A new class of highly accurate differentiation schemes based on the prolate spheroidal wave functions
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Publication:442520
DOI10.1016/j.acha.2011.11.005zbMath1247.65029OpenAlexW2048930112MaRDI QIDQ442520
Wai Yip Kong, Vladimir Rokhlin
Publication date: 1 August 2012
Published in: Applied and Computational Harmonic Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.acha.2011.11.005
wave equationnumerical exampleseigenvaluesnumerical differentiationChebyshev collocation methodprolate spheroidal wave functionsbandlimited functionsBessel's equation
Wave equation (35L05) Computation of special functions and constants, construction of tables (65D20) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Numerical differentiation (65D25) Lamé, Mathieu, and spheroidal wave functions (33E10) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15)
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Uses Software
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