Search Results - "Weideman, JAC"

An improved Talbot method for numerical Laplace transform inversion by Dingfelder, Benedict, Weideman, J. A. C.

“…The classical Talbot method for the computation of the inverse Laplace transform is improved for the case where the transform is analytic in the complex plane…”
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A numerical methodology for the Painlevé equations by Fornberg, Bengt, Weideman, J.A.C.

“…The six Painlevé transcendents P I − P VI have both applications and analytic properties that make them stand out from most other classes of special functions…”
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Methods for the computation of the multivalued Painlevé transcendents on their Riemann surfaces by Fasondini, Marco, Fornberg, Bengt, Weideman, J.A.C.

“…We extend the numerical pole field solver (Fornberg and Weideman (2011) [12]) to enable the computation of the multivalued Painlevé transcendents, which are…”
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A Computational Exploration of the Second Painlevé Equation by Fornberg, Bengt, Weideman, J. A. C.

“…The pole field solver developed recently by the authors (J. Comput. Phys. 230:5957–5973, 2011 ) is used to survey the space of solutions of the second Painlevé…”
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Improved contour integral methods for parabolic PDEs by Weideman, J. A. C.

“…One way of computing the matrix exponential that arises in semidiscrete parabolic partial differential equations is via the Dunford–Cauchy integral formula…”
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OPTIMAL DOMAIN SPLITTING FOR INTERPOLATION BY CHEBYSHEV POLYNOMIALS by DRISCOLL, TOBIN A., WEIDEMAN, J. A. C.

“…Polynomial interpolants defined using Chebyshev extreme points as nodes converge uniformly at a geometric rate when sampling a function that is analytic on an…”
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Approximate solutions to a nonlinear functional differential equation by Hale, Nicholas, Thomann, Enrique, Weideman, JAC

“…A functional differential equation related to the logistic equation is studied by a combination of numerical and perturbation methods. Parameter regions are…”
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Numerical Integration of Periodic Functions: A Few Examples by Weideman, J. A. C.

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Computation of the Complex Error Function by Weideman, J. A. C.

“…Rational expansions for computing the complex error function$w(z) = e^{-z^2} \operatorname{erfc}(-iz)$are presented. These expansion have the following…”
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The Accuracy of the Chebyshev Differencing Method for Analytic Functions by S. C. Reddy, Weideman, J. A. C.

“…The Chebyshev spectral collocation method is one of the most powerful tools for numerical differentiation, particularly when the function under consideration…”
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Quadrature rules based on partial fraction expansions by Weideman, J.A.C, Laurie, D.P

“…Quadrature rules are typically derived by requiring that all polynomials of a certain degree be integrated exactly. The nonstandard issue discussed here is the…”
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Split-Step Methods for the Solution of the Nonlinear Schrodinger Equation by Weideman, J. A. C., Herbst, B. M.

“…A split-step method is used to discretize the time variable for the numerical solution of the nonlinear Schrodinger equation. The space variable is discretized…”
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The Eigenvalues of Second-Order Spectral Differentiation Matrices by Weideman, J. A. C., Trefethen, L. N.

“…The eigenvalues of the pseudospectral second derivative matrix with homogeneous Dirichlet boundary conditions are important in many applications of spectral…”
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Finite difference methods for an AKNS eigenproblem by Weideman, J.A.C., Herbst, B.M.

“…We consider the numerical solution of the AKNS eigenproblem associated with the nonlinear Schrödinger equation. Four finite difference methods are considered:…”
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The eigenvalues of Hermite and rational spectral differentiation matrices by WEIDEMAN, J. A. C

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