Exponential moment bounds and strong convergence rates for tamed-truncated numerical approximations of stochastic convolutions
DOI10.1007/s11075-019-00871-yzbMath1456.65006arXiv1812.05198OpenAlexW3113093802WikidataQ115602969 ScholiaQ115602969MaRDI QIDQ827086
Arnulf Jentzen, Primož Pušnik, Felix Lindner
Publication date: 6 January 2021
Published in: Numerical Algorithms (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1812.05198
stochastic partial differential equationstochastic convolutionstrong convergence rateexponential moment boundtamed-truncated numerical approximation
PDEs with randomness, stochastic partial differential equations (35R60) Numerical solutions to stochastic differential and integral equations (65C30) Probabilistic methods, particle methods, etc. for initial value and initial-boundary value problems involving PDEs (65M75)
Cites Work
- Euler approximations with varying coefficients: the case of superlinearly growing diffusion coefficients
- The Kolmogorov-Obukhov statistical theory of turbulence
- Solving the KPZ equation
- Divergence of the multilevel Monte Carlo Euler method for nonlinear stochastic differential equations
- Strong convergence of an explicit numerical method for SDEs with nonglobally Lipschitz continuous coefficients
- A note on tamed Euler approximations
- Stochastic PDEs and lack of regularity: a surface growth equation with noise: existence, uniqueness, and blow-up
- Itô's formula in UMD Banach spaces and regularity of solutions of the Zakai equation
- Strong convergence rates for nonlinearity-truncated Euler-type approximations of stochastic Ginzburg-Landau equations
- On a perturbation theory and on strong convergence rates for stochastic ordinary and partial differential equations with nonglobally monotone coefficients
- Exponential moments for numerical approximations of stochastic partial differential equations
- Semigroup Splitting and Cubature Approximations for the Stochastic Navier–Stokes Equations
- Numerical approximations of stochastic differential equations with non-globally Lipschitz continuous coefficients
- Convergence of the Two-Dimensional Dynamic Ising-Kac Model to Φ24
- Strong and weak divergence in finite time of Euler's method for stochastic differential equations with non-globally Lipschitz continuous coefficients
- Stochastic Equations in Infinite Dimensions
- Term Structure Models Driven by Wiener Processes and Poisson Measures: Existence and Positivity
- Consistent recalibration of yield curve models
- Exponential integrability properties of numerical approximation processes for nonlinear stochastic differential equations
- The Kolmogorov-Obukhov Theory of Turbulence
- The tamed Milstein method for commutative stochastic differential equations with non-globally Lipschitz continuous coefficients
- Strong convergence rates for an explicit numerical approximation method for stochastic evolution equations with non-globally Lipschitz continuous nonlinearities
- A mild Itô formula for SPDEs
- A Fundamental Mean-Square Convergence Theorem for SDEs with Locally Lipschitz Coefficients and Its Applications
- Dynamics of evolutionary equations