Speed of convergence of Chernoff approximations to solutions of evolution equations

DOI10.1134/S0001434620090151MaRDI QIDQ2210396

V. D. Galkin, A. V. Vedenin, V. S. Voevodkin, E. Yu. Karatetskaya, Ivan D. Remizov

Publication date: 6 November 2020

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.09440

zbMATH Keywords

Cauchy problemevolution equationsoperator semigroupsspeed of convergenceChernoff approximations

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Applications of operator theory in numerical analysis (47N40)

Related Items (3)

Fast converging Chernoff approximations to the solution of heat equation with variable coefficient of thermal conductivity ⋮ Chernoff approximations of Feller semigroups in Riemannian manifolds ⋮ Rate of convergence of Chernoff approximations of operator \(C_0\)-semigroups

Cites Work

• Quasi-Feynman formulas -- a method of obtaining the evolution operator for the Schrödinger equation
• Rate of convergence of Feynman approximations of semigroups generated by the oscillator Hamiltonian
• Quasi-Feynman formulas providing solutions of multidimensional Schrödinger equations with unbounded potential
• Feynman and quasi-Feynman formulas for evolution equations
• Approximations to the solution of Cauchy problem for a linear evolution equation via the space shift operator (second-order equation example)
• The Doss method for the stochastic Schrödinger-Belavkin equation
• Note on product formulas for operator semigroups
• One-Parameter Semigroups for Linear Evolution Equations

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