Multidomain Legendre-Galerkin Chebyshev-collocation method for one-dimensional evolution equations with discontinuity

DOI10.1016/j.apnum.2016.09.010zbMath1353.65107OpenAlexW2521290655MaRDI QIDQ338543

Qiuli Ou, Yonghui Qin, He-Ping Ma

Publication date: 7 November 2016

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2016.09.010

zbMATH Keywords

numerical examplesparallel computationerror analysisparabolic equationdiscontinuityMaxwell equationlinear evolution equationsmultidomain Legendre-Galerkin Chebyshev-collocation methodtwo phase Stefan problem

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Stefan problems, phase changes, etc. (80A22) Parallel numerical computation (65Y05) Soliton equations (35Q51) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (3)

Multidomain Legendre-Galerkin Chebyshev collocation least squares method for one-dimensional problems with two nonhomogeneous jump conditions ⋮ A space-time spectral method for the 1-D Maxwell equation ⋮ Energy-conserved splitting multidomain Legendre-tau spectral method for two dimensional Maxwell's equations

Uses Software

• IIMPACK

Cites Work

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