Format:
Online-Ressource
ISBN:
9783642110573
Series Statement:
C.I.M.E. Summer Schools 44
Content:
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: Erro
Note:
Description based upon print version of record
,
Numerical Analysis of Partial Differential Equations; Copyright Page; Contents; Alcuni Metodi di Calcolo Nella a Multigruppi Delli Diffusione Dli Neutroni; Parte.1a - Teoria stazionaria a multigruppi; Parte 2a - Teoria a multigruppi dipendente dal tempo; Bibliografia; Problems of Optimization and Numerical Stability in Computations 1); 1. Introduction; 2. The problem of quadrature formulas 1; 3. Boundary - value problems for Ordinary Differentian Equations; 4. Stability of numerical processes; References; Error Estimates in Elliptic Boundary Value Problems; Introduction
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The Numerical Approach to Hydrodynamic Problems1. Introduction; 2. Finite difference approximations for the Navier - Stokes equations; 3. Boundary conditions; 4. Numerical instability; accuracy; 5. Numerical analysis of hydrodynamic stability of steady flows; 6. Block-circulant matrices; 7. A simple analytical scheme for the study of the stability of Couette flow; 8. Some results reqarding the differential problem; 9. The non - linear problem; 10. Numerical study of the non - linear olliptic problem; 11. Notes on the numerical experiments; References
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Energy Inequalities in an Elastic Cylinder1. The principle of Saint - Venant; 2. Energy inequalities; 3. Related questions; References; On tne Existence of an Iterative Method for the Solution of Elliptic Difference Equations with an Improved Work Estimate; 1. Introduction; 2. Definition of the Problem; 3. Definition and Analysis of the Iteration; 4. Proof of Lemma 1; 5. Bound on the Discretization Error; 6. Remarks; References; The Approximation of Harmonic and Parabolic Functions on Half - Spaces from Interior Data; 1. Introduction; 2. Harmonic Functions in Two Variables
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3. Harmonic Functions in More than Two Variables4. Parabolic Functions; References; Error Estimates in The Fixed Membrane Problem; References; Calculation of The Spectrum of a Schrodinger Operator; References; Contintent Equations ans Boundary Value Probems; 1. Fixed point theorem; 2. Plis lemma; 3. Continuous boundary problems; 4. Discrete boundary problems; 5. Approximation theorem; References; Reduction a Des Problemes du Type Cauchy - Kowaleska; 1. Equations de Nevier-Stokes; Méthode de pénalisation; 2. Equations de Navier- Stokes ; méthode des dérivées artificielles
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3. Equations avec conditions d'évolution au bord : méthode des dérivées artifieiellsBibliographie; Problemes Aux Limites Non Homogenes a Donnees Irrgulieres ; une Methode D'approximation; 1. Cas elliptique; 2. Cas parabolique; Bibliographie; Remarques sur L'approximation Regularisce de Problemes aux Limites; Introduction; 1. Position du problème; 2. Sehémas variationnels régularisés; 3. Démonstration des théorèms 2.1.et 2.2; 4. Exemple; 5. Transposition; Bibliographie; Iterative Construction of Fixed Points of Contractive Type Mappings in Banach Spaces; References
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On the Approximation-Solvability of Nonlinear Functional Equations in Normed Linear Spaces
Language:
English
Subjects:
Mathematics
Keywords:
Partielle Differentialgleichung
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Numerische Mathematik
;
Electronic books
Author information:
Lions, Jacques-Louis 1928-2001
