Space-Time Approximation with Sparse Grids

DOI10.1137/050629252zbMath1114.35082OpenAlexW2085409527MaRDI QIDQ5470442

D. Oeltz, Michael Griebel, Panayot S. Vassilevski

Publication date: 30 May 2006

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://digital.library.unt.edu/ark:/67531/metadc885182/

zbMATH Keywords

space-time discretizationmultilevel basis

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50) Complexity and performance of numerical algorithms (65Y20)

Related Items (11)

Arbitrary dimension convection-diffusion schemes for space-time discretizations ⋮ `Les fleurs du mal'. II: A dynamically adaptive wavelet method of arbitrary lines for nonlinear evolutionary problems-capturing steep moving fronts ⋮ Wavelet-In-Time Multigrid-In-Space Preconditioning of Parabolic Evolution Equations ⋮ Operator-splitting finite element algorithms for computations of high-dimensional parabolic problems ⋮ A note on the construction of \(L\)-fold sparse tensor product spaces ⋮ Exponential convergence of hp-time-stepping in space-time discretizations of parabolic PDES ⋮ An efficient numerical method on modified space-time sparse grid for time-fractional diffusion equation with nonsmooth data ⋮ Enabling local time stepping in the parallel implicit solution of reaction-diffusion equations via space-time finite elements on shallow tree meshes ⋮ A sparse grid space-time discretization scheme for parabolic problems ⋮ Tensor numerical methods for multidimensional PDES: theoretical analysis and initial applications ⋮ Quasi-optimal rank-structured approximation to multidimensional parabolic problems by Cayley transform and Chebyshev interpolation

This page was built for publication: Space-Time Approximation with Sparse Grids