Introduction to Numerical Methods for Time Dependent Differential Equations is popular PDF and ePub book, written by Heinz-Otto Kreiss in 2014-04-24, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Introduction to Numerical Methods for Time Dependent Differential Equations can be Read Online from any device for your convenience.
Introduction to Numerical Methods for Time Dependent Differential Equations Book PDF Summary
Introduces both the fundamentals of time dependent differential equations and their numerical solutions Introduction to Numerical Methods for Time Dependent Differential Equations delves into the underlying mathematical theory needed to solve time dependent differential equations numerically. Written as a self-contained introduction, the book is divided into two parts to emphasize both ordinary differential equations (ODEs) and partial differential equations (PDEs). Beginning with ODEs and their approximations, the authors provide a crucial presentation of fundamental notions, such as the theory of scalar equations, finite difference approximations, and the Explicit Euler method. Next, a discussion on higher order approximations, implicit methods, multistep methods, Fourier interpolation, PDEs in one space dimension as well as their related systems is provided. Introduction to Numerical Methods for Time Dependent Differential Equations features: A step-by-step discussion of the procedures needed to prove the stability of difference approximations Multiple exercises throughout with select answers, providing readers with a practical guide to understanding the approximations of differential equations A simplified approach in a one space dimension Analytical theory for difference approximations that is particularly useful to clarify procedures Introduction to Numerical Methods for Time Dependent Differential Equations is an excellent textbook for upper-undergraduate courses in applied mathematics, engineering, and physics as well as a useful reference for physical scientists, engineers, numerical analysts, and mathematical modelers who use numerical experiments to test designs or predict and investigate phenomena from many disciplines.
Detail Book of Introduction to Numerical Methods for Time Dependent Differential Equations PDF
- Author : Heinz-Otto Kreiss
- Release : 24 April 2014
- Publisher : John Wiley & Sons
- ISBN : 9781118838914
- Genre : Mathematics
- Total Page : 161 pages
- Language : English
- PDF File Size : 8,5 Mb
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