Sum-accelerated pseudospectral methods: The Euler-accelerated sinc algorithm

DOI10.1016/0168-9274(91)90065-8zbMath0726.65019OpenAlexW2028158848MaRDI QIDQ804219

John P. Boyd

Publication date: 1991

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

Full work available at URL: http://hdl.handle.net/2027.42/29397

zbMATH Keywords

Euler summationsinc algorithmsinc basissum-accelerated pseudospectral methods

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Numerical differentiation (65D25) Euler-Maclaurin formula in numerical analysis (65B15)

Related Items

Euler summability method of sequences of fuzzy numbers and a Tauberian theorem, A Fourier error analysis for radial basis functions on an infinite uniform grid. II: Spectral-plus is special, Sum-accelerated pseudospectral methods: Finite differences and sech-weighted differences, A lag-average generalization of Euler's method for accelerating series, Augmented Lagrangian formulation of orbital-free density functional theory, A fast algorithm for Chebyshev, Fourier, and sinc interpolation onto an irregular grid, A proof that the discrete singular convolution (DSC)/Lagrange-distributed approximating function (LDAF) method is inferior to high order finite differences, Acceleration of algebraically-converging Fourier series when the coefficients have series in powers of \(1/n\), An asymptotically hierarchy-consistent, iterative sequence transformation for convergence acceleration of Fourier series, On the Convergence of the Quasi-Periodic Approximations on a Finite Interval, A new compact spectral scheme for turbulence simulations

Cites Work

• Sequence transformations and their applications
• Spectral methods for problems in complex geometries
• A Sine-Collocation Method for the Computation of the Eigenvalues of the Radial Schrödinger Equation
• Numerical Methods Based on Whittaker Cardinal, or Sinc Functions
• Acceleration of Linear and Logarithmic Convergence
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