Prof BM Herbst
Prof BM Herbst
Professor in Applied Mathematics, University of Stellenbosch, South Africa
Verified email at praelexis.com
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
4211986
On the extension of the Painlevé property to difference equations
MJ Ablowitz, R Halburd, B Herbst
Nonlinearity 13 (3), 889, 2000
2612000
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), 1-13, 2004
2282004
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
2201990
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
1911996
Numerically induced chaos in the nonlinear Schrödinger equation
BM Herbst, MJ Ablowitz
Physical Review Letters 62 (18), 2065, 1989
1881989
Singular value decomposition, eigenfaces, and 3D reconstructions
N Muller, L Magaia, BM Herbst
SIAM review 46 (3), 518-545, 2004
1062004
Numerical experience with the nonlinear Schrödinger equation
BM Herbst, JL Morris, AR Mitchell
Journal of Computational Physics 60 (2), 282-305, 1985
771985
Numerical chaos, roundoff errors, and homoclinic manifolds
MJ Ablowitz, C Schober, BM Herbst
Physical review letters 71 (17), 2683, 1993
701993
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
642005
On the Numerical Solution of the Sine–Gordon Equation
MJ Ablowitz, BM Herbst, CM Schober
Journal of Computational Physics 131 (2), 354-367, 1997
631997
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
601982
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
562008
Analytical visualization techniques for security information and event management
E Novikova, I Kotenko
2013 21st Euromicro International Conference on Parallel, Distributed, and …, 2013
552013
Numerical chaos, symplectic integrators, and exponentially small splitting distances
BM Herbst, MJ Ablowitz
Journal of Computational Physics 105 (1), 122-132, 1993
451993
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
441996
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
432008
Symplectic methods for the nonlinear Schrödinger equation
BM Herbst, F Varadi, MJ Ablowitz
Mathematics and Computers in simulation 37 (4-5), 353-369, 1994
431994
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
391990
Equidistributing principles in moving finite element methods
BM Herbst, SW Schoombie, AR Mitchell
Journal of computational and applied mathematics 9 (4), 377-389, 1983
371983
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