Polynomial series versus sinc expansions for functions with corner or endpoint singularities
From MaRDI portal
Publication:1085944
DOI10.1016/0021-9991(86)90031-8zbMath0608.65010OpenAlexW2015565382MaRDI QIDQ1085944
Publication date: 1986
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/2027.42/26178
corner singularityoptimal convergence rateWhittaker cardinal functionendpoint singularitiespolynomial seriesmapped orthogonal polynomialssinc expansions
Approximation by polynomials (41A10) Rate of convergence, degree of approximation (41A25) Algorithms for approximation of functions (65D15) Approximation by other special function classes (41A30)
Related Items
An analytical and numerical study of the two-dimensional Bratu equation, On the uniform convergence of the Chebyshev interpolants for solitons, The asymptotic Chebyshev coefficients for functions with logarithmic endpoint singularities: Mappings and singular basis functions, Comparisons of best approximations with Chebyshev expansions for functions with logarithmic endpoint singularities, The Crane equation \(u u_{x x} = - 2\): the general explicit solution and a case study of Chebyshev polynomial series for functions with weak endpoint singularities, A Chebyshev/rational Chebyshev spectral method for the Helmholtz equation in a sector on the surface of a sphere: defeating corner singularities, Spectral schemes on triangular elements, MIXED JACOBI-FOURIER SPECTRAL METHOD FOR FISHER EQUATION, Large-degree asymptotics and exponential asymptotics for Fourier, Chebyshev and Hermite coefficients and Fourier transforms, Orthogonal rational functions on a semi-infinite interval, Spectral methods using rational basis functions on an infinite interval, An analytic approximation to the cardinal functions of Gaussian radial basis functions on an infinite lattice, When integration sparsification fails: banded Galerkin discretizations for Hermite functions, rational Chebyshev functions and sinh-mapped Fourier functions on an infinite domain, and Chebyshev methods for solutions with \(C^\infty\) endpoint singularities
Cites Work
- Asymptotic coefficients of Hermite function series
- The optimization of convergence for Chebyshev polynomial methods in an unbounded domain
- A Sine-Collocation Method for the Computation of the Eigenvalues of the Radial Schrödinger Equation
- Numerical Methods Based on Whittaker Cardinal, or Sinc Functions
- The Evaluation and Estimation of the Coefficients in the Chebyshev Series Expansion of a Function
