerous practical examples (heat equation, convection-diffusion)
This is a book that approximates the solution of parabolic, first order hyperbolic and systems of partial differential equations using standard finite difference schemes (FDM). The theory and practice of FDM is discussed in detail and numerous practical examples (heat equation, convection-diffusion)
<p><P>The present monograph is devoted to the construction and investigation of the new high order of accuracy difference schemes of approximating the solutions of regular and singular perturbation boundary value problems for partial differential equations. The construction is based on the exact dif