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Numerical calculations for some types of boundary value problems with unbounded domains. (English) Zbl 0709.65083
Differential equations and their applications, Proc. 7th Conf., Equadiff 7, Prague/Czech. 1989, Teubner-Texte Math. 118, 236-239 (1990).
Summary: [For the entire collection see Zbl 0704.00019.]
An important but often difficult problem for the numerical analysis is the question for the accuracy of an approximate solution of an initial or boundary value problem; this question can be answered for some simple models with aid of approximation and optimization methods. It is useful for application methods to generalize the theory and the H-sets to more general classes of approximating functions, for instance of rational, algebraic and other functions.
65N35 Spectral, collocation and related methods for boundary value problems involving PDEs
35J05 Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation