A general approach to approximation theory of operator semigroups
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Publication:2317078
DOI10.1016/j.matpur.2018.08.008zbMath1440.47011arXiv1801.06749OpenAlexW2963531688MaRDI QIDQ2317078
Sylwia Kosowicz, Alexander Gomilko, Yu. V. Tomilov
Publication date: 8 August 2019
Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1801.06749
Functional calculus for linear operators (47A60) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Groups and semigroups of linear operators (47D03) Applications of functional analysis in numerical analysis (46N40) Numerical solutions to abstract evolution equations (65J08)
Related Items (6)
Fast converging Chernoff approximations to the solution of heat equation with variable coefficient of thermal conductivity ⋮ Exterior Dirichlet and Neumann problems and the linked ergodic inverse problems in the entire space ⋮ Maximal inequalities for stochastic convolutions and pathwise uniform convergence of time discretisation schemes ⋮ Nonlinear semigroups built on generating families and their Lipschitz sets ⋮ The Method of Chernoff Approximation ⋮ Rate of convergence of Chernoff approximations of operator \(C_0\)-semigroups
Cites Work
- Bernstein functions and rates in mean ergodic theorems for operator semigroups
- Rational approximations of semigroups without scaling and squaring
- Markov operators, positive semigroups and approximation processes
- Rational inversion of the Laplace transform
- Optimal error estimates in operator-norm approximations of semigroups
- A note on probabilistic representations of operator semigroups
- Probabilistic representations of operator semigroups. A unifying approach
- A functional calculus approach for the rational approximation with nonuniform partitions
- Approximation-theoretic aspects of probabilistic representations for operator semigroups
- A saturation property concerning a general probabilistic representation of operator semigroups
- Remarks on generators of analytic semigroups
- A probabilistic approach to representation formulae for semigroups of operators with rates of convergence
- A probabilistic variant of Chernoff's product formula
- A practical guide to splines
- Korovkin-type approximation theory and its applications
- Trotter--Kato product formula and fractional powers of self-adjoint generators.
- On convergence rates in approximation theory for operator semigroups
- Numerical range and quasi-sectorial contractions
- Convergence of subdiagonal Padé approximations of \(C _{0}\)-semigroups
- Another approach to asymptotic expansions for Euler's approximations of semigroups
- The functional calculus for sectorial operators
- Product formulas in functional calculi for sectorial operators
- Note on product formulas for operator semigroups
- Exponential formulae for semi-group of operators in terms of the resolvent
- The complete monotonicity of certain functions derived from completely monotone functions
- Generation of Subordinated Holomorphic Semigroups via Yosida’s Theorem
- Approximation of Semigroups and Related Operator Functions by Resolvent Series
- On the Exponential Formulas of Semi-Group Theory.
- On the Composition of Completely Monotonic Functions and Completely Monotonic Sequences and Related Questions
- On the convergence of rational approximations of semigroups on intermediate spaces
- Some general probabilistic estimations for the rate of convergence in operator semigroup representations
- High-Accuracy Stable Difference Schemes for Well-Posed Initial-Value Problems
- Product formulas and numerical algorithms
- On Rational Approximations of Semigroups
- One-Parameter Semigroups for Linear Evolution Equations
- Product formulas, nonlinear semigroups, and addition of unbounded operators
- On rates in Euler's formula for C_0-semigroups
- On Hille's First Exponential Formula
- Note on Hille's Exponential Formula
- Finite-Element Methods for a Strongly Damped Wave Equation
- Bernstein polynomials and semigroups of operators
- Bernstein functions. Theory and applications
- Operator-norm approximation of semigroups by quasi-sectorial contractions
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