Sparse spectral-tau method for the three-dimensional helically reduced wave equation on two-center domains

DOI10.1016/j.jcp.2012.07.006zbMath1284.65176arXiv1106.1632OpenAlexW2090624266MaRDI QIDQ2446727

Stephen R. Lau

Publication date: 22 April 2014

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1106.1632

zbMATH Keywords

wave equationpreconditioninggravitational wavesspectral methodshelical symmetrymixed-type problems

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (7)

Multidomain, sparse, spectral-tau method for helically symmetric flow ⋮ A review of operational matrices and spectral techniques for fractional calculus ⋮ Shifted Jacobi-Gauss-collocation with convergence analysis for fractional integro-differential equations ⋮ A new Legendre collocation method for solving a two-dimensional fractional diffusion equation ⋮ Shifted Jacobi spectral collocation method with convergence analysis for solving integro-differential equations and system of integro-differential equations ⋮ Fractional-order shifted Legendre collocation method for solving non-linear variable-order fractional Fredholm integro-differential equations ⋮ Sparse Modal Tau-Method for Helical Binary Neutron Stars

Uses Software

• SPHEREPACK
• SpEC

Cites Work

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• Coulomb and Bessel functions of complex arguments and order
• A multidomain spectral method for solving elliptic equations
• Multidomain spectral method for the helically reduced wave equation
• Spectral element modeling of semiconductor heterostructures
• Black-hole binaries, gravitational waves, and numerical relativity
• Integration Preconditioning of Pseudospectral Operators. I. Basic Linear Operators
• Pseudospectral Solution of the Two-Dimensional Navier--Stokes Equations in a Disk
• An efficient spectral method for ordinary differential equations with rational function coefficients
• Algorithm 842
• The Dirac Electron Theory

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