A note on the spectral collocation approximation of some differential equations with singular source terms

DOI10.1007/S10915-008-9249-XzbMath1203.65266OpenAlexW1965860503MaRDI QIDQ618329

Jae-Hun Jung

Publication date: 16 January 2011

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-008-9249-x

zbMATH Keywords

Gibbs phenomenonspectral collocation methodDirac \(\delta \)-functiondifferential equations with singular sources

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35)

Related Items (9)

Schwartz duality of the Dirac delta function for the Chebyshev collocation approximation to the fractional advection equation ⋮ Coupled groundwater flow and contaminant transport simulation in a confined aquifer using meshfree radial point collocation method (RPCM) ⋮ Simulation of reactive transport in porous media using radial point collocation method ⋮ Accelerated convergence for Schrödinger equations with non-smooth potentials ⋮ Enriched spectral method for stiff convection-dominated equations ⋮ A MULTI-DOMAIN HYBRID METHOD FOR HEAD-ON COLLISION OF BLACK HOLES IN PARTICLE LIMIT ⋮ Spectral collocation and radial basis function methods for one-dimensional interface problems ⋮ Particle-without-particle: a practical pseudospectral collocation method for linear partial differential equations with distributional sources ⋮ A SPECTRAL COLLOCATION APPROXIMATION FOR THE RADIAL-INFALL OF A COMPACT OBJECT INTO A SCHWARZSCHILD BLACK HOLE

Uses Software

• Matlab

Cites Work

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