Hilbert–Schmidt regularity of symmetric integral operators on bounded domains with applications to SPDE approximations
DOI10.1080/07362994.2022.2053541arXiv2107.10104OpenAlexW3186886706WikidataQ114100294 ScholiaQ114100294MaRDI QIDQ6046012
Mihály Kovács, Annika Lang, Andreas Petersson
Publication date: 15 May 2023
Published in: Stochastic Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2107.10104
stochastic partial differential equationsreproducing kernel Hilbert spaceselliptic operatorsHilbert-Schmidt operatorsintegral operators
Smoothness and regularity of solutions to PDEs (35B65) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Computational methods for stochastic equations (aspects of stochastic analysis) (60H35) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- An accelerated exponential time integrator for semi-linear stochastic strongly damped wave equation with additive noise
- Strong and weak approximation of semilinear stochastic evolution equations
- Hitchhiker's guide to the fractional Sobolev spaces
- An exponential integrator scheme for time discretization of nonlinear stochastic wave equation
- The numerical approximation of stochastic partial differential equations
- Weak convergence of finite element approximations of linear stochastic evolution equations with additive noise
- Isotropic Gaussian random fields on the sphere: regularity, fast simulation and stochastic partial differential equations
- Derivative reproducing properties for kernel methods in learning theory
- The stochastic wave equation in two spatial dimensions
- Stochastic evolution equations with a spatially homogeneous Wiener process
- Regularity and convergence analysis in Sobolev and Hölder spaces for generalized Whittle-Matérn fields
- An introduction to the Hilbert-Schmidt SVD using iterated Brownian bridge kernels
- Optimal error estimates of Galerkin finite element methods for stochastic Allen-Cahn equation with additive noise
- Convergence types and rates in generic Karhunen-Loève expansions with applications to sample path properties
- Weak convergence of a fully discrete approximation of a linear stochastic evolution equation with a positive-type memory term
- Stochastic partial differential equations
- Weak convergence of finite element approximations of linear stochastic evolution equations with additive noise. II: Fully discrete schemes
- Über die Verteilung der Approximationszahlen kompakter Operatoren in Sobolev-Besov-Räumen
- Convergence rates of certain approximate solutions to Fredholm integral equations of the first kind
- An Introduction to Computational Stochastic PDEs
- Fast simulation of Gaussian random fields
- Support Vector Machines
- Abstract Parabolic Evolution Equations and their Applications
- On the discretisation in time of the stochastic Allen–Cahn equation
- Nonhomogeneous Noise and Q-Wiener Processes on Bounded Domains
- Remarks on Interpolation Properties of Schatten Classes
- A Trigonometric Method for the Linear Stochastic Wave Equation
- 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
- Theoretical Foundations of Functional Data Analysis, with an Introduction to Linear Operators
- Stochastic Partial Differential Equations with Levy Noise
- Maximum Properties and Inequalities for the Eigenvalues of Completely Continuous Operators
- Scattered Data Approximation
This page was built for publication: Hilbert–Schmidt regularity of symmetric integral operators on bounded domains with applications to SPDE approximations
