John P. Boyd
According to our database^{1},
John P. Boyd
authored at least 75 papers
between 1988 and 2020.
Collaborative distances:
Collaborative distances:
Timeline
Legend:
Book In proceedings Article PhD thesis OtherLinks
Homepages:

at zbmath.org

at orcid.org
On csauthors.net:
Bibliography
2020
Optimal Truncations for Multivariate Fourier and Chebyshev Series: Mysteries of the Hyperbolic Cross: Part I: Bivariate Case.
J. Sci. Comput., 2020
2019
When integration sparsification fails: Banded Galerkin discretizations for Hermite functions, rational Chebyshev functions and sinhmapped Fourier functions on an infinite domain, and Chebyshev methods for solutions with C∞ endpoint singularities.
Math. Comput. Simul., 2019
Isospectral heterogeneous domains: A numerical study.
J. Comput. Phys. X, 2019
2018
Spectral algorithms for multiple scale localized eigenfunctions in infinitely long, slightly bent quantum waveguides.
Comput. Phys. Commun., 2018
2017
All roots spectral methods: Constraints, floating point arithmetic and root exclusion.
Appl. Math. Lett., 2017
The Crane equation uu_{xx}=2: The general explicit solution and a case study of Chebyshev polynomial series for functions with weak endpoint singularities.
Appl. Math. Comput., 2017
New approximations to the principal realvalued branch of the Lambert Wfunction.
Adv. Comput. Math., 2017
2016
Tracing Multiple Solution Branches for Nonlinear Ordinary Differential Equations: Chebyshev and Fourier Spectral Methods and a DegreeIncreasing Spectral Homotopy [DISH].
J. Sci. Comput., 2016
High order eigenvalues for the Helmholtz equation in complicated nontensor domains through Richardson extrapolation of second order finite differences.
J. Comput. Phys., 2016
Bandwidth truncation for Chebyshev polynomial and ultraspherical/Chebyshev Galerkin discretizations of differential equations: Restrictions and two improvements.
J. Comput. Appl. Math., 2016
Five themes in Chebyshev spectral methods applied to the regularized Charney eigenproblem: Extra numerical boundary conditions, a boundarylayerresolving change of coordinate, parameterizing a curve which is singular at an endpoint, extending the tau method to logandpolynomials and finding the roots of a polynomialandlog approximation.
Comput. Math. Appl., 2016
A degreeincreasing [N to N+1] homotopy for Chebyshev and Fourier spectral methods.
Appl. Math. Lett., 2016
2015
RBFvortex methods for the barotropic vorticity equation on a sphere.
J. Comput. Phys., 2015
Approximation on nontensor domains including squircles, Part III: Polynomial hyperinterpolation and radial basis function interpolation on Chebyshevlike grids and truncated uniform grids.
J. Comput. Phys., 2015
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., 2015
Modal preconditioning of Galerkin spectral methods: Dual bookkeeping for the DelvesFreeman iteration.
J. Comput. Phys., 2015
ChebyshevFourier spectral methods in bipolar coordinates.
J. Comput. Phys., 2015
Four ways to compute the inverse of the complete elliptic integral of the first kind.
Comput. Phys. Commun., 2015
Spectral methods in nontensor geometry, Part II: Chebyshev versus Zernike polynomials, gridding strategies and spectral extension on squirclebounded and perturbedquadrifolium domains.
Appl. Math. Comput., 2015
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., 2015
2014
The Relationships Between Chebyshev, Legendre and Jacobi Polynomials: The Generic Superiority of Chebyshev Polynomials and Three Important Exceptions.
J. Sci. Comput., 2014
Symmetrizing grids, radial basis functions, and Chebyshev and Zernike polynomials for the D4 symmetry group; Interpolation within a squircle, Part I.
J. Comput. Phys., 2014
The Fourier Transform of the quartic Gaussian exp(Ax^{4}): Hypergeometric functions, power series, steepest descent asymptotics and hyperasymptotics and extensions to exp(Ax^{2n}).
Appl. Math. Comput., 2014
Accurate calculation of the solutions to the ThomasFermi equations.
Appl. Math. Comput., 2014
Solving Transcendental Equations  the Chebyshev Polynomial Proxy and Other Numerical Rootfinders, Perturbation Series, and Oracles.
SIAM, ISBN: 9781611973518, 2014
2013
Finding the Zeros of a Univariate Equation: Proxy Rootfinders, Chebyshev Interpolation, and the Companion Matrix.
SIAM Review, 2013
The Nonconvergence of $$h$$ h Refinement in Prolate Elements.
J. Sci. Comput., 2013
A comparison of companion matrix methods to find roots of a trigonometric polynomial.
J. Comput. Phys., 2013
Rational Chebyshev series for the ThomasFermi function: Endpoint singularities and spectral methods.
J. Comput. Appl. Math., 2013
Quartic Gaussian and InverseQuartic Gaussian radial basis functions: The importance of a nonnegative Fourier transform.
Comput. Math. Appl., 2013
Hermite function interpolation on a finite uniform grid: Defeating the Runge phenomenon and replacing radial basis functions.
Appl. Math. Lett., 2013
A Fourier error analysis for radial basis functions on an infinite uniform grid. Part 2: Spectralplus is special.
Appl. Math. Comput., 2013
2012
Numerical and perturbative computations of solitary waves of the BenjaminOno equation with higher order nonlinearity using Christov rational basis functions.
J. Comput. Phys., 2012
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., 2012
Computing the real roots of a Fourier seriespluslinearpolynomial: A Chebyshev companion matrix approach.
Appl. Math. Comput., 2012
Numerical, perturbative and Chebyshev inversion of the incomplete elliptic integral of the second kind.
Appl. Math. Comput., 2012
2011
Comparing seven spectral methods for interpolation and for solving the Poisson equation in a disk: Zernike polynomials, LoganShepp ridge polynomials, ChebyshevFourier Series, cylindrical Robert functions, BesselFourier expansions, squaretodisk conformal mapping and radial basis functions.
J. Comput. Phys., 2011
The nearequivalence of five species of spectrallyaccurate radial basis functions (RBFs): Asymptotic approximations to the RBF cardinal functions on a uniform, unbounded grid.
J. Comput. Phys., 2011
New series for the cosine lemniscate function and the polynomialization of the lemniscate integral.
J. Comput. Appl. Math., 2011
Onepoint pseudospectral collocation for the onedimensional Bratu equation.
Appl. Math. Comput., 2011
2010
The uselessness of the Fast Gauss Transform for summing Gaussian radial basis function series.
J. Comput. Phys., 2010
Error saturation in Gaussian radial basis functions on a finite interval.
J. Comput. Appl. Math., 2010
Six strategies for defeating the Runge Phenomenon in Gaussian radial basis functions on a finite interval.
Comput. Math. Appl., 2010
Asymptotic coefficients for Gaussian radial basis function interpolants.
Appl. Math. Comput., 2010
The LegendreBurgers equation: When artificial dissipation fails.
Appl. Math. Comput., 2010
2009
Three ways to solve the Poisson equation on a sphere with Gaussian forcing.
J. Comput. Phys., 2009
Acceleration of algebraicallyconverging Fourier series when the coefficients have series in powers of 1/n.
J. Comput. Phys., 2009
Divergence (Runge Phenomenon) for leastsquares polynomial approximation on an equispaced grid and MockChebyshev subset interpolation.
Appl. Math. Comput., 2009
An analytic approximation to the cardinal functions of Gaussian radial basis functions on an infinite lattice.
Appl. Math. Comput., 2009
2008
The Blasius Function: Computations Before Computers, the Value of Tricks, Undergraduate Projects, and Open Research Problems.
SIAM Review, 2008
Evaluating of Dawson's Integral by solving its differential equation using orthogonal rational Chebyshev functions.
Appl. Math. Comput., 2008
Exploiting parity in converting to and from Bernstein polynomials and orthogonal polynomials.
Appl. Math. Comput., 2008
2007
Why Newton's method is hard for travelling waves: Small denominators, KAM theory, Arnold's linear Fourier problem, nonuniqueness, constraints and erratic failure.
Math. Comput. Simul., 2007
Computing the zeros of a Fourier series or a Chebyshev series or general orthogonal polynomial series with parity symmetries.
Comput. Math. Appl., 2007
Exponentially accurate Rungefree approximation of nonperiodic functions from samples on an evenly spaced grid.
Appl. Math. Lett., 2007
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., 2007
2006
Asymptotic Fourier Coefficients for a C infinity Bell (Smoothed"TopHat") & the Fourier Extension Problem.
J. Sci. Comput., 2006
A proof that the discrete singular convolution (DSC)/Lagrangedistributed approximating function (LDAF) method is inferior to high order finite differences.
J. Comput. Phys., 2006
Rootfinding through global Newton iteration and Chebyshev polynomials for the amplitude of an electronic oscillator.
Appl. Math. Comput., 2006
Computing real roots of a polynomial in Chebyshev series form through subdivision with linear testing and cubic solves.
Appl. Math. Comput., 2006
Fourier pseudospectral method with Kepler mapping for travelling waves with discontinuous slope: Application to corner waves of the OstrovskyHunter equation and equatorial Kelvin waves in the fourmode approximation.
Appl. Math. Comput., 2006
2005
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., 2005
Hyperasymptotics and the Linear Boundary Layer Problem: Why Asymptotic Series Diverge.
SIAM Review, 2005
Chebyshev solution of the nearlysingular onedimensional Helmholtz equation and related singular perturbation equations: multiple scale series and the boundary layer ruleofthumb.
Numer. Algorithms, 2005
The cnoidal wave/corner wave/breaking wave scenario: A onesided infinitedimension bifurcation.
Math. Comput. Simul., 2005
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., 2005
2003
Large mode number eigenvalues of the prolate spheroidal differential equation.
Appl. Math. Comput., 2003
Chebyshev polynomial expansions for simultaneous approximation of two branches of a function with application to the onedimensional Bratu equation.
Appl. Math. Comput., 2003
2002
Computing Zeros on a Real Interval through Chebyshev Expansion and Polynomial Rootfinding.
SIAM J. Numer. Anal., 2002
Shafer (HermitePadé) approximants for functions with exponentially small imaginary part with application to equatorial waves with critical latitude.
Appl. Math. Comput., 2002
2001
Additive blending of local approximations into a globallyvalid approximation with application to the dilogarithm.
Appl. Math. Lett., 2001
1999
The Blasius Function in the Complex Plane.
Experimental Mathematics, 1999
1993
Chebyshev and Legendre Spectral Methods in Algebraic Manipulation Languages.
J. Symb. Comput., 1993
1990
An Introduction to the Numerical Analysis of Spectral Methods (Bertrand Mercier).
SIAM Review, 1990
1988
Chebyshev domain truncation is inferior to fourier domain truncation for solving problems on an infinite interval.
J. Sci. Comput., 1988