Asymptotic coefficients of hermite function series

John P. Boyd

Type: Article

Publication Date: 1984-06-01

Citations: 92

DOI: https://doi.org/10.1016/0021-9991(84)90124-4

View Publication

Download PDF

Locations

Journal of Computational Physics - View
Deep Blue (University of Michigan) - View - PDF

Similar Works

Action	Title	Year	Authors
+	Asymptotic summation of Hermite series	1992	P. R. Holvorcem
+ PDF Chat	The Rate of Convergence of Hermite Function Series	1980	John P. Boyd
+ PDF Chat	Using parity to accelerate Hermite function computations: Zeros of truncated Hermite series, Gaussian quadrature and Clenshaw summation	2023	John P. Boyd
+ PDF Chat	Scaling Optimized Hermite Approximation Methods	2024	Hao Hu Haijun Yu
+ PDF Chat	A General Expression for Hermite Expansions with Applications	2023	Tom P. Davis
+	Discrete Sparse Fourier Hermite Approximations in High Dimensions	2012	Ashley Prater
+ PDF Chat	Hermite series as boundary values	1976	G.G. Walter
+	A fast algorithm for evaluation of normalized Hermite functions	2009	Benjamin F. Bunck
+	Convergence analysis of Hermite approximations for analytic functions	2023	Haiyong Wang Lun Zhang
+ PDF Chat	The asymptotic Chebyshev coefficients for functions with logarithmic endpoint singularities: mappings and singular basis functions	1989	John P. Boyd
+	The Hermite function expansions of the Heaviside function	2015	Toshinao Kagawa
+ PDF Chat	THE ROLE OF HERMITE POLYNOMIALS IN ASYMPTOTIC ANALYSIS	2000	Nico Μ. Τemme José L. López
+	Numerical evaluation of Hermite polynomials and their integrals	1971	Y. Gur
+ PDF Chat	Construction and implementation of asymptotic expansions for Jacobi–type orthogonal polynomials	2015	Alfredo Deaño Daan Huybrechs Peter Opsomer
+	Laurent-Hermite-Gauss Quadrature	1999	Brian A. Hagler
+	Asymptotics of Hermite-Padé approximants for two functions with branch points	2008	Alexander Ivanovich Aptekarev
+ PDF Chat	An algorithm for the numerical evaluation of the associated Legendre functions that runs in time independent of degree and order	2018	James Bremer
+	Global asymptotics of Hermite polynomials via Riemann-Hilbert approach	2007	R. Wong LiXian ZHANG
+ PDF Chat	Asymptotic Computation of Classical Orthogonal Polynomials	2021	Amparo Gil Javier Segura Nico Μ. Τemme
+	On the Computation of the Landmark Generating Function of the Hermite Polynomials	2023	Ilir F. Progri

Works That Cite This (71)

Action	Title	Year	Authors
+ PDF Chat	Spectral viscosity method with generalized Hermite functions for nonlinear conservation laws	2017	Xue Luo
+	Closed-Form Expressions for Time-Frequency Operations Involving Hermite Functions	2015	C. Willem Korevaar Mark S. Oude Alink Pieter-Tjerk de Boer André B.J. Kokkeler Gerard J.M. Smit
+	Hermite expansion and estimation of monotonic transformations of Gaussian data	2016	Ryan Janicki Tucker McElroy
+ PDF Chat	Spectral Methods for Multiscale Stochastic Differential Equations	2017	Assyr Abdulle Grigorios A. Pavliotis Urbain Vaes
+ PDF Chat	An Estimate of the Root Mean Square Error Incurred When Approximating an f ∈ L2(ℝ) by a Partial Sum of Its Hermite Series	2018	Mei Ling Huang Ron Kerman Susanna Spektor
+ PDF Chat	Polynomial series versus sinc expansions for functions with corner or endpoint singularities	1986	John P. Boyd
+	Hermite expansions of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msub><mml:mrow><mml:mi>C</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msub></mml:math>-groups and cosine functions	2015	Luciano Abadías Pedro J. Miana
+ PDF Chat	Asymptotic upper bounds for the coefficients in the Chebyshev series expansion for a general order integral of a function	1998	Natasha Flyer
+	Generalized Hermite spectral method matching asymptotic behaviors	2013	Chao Zhang Ben‐yu Guo
+	A Hermite spectral method for the computation of homoclinic orbits and associated functionals	2006	Valeriy R. Korostyshevskiy Thomas Wanner

Works Cited by This (9)

Action	Title	Year	Authors
+	Numerical analysis of spectral methods	1977	David Gottlieb Steven A. Orszag
+	Numerical Analysis of Spectral Methods	1977	David Gottlieb Steven A. Orszag
+ PDF Chat	A Chebyshev polynomial method for computing analytic solutions to eigenvalue problems with application to the anharmonic oscillator	1978	John P. Boyd
+	On the Uniform Convergence of Generalized Fourier Series	1978	M. Bain
+	The optimization of convergence for chebyshev polynomial methods in an unbounded domain	1982	John P. Boyd
+	Contributions to the theory of Hermitian series	1939	Einar Hille
+ PDF Chat	The rate of convergence of Hermite function series	1980	John P. Boyd
+	A class of differential operators of infinite order, I	1940	Einar Hille
+	Handbook of Mathematical Functions	1966	Donald A. McQuarrie