79 citations · 263 across the 55 of their papers we have counts for
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math.NA2014
Numerical solution of nonstationary problems for a space-fractional diffusion equation
Petr N. Vabishchevich
An unsteady problem is considered for a space-fractional diffusion equation in a bounded domain. A first-order evolutionary equation containing a fractional power of an elliptic op…
math.NA2014★ 69 cited
Numerical solving the boundary value problem for fractional powers of elliptic operators
Petr N. Vabishchevich
A boundary value problem for a fractional power of the second-order elliptic operator is considered. It is solved numerically using a time-dependent problem for a pseudo-parabolic…
math.NA2014★ 1 cited
Domain decomposition methods with overlapping subdomains for time-dependent problems
Petr Vabishchevich, Petr Zakharov
Domain decomposition (DD) methods for solving time-dependent problems can be classified by (i) the method of domain decomposition used, (ii) the choice of decomposition operators (…