79 citations · 263 across the 55 of their papers we have counts for
4 papers · 1 filter
Splitting schemes for hyperbolic heat conduction equation
Petr N. Vabishchevich
Rapid processes of heat transfer are not described by the standard heat conduction equation. To take into account a finite velocity of heat transfer, we use the hyperbolic model of…
SM stability for time-dependent problems
Petr N. Vabishchevich
Various classes of stable finite difference schemes can be constructed to obtain a numerical solution. It is important to select among all stable schemes such a scheme that is opti…
On a new class of additive (splitting) operator-difference schemes
Petr N. Vabishchevich
Many applied time-dependent problems are characterized by an additive representation of the problem operator. Additive schemes are constructed using such a splitting and associated…
VAGO method for the solution of elliptic second-order boundary value problems
Nikolay P. Vabishchevich, Petr N. Vabishchevich
Mathematical physics problems are often formulated using differential oprators of vector analysis - invariant operators of first order, namely, divergence, gradient and rotor opera…