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J.A.C. Weideman
J.A.C. Weideman
Professor of Applied Mathematics, Stellenbosch University
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A MATLAB differentiation matrix suite
JA Weideman, SC Reddy
ACM transactions on mathematical software (TOMS) 26 (4), 465-519, 2000
11552000
The exponentially convergent trapezoidal rule
LN Trefethen, JAC Weideman
SIAM review 56 (3), 385-458, 2014
6172014
Split-step methods for the solution of the nonlinear Schrödinger equation
JAC Weideman, BM Herbst
SIAM Journal on Numerical Analysis 23 (3), 485-507, 1986
5751986
Parabolic and hyperbolic contours for computing the Bromwich integral
J Weideman, L Trefethen
Mathematics of Computation 76 (259), 1341-1356, 2007
3022007
Computation of the complex error function
JAC Weideman
SIAM Journal on Numerical Analysis 31 (5), 1497-1518, 1994
2981994
Talbot quadratures and rational approximations
LN Trefethen, JAC Weideman, T Schmelzer
BIT Numerical Mathematics 46, 653-670, 2006
2622006
The eigenvalues of second-order spectral differentiation matrices
JAC Weideman, LN Trefethen
SIAM Journal on Numerical Analysis 25 (6), 1279-1298, 1988
1711988
Numerical integration of periodic functions: A few examples
JAC Weideman
The American mathematical monthly 109 (1), 21-36, 2002
1672002
Optimizing Talbot’s contours for the inversion of the Laplace transform
JAC Weideman
SIAM Journal on Numerical Analysis 44 (6), 2342-2362, 2006
1312006
Two results on polynomial interpolation in equally spaced points
LN Trefethen, JAC Weideman
Journal of Approximation Theory 65 (3), 247-260, 1991
1161991
An improved Talbot method for numerical Laplace transform inversion
B Dingfelder, JAC Weideman
Numerical Algorithms 68 (1), 167-183, 2015
1042015
Computing the Hilbert transform on the real line
JAC Weideman
Mathematics of Computation 64 (210), 745-762, 1995
1021995
A numerical methodology for the Painlevé equations
B Fornberg, JAC Weideman
Journal of Computational Physics 230 (15), 5957-5973, 2011
922011
Algorithms for parameter selection in the Weeks method for inverting the Laplace transform
JAC Weideman
SIAM Journal on Scientific Computing 21 (1), 111-128, 1999
911999
The eigenvalues of Hermite and rational spectral differentiation matrices
JAC Weideman
Numerische Mathematik 61, 409-432, 1992
681992
The kink phenomenon in Fejér and Clenshaw–Curtis quadrature
JAC Weideman, LN Trefethen
Numerische Mathematik 107 (4), 707-727, 2007
672007
Computing the dynamics of complex singularities of nonlinear PDEs
JAC Weideman
SIAM Journal on Applied Dynamical Systems 2 (2), 171-186, 2003
572003
Exponential node clustering at singularities for rational approximation, quadrature, and PDEs
LN Trefethen, Y Nakatsukasa, JAC Weideman
Numerische Mathematik 147, 227-254, 2021
482021
A computational exploration of the second Painlevé equation
B Fornberg, JAC Weideman
Foundations of Computational Mathematics 14, 985-1016, 2014
482014
The accuracy of the Chebyshev differencing method for analytic functions
SC Reddy, JAC Weideman
SIAM journal on numerical analysis 42 (5), 2176-2187, 2005
472005
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