Weak error expansion of a numerical scheme with rejection for singular Langevin process
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Publication:6593973
DOI10.1051/m2an/2024031zbMath1546.65006MaRDI QIDQ6593973
Publication date: 27 August 2024
Published in: European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)
Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Computational methods for stochastic equations (aspects of stochastic analysis) (60H35) Numerical solutions to stochastic differential and integral equations (65C30)
Cites Work
- Unnamed Item
- Construction, ergodicity and rate of convergence of \(N\)-particle Langevin dynamics with singular potentials
- Strong convergence of an explicit numerical method for SDEs with nonglobally Lipschitz continuous coefficients
- A hypocoercivity related ergodicity method for singularly distorted non-symmetric diffusions
- Weak backward error analysis for Langevin process
- Generalized \(\Gamma\) calculus and application to interacting particles on a graph
- Gamma calculus beyond Villani and explicit convergence estimates for Langevin dynamics with singular potentials
- On a perturbation theory and on strong convergence rates for stochastic ordinary and partial differential equations with nonglobally monotone coefficients
- High-dimensional MCMC with a standard splitting scheme for the underdamped Langevin diffusion
- Loss of regularity for Kolmogorov equations
- Ergodicity for SDEs and approximations: locally Lipschitz vector fields and degenerate noise.
- Geometric ergodicity of the bouncy particle sampler
- Convergence of the kinetic annealing for general potentials
- The computation of averages from equilibrium and nonequilibrium Langevin molecular dynamics
- Weak Backward Error Analysis for SDEs
- Strong and weak divergence in finite time of Euler's method for stochastic differential equations with non-globally Lipschitz continuous coefficients
- Hypocoercivity
- Exponential integrability properties of numerical approximation processes for nonlinear stochastic differential equations
- Langevin Dynamics With General Kinetic Energies
- Functional Analysis
- Analysis and Geometry of Markov Diffusion Operators
- Weighted L 2-contractivity of Langevin dynamics with singular potentials
- Ergodicity and Lyapunov Functions for Langevin Dynamics with Singular Potentials
- Geometric ergodicity of Langevin dynamics with Coulomb interactions
- Weak backward error analysis for overdamped Langevin processes
- Theoretical and numerical comparison of some sampling methods for molecular dynamics
- Partial differential equations and stochastic methods in molecular dynamics
- Expansion of the global error for numerical schemes solving stochastic differential equations
- Statistical mechanics: theory and molecular simulation
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