Improved efficiency of multilevel Monte Carlo for stochastic PDE through strong pairwise coupling
DOI10.1007/s10915-022-02031-2OpenAlexW3190602470MaRDI QIDQ2103434
Håkon Hoel, Ajay Jasra, Georgios E. Zouraris, Neil K. Chada
Publication date: 13 December 2022
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2108.00794
stochastic partial differential equationsexponential Euler methodmultilevel Monte Carlo methodweak approximations
Monte Carlo methods (65C05) Computational methods for stochastic equations (aspects of stochastic analysis) (60H35) Numerical solutions to stochastic differential and integral equations (65C30)
Cites Work
- Unnamed Item
- Unnamed Item
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- Unnamed Item
- Multi-index Monte Carlo: when sparsity meets sampling
- The exponential integrator scheme for stochastic partial differential equations: Pathwise error bounds
- Numerical analysis of semilinear stochastic evolution equations in Banach spaces
- Approximation for semilinear stochastic evolution equations
- Milstein approximation for advection-diffusion equations driven by multiplicative noncontinuous martingale noises
- Multilevel Monte Carlo method for parabolic stochastic partial differential equations
- Multilevel ensemble Kalman filtering for spatio-temporal processes
- Monte Carlo versus multilevel Monte Carlo in weak error simulations of SPDE approximations
- Assessment of multilevel ensemble-based data assimilation for reservoir history matching
- A Milstein scheme for SPDEs
- Numerical methods for stochastic partial differential equations with white noise
- Antithetic multilevel Monte Carlo estimation for multi-dimensional SDEs without Lévy area simulation
- Multilevel ensemble Kalman filtering
- Exponential integrators
- An Introduction to Computational Stochastic PDEs
- Multilevel Monte Carlo Methods
- Introduction to Uncertainty Quantification
- Multilevel Monte Carlo Path Simulation
- Efficient approximation of random fields for numerical applications
- Overcoming the order barrier in the numerical approximation of stochastic partial differential equations with additive space–time noise
- Multilevel Particle Filters
- Stochastic Finite Differences and Multilevel Monte Carlo for a Class of SPDEs in Finance
- Multilevel Monte Carlo method with applications to stochastic partial differential equations
- Finite Element Error Analysis of Elliptic PDEs with Random Coefficients and Its Application to Multilevel Monte Carlo Methods
- Stochastic exponential integrators for the finite element discretization of SPDEs for multiplicative and additive noise
- A MULTI-INDEX MARKOV CHAIN MONTE CARLO METHOD
- MULTI-INDEX SEQUENTIAL MONTE CARLO METHODS FOR PARTIALLY OBSERVED STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS
- Multilevel Ensemble Kalman–Bucy Filters
- Multilevel Markov Chain Monte Carlo
- Improving multilevel Monte Carlo for stochastic differential equations with application to the Langevin equation
- Multilevel Monte Carlo Methods for Stochastic Elliptic Multiscale PDEs
- A new class of exponential integrators for SDEs with multiplicative noise
- The Mathematics of Medical Imaging
- Stochastic Equations in Infinite Dimensions
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