Numerical solution of partial differential equations - 2 : S.Y.N.S.P.A.D.E. 1970 /

Numerical Solution of Partial Differential Equations-II, Synspade 1970.

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor Corporativo: Symposium on the Numerical Solution of Partial Differential Equations University of Maryland
Otros Autores: Hubbard, Bert
Formato: Electrónico Congresos, conferencias eBook
Idioma:Inglés
Publicado: New York ; London : Academic Press, 1971.
Temas:
Differential equations, Partial > Numerical solutions > Congresses.
�Equations aux d�eriv�ees partielles > Solutions num�eriques > Congr�es.
MATHEMATICS > Calculus.
MATHEMATICS > Mathematical Analysis.
Differential equations, Partial > Numerical solutions.
Partial differential equations > Numerical solution Conference proceedings
Congress
Conference papers and proceedings.
Actes de congr�es.
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 1. Introduction2. Approximation Theory in Rn; 3. Boundary Value Problems with Natural Boundary Conditions; 4. Boundary Value Problem with Natural Boundary Conditions and Singularities on the Boundary; 5. Boundary Value Problem with Dirichlet Boundary Conditions
  • The Case of the Lipschitz Domain; 6. The Solution of the Dirichlet Problem by the Perturbed Variational Principle; 7. Computational Aspects and Numerical Experiments; REFERENCES; CHAPTER 3. ON THE NUMERICAL SOLUTION OF ELLIPTIC BOUNDARY VALUE PROBLEMS BY LEAST SQUARES APPROXIMATION OF THE DATA; 1. Introduction; 2. Preliminaries.
  • 3. Finite Dimensional Subspaces of Hk(R)4. Least Squares Methods for 2mth Order Boundary Value Problems; 5. Interface Problems
  • Equations with Discontinuous Coefficients; 6. Examples; REFERENCES; CHAPTER 4. ALTERNATING-DIRECTION GALERKIN METHODS ON RECTANGLES; 1. Introduction; 2. An Alternating-Direction Galerkin Method for the Heat Equation on a Rectangle; 3. General Parabolic Equations; 4. Hyperbolic Problems; 5. Elliptic Problems; REFERENCES; CHAPTER 5. ON THE DIFFERENCE EQUATIONS FOR METEOROLOGICAL PREDICTION; 1. Introduction; 2. The ""Empirical"" Equations of Meteorological Prediction.
  • 3. Development of a Set of Complete Difference EquationsREFERENCES; CHAPTER 6. FURTHER DEVELOPMENTS IN THE APPROXIMATION THEORY OF EIGENVALUES; 1. Eigenvalue Problems for Linear Elliptic Systems; 2 . Upper Approximation of; REFERENCES; CHAPTER 7. NUMERICAL DESIGN OF TRANSONIC AIRFOILS; 1. Introduction; 2. Transonic Controversy and the Inverse Problem; 3. The Method of Complex Characteristics; 4. Continuation Around the Sonic Locus; 5. Construction and Properties of the Airfoils; REFERENCES; CHAPTER 8. ON THE NUMERICAL TREATMENT OF PARTIAL DIFFERENTIAL EQUATIONS BY FUNCTION THEORETIC METHODS.
  • 1. Introduction2. Boundary Value Problems: Analytic Methods; 3. Boundary Value Problems: Numerical Treatment; 4 . Nonlinear Equations in Two Independent Variables: The Dirichlet Problem; 5. Nonlinear Equations in Two Independent Variables: The Cauchy Problem; REFERENCES; CHAPTER 9. A NEW DIFFERENCE SCHEME FOR PARABOLIC PROBLEMS; 1. Introduction; 2. The Box Scheme; 3. Error Estimates; 4. Richardson Extrapolation; 5. Solution of the Difference Equations; REFERENCES; CHAPTER 10. SINGULARITIES IN INTERFACE PROBLEMS; 1. Introduction; 2. A Density Theorem in Two Dimensions.

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