Numerical Analysis of Partial Differential Equations

✍ Scribed by S. Albertoni (auth.), Jacques Louis Lions (eds.)

• Publisher: Springer Berlin Heidelberg
• Year: 2011
• Leaves: 446
• Series: C.I.M.E. Summer Schools volume 44
• Category: Library

✦ Synopsis

S. Albertoni: Alcuni metodi di calcolo nella teoria della diffusione dei neutroni.- I. Babuska: Optimization and numerical stability in computations.- J.H. Bramble: Error estimates in elliptic boundary value problems.- G. Capriz: The numerical approach to hydrodynamic problems.- A. Dou: Energy inequalities in an elastic cylinder.- T. Doupont: On the existence of an iterative method for the solution of elliptic difference equation with an improved work estimate.- J. Douglas, J.R. Cannon: The approximation of harmonic and parabolic functions of half-spaces from interior data.- B.E. Hubbard: Error estimates in the fixed Membrane problem.- K. Jorgens: Calculation of the spectrum of a Schrödinger operator.- A. Lasota: Contingent equations and boundary value problems.- J.L. Lions: Réduction � des problèmes du type Cauchy-Kowalewska.- J.L. Lions: Problèmes aux limites non homogènes � données irrégulières; une méthode d’approximation.- J.L. Lions: Remarques sur l’approximation régularisée de problèmes aux limites.- W.V. Petryshyn: On the approximation-solvability of nonlinear functional equations in normed linear spaces.- P.A. Raviart: Approximation des équations d’évolution par des méthodes variationnelles.- M. Sibony, H. Brezis: Méthodes d’approximation et d’itération pour les operateurs monotones.- V. Thomee: Some topics in stability theory for partial difference operators.

✦ Table of Contents

Content:
Front Matter....Pages i-iii
Alcuni Metodi di Calcolo Nella Teoria della Diffusione dei Neutroni....Pages 2-23
Problems of Optimization and Numerical Stability in Computations....Pages 25-67
Error Estimates in Elliptic Boundary Value Problems....Pages 69-107
The Numerical Approach to Hydrodynamic Problems....Pages 109-159
Energy Inequalities in an Elastic Cylinder....Pages 161-173
On the Existence of an Iterative Method for the Solution of Elliptic Difference Equations with an Improved Work Estimate....Pages 175-192
The Approximation of Harmonic and Parabolic Functions on Half-Spaces from Interior Data....Pages 193-230
Error Estimates in the Fixed Membrane Problem....Pages 231-244
Calculation of the Spectrum of a Schrodinger Operator....Pages 245-254
Contintent Equations and Boundary Value Problems....Pages 255-266
Reduction a des Problemes du Type Cauchy-Kowaleska....Pages 267-281
Problemes aux Limites non Homogenes a Donnees Irregulieres....Pages 283-292
Remarques sur L'approximation Regularisce de Problemes aux Limites....Pages 293-306
Iterative Construction of Fixed Points of Contractive Type Mappings in Banach Spaces....Pages 307-340
On the Approximation-Solvability of Nonlinear Functional Equations in Normed Linear Spaces....Pages 341-355
Approximation des Equations d'evolution par des Methodes Variationnelles....Pages 357-406
Methodes d'approximation et d'iteration pour les Operateurs Monotones....Pages 407-439
Some Topics in Stability Theory for Partial Difference Operators....Pages 441-468