Domain decomposition methods for pseudo spectral approximations. I. Second order equations in one dimension

DOI10.1007/BF01398883zbMath0637.65077MaRDI QIDQ1098582

Daniele Funaro

Publication date: 1988

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/133239

zbMATH Keywords

stabilityconvergencecollocation methoddomain decomposition methodsMultidomain pseudo spectral approximations

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Linear boundary value problems for ordinary differential equations (34B05)

Related Items (11)

Review of summation-by-parts operators with simultaneous approximation terms for the numerical solution of partial differential equations ⋮ Domain decomposition preconditioners for the spectral collocation method ⋮ Parallel algorithms for the capacitance matrix method in domain decompositions ⋮ Multidomain pseudospectral methods for nonlinear convection-diffusion equations ⋮ Computation of electromagnetic scattering with a non‐conforming discontinuous spectral element method ⋮ On the Chebyshev penalty method for parabolic and hyperbolic equations ⋮ A spectral multidomain penalty method model for the simulation of high Reynolds number localized incompressible stratified turbulence ⋮ A New Method of Imposing Boundary Conditions in Pseudospectral Approximations of Hyperbolic Equations ⋮ Some results about the pseudospectral approximation of one-dimensional fourth-order problems ⋮ An efficient method for the solution of the incompressible Navier-Stokes equations in cylindrical geometries ⋮ Stability of the Chebyshev collocation approximation to the advection- diffusion equation

Cites Work

• Unnamed Item
• Unnamed Item
• Spectral methods for problems in complex geometries
• Spectral and pseudo-spectral methods for parabolic problems with non periodic boundary conditions
• Approximation Results for Orthogonal Polynomials in Sobolev Spaces
• A multidomain spectral approximation of elliptic equations
• Error Estimates for Spectral and Pseudospectral Approximations of Hyperbolic Equations

This page was built for publication: Domain decomposition methods for pseudo spectral approximations. I. Second order equations in one dimension