% csauthors.net - beta - BibTeX bibliography of John P. Boyd 001
@article{journals/jscic/Boyd88,
title = {Chebyshev domain truncation is inferior to fourier domain truncation for solving problems on an infinite interval.},
year = {1988},
journal = {J. Sci. Comput.},
author = {{John P. Boyd 001}}
}
@article{journals/siamrev/Boyd90,
title = {An Introduction to the Numerical Analysis of Spectral Methods (Bertrand Mercier).},
year = {1990},
journal = {SIAM Rev.},
author = {{John P. Boyd 001}}
}
@article{journals/jsc/Boyd93b,
title = {Chebyshev and Legendre Spectral Methods in Algebraic Manipulation Languages.},
year = {1993},
journal = {J. Symb. Comput.},
author = {{John P. Boyd 001}}
}
@article{journals/em/Boyd99,
title = {The Blasius Function in the Complex Plane.},
year = {1999},
journal = {Exp. Math.},
author = {{John P. Boyd 001}}
}
@article{journals/appml/Boyd01,
title = {Additive blending of local approximations into a globally-valid approximation with application to the dilogarithm.},
year = {2001},
journal = {Appl. Math. Lett.},
author = {{John P. Boyd 001}}
}
@article{journals/amc/BoydN02,
title = {Shafer (Hermite-Padé) approximants for functions with exponentially small imaginary part with application to equatorial waves with critical latitude.},
year = {2002},
journal = {Appl. Math. Comput.},
author = {{John P. Boyd 001} and {Andrei Natarov}}
}
@article{journals/siamnum/Boyd02,
title = {Computing Zeros on a Real Interval through Chebyshev Expansion and Polynomial Rootfinding.},
year = {2002},
journal = {SIAM J. Numer. Anal.},
author = {{John P. Boyd 001}}
}
@article{journals/amc/Boyd03,
title = {Chebyshev polynomial expansions for simultaneous approximation of two branches of a function with application to the one-dimensional Bratu equation.},
year = {2003},
journal = {Appl. Math. Comput.},
author = {{John P. Boyd 001}}
}
@article{journals/amc/Boyd03a,
title = {Large mode number eigenvalues of the prolate spheroidal differential equation.},
year = {2003},
journal = {Appl. Math. Comput.},
author = {{John P. Boyd 001}}
}
@article{journals/amc/Boyd05,
title = {Fourier embedded domain methods: extending a function defined on an irregular region to a rectangle so that the extension is spatially periodic and C∞.},
year = {2005},
journal = {Appl. Math. Comput.},
author = {{John P. Boyd 001}}
}
@article{journals/mcs/Boyd05,
title = {The cnoidal wave/corner wave/breaking wave scenario: A one-sided infinite-dimension bifurcation.},
year = {2005},
journal = {Math. Comput. Simul.},
author = {{John P. Boyd 001}}
}
@article{journals/na/Boyd05,
title = {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.},
year = {2005},
journal = {Numer. Algorithms},
author = {{John P. Boyd 001}}
}
@article{journals/siamrev/Boyd05,
title = {Hyperasymptotics and the Linear Boundary Layer Problem: Why Asymptotic Series Diverge.},
year = {2005},
journal = {SIAM Rev.},
author = {{John P. Boyd 001}}
}
@article{journals/toms/Boyd05,
title = {Algorithm 840: computation of grid points, quadrature weights and derivatives for spectral element methods using prolate spheroidal wave functions - prolate elements.},
year = {2005},
journal = {ACM Trans. Math. Softw.},
author = {{John P. Boyd 001}}
}
@article{journals/amc/Boyd06,
title = {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.},
year = {2006},
journal = {Appl. Math. Comput.},
author = {{John P. Boyd 001}}
}
@article{journals/amc/Boyd06a,
title = {Computing real roots of a polynomial in Chebyshev series form through subdivision with linear testing and cubic solves.},
year = {2006},
journal = {Appl. Math. Comput.},
author = {{John P. Boyd 001}}
}
@article{journals/amc/BoydV06,
title = {Rootfinding through global Newton iteration and Chebyshev polynomials for the amplitude of an electronic oscillator.},
year = {2006},
journal = {Appl. Math. Comput.},
author = {{John P. Boyd 001} and {Robert M. Visser}}
}
@article{journals/jcphy/Boyd06,
title = {A proof that the discrete singular convolution (DSC)/Lagrange-distributed approximating function (LDAF) method is inferior to high order finite differences.},
year = {2006},
journal = {J. Comput. Phys.},
author = {{John P. Boyd 001}}
}
@article{journals/jscic/Boyd06,
title = {Asymptotic Fourier Coefficients for a C infinity Bell (Smoothed-"Top-Hat") & the Fourier Extension Problem.},
year = {2006},
journal = {J. Sci. Comput.},
author = {{John P. Boyd 001}}
}
@article{journals/amc/Boyd07,
title = {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.},
year = {2007},
journal = {Appl. Math. Comput.},
author = {{John P. Boyd 001}}
}
@article{journals/appml/Boyd07,
title = {Exponentially accurate Runge-free approximation of non-periodic functions from samples on an evenly spaced grid.},
year = {2007},
journal = {Appl. Math. Lett.},
author = {{John P. Boyd 001}}
}
@article{journals/cma/Boyd07,
title = {Computing the zeros of a Fourier series or a Chebyshev series or general orthogonal polynomial series with parity symmetries.},
year = {2007},
journal = {Comput. Math. Appl.},
author = {{John P. Boyd 001}}
}
@article{journals/mcs/Boyd07,
title = {Why Newton's method is hard for travelling waves: Small denominators, KAM theory, Arnold's linear Fourier problem, non-uniqueness, constraints and erratic failure.},
year = {2007},
journal = {Math. Comput. Simul.},
author = {{John P. Boyd 001}}
}
@article{journals/amc/Boyd08,
title = {Exploiting parity in converting to and from Bernstein polynomials and orthogonal polynomials.},
year = {2008},
journal = {Appl. Math. Comput.},
author = {{John P. Boyd 001}}
}
@article{journals/amc/Boyd08a,
title = {Evaluating of Dawson's Integral by solving its differential equation using orthogonal rational Chebyshev functions.},
year = {2008},
journal = {Appl. Math. Comput.},
author = {{John P. Boyd 001}}
}
@article{journals/siamrev/Boyd08,
title = {The Blasius Function: Computations Before Computers, the Value of Tricks, Undergraduate Projects, and Open Research Problems.},
year = {2008},
journal = {SIAM Rev.},
author = {{John P. Boyd 001}}
}
@article{journals/amc/BoydW09,
title = {An analytic approximation to the cardinal functions of Gaussian radial basis functions on an infinite lattice.},
year = {2009},
journal = {Appl. Math. Comput.},
author = {{John P. Boyd 001} and {Lei Wang 013}}
}
@article{journals/amc/BoydX09,
title = {Divergence (Runge Phenomenon) for least-squares polynomial approximation on an equispaced grid and Mock-Chebyshev subset interpolation.},
year = {2009},
journal = {Appl. Math. Comput.},
author = {{John P. Boyd 001} and {Fei Xu}}
}
@article{journals/jcphy/Boyd09,
title = {Acceleration of algebraically-converging Fourier series when the coefficients have series in powers of 1/n.},
year = {2009},
journal = {J. Comput. Phys.},
author = {{John P. Boyd 001}}
}
@article{journals/jcphy/BoydZ09,
title = {Three ways to solve the Poisson equation on a sphere with Gaussian forcing.},
year = {2009},
journal = {J. Comput. Phys.},
author = {{John P. Boyd 001} and {Cheng Zhou}}
}
@article{journals/amc/Boyd10,
title = {The Legendre-Burgers equation: When artificial dissipation fails.},
year = {2010},
journal = {Appl. Math. Comput.},
author = {{John P. Boyd 001}}
}
@article{journals/amc/BoydW10,
title = {Asymptotic coefficients for Gaussian radial basis function interpolants.},
year = {2010},
journal = {Appl. Math. Comput.},
author = {{John P. Boyd 001} and {Lei Wang 013}}
}
@article{journals/cma/Boyd10,
title = {Six strategies for defeating the Runge Phenomenon in Gaussian radial basis functions on a finite interval.},
year = {2010},
journal = {Comput. Math. Appl.},
author = {{John P. Boyd 001}}
}
@article{journals/jcam/Boyd10,
title = {Error saturation in Gaussian radial basis functions on a finite interval.},
year = {2010},
journal = {J. Comput. Appl. Math.},
author = {{John P. Boyd 001}}
}
@article{journals/jcphy/Boyd10,
title = {The uselessness of the Fast Gauss Transform for summing Gaussian radial basis function series.},
year = {2010},
journal = {J. Comput. Phys.},
author = {{John P. Boyd 001}}
}
@article{journals/amc/Boyd11,
title = {One-point pseudospectral collocation for the one-dimensional Bratu equation.},
year = {2011},
journal = {Appl. Math. Comput.},
author = {{John P. Boyd 001}}
}
@article{journals/jcam/Boyd11,
title = {New series for the cosine lemniscate function and the polynomialization of the lemniscate integral.},
year = {2011},
journal = {J. Comput. Appl. Math.},
author = {{John P. Boyd 001}}
}
@article{journals/jcphy/Boyd11,
title = {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.},
year = {2011},
journal = {J. Comput. Phys.},
author = {{John P. Boyd 001}}
}
@article{journals/jcphy/BoydY11,
title = {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.},
year = {2011},
journal = {J. Comput. Phys.},
author = {{John P. Boyd 001} and {Fu Yu}}
}
@article{journals/amc/Boyd12,
title = {Numerical, perturbative and Chebyshev inversion of the incomplete elliptic integral of the second kind.},
year = {2012},
journal = {Appl. Math. Comput.},
author = {{John P. Boyd 001}}
}
@article{journals/amc/BoydS12,
title = {Computing the real roots of a Fourier series-plus-linear-polynomial: A Chebyshev companion matrix approach.},
year = {2012},
journal = {Appl. Math. Comput.},
author = {{John P. Boyd 001} and {Burhan A. Sadiq}}
}
@article{journals/amc/BoydX12,
title = {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.},
year = {2012},
journal = {Appl. Math. Comput.},
author = {{John P. Boyd 001} and {Yang (Chris) Xiu}}
}
@article{journals/jcphy/BoydX12,
title = {Numerical and perturbative computations of solitary waves of the Benjamin-Ono equation with higher order nonlinearity using Christov rational basis functions.},
year = {2012},
journal = {J. Comput. Phys.},
author = {{John P. Boyd 001} and {Zhengjie Xu}}
}
@article{journals/amc/Boyd13,
title = {A Fourier error analysis for radial basis functions on an infinite uniform grid. Part 2: Spectral-plus is special.},
year = {2013},
journal = {Appl. Math. Comput.},
author = {{John P. Boyd 001}}
}
@article{journals/appml/BoydA13,
title = {Hermite function interpolation on a finite uniform grid: Defeating the Runge phenomenon and replacing radial basis functions.},
year = {2013},
journal = {Appl. Math. Lett.},
author = {{John P. Boyd 001} and {Luis F. Alfaro}}
}
@article{journals/cma/BoydM13,
title = {Quartic Gaussian and Inverse-Quartic Gaussian radial basis functions: The importance of a nonnegative Fourier transform.},
year = {2013},
journal = {Comput. Math. Appl.},
author = {{John P. Boyd 001} and {Philip W. McCauley}}
}
@article{journals/jcam/Boyd13,
title = {Rational Chebyshev series for the Thomas-Fermi function: Endpoint singularities and spectral methods.},
year = {2013},
journal = {J. Comput. Appl. Math.},
author = {{John P. Boyd 001}}
}
@article{journals/jcphy/Boyd13,
title = {A comparison of companion matrix methods to find roots of a trigonometric polynomial.},
year = {2013},
journal = {J. Comput. Phys.},
author = {{John P. Boyd 001}}
}
@article{journals/jscic/BoydGS13,
title = {The Nonconvergence of \$\$h\$\$ h -Refinement in Prolate Elements.},
year = {2013},
journal = {J. Sci. Comput.},
author = {{John P. Boyd 001} and {Gregor Gassner} and {Burhan A. Sadiq}}
}
@article{journals/siamrev/Boyd13,
title = {Finding the Zeros of a Univariate Equation: Proxy Rootfinders, Chebyshev Interpolation, and the Companion Matrix.},
year = {2013},
journal = {SIAM Rev.},
author = {{John P. Boyd 001}}
}
@book{books/daglib/0034924,
title = {Solving Transcendental Equations - the Chebyshev Polynomial Proxy and Other Numerical Rootfinders, Perturbation Series, and Oracles.},
year = {2014},
isbn = {978-1-611-97351-8},
publisher = {SIAM},
author = {{John P. Boyd 001}}
}
@article{journals/amc/AmoreBF14,
title = {Accurate calculation of the solutions to the Thomas-Fermi equations.},
year = {2014},
journal = {Appl. Math. Comput.},
author = {{Paolo Amore} and {John P. Boyd 001} and {Francisco M. Fernández}}
}
@article{journals/amc/Boyd14,
title = {The Fourier Transform of the quartic Gaussian exp(-Ax4): Hypergeometric functions, power series, steepest descent asymptotics and hyperasymptotics and extensions to exp(-Ax2n).},
year = {2014},
journal = {Appl. Math. Comput.},
author = {{John P. Boyd 001}}
}
@article{journals/jcphy/LiB14,
title = {Symmetrizing grids, radial basis functions, and Chebyshev and Zernike polynomials for the D4 symmetry group; Interpolation within a squircle, Part I.},
year = {2014},
journal = {J. Comput. Phys.},
author = {{Shan Li} and {John P. Boyd 001}}
}
@article{journals/jscic/BoydP14,
title = {The Relationships Between Chebyshev, Legendre and Jacobi Polynomials: The Generic Superiority of Chebyshev Polynomials and Three Important Exceptions.},
year = {2014},
journal = {J. Sci. Comput.},
author = {{John P. Boyd 001} and {Rolfe Petschek}}
}
@article{journals/amc/Boyd15,
title = {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.},
year = {2015},
journal = {Appl. Math. Comput.},
author = {{John P. Boyd 001}}
}
@article{journals/amc/LiB15,
title = {Spectral methods in non-tensor geometry, Part II: Chebyshev versus Zernike polynomials, gridding strategies and spectral extension on squircle-bounded and perturbed-quadrifolium domains.},
year = {2015},
journal = {Appl. Math. Comput.},
author = {{Shan Li} and {John P. Boyd 001}}
}
@article{journals/cphysics/Boyd15,
title = {Four ways to compute the inverse of the complete elliptic integral of the first kind.},
year = {2015},
journal = {Comput. Phys. Commun.},
author = {{John P. Boyd 001}}
}
@article{journals/jcphy/HuangB15,
title = {Chebyshev-Fourier spectral methods in bipolar coordinates.},
year = {2015},
journal = {J. Comput. Phys.},
author = {{Zhu Huang} and {John P. Boyd 001}}
}
@article{journals/jcphy/HuangB15a,
title = {Modal preconditioning of Galerkin spectral methods: Dual bookkeeping for the Delves-Freeman iteration.},
year = {2015},
journal = {J. Comput. Phys.},
author = {{Zhu Huang} and {John P. Boyd 001}}
}
@article{journals/jcphy/HuangXB15,
title = {Adaptive radial basis function and Hermite function pseudospectral methods for computing eigenvalues of the prolate spheroidal wave equation for very large bandwidth parameter.},
year = {2015},
journal = {J. Comput. Phys.},
author = {{Zhu Huang} and {Jianping Xiao} and {John P. Boyd 001}}
}
@article{journals/jcphy/LiB15,
title = {Approximation on non-tensor domains including squircles, Part III: Polynomial hyperinterpolation and radial basis function interpolation on Chebyshev-like grids and truncated uniform grids.},
year = {2015},
journal = {J. Comput. Phys.},
author = {{Shan Li} and {John P. Boyd 001}}
}
@article{journals/jcphy/XiaoWB15,
title = {RBF-vortex methods for the barotropic vorticity equation on a sphere.},
year = {2015},
journal = {J. Comput. Phys.},
author = {{Jianping Xiao} and {Lei Wang 013} and {John P. Boyd 001}}
}
@article{journals/appml/Boyd16,
title = {A degree-increasing [N to N+1] homotopy for Chebyshev and Fourier spectral methods.},
year = {2016},
journal = {Appl. Math. Lett.},
author = {{John P. Boyd 001}}
}
@article{journals/cma/Boyd16,
title = {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.},
year = {2016},
journal = {Comput. Math. Appl.},
author = {{John P. Boyd 001}}
}
@article{journals/jcam/HuangB16,
title = {Bandwidth truncation for Chebyshev polynomial and ultraspherical/Chebyshev Galerkin discretizations of differential equations: Restrictions and two improvements.},
year = {2016},
journal = {J. Comput. Appl. Math.},
author = {{Zhu Huang} and {John P. Boyd 001}}
}
@article{journals/jcphy/AmoreBFR16,
title = {High order eigenvalues for the Helmholtz equation in complicated non-tensor domains through Richardson extrapolation of second order finite differences.},
year = {2016},
journal = {J. Comput. Phys.},
author = {{Paolo Amore} and {John P. Boyd 001} and {Francisco M. Fernández} and {Boris Rösler}}
}
@article{journals/jscic/Boyd16,
title = {Tracing Multiple Solution Branches for Nonlinear Ordinary Differential Equations: Chebyshev and Fourier Spectral Methods and a Degree-Increasing Spectral Homotopy [DISH].},
year = {2016},
journal = {J. Sci. Comput.},
author = {{John P. Boyd 001}}
}
@article{journals/tamm/Boyd16,
title = {Correcting Three Errors in Kantorovich & Krylov's Approximate Methods of Higher Analysis.},
year = {2016},
journal = {Am. Math. Mon.},
author = {{John P. Boyd 001}}
}
@article{journals/adcm/IaconoB17,
title = {New approximations to the principal real-valued branch of the Lambert W-function.},
year = {2017},
journal = {Adv. Comput. Math.},
author = {{Roberto Iacono} and {John P. Boyd 001}}
}
@article{journals/amc/Boyd17,
title = {The Crane equation uuxx=-2: The general explicit solution and a case study of Chebyshev polynomial series for functions with weak endpoint singularities.},
year = {2017},
journal = {Appl. Math. Comput.},
author = {{John P. Boyd 001}}
}
@article{journals/appml/BoydG17,
title = {All roots spectral methods: Constraints, floating point arithmetic and root exclusion.},
year = {2017},
journal = {Appl. Math. Lett.},
author = {{John P. Boyd 001} and {Calin-Ioan Gheorghiu}}
}
@article{journals/tamm/BoydW17,
title = {Convergent Power Series for Boundary Value Problems and Eigenproblems with Application to Atmospheric and Oceanic Tides.},
year = {2017},
journal = {Am. Math. Mon.},
author = {{John P. Boyd 001} and {Houjun Wang}}
}
@article{journals/cphysics/BoydAF18,
title = {Spectral algorithms for multiple scale localized eigenfunctions in infinitely long, slightly bent quantum waveguides.},
year = {2018},
journal = {Comput. Phys. Commun.},
author = {{John P. Boyd 001} and {Paolo Amore} and {Francisco M. Fernández}}
}
@article{journals/jcphyx/Amore0S19,
title = {Isospectral heterogeneous domains: A numerical study.},
year = {2019},
journal = {J. Comput. Phys. X},
author = {{Paolo Amore} and {John P. Boyd 001} and {Natalia Tene Sandoval}}
}
@article{journals/mcs/HuangB19,
title = {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.},
year = {2019},
journal = {Math. Comput. Simul.},
author = {{Zhu Huang} and {John P. Boyd 001}}
}
@article{journals/jscic/ZhangB20,
title = {Optimal Truncations for Multivariate Fourier and Chebyshev Series: Mysteries of the Hyperbolic Cross: Part I: Bivariate Case.},
year = {2020},
journal = {J. Sci. Comput.},
author = {{Xiaolong Zhang 005} and {John P. Boyd 001}}
}
@article{journals/corr/abs-2103-11841,
title = {Asymptotic Coefficients and Errors for Chebyshev Polynomial Approximations with Weak Endpoint Singularities: Effects of Different Bases.},
year = {2021},
journal = {CoRR},
author = {{Xiaolong Zhang} and {John P. Boyd 001}}
}
@article{journals/jcam/ZhangB22,
title = {Exact solutions to a nonlinear partial differential equation: The Product-of-Curvatures Poisson (uxxuyy=1).},
year = {2022},
journal = {J. Comput. Appl. Math.},
author = {{Xiaolong Zhang 005} and {John P. Boyd 001}}
}
@article{journals/mcs/Boyd23,
title = {Using parity to accelerate Hermite function computations: Zeros of truncated Hermite series, Gaussian quadrature and Clenshaw summation.},
year = {2023},
month = {May},
journal = {Math. Comput. Simul.},
author = {{John P. Boyd 001}}
}