Asymptotics on Laguerre or Hermite polynomial expansions and their applications in Gauss quadrature
From MaRDI portal
Publication:432395
DOI10.1016/j.jmaa.2012.03.056zbMath1259.65058OpenAlexW2060198886MaRDI QIDQ432395
Publication date: 4 July 2012
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2012.03.056
error boundsLaguerre polynomialasymptoticHermite polynomialGauss-Hermite quadratureGauss-type quadratureGauss-Laguerre quadraturRadau-Laguerre quadrature
Related Items
A stable fast time-stepping method for fractional integral and derivative operators ⋮ Functional-coefficient spatial autoregressive models with nonparametric spatial weights ⋮ Efficient computation of highly oscillatory integrals with Hankel kernel ⋮ Effective fractional technical for some fractional initial value problems ⋮ ENDOGENEITY IN SEMIPARAMETRIC THRESHOLD REGRESSION ⋮ Fully numerical Laplace transform methods ⋮ On optimal convergence rates of Laguerre polynomial expansions for piecewise functions ⋮ Implementing the complex integral method with the transformed Clenshaw-Curtis quadrature ⋮ Aperiodic order and spherical diffraction. III: The shadow transform and the diffraction formula ⋮ On the evaluation of the eigendecomposition of the Airy integral operator ⋮ Finite Mixture Approximation of CARMA(p,q) Models ⋮ Integration in Hermite spaces of analytic functions ⋮ Inferring the smoothness of the autocorrelation function from that of the initial state
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Error bounds for approximation in Chebyshev points
- Geometric convergence of Lagrangian interpolation and numerical integration rules over unbounded contours and intervals
- Asymptotic coefficients of Hermite function series
- A Fourier-Hermite pseudospectral method for penetrative convection
- Vlasov simulations using velocity-scaled Hermite representations
- Some error expansions for Gaussian quadrature
- Error Bounds for Gaussian Quadrature of Analytic Functions
- Spectral Methods for Time-Dependent Problems
- A Fast Algorithm for the Calculation of the Roots of Special Functions
- Approximation of Some Diffusion Evolution Equations in Unbounded Domains by Hermite Functions
- Asymptotic summation of Hermite series
- Some Eigenfunction Methods for Computing a Numerical Fourier Transform
- Spectral Methods in MATLAB
- Is Gauss Quadrature Better than Clenshaw–Curtis?
- Calculation of Gauss Quadrature Rules
- Nonlinear Effects from Vlasov's Equation
- The Evaluation and Estimation of the Coefficients in the Chebyshev Series Expansion of a Function