Multirevolution Integrators for Differential Equations with Fast Stochastic Oscillations
From MaRDI portal
Publication:5208737
DOI10.1137/19M1243075zbMath1428.60097arXiv1902.01716OpenAlexW3100232559WikidataQ126386068 ScholiaQ126386068MaRDI QIDQ5208737
Gilles Vilmart, Adrien Laurent
Publication date: 10 January 2020
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1902.01716
nonlinear Schrödinger equationgeometric integrationquadratic first integralwhite noise dispersionhighly oscillatory stochastic differential equations
NLS equations (nonlinear Schrödinger equations) (35Q55) Computational methods for stochastic equations (aspects of stochastic analysis) (60H35) Numerical solutions to stochastic differential and integral equations (65C30)
Related Items
A Uniformly Accurate Scheme for the Numerical Integration of Penalized Langevin Dynamics ⋮ Lawson schemes for highly oscillatory stochastic differential equations and conservation of invariants
Cites Work
- Unnamed Item
- Unnamed Item
- Convergence analysis of trigonometric methods for stiff second-order stochastic differential equations
- On the numerical discretisation of stochastic oscillators
- 1D quintic nonlinear Schrödinger equation with white noise dispersion
- A new approach to the construction of multirevolution methods and their implementation
- Multi-revolution composition methods for highly oscillatory differential equations
- On explicit multi-revolution Runge-Kutta schemes
- On a splitting scheme for the nonlinear Schrödinger equation in a random medium
- From quantum to classical molecular dynamics: Reduced models and numerical analysis.
- The nonlinear Schrödinger equation with white noise dispersion
- Homogenisation on homogeneous spaces
- Exponential integrators for nonlinear Schrödinger equations with white noise dispersion
- Approximate compositions of a near identity map by multi-revolution Runge-Kutta methods
- Linearized wave turbulence convergence results for three-wave systems
- Numerical analysis of the nonlinear Schrödinger equation with white noise dispersion
- Accelerated convergence to equilibrium and reduced asymptotic variance for Langevin dynamics using Stratonovich perturbations
- Weak Second Order Multirevolution Composition Methods for Highly Oscillatory Stochastic Differential Equations with Additive or Multiplicative Noise
- Order conditions for numerical integrators obtained by composing simpler integrators
- Optimal approximation of stochastic differential equations by adaptive step-size control
- Geometric Numerical Integration
- A new class of exponential integrators for SDEs with multiplicative noise