Uniform error estimate of an asymptotic preserving scheme for the Lévy-Fokker-Planck equation
DOI10.1090/mcom/3975MaRDI QIDQ6657187
Publication date: 6 January 2025
Published in: Mathematics of Computation (Search for Journal in Brave)
Fourier transformLévy-Fokker-Planck equationChebyshev-polynomial-based pseudo-spectral methodFourier-based spectral method
Asymptotic behavior of solutions to PDEs (35B40) Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Fractional derivatives and integrals (26A33) Best approximation, Chebyshev systems (41A50) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Numerical methods for discrete and fast Fourier transforms (65T50) 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) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Fractional partial differential equations (35R11) Fokker-Planck equations (35Q84)
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