Book (Practical) Mathematics Computational Mathematics of Partial Differential Equations / Nobukazu Saito

Product description ※Please note that product information is not in full comprehensive meaning because of the machine translation.

Mathematics
Explains the numerical calculation methods of partial differential equations and their mathematical properties
This book aims to explain the introductory contents of the numerical analysis of partial differential equations and to lead beginners to experts. It aims to conduct in-depth research on the mathematical properties of specific mathematical models by applying numerical methods that are actually applied without going too much into generalization or abstraction. It also explains in detail the discrete maximum value principle, stabilization method, upwind method, and other matters that have not been discussed in detail in the Japanese books until now. Through this book, we have taken care to become an introduction to applied function analysis.
Appendix A summarizes the basic matters of function analysis used in this book, and Appendices B and C explain the finite difference method for nonlinear equations and MATLAB programming for finite element method. At the end of each chapter, the problems and research subjects are added, and at the end of each chapter, a summary of the problems is published.
It discusses many equations such as heat equation, wave equation, Cahn-Hilliard equation, Schroedinger equation, Poisson equation, Stokes equation, advection-diffusion equation, etc., and is different from past Japanese books.
(Text 2 color printing)