Finite Difference Methods for Differential Equations by Randall J. LeVeque
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About this book :-
This book discusses on finite difference methods for ordinary differential equations (ODEs) and partial differential equations (PDEs). This text discusses about 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 discuss not only standard classical methods, but several newer approaches also are introduced and are described in the context of simple motivating examples. You 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.
Book Detail :-
This book has following details information.
Title:
Finite Difference Methods for Differential Equations by Randall J. LeVeque by NA
Publisher:
University of Washington
Series:
FreeCompBooks
Year:
1998
Pages:
230
Type:
PDF
Language:
English
ISBN-10 #:
0898716292
ISBN-13 #:
978-0898716290
Country:
Pakistan
License:
N\A
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About Author :-
The author NA
NA
Book Contents :-
conver the following topics.
Boundary Value Problems and Iterative Methods - Finite Difference Approximations - Steady States and Boundary Value Problems - Elliptic Equations - Iterative Methods for Sparse Linear Systems - Initial Value Problems - The Initial Value Problem for Ordinary Differential Equations - Zero-Stability and Convergence for Initial Value Problems - Absolute Stability for Ordinary Differential Equations - Stiff Ordinary Differential Equations - Diffusion Equations and Parabolic Problems - Advection Equations and Hyperbolic Systems - Mixed Equations - Measuring Errors - Polynomial Interpolation and Orthogonal Polynomials - Eigenvalues and Inner-Product Norms - Matrix Powers and Exponentials - Partial Differential Equations
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