79 citations · 263 across the 55 of their papers we have counts for
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Additive schemes (splitting schemes) for some systems of evolutionary equations
Petr N. Vabishchevich
On the basis of additive schemes (splitting schemes) we construct efficient numerical algorithms to solve approximately the initial-boundary value problems for systems of time-depe…
Iterative methods for solving the pressure problem at multiphase filtration
P. Vabishchevich, M. Vasil'eva
Applied problems of oil and gas recovery are studied numerically using the mathematical models of multiphase fluid flows in porous media. The basic model includes the continuity eq…
Substructuring domain decomposition scheme for unsteady problems
Petr N. Vabishchevich
Domain decomposition methods are used for approximate solving boundary problems for partial differential equations on parallel computing systems. Specific features of unsteady prob…
Domain decomposition schemes for the Stokes equation
Petr N. Vabishchevich
Numerical algorithms for solving problems of mathematical physics on modern parallel computers employ various domain decomposition techniques. Domain decomposition schemes are deve…
Domain decomposition schemes for evolutionary equations of first order with not self-adjoint operators
Petr N. Vabishchevich
Domain decomposition methods are essential in solving applied problems on parallel computer systems. For boundary value problems for evolutionary equations the implicit schemes are…