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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…
math.NA2024
Computational decomposition and composition technique for approximate solution of nonstationary problems
P. N. Vabishchevich
Stable computational algorithms for the approximate solution of the Cauchy problem for nonstationary problems are based on implicit time approximations. Computational costs for bou…