Approximation of Nonlinear Evolution Systems
β Scribed by Joseph W. Jerome (Eds.)
- Publisher
- Academic Press
- Year
- 1983
- Tongue
- English
- Leaves
- 301
- Series
- Mathematics in Science and Engineering 164
- Category
- Library
No coin nor oath required. For personal study only.
β¦ Table of Contents
Content:
Edited by
Page iii
Copyright page
Page iv
Dedication
Page v
Preface
Pages xi-xii
Acknowledgments
Page xiii
List of Symbols and Definitions
Pages xv-xx
Introduction
Pages 1-8
Problem Formulations and Uniqueness for Dissipative Parabolic Models
Pages 11-44
Convergent Regularizations and Pointwise Stability of Implicit Schemes
Pages 45-75
Nonlinear Elliptic Equations and Inequalities
Pages 76-112
Numerical Optimality and the Approximate Solution of Degenerate Parabolic Equations
Pages 113-161
Existence Analysis via the Stability of Consistent Semidiscrete Approximations
Pages 162-203
Linear Evolution Operators
Pages 207-236
Quasi-Linear Equations of Evolution
Pages 237-273
Subject Index
Pages 275-280
π SIMILAR VOLUMES
<p> The monograph addresses some problems particularly with regard to ill-posedness of boundary value problems and problems where we cannot expect to have uniqueness of their solutions in the standard functional spaces. Bringing original and previous results together, it tackles computational challe
<p> The monograph addresses some problems particularly with regard to ill-posedness of boundary value problems and problems where we cannot expect to have uniqueness of their solutions in the standard functional spaces. Bringing original and previous results together, it tackles computational challe
<p>Is our world more dynamic than it used to be in the past? Have phenomena in the social science field become unpredictable? Are chaotic events nowadays occurring more frequently than in the past? Such questions are often raised in popular debates on nonlinear evolution and self-organizing systems.
<p>This book presents and extends different known methods to solve different types of strong nonlinearities encountered by engineering systems. A better knowledge of the classical methods presented in the first part lead to a better choice of the so-called βbase functionsβ. These are absolutely nece