Approximations to the solution of Cauchy problem for a linear evolution equation via the space shift operator (second-order equation example)

DOI10.1016/j.amc.2018.01.057zbMath1427.35094arXiv1605.03908OpenAlexW2962860429MaRDI QIDQ2001631

Ivan D. Remizov

Publication date: 10 July 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.03908

zbMATH Keywords

numerical methodCauchy problemapproximate solutionshift operatorChernoff theoremlinear parabolic PDE

Mathematics Subject Classification ID

Theoretical approximation in context of PDEs (35A35) Initial value problems for second-order parabolic equations (35K15)

Related Items (5)

Chernoff approximations of Feller semigroups in Riemannian manifolds ⋮ Speed of convergence of Chernoff approximations to solutions of evolution equations ⋮ Formulas that represent Cauchy problem solution for momentum and position Schrödinger equation ⋮ Solution-giving formula to Cauchy problem for multidimensional parabolic equation with variable coefficients ⋮ Representation of solutions of the Cauchy problem for a one-dimensional Schrödinger equation with a smooth bounded potential by quasi-Feynman formulae

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