SPDE bridges with observation noise and their spatial approximation
DOI10.1016/j.spa.2023.01.007OpenAlexW4316038888MaRDI QIDQ2689896
Salvador Ortiz-Latorre, Giulia Di Nunno, Andreas Petersson
Publication date: 14 March 2023
Published in: Stochastic Processes and their Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2112.11141
finite element methodstochastic partial differential equationsspectral methodstochastic reaction-diffusion equationsconditional distributions in Hilbert spaces
Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Diffusion processes (60J60) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) Computational methods for stochastic equations (aspects of stochastic analysis) (60H35)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Strong and weak approximation of semilinear stochastic evolution equations
- Duality in refined Sobolev-Malliavin spaces and weak approximation of SPDE
- The numerical approximation of stochastic partial differential equations
- Lower estimates of transition densities and bounds on exponential ergodicity for stochastic PDEs
- The Ornstein-Uhlenbeck bridge and applications to Markov semigroups
- Linear processes in function spaces. Theory and applications
- Statistical inference for SPDEs: an overview
- Weak convergence and invariant measure of a full discretization for parabolic SPDEs with non-globally Lipschitz coefficients
- Diffusivity estimation for activator-inhibitor models: theory and application to intracellular dynamics of the actin cytoskeleton
- Lower and upper bounds for strong approximation errors for numerical approximations of stochastic heat equations
- Stochastic partial differential equations
- A concise course on stochastic partial differential equations
- Guided proposals for simulating multi-dimensional diffusion bridges
- Über die Verteilung der Approximationszahlen kompakter Operatoren in Sobolev-Besov-Räumen
- Weak convergence for a spatial approximation of the nonlinear stochastic heat equation
- Analysis in Banach Spaces
- An Introduction to Computational Stochastic PDEs
- Cylindrical Wiener Processes
- $\gamma$-Radonifying operators -- a survey
- A conditioned ornstein–uhlenbeck process on a hilbert space
- Abstract Parabolic Evolution Equations and their Applications
- The Structure of Measurable Linear Functionals on Banach Spaces with Gaussian Measures
- Analysis in Banach Spaces
- Linear estimators and measurable linear transformations on a Hilbert space
- Weak convergence of fully discrete finite element approximations of semilinear hyperbolic SPDE with additive noise
- Numerical solution of fractional elliptic stochastic PDEs with spatial white noise
- Stochastic Equations in Infinite Dimensions
- Strong and Weak Convergence Rates of a Spatial Approximation for Stochastic Partial Differential Equation with One-sided Lipschitz Coefficient
- Consistency problems for Heath-Jarrow-Morton interest rate models
This page was built for publication: SPDE bridges with observation noise and their spatial approximation