2008 |
15 | EE | John P. Boyd:
Exploiting parity in converting to and from Bernstein polynomials and orthogonal polynomials.
Applied Mathematics and Computation 198(2): 925-929 (2008) |
14 | EE | John P. Boyd:
Evaluating of Dawson's Integral by solving its differential equation using orthogonal rational Chebyshev functions.
Applied Mathematics and Computation 204(2): 914-919 (2008) |
2007 |
13 | EE | John P. Boyd:
Exponentially accurate Runge-free approximation of non-periodic functions from samples on an evenly spaced grid.
Appl. Math. Lett. 20(9): 971-975 (2007) |
12 | EE | John P. Boyd:
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.
Applied Mathematics and Computation 188(2): 1780-1789 (2007) |
11 | EE | John P. Boyd:
Why Newton's method is hard for travelling waves: Small denominators, KAM theory, Arnold's linear Fourier problem, non-uniqueness, constraints and erratic failure.
Mathematics and Computers in Simulation 74(2-3): 72-81 (2007) |
2006 |
10 | EE | John P. Boyd:
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.
Applied Mathematics and Computation 177(1): 289-299 (2006) |
9 | EE | John P. Boyd,
Robert M. Visser:
Rootfinding through global Newton iteration and Chebyshev polynomials for the amplitude of an electronic oscillator.
Applied Mathematics and Computation 182(1): 166-174 (2006) |
8 | EE | John P. Boyd:
Asymptotic Fourier Coefficients for a C infinity Bell (Smoothed-"Top-Hat") & the Fourier Extension Problem.
J. Sci. Comput. 29(1): 1-24 (2006) |
2005 |
7 | EE | John P. Boyd:
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. 31(1): 149-165 (2005) |
6 | EE | John P. Boyd:
Fourier embedded domain methods: extending a function defined on an irregular region to a rectangle so that the extension is spatially periodic and C INFINITY .
Applied Mathematics and Computation 161(2): 591-597 (2005) |
5 | EE | John P. Boyd:
The cnoidal wave/corner wave/breaking wave scenario: A one-sided infinite-dimension bifurcation.
Mathematics and Computers in Simulation 69(3-4): 235-242 (2005) |
2001 |
4 | EE | John P. Boyd:
Additive blending of local approximations into a globally-valid approximation with application to the dilogarithm.
Appl. Math. Lett. 14(4): 477-481 (2001) |
2000 |
3 | EE | William Rodman Shankle,
Benjamin H. Landing,
Michael S. Rafii,
Junko Hara,
James H. Fallon,
A. Kimball Romney,
John P. Boyd:
CYBERCHILD: A database of the microscopic development of the postnatal human cerebral cortex from birth to 72 months.
Neurocomputing 32-33: 1109-1114 (2000) |
1993 |
2 | | John P. Boyd:
Chebyshev and Legendre Spectral Methods in Algebraic Manipulation Languages.
J. Symb. Comput. 16(4): 377-399 (1993) |
1988 |
1 | EE | John P. Boyd:
Chebyshev domain truncation is inferior to fourier domain truncation for solving problems on an infinite interval.
J. Sci. Comput. 3(2): 109-120 (1988) |