Computational Differential Equations / Edition 2

Computational Differential Equations / Edition 2

by K. Eriksson, D. Estep, P. Hansbo, C. Johnson
     
 

This two volume introduction to the computational solution of differential equations uses a unified approach organized around the adaptive finite element method. It presents a synthesis of mathematical modeling, analysis, and computation. See more details below

Overview

This two volume introduction to the computational solution of differential equations uses a unified approach organized around the adaptive finite element method. It presents a synthesis of mathematical modeling, analysis, and computation.

Product Details

ISBN-13:
9780521567381
Publisher:
Cambridge University Press
Publication date:
03/28/2014
Edition description:
New Edition
Pages:
538
Product dimensions:
5.98(w) x 8.98(h) x 1.10(d)

Table of Contents

Preface
1The Vision of Leibniz3
2A Brief History11
3A Review of Calculus25
4A Short Review of Linear Algebra61
5Polynomial Approximation75
6Galerkin's Method104
7Solving Linear Algebraic Systems129
8Two-Point Boundary Value Problems173
9Scalar Initial Value Problems205
10Initial Value Problems for Systems241
11Calculus of Variations275
12Computational Mathematical Modeling284
13Calculus of Several Variables293
14Piecewise Polynomials in Several Dimensions320
15The Poisson Equation343
16The Heat Equation395
17The Wave Equation422
18Stationary Convection-Diffusion Problems452
19Time Dependent Convection-Diffusion Problems476
20The Eigenvalue Problem for an Elliptic Operator497
21The Power of Abstraction510

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