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Herbst, Barend M.

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Author ID: herbst.barend-m Recent zbMATH articles by "Herbst, Barend M."
Published as: Herbst, B. M.; Herbst, Barend M.; Herbst, B.
Documents Indexed: 44 Publications since 1979

Publications by Year

Citations contained in zbMATH Open

35 Publications have been cited 549 times in 13 Documents Cited by Year
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 extension of the Painlevé property to difference equations. Zbl 0956.39003
Ablowitz, M. J.; Halburd, R.; Herbst, B.
93
2000
On the numerical solution of the sine-Gordon equation. I: Integrable discretizations and homoclinic manifolds. Zbl 0866.65064
Ablowitz, M. J.; Herbst, B. M.; Schober, Constance
65
1996
On homoclinic structure and numerically induced chaos for the nonlinear Schrödinger equation. Zbl 0707.35141
Ablowitz, Mark J.; Herbst, B. M.
52
1990
Numerical experience with the nonlinear Schrödinger equation. Zbl 0589.65084
Herbst, B. M.; Morris, J. Ll.; Mitchell, A. R.
26
1985
On the numerical solution of the sine-Gordon equation. II: Performance of numerical schemes. Zbl 0874.65076
Ablowitz, M. J.; Herbst, B. M.; Schober, C. M.
25
1997
A moving Petrov-Galerkin method for transport equations. Zbl 0485.65093
Herbst, B. M.; Schoombie, S. W.; Mitchell, A. R.
24
1982
Numerical homoclinic instabilities and the complex modified Korteweg-de Vries equation. Zbl 0900.65350
Herbst, B. M.; Ablowitz, Mark J.; Ryan, E.
24
1991
Numerical simulation of quasi-periodic solutions of the sine-Gordon equation. Zbl 1194.65121
Ablowitz, Mark J.; Herbst, B. M.; Schober, Constance M.
14
1995
Direct methods and symbolic software for conservation laws of nonlinear equations. Zbl 1210.35164
Hereman, Willy; Adams, Paul J.; Eklund, Holly L.; Hickman, Mark S.; Herbst, Barend M.
13
2009
Numerical homoclinic instabilities in the sine-Gordon equation. Zbl 0785.65086
Herbst, B. M.; Ablowitz, M. J.
11
1992
Singular value decomposition, eigenfaces, and 3D reconstructions. Zbl 1061.65033
Muller, Neil; Magaia, Lourenço; Herbst, B. M.
11
2004
Symplectic methods for the nonlinear Schrödinger equation. Zbl 0812.65118
Herbst, B. M.; Varadi, F.; Ablowitz, M. J.
10
1994
Generalized Petrov-Galerkin methods for the numerical solution of Burgers’ equation. Zbl 0546.65078
Herbst, B. M.; Schoombie, S. W.; Griffiths, D. F.; Mitchell, A. R.
9
1984
Discretizations, integrable systems and computation. Zbl 0991.65137
Ablowitz, M. J.; Herbst, B. M.; Schober, C. M.
8
2001
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
Dubuc–Deslauriers subdivision for finite sequences and interpolation wavelets on an interval. Zbl 1047.65121
de Villiers, J. M.; Goosen, K. M.; Herbst, B. M.
7
2003
On the numerical solution of the cubic Schrödinger equation in one space variable. Zbl 0766.65112
Robinson, M. P.; Fairweather, G.; Herbst, B. M.
6
1993
Numerical chaos, symplectic integrators, and exponentially small splitting distances. Zbl 0772.65084
Herbst, B. M.; Ablowitz, Mark J.
6
1993
Equidistributing principles in moving finite element methods. Zbl 0532.65074
Herbst, B. M.; Schoombie, S. W.; Mitchell, A. R.
6
1983
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
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
The nonlinear Schrödinger equation: Asymmetric perturbations, traveling waves and chaotic structures. Zbl 0869.68125
Ablowitz, M. J.; Herbst, B. M.; Schober, C. M.
4
1997
Analytical instability of the Klein-Gordon equation. Zbl 0634.76047
Cloot, A. H. J.; Herbst, B. M.
3
1988
On homoclinic boundaries in the nonlinear Schrödinger equation. Zbl 0736.35105
Ablowitz, Mark J.; Herbst, B. M.
2
1990
On numerical chaos in the nonlinear Schrödinger equation. Zbl 0711.35131
Herbst, B. M.; Ablowitz, Mark J.
2
1989
Nonlinear evolution equations, solitons, chaos and cellular automata. Zbl 0728.35102
Ablowitz, M. J.; Herbst, B. M.; Keiser, J. M.
2
1990
Integrability, computation and applications. Zbl 0832.58019
Ablowitz, M. J.; Chakravarty, S.; Herbst, B. M.
2
1995
On the numerics of integrable discretizations. Zbl 0856.65107
Ablowitz, M. J.; Herbst, B. M.; Schober, C.
2
1996
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
Numerical evidence of exponentially small splitting distances in symplectic discretizations of planar Hamiltonian systems. Zbl 0941.37504
Herbst, B. M.
1
1992
Finite difference methods for an AKNS eigenproblem. Zbl 0870.65069
Weideman, J. A. C.; Herbst, B. M.
1
1997
A numerical study of the large-period limit of a Zakharov-Shabat eigenvalue problem with periodic potentials. Zbl 1258.37068
Olivier, C. P.; Herbst, B. M.; Molchan, M. A.
1
2012
A model for the propagation of rounding error in a Klein-Gordon equation. Zbl 0683.65105
Cloot, A.; Herbst, B. M.
1
1989
A numerical study of the large-period limit of a Zakharov-Shabat eigenvalue problem with periodic potentials. Zbl 1258.37068
Olivier, C. P.; Herbst, B. M.; Molchan, M. A.
1
2012
Direct methods and symbolic software for conservation laws of nonlinear equations. Zbl 1210.35164
Hereman, Willy; Adams, Paul J.; Eklund, Holly L.; Hickman, Mark S.; Herbst, Barend M.
13
2009
Singular value decomposition, eigenfaces, and 3D reconstructions. Zbl 1061.65033
Muller, Neil; Magaia, Lourenço; Herbst, B. M.
11
2004
Dubuc–Deslauriers subdivision for finite sequences and interpolation wavelets on an interval. Zbl 1047.65121
de Villiers, J. M.; Goosen, K. M.; Herbst, B. M.
7
2003
Discretizations, integrable systems and computation. Zbl 0991.65137
Ablowitz, M. J.; Herbst, B. M.; Schober, C. M.
8
2001
On the extension of the Painlevé property to difference equations. Zbl 0956.39003
Ablowitz, M. J.; Halburd, R.; Herbst, B.
93
2000
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
On the numerical solution of the sine-Gordon equation. II: Performance of numerical schemes. Zbl 0874.65076
Ablowitz, M. J.; Herbst, B. M.; Schober, C. M.
25
1997
The nonlinear Schrödinger equation: Asymmetric perturbations, traveling waves and chaotic structures. Zbl 0869.68125
Ablowitz, M. J.; Herbst, B. M.; Schober, C. M.
4
1997
Finite difference methods for an AKNS eigenproblem. Zbl 0870.65069
Weideman, J. A. C.; Herbst, B. M.
1
1997
On the numerical solution of the sine-Gordon equation. I: Integrable discretizations and homoclinic manifolds. Zbl 0866.65064
Ablowitz, M. J.; Herbst, B. M.; Schober, Constance
65
1996
On the numerics of integrable discretizations. Zbl 0856.65107
Ablowitz, M. J.; Herbst, B. M.; Schober, C.
2
1996
Numerical simulation of quasi-periodic solutions of the sine-Gordon equation. Zbl 1194.65121
Ablowitz, Mark J.; Herbst, B. M.; Schober, Constance M.
14
1995
Integrability, computation and applications. Zbl 0832.58019
Ablowitz, M. J.; Chakravarty, S.; Herbst, B. M.
2
1995
Symplectic methods for the nonlinear Schrödinger equation. Zbl 0812.65118
Herbst, B. M.; Varadi, F.; Ablowitz, M. J.
10
1994
On the numerical solution of the cubic Schrödinger equation in one space variable. Zbl 0766.65112
Robinson, M. P.; Fairweather, G.; Herbst, B. M.
6
1993
Numerical chaos, symplectic integrators, and exponentially small splitting distances. Zbl 0772.65084
Herbst, B. M.; Ablowitz, Mark J.
6
1993
Numerical homoclinic instabilities in the sine-Gordon equation. Zbl 0785.65086
Herbst, B. M.; Ablowitz, M. J.
11
1992
Numerical evidence of exponentially small splitting distances in symplectic discretizations of planar Hamiltonian systems. Zbl 0941.37504
Herbst, B. M.
1
1992
Numerical homoclinic instabilities and the complex modified Korteweg-de Vries equation. Zbl 0900.65350
Herbst, B. M.; Ablowitz, Mark J.; Ryan, E.
24
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
On homoclinic structure and numerically induced chaos for the nonlinear Schrödinger equation. Zbl 0707.35141
Ablowitz, Mark J.; Herbst, B. M.
52
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
On homoclinic boundaries in the nonlinear Schrödinger equation. Zbl 0736.35105
Ablowitz, Mark J.; Herbst, B. M.
2
1990
Nonlinear evolution equations, solitons, chaos and cellular automata. Zbl 0728.35102
Ablowitz, M. J.; Herbst, B. M.; Keiser, J. M.
2
1990
On numerical chaos in the nonlinear Schrödinger equation. Zbl 0711.35131
Herbst, B. M.; Ablowitz, Mark J.
2
1989
A model for the propagation of rounding error in a Klein-Gordon equation. Zbl 0683.65105
Cloot, A.; Herbst, B. M.
1
1989
Analytical instability of the Klein-Gordon equation. Zbl 0634.76047
Cloot, A. H. J.; Herbst, B. M.
3
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
Numerical experience with the nonlinear Schrödinger equation. Zbl 0589.65084
Herbst, B. M.; Morris, J. Ll.; Mitchell, A. R.
26
1985
On the stability of the nonlinear Schrödinger equation. Zbl 0589.65083
Herbst, B. M.; Mitchell, A. R.; Weideman, J. A. C.
6
1985
Generalized Petrov-Galerkin methods for the numerical solution of Burgers’ equation. Zbl 0546.65078
Herbst, B. M.; Schoombie, S. W.; Griffiths, D. F.; Mitchell, A. R.
9
1984
Equidistributing principles in moving finite element methods. Zbl 0532.65074
Herbst, B. M.; Schoombie, S. W.; Mitchell, A. R.
6
1983
A moving Petrov-Galerkin method for transport equations. Zbl 0485.65093
Herbst, B. M.; Schoombie, S. W.; Mitchell, A. R.
24
1982

Citations by Year