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Solving multivariable mathematical models by the quadrature and cubature methods. (English) Zbl 0810.65141
Utilization and generalization of quadrature and cubature approximations are presented for the numerical solution of mathematical models of multivariable transport processes which involve integral, differential and also integro-differential operators, and for numerical interpolation and extrapolation.
The developed methods are applied by solving two-dimensional steady-state and one-dimensional transient-state problems. The methods are compared by means of exact-analytical solutions. The quadrature and cubature approximations are simple and universal.
Reviewer: J.Kofroň (Praha)

MSC:
65R20 Numerical methods for integral equations
45K05 Integro-partial differential equations
82C70 Transport processes in time-dependent statistical mechanics
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