J. A. C. Weideman

Orcid: 0000-0002-6833-8222

Affiliations:
  • Stellenbosch University, South Africa


According to our database1, J. A. C. Weideman authored at least 24 papers between 1999 and 2024.

Collaborative distances:
  • Dijkstra number2 of five.
  • Erdős number3 of four.

Timeline

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Bibliography

2024
Approximate solutions to a nonlinear functional differential equation.
CoRR, 2024

2023
Fully numerical Laplace transform methods.
Numer. Algorithms, January, 2023

Complex-plane singularity dynamics for blow up in a nonlinear heat equation: analysis and computation.
CoRR, 2023

2022
Blow up in a periodic semilinear heat equation.
CoRR, 2022

2021
Exponential node clustering at singularities for rational approximation, quadrature, and PDEs.
Numerische Mathematik, 2021

2019
Gauss-Hermite Quadrature for the Bromwich Integral.
SIAM J. Numer. Anal., 2019

2017
Methods for the computation of the multivalued Painlevé transcendents on their Riemann surfaces.
J. Comput. Phys., 2017

2015
Contour Integral Solution of Elliptic PDEs in Cylindrical Domains.
SIAM J. Sci. Comput., 2015

An improved Talbot method for numerical Laplace transform inversion.
Numer. Algorithms, 2015

2014
The Exponentially Convergent Trapezoidal Rule.
SIAM Rev., 2014

Optimal Domain Splitting for Interpolation by Chebyshev Polynomials.
SIAM J. Numer. Anal., 2014

A Computational Exploration of the Second Painlevé Equation.
Found. Comput. Math., 2014

2011
A Contour Integral Method for the Black-Scholes and Heston Equations.
SIAM J. Sci. Comput., 2011

A numerical methodology for the Painlevé equations.
J. Comput. Phys., 2011

2008
Algorithm 882: Near-Best Fixed Pole Rational Interpolation with Applications in Spectral Methods.
ACM Trans. Math. Softw., 2008

2007
The kink phenomenon in Fejér and Clenshaw-Curtis quadrature.
Numerische Mathematik, 2007

Parabolic and hyperbolic contours for computing the Bromwich integral.
Math. Comput., 2007

2006
Optimizing Talbot's Contours for the Inversion of the Laplace Transform.
SIAM J. Numer. Anal., 2006

2005
The Accuracy of the Chebyshev Differencing Method for Analytic Functions.
SIAM J. Numer. Anal., 2005

2003
Computing the Dynamics of Complex Singularities of Nonlinear PDEs.
SIAM J. Appl. Dyn. Syst., 2003

2002
Numerical Integration of Periodic Functions: A Few Examples.
Am. Math. Mon., 2002

2000
A MATLAB differentiation matrix suite.
ACM Trans. Math. Softw., 2000

Quadrature rules based on partial fraction expansions.
Numer. Algorithms, 2000

1999
Algorithms for Parameter Selection in the Weeks Method for Inverting the Laplace Transform.
SIAM J. Sci. Comput., 1999


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