Operator Theory and Numerical Methods

Volume 30

By: H. Fujita, N. Saito, T. Suzuki

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Hardcover | 3 July 2001

At a Glance

Hardcover
318 Pages

Dimensions(cm)
22.23 x 15.24 x 1.91

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Chapter 1. Elliptic Boundary Value Problems and FEM

1.1 E lliptic Boundary Value Problems

1.2 Ritz-Galerkin Method

1.3 Finite Element Method (FEM)

1.4 Inv erse Assumption

1.5 L^oo Estimate

1.6 L^p Estimate

1.7 Asy mptotic Expansion.

Chapter 2. Semigroup Theor y and FEM

2.1 Evolutionary Problems

2.2 S emi-discretization

2.3 Fractional Powers

2.4 Full-discretization

2.5 Inhomogeneous Equation

2.6 Higher Accuracy

2.7 L^oo</ EM> Estimate

2.8 Hyperbolic Equation.

Chapter 3. Evolution Equations and FEM

3.1 Gener ation Theories

3.2 A Priori Estimates

3.3 Semi-discretization

3.4 Full-discretization

3.5 Alternative Approach.

Chapter 4. Oth er Methods in Time Discretization

4.1 Rational Approximat

Industry Reviews

Calin Ioan Gheorghiu The authors provide a very sharp theoretical study of numerical methods used to solve partial diferential equations of elliptic and parabolic type. Every numerical scheme is thoroughly dissected. As a whole, everything fits together in a harmonious way. Zentrallblatt fur Mathematik Charles W. Groetsch The book is efficiently organized and each chapter concludes with a very informative commentary section that provides brief but useful historical, bibliographical or technical comments. Mathematical Reviews

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Elliptic Boundary Value Problems and FEM
Elliptic Boundary Value Problems
Ritz-Galerkin Method
Finite Element Method (FEM)
Inverse Assumption
L oo Estimate
L p Estimate
Asymptotic Expansion
Semigroup Theory and FEM
Evolutionary Problems
Semi-discretization
Fractional Powers
Full-discretization
Inhomogeneous Equation
Higher Accuracy
L oo Estimate
Hyperbolic Equation
Evolution Equations and FEM
Generation Theories
A Priori Estimates
Semi-discretization
Full-discretization
Alternative Approach
Other Methods in Time Discretization
Rational Approximation of Semigroups
Multi-step Method
Product Formula
Other Methods in Space Discretization
Lumping of Mass
Upwind Finite Elements
Mixed Finite Elements
Boundary Element Methods (BEM)
Charge Simulation Methods (CSM)
Nonlinear Problems
Semilinear Elliptic Equations
Semilinear Parabolic Equations
Degenerate Parabolic Equations
Domain Decomposition Method
Dirichlet to Neumann (DN) Map
Dirichlet to Neumann (DN) Iteration
Dirichlet 2 to Neumann 2 (DD-NN) Iteration
Robin to Robin Iteration
Exterior Problem
The Stokes System
Bibliography
Index
Table of Contents provided by Publisher. All Rights Reserved.

Operator Theory and Numerical Methods

Volume 30

At a Glance

Hardcover

Industry Reviews

Shipping

How to return your order

Defective items

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