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Numerical Solution of Partial Differential Equations—II: Synspade 1970 provides information pertinent to the fundamental aspects of partial differential equations. This book covers a variety of topics that range from mathematical numerical analysis to numerical methods applied to problems in mechanics, meteorology, and fluid dynamics. Organized into 18 chapters, this book begins with an overview of the methods of the Rayleigh–Ritz–Galerkin type for the approximation of boundary value problems using spline basis functions and Sobolev spaces. This text then analyzes a special approach aimed at solving elliptical equations. Other chapters consider the approximation theoretic study of special sets of approximating functions. This book discusses as well combining the alternating-direction methods with Galerkin methods to obtain highly efficient procedures for the numerical solution of second order parabolic and hyperbolic problems. The final chapter deals with the results concerning Chebyshev rational approximations of reciprocals of certain entire functions. This book is a valuable resource for mathematicians.
Some Aspects of the Method of the Hypercircle Applied to Elliptic Variational Problems
The Finite Element Method for Elliptic Differential Equations
On the Numerical Solution of Elliptic Boundary Value Problems by Least Squares Approximation of the Data
Alternating-Direction Galerkin Methods on Rectangles
On the Difference Equations for Meteorological Prediction
Further Developments in the Approximation Theory of Eigenvalues
Numerical Design of Transonic Airfoils
On the Numerical Treatment of Partial Differential Equations by Function Theoretic Methods
A New Difference Scheme for Parabolic Problems
Singularities in Interface Problems
Initial Boundary Value Problems for Partial Differential and Difference Equations in one Space Dimension
Numerical Solution of Conditionally Properly Posed Problems
On General Purpose Programs for Finite Element Analysis, with Special Reference to Geometric and Material Nonlinearities
On the Theory of the SpHtting-Up Method
On Classes of n-Dimensional Nonlinear Mappings Generalizing Several Types of Matrices
The Finite Element Method and Approximation Theory
On the Rate of Convergence of Difference Schemes for Hyperbolic Equations
Some Results in Approximation Theory with Applications to Numerical Analysis
- No. of pages:
- © Academic Press 1971
- 28th January 1971
- Academic Press
- eBook ISBN:
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