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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.
MSC:
65N35 Spectral, collocation and related methods for boundary value problems involving PDEs
35J05 Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation