A Spectral Transform Method for Singular Sturm--Liouville Problems with Applications to Energy Diffusion in Plasma Physics

DOI10.1137/130941948zbMath1325.65144arXiv1310.5074OpenAlexW2035439208MaRDI QIDQ5253649

Jon Wilkening, Antoine Cerfon

Publication date: 27 May 2015

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1310.5074

zbMATH Keywords

continuous spectrumWKB approximationTitchmarsh-Weyl \(m\)-functionspectral density functionSturm-Liouville theoryFokker-Planck collisions

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Statistical mechanics of plasmas (82D10) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99) Numerical approximation of eigenvalues and of other parts of the spectrum of ordinary differential operators (34L16) Numerical methods for ordinary differential equations (65L99) Fokker-Planck equations (35Q84)

Related Items

Accurate spectral numerical schemes for kinetic equations with energy diffusion ⋮ Computing spectral measures and spectral types ⋮ Computing Spectral Measures of Self-Adjoint Operators

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