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Weideman, J. André C.

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Author ID: weideman.j-andre-c Recent zbMATH articles by "Weideman, J. André C."
Published as: Weideman, J. A. C.; Weideman, J. André C.
Documents Indexed: 48 Publications since 1983

Publications by Year

Citations contained in zbMATH Open

43 Publications have been cited 778 times in 615 Documents Cited by Year
The exponentially convergent trapezoidal rule. Zbl 1307.65031
Trefethen, Lloyd N.; Weideman, J. A. C.
122
2014
Split-step methods for the solution of the nonlinear Schrödinger equation. Zbl 0597.76012
Weideman, J. A. C.; Herbst, B. M.
95
1986
Parabolic and hyperbolic contours for computing the Bromwich integral. Zbl 1113.65119
Weideman, J. A. C.; Trefethen, L. N.
75
2007
Talbot quadratures and rational approximations. Zbl 1103.65030
Trefethen, L. N.; Weideman, J. A. C.; Schmelzer, T.
58
2006
The eigenvalues of second-order spectral differentiation matrices. Zbl 0666.65063
Weideman, J. A. C.; Trefethen, L. N.
43
1988
Optimizing Talbot’s contours for the inversion of the Laplace transform. Zbl 1131.65105
Weideman, J. A. C.
30
2006
Computation of the complex error function. Zbl 0832.65011
Weideman, J. A. C.
28
1994
A numerical methodology for the Painlevé equations. Zbl 1220.65092
Fornberg, Bengt; Weideman, J. A. C.
26
2011
Two results on polynomial interpolation in equally spaced points. Zbl 0736.41005
Trefethen, L. N.; Weideman, J. A. C.
25
1991
Computing the Hilbert transform on the real line. Zbl 0830.65127
Weideman, J. A. C.
20
1995
The kink phenomenon in Fejér and Clenshaw-Curtis quadrature. Zbl 1142.41010
Weideman, J. A. C.; Trefethen, L. N.
18
2007
Numerical integration of periodic functions: a few examples. Zbl 1022.65027
Weideman, J. A. C.
18
2002
A computational exploration of the second Painlevé equation. Zbl 1305.33034
Fornberg, Bengt; Weideman, J. A. C.
15
2014
A contour integral method for the Black-Scholes and Heston equations. Zbl 1233.65067
in ’t Hout, K. J.; Weideman, J. A. C.
15
2011
The accuracy of the Chebyshev differencing method for analytic functions. Zbl 1086.65017
Reddy, S. C.; Weideman, J. A. C.
14
2005
Algorithms for parameter selection in the Weeks method for inverting the Laplace transform. Zbl 0944.65137
Weideman, J. A. C.
14
1999
Spectral methods and mappings for evolution equations on the infinite line. Zbl 0732.65095
Weideman, J. A. C.; Cloot, A.
14
1990
Padé approximations to the logarithm. III: Alternative methods and additional results. Zbl 1108.41011
Driver, Kathy; Prodinger, Helmut; Schneider, Carsten; Weideman, J. A. C.
13
2006
Computing the dynamics of complex singularities of nonlinear PDEs. Zbl 1088.65582
Weideman, J. A. C.
13
2003
Quadrature rules based on partial fraction expansions. Zbl 0962.65020
Weideman, J. A. C.; Laurie, D. P.
13
2000
Improved contour integral methods for parabolic PDEs. Zbl 1186.65125
Weideman, J. A. C.
11
2010
Padé approximations to the logarithm II: Identities, recurrences, and symbolic computation. Zbl 1102.41015
Driver, Kathy; Prodinger, Helmut; Schneider, Carsten; Weideman, J. A. C.
10
2006
An improved Talbot method for numerical Laplace transform inversion. Zbl 1432.65190
Dingfelder, Benedict; Weideman, J. A. C.
9
2015
Spectral methods based on nonclassical orthogonal polynomials. Zbl 0939.65102
Weideman, J. A. C.
8
1999
Numerical simulation of solitons and dromions in the Davey-Stewartson system. Zbl 0812.65119
White, P. W.; Weideman, J. A. C.
7
1994
The eigenvalues of Hermite and rational spectral differentiation matrices. Zbl 0734.65082
Weideman, J. A. C.
7
1992
An adaptive algorithm for spectral computations on unbounded domains. Zbl 0760.65095
Cloot, A.; Weideman, J. A. C.
7
1992
A numerical study of the nonlinear Schrödinger equation involving quintic terms. Zbl 0685.65110
Cloot, A.; Herbst, B. M.; Weideman, J. A. C.
7
1990
On the stability of the nonlinear Schrödinger equation. Zbl 0589.65083
Herbst, B. M.; Mitchell, A. R.; Weideman, J. A. C.
6
1985
Recurrence in semidiscrete approximations of the nonlinear Schrödinger equation. Zbl 0646.65088
Weideman, J. A. C.; Herbst, B. M.
5
1987
Methods for the computation of the multivalued Painlevé transcendents on their Riemann surfaces. Zbl 1380.65059
Fasondini, Marco; Fornberg, Bengt; Weideman, J. A. C.
4
2017
A computational overview of the solution space of the imaginary Painlevé II equation. Zbl 1364.34127
Fornberg, Bengt; Weideman, J. A. C.
4
2015
Dynamics of semi-discretizations of the defocusing nonlinear Schrödinger equation. Zbl 0737.65088
Ablowitz, M. J.; Herbst, B. M.; Weideman, J. A. C.
4
1991
A computational exploration of the McCoy-Tracy-Wu solutions of the third Painlevé equation. Zbl 1375.34125
Fasondini, Marco; Fornberg, Bengt; Weideman, J. A. C.
3
2018
Optimal domain splitting for interpolation by Chebyshev polynomials. Zbl 1302.65041
Driscoll, Tobin A.; Weideman, J. A. C.
3
2014
Contour integral solution of elliptic PDEs in cylindrical domains. Zbl 1327.65042
Hale, Nicholas; Weideman, J. A. C.
2
2015
Spectral differentiation matrices for the numerical solution of Schrödinger’s equation. Zbl 1117.81051
Weideman, J. A. C.
2
2006
Computing special functions via inverse Laplace transforms. Zbl 1088.65517
Weideman, J. A. C.
2
2005
Spectral methods based on nonclassical orthogonal polynomials. Zbl 0953.65057
Weideman, J. André C.
2
1999
Erratum: Computation of the complex error function. Zbl 0844.65008
Weideman, J. A. C.
2
1995
Computing integrals of the complex error function. Zbl 0815.65032
Weideman, J. A. C.
2
1994
A note on an integrable discretization of the nonlinear Schrödinger equation. Zbl 0940.35184
Black, W.; Weideman, J. A. C.; Herbst, B. M.
1
1999
Finite difference methods for an AKNS eigenproblem. Zbl 0870.65069
Weideman, J. A. C.; Herbst, B. M.
1
1997
A computational exploration of the McCoy-Tracy-Wu solutions of the third Painlevé equation. Zbl 1375.34125
Fasondini, Marco; Fornberg, Bengt; Weideman, J. A. C.
3
2018
Methods for the computation of the multivalued Painlevé transcendents on their Riemann surfaces. Zbl 1380.65059
Fasondini, Marco; Fornberg, Bengt; Weideman, J. A. C.
4
2017
An improved Talbot method for numerical Laplace transform inversion. Zbl 1432.65190
Dingfelder, Benedict; Weideman, J. A. C.
9
2015
A computational overview of the solution space of the imaginary Painlevé II equation. Zbl 1364.34127
Fornberg, Bengt; Weideman, J. A. C.
4
2015
Contour integral solution of elliptic PDEs in cylindrical domains. Zbl 1327.65042
Hale, Nicholas; Weideman, J. A. C.
2
2015
The exponentially convergent trapezoidal rule. Zbl 1307.65031
Trefethen, Lloyd N.; Weideman, J. A. C.
122
2014
A computational exploration of the second Painlevé equation. Zbl 1305.33034
Fornberg, Bengt; Weideman, J. A. C.
15
2014
Optimal domain splitting for interpolation by Chebyshev polynomials. Zbl 1302.65041
Driscoll, Tobin A.; Weideman, J. A. C.
3
2014
A numerical methodology for the Painlevé equations. Zbl 1220.65092
Fornberg, Bengt; Weideman, J. A. C.
26
2011
A contour integral method for the Black-Scholes and Heston equations. Zbl 1233.65067
in ’t Hout, K. J.; Weideman, J. A. C.
15
2011
Improved contour integral methods for parabolic PDEs. Zbl 1186.65125
Weideman, J. A. C.
11
2010
Parabolic and hyperbolic contours for computing the Bromwich integral. Zbl 1113.65119
Weideman, J. A. C.; Trefethen, L. N.
75
2007
The kink phenomenon in Fejér and Clenshaw-Curtis quadrature. Zbl 1142.41010
Weideman, J. A. C.; Trefethen, L. N.
18
2007
Talbot quadratures and rational approximations. Zbl 1103.65030
Trefethen, L. N.; Weideman, J. A. C.; Schmelzer, T.
58
2006
Optimizing Talbot’s contours for the inversion of the Laplace transform. Zbl 1131.65105
Weideman, J. A. C.
30
2006
Padé approximations to the logarithm. III: Alternative methods and additional results. Zbl 1108.41011
Driver, Kathy; Prodinger, Helmut; Schneider, Carsten; Weideman, J. A. C.
13
2006
Padé approximations to the logarithm II: Identities, recurrences, and symbolic computation. Zbl 1102.41015
Driver, Kathy; Prodinger, Helmut; Schneider, Carsten; Weideman, J. A. C.
10
2006
Spectral differentiation matrices for the numerical solution of Schrödinger’s equation. Zbl 1117.81051
Weideman, J. A. C.
2
2006
The accuracy of the Chebyshev differencing method for analytic functions. Zbl 1086.65017
Reddy, S. C.; Weideman, J. A. C.
14
2005
Computing special functions via inverse Laplace transforms. Zbl 1088.65517
Weideman, J. A. C.
2
2005
Computing the dynamics of complex singularities of nonlinear PDEs. Zbl 1088.65582
Weideman, J. A. C.
13
2003
Numerical integration of periodic functions: a few examples. Zbl 1022.65027
Weideman, J. A. C.
18
2002
Quadrature rules based on partial fraction expansions. Zbl 0962.65020
Weideman, J. A. C.; Laurie, D. P.
13
2000
Algorithms for parameter selection in the Weeks method for inverting the Laplace transform. Zbl 0944.65137
Weideman, J. A. C.
14
1999
Spectral methods based on nonclassical orthogonal polynomials. Zbl 0939.65102
Weideman, J. A. C.
8
1999
Spectral methods based on nonclassical orthogonal polynomials. Zbl 0953.65057
Weideman, J. André C.
2
1999
A note on an integrable discretization of the nonlinear Schrödinger equation. Zbl 0940.35184
Black, W.; Weideman, J. A. C.; Herbst, B. M.
1
1999
Finite difference methods for an AKNS eigenproblem. Zbl 0870.65069
Weideman, J. A. C.; Herbst, B. M.
1
1997
Computing the Hilbert transform on the real line. Zbl 0830.65127
Weideman, J. A. C.
20
1995
Erratum: Computation of the complex error function. Zbl 0844.65008
Weideman, J. A. C.
2
1995
Computation of the complex error function. Zbl 0832.65011
Weideman, J. A. C.
28
1994
Numerical simulation of solitons and dromions in the Davey-Stewartson system. Zbl 0812.65119
White, P. W.; Weideman, J. A. C.
7
1994
Computing integrals of the complex error function. Zbl 0815.65032
Weideman, J. A. C.
2
1994
The eigenvalues of Hermite and rational spectral differentiation matrices. Zbl 0734.65082
Weideman, J. A. C.
7
1992
An adaptive algorithm for spectral computations on unbounded domains. Zbl 0760.65095
Cloot, A.; Weideman, J. A. C.
7
1992
Two results on polynomial interpolation in equally spaced points. Zbl 0736.41005
Trefethen, L. N.; Weideman, J. A. C.
25
1991
Dynamics of semi-discretizations of the defocusing nonlinear Schrödinger equation. Zbl 0737.65088
Ablowitz, M. J.; Herbst, B. M.; Weideman, J. A. C.
4
1991
Spectral methods and mappings for evolution equations on the infinite line. Zbl 0732.65095
Weideman, J. A. C.; Cloot, A.
14
1990
A numerical study of the nonlinear Schrödinger equation involving quintic terms. Zbl 0685.65110
Cloot, A.; Herbst, B. M.; Weideman, J. A. C.
7
1990
The eigenvalues of second-order spectral differentiation matrices. Zbl 0666.65063
Weideman, J. A. C.; Trefethen, L. N.
43
1988
Recurrence in semidiscrete approximations of the nonlinear Schrödinger equation. Zbl 0646.65088
Weideman, J. A. C.; Herbst, B. M.
5
1987
Split-step methods for the solution of the nonlinear Schrödinger equation. Zbl 0597.76012
Weideman, J. A. C.; Herbst, B. M.
95
1986
On the stability of the nonlinear Schrödinger equation. Zbl 0589.65083
Herbst, B. M.; Mitchell, A. R.; Weideman, J. A. C.
6
1985
all top 5

Cited by 996 Authors

18 Weideman, J. André C.
14 Boyd, John Philip
14 Garrappa, Roberto
14 Trefethen, Lloyd Nicholas
11 Fornberg, Bengt
8 Popolizio, Marina
8 Schneider, Carsten
8 Turner, Ian William
7 Lakoba, Taras I.
7 Nakatsukasa, Yuji
6 Dehghan Takht Fooladi, Mehdi
6 Güttel, Stefan
6 Klein, Christian
6 McLean, William
6 Olver, Sheehan Shakiban
6 Wang, Lilian
5 Barnett, Alex H.
5 Burrage, Kevin
5 Hasegawa, Takemitsu
5 Montanelli, Hadrien
5 Sugiura, Hiroshi
5 Van Deun, Joris
5 Zhang, Zhimin
4 Besse, Christophe
4 Bultheel, Adhemar François
4 Cloot, Alain H. J. J.
4 Gargano, Francesco
4 Reeger, Jonah A.
4 Sammartino, Marco Maria Luigi
4 Sciacca, Vincenzo
4 Shizgal, Bernie D.
4 Slevinsky, Richard Mikaël
4 Uddin, Marjan
4 Wu, Shulin
4 Zeng, Fanhai
3 Abrarov, Sanjar M.
3 Alici, Haydar
3 Avram, Florin
3 Baumann, Gerd
3 Carr, Elliot Joseph
3 Chu, Wenchang
3 Čiegis, Raimondas
3 Clarkson, Peter A.
3 de la Hoz, Francisco
3 Erbay, Hüsnü A.
3 Fasondini, Marco
3 Gauckler, Ludwig J.
3 Greengard, Leslie F.
3 Grinevich, Pëtr Georgievich
3 Gu, Xian-Ming
3 Herbst, Ben M.
3 Huang, Ting-Zhu
3 Huybrechs, Daan
3 Jacobs, Byron A.
3 Jiang, Shidong
3 Kong, Weibin
3 López-Fernández, María
3 Lubich, Christian
3 Ma, Jingtang
3 Mainardi, Francesco
3 Makarov, Volodymyr Leonidovych
3 Méhats, Florian
3 Muslu, Gulcin M.
3 Nasser, Mohamed M. S.
3 Ngounda, Edgard
3 Patidar, Kailash C.
3 Quine, Brendan M.
3 Ryabov, V. M.
3 Santini, Paolo Maria
3 Sheen, Dongwoo
3 Taleei, Ameneh
3 Thomée, Vidar
3 Trogdon, Thomas
3 Vasylyk, Vitaliĭ Borysovych
3 Vuorinen, Matti Keijo Kustaa
3 Wang, Hanquan
3 Wang, Weiping
3 Wu, Xionghua
3 Zhang, Chao
3 Zhou, Zhi
3 Zhou, Zhiqiang
2 Ablowitz, Mark Jay
2 Ali, Amjad
2 Banjai, Lehel
2 Bao, Weizhu
2 Barker, Blake
2 Berrut, Jean-Paul
2 Bidégaray-Fesquet, Brigitte
2 Bornemann, Folkmar A.
2 Bos, Len P.
2 Braun, Stefan
2 Brio, Moysey
2 Campagna, Rosanna
2 Cano, Begoña
2 Carpentieri, Bruno
2 Cassel, Kevin W.
2 Castillo, Paul E.
2 Cayama, Jorge
2 Chartier, Philippe
2 Chen, Heli
...and 896 more Authors
all top 5

Cited in 163 Serials

46 Journal of Computational Physics
46 Journal of Computational and Applied Mathematics
29 Applied Mathematics and Computation
24 Computers & Mathematics with Applications
24 SIAM Journal on Scientific Computing
23 Journal of Scientific Computing
22 Numerische Mathematik
19 Mathematics of Computation
19 Applied Numerical Mathematics
16 Physica D
15 Numerical Algorithms
10 Mathematics and Computers in Simulation
10 SIAM Journal on Numerical Analysis
9 BIT
8 Journal of Fluid Mechanics
8 Numerical Methods for Partial Differential Equations
8 Linear Algebra and its Applications
7 Computer Methods in Applied Mechanics and Engineering
7 Journal of Mathematical Analysis and Applications
7 Communications in Nonlinear Science and Numerical Simulation
6 Computer Physics Communications
6 Constructive Approximation
6 Advances in Computational Mathematics
5 Wave Motion
5 SIAM Journal on Matrix Analysis and Applications
5 Applied Mathematical Modelling
5 The ANZIAM Journal
5 Foundations of Computational Mathematics
5 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
4 Calcolo
4 International Journal of Computer Mathematics
4 The Ramanujan Journal
4 SIAM Journal on Applied Dynamical Systems
4 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
3 American Mathematical Monthly
3 Applicable Analysis
3 Computers and Fluids
3 Lithuanian Mathematical Journal
3 Journal of Approximation Theory
3 Numerical Functional Analysis and Optimization
3 Studies in Applied Mathematics
3 Mathematical and Computer Modelling
3 SIAM Review
3 Nonlinear Dynamics
3 Fractional Calculus & Applied Analysis
3 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
2 International Journal for Numerical Methods in Fluids
2 Journal of Engineering Mathematics
2 Journal of Mathematical Physics
2 Mathematical Methods in the Applied Sciences
2 Ukrainian Mathematical Journal
2 ACM Transactions on Mathematical Software
2 Journal of Differential Equations
2 Ricerche di Matematica
2 Acta Applicandae Mathematicae
2 Applied Mathematics Letters
2 European Journal of Applied Mathematics
2 SIAM Journal on Applied Mathematics
2 Vestnik St. Petersburg University. Mathematics
2 Applied and Computational Harmonic Analysis
2 Numerical Linear Algebra with Applications
2 ETNA. Electronic Transactions on Numerical Analysis
2 Integral Transforms and Special Functions
2 Engineering Analysis with Boundary Elements
2 Abstract and Applied Analysis
2 Journal of Inequalities and Applications
2 Chaos
2 Discrete Dynamics in Nature and Society
2 Methodology and Computing in Applied Probability
2 Journal of Modern Optics
2 Random Matrices: Theory and Applications
2 Journal of Computational Methods in Physics
2 AMM. Applied Mathematics and Mechanics. (English Edition)
1 Communications in Mathematical Physics
1 Communications on Pure and Applied Mathematics
1 Discrete Mathematics
1 Inverse Problems
1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
1 Mathematical Biosciences
1 Nonlinearity
1 Physics Letters. A
1 Russian Mathematical Surveys
1 Theoretical and Mathematical Physics
1 Chaos, Solitons and Fractals
1 Computing
1 International Journal for Numerical Methods in Engineering
1 Journal of Functional Analysis
1 Journal of Number Theory
1 Journal of Optimization Theory and Applications
1 Journal of Pure and Applied Algebra
1 Mathematics of Operations Research
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Optimal Control Applications & Methods
1 Advances in Applied Mathematics
1 Chinese Annals of Mathematics. Series B
1 Annals of Pure and Applied Logic
1 Journal of Symbolic Computation
1 Journal of Complexity
1 Journal of Integral Equations and Applications
1 Japan Journal of Industrial and Applied Mathematics
...and 63 more Serials
all top 5

Cited in 45 Fields

446 Numerical analysis (65-XX)
213 Partial differential equations (35-XX)
84 Approximations and expansions (41-XX)
60 Ordinary differential equations (34-XX)
60 Fluid mechanics (76-XX)
54 Special functions (33-XX)
41 Integral transforms, operational calculus (44-XX)
31 Dynamical systems and ergodic theory (37-XX)
28 Functions of a complex variable (30-XX)
26 Optics, electromagnetic theory (78-XX)
24 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
22 Real functions (26-XX)
20 Linear and multilinear algebra; matrix theory (15-XX)
20 Harmonic analysis on Euclidean spaces (42-XX)
19 Probability theory and stochastic processes (60-XX)
16 Mechanics of deformable solids (74-XX)
16 Quantum theory (81-XX)
16 Statistical mechanics, structure of matter (82-XX)
12 Computer science (68-XX)
10 Integral equations (45-XX)
9 Combinatorics (05-XX)
9 Mechanics of particles and systems (70-XX)
8 Number theory (11-XX)
8 Statistics (62-XX)
8 Biology and other natural sciences (92-XX)
7 Classical thermodynamics, heat transfer (80-XX)
6 Potential theory (31-XX)
6 Operator theory (47-XX)
6 Systems theory; control (93-XX)
6 Information and communication theory, circuits (94-XX)
5 Calculus of variations and optimal control; optimization (49-XX)
5 Geophysics (86-XX)
3 Difference and functional equations (39-XX)
3 Sequences, series, summability (40-XX)
3 Global analysis, analysis on manifolds (58-XX)
2 Mathematical logic and foundations (03-XX)
2 Field theory and polynomials (12-XX)
2 Algebraic geometry (14-XX)
2 Functional analysis (46-XX)
1 General and overarching topics; collections (00-XX)
1 History and biography (01-XX)
1 Commutative algebra (13-XX)
1 Convex and discrete geometry (52-XX)
1 Relativity and gravitational theory (83-XX)
1 Operations research, mathematical programming (90-XX)

Citations by Year