Numerical Approximation of Optimal Convergence for Fractional Elliptic Equations with Additive Fractional Gaussian Noise (Q5010088)

scientific article; zbMATH DE number 7384780

Language	Label	Description	Also known as
English	Numerical Approximation of Optimal Convergence for Fractional Elliptic Equations with Additive Fractional Gaussian Noise	scientific article; zbMATH DE number 7384780

Statements

instance of

scholarly article

0 references

title

Numerical Approximation of Optimal Convergence for Fractional Elliptic Equations with Additive Fractional Gaussian Noise (English)

0 references

0 references

0 references

SIAM/ASA Journal on Uncertainty Quantification

0 references

publication date

24 August 2021

0 references

zbMATH Keywords

spectral Galerkin methods

0 references

integral fractional Laplacian

0 references

fractional Gaussian noise

0 references

regularity

0 references

pink noise

0 references

ultraweak Petrov-Galerkin

0 references

describes a project that uses

cnoise

0 references

MaRDI profile type

MaRDI publication profile

0 references

cites work

A Fractional Laplace Equation: Regularity of Solutions and Finite Element Approximations

0 references

Regularity theory and high order numerical methods for the (1D)-fractional Laplacian

0 references

Q4073917

0 references

Blow-up results for space-time fractional stochastic partial differential equations

0 references

Q5675662

0 references

Direct and Inverse Approximation Theorems for the p-Version of the Finite Element Method in the Framework of Weighted Besov Spaces. Part I: Approximability of Functions in the Weighted Besov Spaces

0 references

Optimal strong convergence of finite element methods for one-dimensional stochastic elliptic equations with fractional noise

0 references

Approximating Stochastic Evolution Equations with Additive White and Rough Noises

0 references

Finite element approximations for second-order stochastic differential equation driven by fractional Brownian motion

0 references

Nonlinear stochastic time-fractional slow and fast diffusion equations on \(\mathbb{R}^d\)

0 references

A speculative study of 2∕3-order fractional Laplacian modeling of turbulence: Some thoughts and conjectures

0 references

ALTERNATIVE FREQUENCY AND TIME DOMAIN VERSIONS OF FRACTIONAL BROWNIAN MOTION

0 references

A series expansion of fractional Brownian motion

0 references

A First-Order Perturbation Analysis of Crack Trapping by Arrays of Obstacles

0 references

A fractional multivariate long memory model for the US and the Canadian real output

0 references

Q3084090

0 references

Convergence of finite element solutions of stochastic partial integro-differential equations driven by white noise

0 references

Sharp convergence rates of time discretization for stochastic time-fractional PDEs subject to additive space-time white noise

0 references

Jacobi approximations in non-uniformly Jacobi-weighted Sobolev spaces

0 references

Sharp error estimates of a spectral Galerkin method for a diffusion-reaction equation with integral fractional Laplacian on a disk

0 references

Error estimates of a spectral Petrov-Galerkin method for two-sided fractional reaction-diffusion equations

0 references

Optimal Regularity and Error Estimates of a Spectral Galerkin Method for Fractional Advection-Diffusion-Reaction Equations

0 references

Fast spectral Petrov-Galerkin method for fractional elliptic equations

0 references

A Petrov--Galerkin Finite Element Method for Fractional Convection-Diffusion Equations

0 references

Numerical approximation of stochastic time-fractional diffusion

0 references

Error estimates of finite element methods for fractional stochastic Navier-Stokes equations

0 references

Galerkin Finite Element Approximations for Stochastic Space-Time Fractional Wave Equations

0 references

Numerical approximation for fractional diffusion equation forced by a tempered fractional Gaussian noise

0 references

Fourier spectral methods for some linear stochastic space-fractional partial differential equations

0 references

Hardy inequalities for fractional integrals on general domains

0 references

Stochastic partial differential equations

0 references

Classical and generalized solutions of fractional stochastic differential equations

0 references

Space-time fractional stochastic partial differential equations with Lévy noise

0 references

Intermittence and space-time fractional stochastic partial differential equations

0 references

PINK NOISE, 1/f<sup>α</sup>NOISE, AND THEIR EFFECT ON SOLUTIONS OF DIFFERENTIAL EQUATIONS

0 references

Galerkin Finite Element Methods for Parabolic Problems

0 references

Power-Law Noises over General Spatial Domains and on Nonstandard Meshes

0 references

A Petrov-Galerkin finite element method for variable-coefficient fractional diffusion equations

0 references

Optimal error estimates for fractional stochastic partial differential equation with fractional Brownian motion

0 references

Error estimates of finite element methods for nonlinear fractional stochastic differential equations

0 references

Error estimates of spectral Galerkin methods for a linear fractional reaction-diffusion equation

0 references

Strong and weak convergence order of finite element methods for stochastic PDEs with spatial white noise

0 references

Sharp Error Bounds for Jacobi Expansions and Gegenbauer--Gauss Quadrature of Analytic Functions

0 references

full work available at URL

https://doi.org/10.1137/20m1374286

0 references

Identifiers

zbMATH Open document ID

1503.65304

0 references

DOI

10.1137/20M1374286

0 references

Mathematics Subject Classification ID

0 references

0 references

0 references

0 references

0 references

0 references

0 references

0 references

0 references

0 references

0 references

0 references

0 references

0 references

0 references

0 references

Sitelinks

Mathematics(1 entry)

mardi Publication:5010088