Finite Difference Computing with PDEs
by Hans Petter Langtangen, Svein Linge
Publisher: Springer 2017
Number of pages: 507
This easy-to-read book introduces the basics of solving partial differential equations by means of finite difference methods. Unlike many of the traditional academic works on the topic, this book was written for practitioners.
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by P. Lascaux - Tata Institute of Fundamental Research
The solution of time dependent equations of hydrodynamics is a subject of great importance. This book is mainly concentrated on the study of the stability of the various schemes. We have considered only the stability for linearized problems.
by Jeffrey R. Chasnov - The Hong Kong University
This is primarily for non-mathematics majors and is required by several engineering departments. Contents: IEEE Arithmetic; Root Finding; Systems of equations; Least-squares approximation; Interpolation; Integration; Ordinary differential equations.
by Dennis Deturck, Herbert S. Wilf - University of Pennsylvania
Contents: Differential and Difference Equations (Linear equations with constant coefficients, Difference equations, Stability theory); The Numerical Solution of Differential Equations (Euler's method); Numerical linear algebra.
by George Benthien
Tutorial discussing some of the numerical aspects of practical harmonic analysis. Topics include Historical Background, Fourier Series and Integral Approximations, Convergence Improvement, Differentiation of Fourier Series and Sigma Factors, etc.