John P. Boyd - RankMe

80 papers Journal 79

Year	Rank	Type	Title / Venue / Authors
2023	J	`jnl`	Using parity to accelerate Hermite function computations: Zeros of truncated Hermite series, Gaussian quadrature and Clenshaw summation. Math. Comput. Simul. John P. Boyd
2022	J	`jnl`	Exact solutions to a nonlinear partial differential equation: The Product-of-Curvatures Poisson (uxxuyy=1). J. Comput. Appl. Math. Xiaolong Zhang, John P. Boyd
2021	J	`jnl`	Asymptotic Coefficients and Errors for Chebyshev Polynomial Approximations with Weak Endpoint Singularities: Effects of Different Bases. CoRR Xiaolong Zhang, John P. Boyd
2020	J	`jnl`	Optimal Truncations for Multivariate Fourier and Chebyshev Series: Mysteries of the Hyperbolic Cross: Part I: Bivariate Case. J. Sci. Comput. Xiaolong Zhang, John P. Boyd
2019	J	`jnl`	Isospectral heterogeneous domains: A numerical study. J. Comput. Phys. X Paolo Amore, John P. Boyd, Natalia Tene Sandoval
2019	J	`jnl`	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∞ endpoint singularities. Math. Comput. Simul. Zhu Huang, John P. Boyd
2018	J	`jnl`	Spectral algorithms for multiple scale localized eigenfunctions in infinitely long, slightly bent quantum waveguides. Comput. Phys. Commun. John P. Boyd, Paolo Amore, Francisco M. Fernández
2017	J	`jnl`	All roots spectral methods: Constraints, floating point arithmetic and root exclusion. Appl. Math. Lett. John P. Boyd, Calin-Ioan Gheorghiu
2017	J	`jnl`	Convergent Power Series for Boundary Value Problems and Eigenproblems with Application to Atmospheric and Oceanic Tides. Am. Math. Mon. John P. Boyd, Houjun Wang
2017	J	`jnl`	New approximations to the principal real-valued branch of the Lambert W-function. Adv. Comput. Math. Roberto Iacono, John P. Boyd
2017	J	`jnl`	The Crane equation uu Appl. Math. Comput. John P. Boyd
2016	J	`jnl`	A degree-increasing [N to N+1] homotopy for Chebyshev and Fourier spectral methods. Appl. Math. Lett. John P. Boyd
2016	J	`jnl`	Bandwidth truncation for Chebyshev polynomial and ultraspherical/Chebyshev Galerkin discretizations of differential equations: Restrictions and two improvements. J. Comput. Appl. Math. Zhu Huang, John P. Boyd
2016	J	`jnl`	Correcting Three Errors in Kantorovich & Krylov's Approximate Methods of Higher Analysis. Am. Math. Mon. John P. Boyd
2016	J	`jnl`	Five themes in Chebyshev spectral methods applied to the regularized Charney eigenproblem: Extra numerical boundary conditions, a boundary-layer-resolving change of coordinate, parameterizing a curve which is singular at an endpoint, extending the tau method to log-and-polynomials and finding the roots of a polynomial-and-log approximation. Comput. Math. Appl. John P. Boyd
2016	J	`jnl`	High order eigenvalues for the Helmholtz equation in complicated non-tensor domains through Richardson extrapolation of second order finite differences. J. Comput. Phys. Paolo Amore, John P. Boyd, Francisco M. Fernández, Boris Rösler
2016	J	`jnl`	Tracing Multiple Solution Branches for Nonlinear Ordinary Differential Equations: Chebyshev and Fourier Spectral Methods and a Degree-Increasing Spectral Homotopy [DISH]. J. Sci. Comput. John P. Boyd
2015	J	`jnl`	A Fourier error analysis for radial basis functions and the Discrete Singular Convolution on an infinite uniform grid, Part 1: Error theorem and diffusion in Fourier space. Appl. Math. Comput. John P. Boyd
2015	J	`jnl`	Adaptive radial basis function and Hermite function pseudospectral methods for computing eigenvalues of the prolate spheroidal wave equation for very large bandwidth parameter. J. Comput. Phys. Zhu Huang, Jianping Xiao, John P. Boyd
2015	J	`jnl`	Approximation on non-tensor domains including squircles, Part III: Polynomial hyperinterpolation and radial basis function interpolation on Chebyshev-like grids and truncated uniform grids. J. Comput. Phys. Shan Li, John P. Boyd
2015	J	`jnl`	Chebyshev-Fourier spectral methods in bipolar coordinates. J. Comput. Phys. Zhu Huang, John P. Boyd
2015	J	`jnl`	Four ways to compute the inverse of the complete elliptic integral of the first kind. Comput. Phys. Commun. John P. Boyd
2015	J	`jnl`	Modal preconditioning of Galerkin spectral methods: Dual bookkeeping for the Delves-Freeman iteration. J. Comput. Phys. Zhu Huang, John P. Boyd
2015	J	`jnl`	RBF-vortex methods for the barotropic vorticity equation on a sphere. J. Comput. Phys. Jianping Xiao, Lei Wang, John P. Boyd
2015	J	`jnl`	Spectral methods in non-tensor geometry, Part II: Chebyshev versus Zernike polynomials, gridding strategies and spectral extension on squircle-bounded and perturbed-quadrifolium domains. Appl. Math. Comput. Shan Li, John P. Boyd
2014	J	`jnl`	Accurate calculation of the solutions to the Thomas-Fermi equations. Appl. Math. Comput. Paolo Amore, John P. Boyd, Francisco M. Fernández
2014	—	`book`	Solving Transcendental Equations - the Chebyshev Polynomial Proxy and Other Numerical Rootfinders, Perturbation Series, and Oracles. John P. Boyd
2014	J	`jnl`	Symmetrizing grids, radial basis functions, and Chebyshev and Zernike polynomials for the D4 symmetry group; Interpolation within a squircle, Part I. J. Comput. Phys. Shan Li, John P. Boyd
2014	J	`jnl`	The Fourier Transform of the quartic Gaussian exp(-Ax Appl. Math. Comput. John P. Boyd
2014	J	`jnl`	The Relationships Between Chebyshev, Legendre and Jacobi Polynomials: The Generic Superiority of Chebyshev Polynomials and Three Important Exceptions. J. Sci. Comput. John P. Boyd, Rolfe Petschek
2013	J	`jnl`	A Fourier error analysis for radial basis functions on an infinite uniform grid. Part 2: Spectral-plus is special. Appl. Math. Comput. John P. Boyd
2013	J	`jnl`	A comparison of companion matrix methods to find roots of a trigonometric polynomial. J. Comput. Phys. John P. Boyd
2013	J	`jnl`	Finding the Zeros of a Univariate Equation: Proxy Rootfinders, Chebyshev Interpolation, and the Companion Matrix. SIAM Rev. John P. Boyd
2013	J	`jnl`	Hermite function interpolation on a finite uniform grid: Defeating the Runge phenomenon and replacing radial basis functions. Appl. Math. Lett. John P. Boyd, Luis F. Alfaro
2013	J	`jnl`	Quartic Gaussian and Inverse-Quartic Gaussian radial basis functions: The importance of a nonnegative Fourier transform. Comput. Math. Appl. John P. Boyd, Philip W. McCauley
2013	J	`jnl`	Rational Chebyshev series for the Thomas-Fermi function: Endpoint singularities and spectral methods. J. Comput. Appl. Math. John P. Boyd
2013	J	`jnl`	The Nonconvergence of $$h$$ h -Refinement in Prolate Elements. J. Sci. Comput. John P. Boyd, Gregor Gassner, Burhan A. Sadiq
2012	J	`jnl`	Computing the real roots of a Fourier series-plus-linear-polynomial: A Chebyshev companion matrix approach. Appl. Math. Comput. John P. Boyd, Burhan A. Sadiq
2012	J	`jnl`	Numerical and perturbative computations of solitary waves of the Benjamin-Ono equation with higher order nonlinearity using Christov rational basis functions. J. Comput. Phys. John P. Boyd, Zhengjie Xu
2012	J	`jnl`	Numerical, perturbative and Chebyshev inversion of the incomplete elliptic integral of the second kind. Appl. Math. Comput. John P. Boyd
2012	J	`jnl`	Parity symmetry with respect to both x=0 and x=L requires periodicity with period 4L: Connections between computer graphics, group theory and spectral methods for solving partial differential equations. Appl. Math. Comput. John P. Boyd, Yang (Chris) Xiu
2011	J	`jnl`	Comparing seven spectral methods for interpolation and for solving the Poisson equation in a disk: Zernike polynomials, Logan-Shepp ridge polynomials, Chebyshev-Fourier Series, cylindrical Robert functions, Bessel-Fourier expansions, square-to-disk conformal mapping and radial basis functions. J. Comput. Phys. John P. Boyd, Fu Yu
2011	J	`jnl`	New series for the cosine lemniscate function and the polynomialization of the lemniscate integral. J. Comput. Appl. Math. John P. Boyd
2011	J	`jnl`	One-point pseudospectral collocation for the one-dimensional Bratu equation. Appl. Math. Comput. John P. Boyd
2011	J	`jnl`	The near-equivalence of five species of spectrally-accurate radial basis functions (RBFs): Asymptotic approximations to the RBF cardinal functions on a uniform, unbounded grid. J. Comput. Phys. John P. Boyd
2010	J	`jnl`	Asymptotic coefficients for Gaussian radial basis function interpolants. Appl. Math. Comput. John P. Boyd, Lei Wang
2010	J	`jnl`	Error saturation in Gaussian radial basis functions on a finite interval. J. Comput. Appl. Math. John P. Boyd
2010	J	`jnl`	Six strategies for defeating the Runge Phenomenon in Gaussian radial basis functions on a finite interval. Comput. Math. Appl. John P. Boyd
2010	J	`jnl`	The Legendre-Burgers equation: When artificial dissipation fails. Appl. Math. Comput. John P. Boyd
2010	J	`jnl`	The uselessness of the Fast Gauss Transform for summing Gaussian radial basis function series. J. Comput. Phys. John P. Boyd
2009	J	`jnl`	Acceleration of algebraically-converging Fourier series when the coefficients have series in powers of 1/n. J. Comput. Phys. John P. Boyd
2009	J	`jnl`	An analytic approximation to the cardinal functions of Gaussian radial basis functions on an infinite lattice. Appl. Math. Comput. John P. Boyd, Lei Wang
2009	J	`jnl`	Divergence (Runge Phenomenon) for least-squares polynomial approximation on an equispaced grid and Mock-Chebyshev subset interpolation. Appl. Math. Comput. John P. Boyd, Fei Xu
2009	J	`jnl`	Three ways to solve the Poisson equation on a sphere with Gaussian forcing. J. Comput. Phys. John P. Boyd, Cheng Zhou
2008	J	`jnl`	Evaluating of Dawson's Integral by solving its differential equation using orthogonal rational Chebyshev functions. Appl. Math. Comput. John P. Boyd
2008	J	`jnl`	Exploiting parity in converting to and from Bernstein polynomials and orthogonal polynomials. Appl. Math. Comput. John P. Boyd
2008	J	`jnl`	The Blasius Function: Computations Before Computers, the Value of Tricks, Undergraduate Projects, and Open Research Problems. SIAM Rev. John P. Boyd
2007	J	`jnl`	A test, based on conversion to the Bernstein polynomial basis, for an interval to be free of zeros applicable to polynomials in Chebyshev form and to transcendental functions approximated by Chebyshev series. Appl. Math. Comput. John P. Boyd
2007	J	`jnl`	Computing the zeros of a Fourier series or a Chebyshev series or general orthogonal polynomial series with parity symmetries. Comput. Math. Appl. John P. Boyd
2007	J	`jnl`	Exponentially accurate Runge-free approximation of non-periodic functions from samples on an evenly spaced grid. Appl. Math. Lett. John P. Boyd
2007	J	`jnl`	Why Newton's method is hard for travelling waves: Small denominators, KAM theory, Arnold's linear Fourier problem, non-uniqueness, constraints and erratic failure. Math. Comput. Simul. John P. Boyd
2006	J	`jnl`	A proof that the discrete singular convolution (DSC)/Lagrange-distributed approximating function (LDAF) method is inferior to high order finite differences. J. Comput. Phys. John P. Boyd
2006	J	`jnl`	Asymptotic Fourier Coefficients for a J. Sci. Comput. John P. Boyd
2006	J	`jnl`	Computing real roots of a polynomial in Chebyshev series form through subdivision with linear testing and cubic solves. Appl. Math. Comput. John P. Boyd
2006	J	`jnl`	Fourier pseudospectral method with Kepler mapping for travelling waves with discontinuous slope: Application to corner waves of the Ostrovsky-Hunter equation and equatorial Kelvin waves in the four-mode approximation. Appl. Math. Comput. John P. Boyd
2006	J	`jnl`	Rootfinding through global Newton iteration and Chebyshev polynomials for the amplitude of an electronic oscillator. Appl. Math. Comput. John P. Boyd, Robert M. Visser
2005	J	`jnl`	Algorithm 840: computation of grid points, quadrature weights and derivatives for spectral element methods using prolate spheroidal wave functions - prolate elements. ACM Trans. Math. Softw. John P. Boyd
2005	J	`jnl`	Chebyshev solution of the nearly-singular one-dimensional Helmholtz equation and related singular perturbation equations: multiple scale series and the boundary layer rule-of-thumb. Numer. Algorithms John P. Boyd
2005	J	`jnl`	Fourier embedded domain methods: extending a function defined on an irregular region to a rectangle so that the extension is spatially periodic and C Appl. Math. Comput. John P. Boyd
2005	J	`jnl`	Hyperasymptotics and the Linear Boundary Layer Problem: Why Asymptotic Series Diverge. SIAM Rev. John P. Boyd
2005	J	`jnl`	The cnoidal wave/corner wave/breaking wave scenario: A one-sided infinite-dimension bifurcation. Math. Comput. Simul. John P. Boyd
2003	J	`jnl`	Chebyshev polynomial expansions for simultaneous approximation of two branches of a function with application to the one-dimensional Bratu equation. Appl. Math. Comput. John P. Boyd
2003	J	`jnl`	Large mode number eigenvalues of the prolate spheroidal differential equation. Appl. Math. Comput. John P. Boyd
2002	J	`jnl`	Computing Zeros on a Real Interval through Chebyshev Expansion and Polynomial Rootfinding. SIAM J. Numer. Anal. John P. Boyd
2002	J	`jnl`	Shafer (Hermite-Padé) approximants for functions with exponentially small imaginary part with application to equatorial waves with critical latitude. Appl. Math. Comput. John P. Boyd, Andrei Natarov
2001	J	`jnl`	Additive blending of local approximations into a globally-valid approximation with application to the dilogarithm. Appl. Math. Lett. John P. Boyd
1999	J	`jnl`	The Blasius Function in the Complex Plane. Exp. Math. John P. Boyd
1993	J	`jnl`	Chebyshev and Legendre Spectral Methods in Algebraic Manipulation Languages. J. Symb. Comput. John P. Boyd
1990	J	`jnl`	An Introduction to the Numerical Analysis of Spectral Methods (Bertrand Mercier). SIAM Rev. John P. Boyd
1988	J	`jnl`	Chebyshev domain truncation is inferior to fourier domain truncation for solving problems on an infinite interval. J. Sci. Comput. John P. Boyd