Dr. Sultan Sial
Associate Professor
Syed Babar Ali School of Science and Engineering
Dr Sultan Sial received the MSc. Mathematics degree from Carleton University and the PhD. degree in Applied Mathematics from University of Western Ontario, Canada in 1992 and 1997. Prior to joining LUMS, he has been associated with University of Toronto, University of Western Ontario, Trent University, and Los Alamos National Lab (LANL). Dr Sial also has corporate sector experience; he has been the Vice President (Research) of Heuchera Technologies, and Vogelfrei Analytics. He has several publications, a book and book chapter in leading international journals.
| Title | Publication | Author | Year |
|---|---|---|---|
| A study on single-iteration sobolev descent for linear initial value problems | Optical and Quantum Electronics | 2021 | |
| Polynomial solution of singular differential equations using Weighted Sobolev gradients | International Journal of Computer Mathematics | 2020 | |
| Optical solitons for coupled Fokas-Lenells equation in birefringence fibers | Modern Physics Letters B | 2019 | |
| New combo and dipole solitons in multiple-core couplers with dual dispersion | Optik | 2018 | |
| On solitons: the biomolecular nonlinear transmission line models with constant and time variable coefficients | Waves in Random and Complex Media | 2018 | |
| New exact periodic elliptic wave solutions for extended quantum Zakharov???Kuznetsov equation | Optical and Quantum Electronics | 2018 | |
| New optical solitons of Tzitze??ca type evolution equations using extended trial approach | Optical and Quantum Electronics | 2018 | |
| Exact periodic and explicit solutions of higher dimensional equations with fractional temporal evolution | Optik | 2018 | |
| Numerical approximation of time evolution related to Ginzburg-Landau functionals using weighted Sobolev gradients | Computers and Mathematics with Applications | 2014 | |
| Numerical solutions of integro-differential equations using Sobolev gradient methods | International Journal of Computational Methods | 2012 | |
| Analytic solutions and conserved quantities of wave equation on torus | Computers and Mathematics with Applications | 2012 | |
| Numerical solution of Burgers' equation by the Sobolev gradient method | Applied Mathematics and Computation | 2011 | |
| Approximate solutions to Poisson-Boltzmann systems with Sobolev gradients | Journal of Computational Physics | 2011 | |
| Approximating time evolution related to Ginzburg-Landau functionals via Sobolev gradient methods in a finite-element setting | Journal of Computational Physics | 2010 | |
| Application of Sobolev gradient method to Poisson-Boltzmann system | Journal of Computational Physics | 2010 | |
| Ginzburg-Landau Separation Problems | Lecture Notes in Mathematics | 2010 | |
| Simulation study of propagation of pulses in optical fiber communication systems using Sobolev gradient and split-step Fourier methods | International Journal of Computational Methods | 2009 | |
| Sobolev gradient approach for the time evolution related to energy minimization of Ginzburg-Landau functionals | Journal of Computational Physics | 2009 | |
| Energy minimization related to the nonlinear Schr??dinger equation | Journal of Computational Physics | 2009 | |
| Recursive form of Sobolev gradient method for ODEs on long intervals | International Journal of Computer Mathematics | 2008 | |
| A Sobolev gradient algorithm for minimum energy states of s-wave superconductors - Finite element setting | Superconductor Science and Technology | 2005 | |
| Energy minimization using Sobolev gradients: Application to phase separation and ordering | Journal of Computational Physics | 2003 | |
| A gas kinetic method for binary fluids and surfactant systems | Physica A: Statistical Mechanics and its Applications | 1998 |