3 papers
math.NA2026
Splitting schemes for problems with memory
Petr N. Vabishchevich
The paper considers the Cauchy problem for a first-order integro-differential equation with memory in a finite-dimensional Hilbert space. The main computational difficulty of such…
math.NA2024
Operator-difference approximations on two-dimensional merged Voronoi-Delaunay grids
Petr N. Vabishchevich
Formulating boundary value problems for multidimensional partial derivative equations in terms of invariant operators of vector (tensor) analysis is convenient. Computational algor…
math.NA2024
Decoupling technology for systems of evolutionary equations
Petr N. Vabishchevich
Numerical methods of approximate solution of the Cauchy problem for coupled systems of evolution equations are considered. Separating simpler subproblems for individual components…