Error bounds for Trotter-type formulas for self-adjoint operators
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Publication:1326937
DOI10.1007/BF01087542zbMath0814.47050MaRDI QIDQ1326937
Publication date: 13 July 1994
Published in: Functional Analysis and its Applications (Search for Journal in Brave)
One-parameter semigroups and linear evolution equations (47D06) Linear symmetric and selfadjoint operators (unbounded) (47B25)
Related Items (18)
Estimate of the difference between the Kac operator and the Schrödinger semigroup ⋮ The fourth order accuracy decomposition scheme for an evolution problem ⋮ Error estimate in operator norm for Trotter-Kato product formula ⋮ Fractional powers of self-adjoint operators and Trotter-Kato product formula ⋮ On the spectral analysis of quantum field Hamiltonians ⋮ Trotter–Kato product formula in symmetric F-normed ideals ⋮ Operator-norm Trotter product formula on Banach spaces ⋮ Trotter--Kato product formula and fractional powers of self-adjoint generators. ⋮ Operator-norm approximation of semigroups by quasi-sectorial contractions ⋮ The norm estimate of the difference between the Kac operator and the Schrödinger semigroup: A unified approach to the nonrelativistic and relativistic cases ⋮ Accretive perturbations and error estimates for the Trotter product formula ⋮ Approximation of the semigroup generated by the Hamiltonian of Reggeon field theory in Bargmann space ⋮ Sharp Error Bound on Norm Convergence of Exponential Product Formula and Approximation to Kernels of Schrödinger Semigroups ⋮ High degree precision decomposition method for the evolution problem with an operator under a split form ⋮ Exponential product approximation to the integral kernel of the Schrödinger semigroup and to the heat kernel of the Dirichlet Laplacian ⋮ Numerical analysis view on the general Trotter–Kato product formulae ⋮ Approximation of operator semigroups using linear-fractional operator functions and weighted averages ⋮ On the norm convergence of the self-adjoint Trotter-Kato product formula with error bound
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