Prof BM Herbst
Prof BM Herbst
Professor in Applied Mathematics, University of Stellenbosch, South Africa
No verified email
Title
Cited by
Cited by
Year
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
4021986
On the extension of the Painlevé property to difference equations
MJ Ablowitz, R Halburd, B Herbst
Nonlinearity 13 (3), 889, 2000
2552000
Offline signature verification using the discrete radon transform and a hidden Markov model
J Coetzer, BM Herbst, JA du Preez
EURASIP Journal on Advances in Signal Processing 2004 (4), 925026, 2004
2152004
On homoclinic structure and numerically induced chaos for the nonlinear Schrödinger equation
MJ Ablowitz, BM Herbst
SIAM Journal on Applied Mathematics 50 (2), 339-351, 1990
2091990
On the numerical solution of the sine–Gordon equation: I. Integrable discretizations and homoclinic manifolds
MJ Ablowitz, BM Herbst, C Schober
Journal of Computational Physics 126 (2), 299-314, 1996
1871996
Numerically induced chaos in the nonlinear Schrödinger equation
BM Herbst, MJ Ablowitz
Physical Review Letters 62 (18), 2065, 1989
1831989
Singular value decomposition, eigenfaces, and 3D reconstructions
N Muller, L Magaia, BM Herbst
SIAM review 46 (3), 518-545, 2004
962004
Numerical experience with the nonlinear Schrödinger equation
BM Herbst, JL Morris, AR Mitchell
Journal of Computational Physics 60 (2), 282-305, 1985
701985
Numerical chaos, roundoff errors, and homoclinic manifolds
MJ Ablowitz, C Schober, BM Herbst
Physical review letters 71 (17), 2683, 1993
691993
On the Numerical Solution of the Sine–Gordon Equation
MJ Ablowitz, BM Herbst, CM Schober
Journal of Computational Physics 131 (2), 354-367, 1997
651997
A moving Petrov‐Galerkin method for transport equations
BM Herbst, SW Schoomnbie, AR Mitchell
International Journal for Numerical Methods in Engineering 18 (9), 1321-1336, 1982
591982
Estimating the pen trajectories of static signatures using hidden Markov models
EM Nel, JA Du Preez, BM Herbst
IEEE transactions on pattern analysis and machine intelligence 27 (11), 1733 …, 2005
572005
Direct methods and symbolic software for conservation laws of nonlinear equations
W Hereman, PJ Adams, HL Eklund, MS Hickman, BM Herbst
arXiv preprint arXiv:0803.0083, 2008
442008
Numerical chaos, symplectic integrators, and exponentially small splitting distances
BM Herbst, MJ Ablowitz
Journal of Computational Physics 105 (1), 122-132, 1993
431993
Symplectic methods for the nonlinear Schrödinger equation
BM Herbst, F Varadi, MJ Ablowitz
Mathematics and Computers in simulation 37 (4-5), 353-369, 1994
421994
Computational chaos in the nonlinear Schrödinger equation without homoclinic crossings
MJ Ablowitz, BM Herbst, CM Schober
Physica A: Statistical Mechanics and its Applications 228 (1-4), 212-235, 1996
401996
An introduction to diffusion maps
J De la Porte, BM Herbst, W Hereman, SJ Van Der Walt
Proceedings of the 19th Symposium of the Pattern Recognition Association of …, 2008
382008
A numerical study of the nonlinear Schrödinger equation involving quintic terms
A Cloot, BM Herbst, JAC Weideman
Journal of computational physics 86 (1), 127-146, 1990
351990
Equidistributing principles in moving finite element methods
BM Herbst, SW Schoombie, AR Mitchell
Journal of computational and applied mathematics 9 (4), 377-389, 1983
341983
Dubuc--Deslauriers Subdivision for Finite Sequences and Interpolation Wavelets on an Interval
JM De Villiers, KM Goosen, BM Herbst
SIAM journal on mathematical analysis 35 (2), 423-452, 2003
322003
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