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Numerical Analysis of Partial Differential Equations

Lectures given at a Summer School of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Ispra (Varese), Italy, July 3-11, 1967

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  • © 2010

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Editors:
  1. Jacques Louis Lions
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Part of the book series: C.I.M.E. Summer Schools (CIME, volume 44)

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Table of contents (18 chapters)

  1. Front Matter

    Pages i-iii
    Download chapter PDF

  2. Alcuni Metodi di Calcolo Nella Teoria della Diffusione dei Neutroni

    • S. Albertoni
    Pages 2-23

  3. Problems of Optimization and Numerical Stability in Computations

    • I. BabuŠKa
    Pages 25-67

  4. Error Estimates in Elliptic Boundary Value Problems

    • J. H. Bramble
    Pages 69-107

  5. The Numerical Approach to Hydrodynamic Problems

    • G. Capriz
    Pages 109-159

  6. Energy Inequalities in an Elastic Cylinder

    • A. Dou
    Pages 161-173

  7. On the Existence of an Iterative Method for the Solution of Elliptic Difference Equations with an Improved Work Estimate

    • Todd Dupont
    Pages 175-192

  8. The Approximation of Harmonic and Parabolic Functions on Half-Spaces from Interior Data

    • J. R. Cannon, Jim Douglas Jr.
    Pages 193-230

  9. Error Estimates in the Fixed Membrane Problem

    • B. E. Hubbard
    Pages 231-244

  10. Calculation of the Spectrum of a Schrodinger Operator

    • K. Jorgens
    Pages 245-254

  11. Contintent Equations and Boundary Value Problems

    • A. Lasota
    Pages 255-266

  12. Reduction a des Problemes du Type Cauchy-Kowaleska

    • J L Lions
    Pages 267-281

  13. Problemes aux Limites non Homogenes a Donnees Irregulieres

    • J. L. Lions
    Pages 283-292

  14. Remarques sur L'approximation Regularisce de Problemes aux Limites

    • J. P. Aubin, J. L. Lions
    Pages 293-306

  15. Iterative Construction of Fixed Points of Contractive Type Mappings in Banach Spaces

    • W. V. Petryshyn
    Pages 307-340

  16. On the Approximation-Solvability of Nonlinear Functional Equations in Normed Linear Spaces

    • W. V. Petryshyn
    Pages 341-355

  17. Approximation des Equations d'evolution par des Methodes Variationnelles

    • P. A. Raviart
    Pages 357-406

  18. Methodes d'approximation et d'iteration pour les Operateurs Monotones

    • H. Brezis, M. Sibony
    Pages 407-439

  19. Some Topics in Stability Theory for Partial Difference Operators

    • V. Thomee
    Pages 441-468
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Keywords

About this book

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 à des problèmes du type Cauchy-Kowalewska.- J.L. Lions: Problèmes aux limites non homogènes à 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.

Bibliographic Information

  • Book Title: Numerical Analysis of Partial Differential Equations

  • Book Subtitle: Lectures given at a Summer School of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Ispra (Varese), Italy, July 3-11, 1967

  • Editors: Jacques Louis Lions

  • Series Title: C.I.M.E. Summer Schools

  • DOI: https://doi.org/10.1007/978-3-642-11057-3

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer-Verlag Berlin Heidelberg 2010

  • Softcover ISBN: 978-3-642-11056-6Published: 30 November 2010

  • eBook ISBN: 978-3-642-11057-3Published: 07 June 2011

  • Edition Number: 1

  • Number of Pages: III, 468

  • Topics: Partial Differential Equations, Numerical Analysis

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