Faculty Profile

Dr. Sultan Sial

Associate Professor

Department Of Mathematics

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.

Exact periodic and explicit solutions of higher dimensional equations with fractional temporal evolutionOptikRaza N., Sial S., Kaplan M.2018
New optical solitons of Tzitze??ca type evolution equations using extended trial approachOptical and Quantum ElectronicsRaza N., Aslam M.R., Sial S.2018
On solitons: the biomolecular nonlinear transmission line models with constant and time variable coefficientsWaves in Random and Complex MediaRaza N., Murtaza I.G., Sial S., Younis M.2017
Numerical approximation of time evolution related to Ginzburg-Landau functionals using weighted Sobolev gradientsComputers and Mathematics with ApplicationsRaza N., Sial S., Butt A.R.2014
Numerical solutions of integro-differential equations using Sobolev gradient methodsInternational Journal of Computational MethodsRaza N., Sial S., Neuberger J.W., Ahmad M.O.2012
Analytic solutions and conserved quantities of wave equation on torusComputers and Mathematics with ApplicationsJhangeer A., Qureshi M.N., Sial S., Sharif S.2012
Numerical solution of Burgers' equation by the Sobolev gradient methodApplied Mathematics and ComputationRaza N., Sial S., Neuberger J.W.2011
Approximate solutions to Poisson-Boltzmann systems with Sobolev gradientsJournal of Computational PhysicsMajid A., Sial S.2011
Application of Sobolev gradient method to Poisson-Boltzmann systemJournal of Computational PhysicsMajid A., Sial S.2010
Approximating time evolution related to Ginzburg-Landau functionals via Sobolev gradient methods in a finite-element settingJournal of Computational PhysicsRaza N., Sial S., Siddiqi S.2010
Simulation study of propagation of pulses in optical fiber communication systems using Sobolev gradient and split-step Fourier methodsInternational Journal of Computational MethodsRaza N., Sial S., Siddiqi S.S.2009
Sobolev gradient approach for the time evolution related to energy minimization of Ginzburg-Landau functionalsJournal of Computational PhysicsRaza N., Sial S., Siddiqi S.S.2009
Energy minimization related to the nonlinear Schr??dinger equationJournal of Computational PhysicsRaza N., Sial S., Siddiqi S.S., Lookman T.2009
Recursive form of Sobolev gradient method for ODEs on long intervalsInternational Journal of Computer MathematicsMujeeb D., Neuberger J.W., Sial S.2008
A Sobolev gradient algorithm for minimum energy states of s-wave superconductors - Finite element settingSuperconductor Science and TechnologySial S.2005
Energy minimization using Sobolev gradients: Application to phase separation and orderingJournal of Computational PhysicsSial S., Neuberger J., Lookman T., Saxena A.2003
A gas kinetic method for binary fluids and surfactant systemsPhysica A: Statistical Mechanics and its ApplicationsSial S., Lookman T.1998
Summer Semester 2017-18Doctoral Thesis Research1703
Summer Semester 2017-18Calculus-I1703
Spring Semester 2017-18Doctoral Thesis Research1702
Fall Semester 2017-18Introduction to Formal Mathematics1701
Fall Semester 2017-18Probability1701
Fall Semester 2017-18Calculus-II1701
Summer Semester 2016-17Doctoral Thesis Research1603
Spring Semester 2016-17Scientific Computation1602
Spring Semester 2016-17Scientific Computation and Simulation1602
Fall Semester 2016-17Calculus-I1601
Fall Semester 2016-17Calculus-I1601
Fall Semester 2016-17Mathematical Modeling with Applications1601
Summer Semester 2015-16Linear Algebra with Differential Equations1503
Spring Semester 2015-16Advanced Calculus1502
Fall Semester 2015-16Calculus-I1501
Spring Semester 2014-15Advanced Applied Stochastic Process1402
Spring Semester 2014-15Linear Algebra with Differential Equations1402
Spring Semester 2014-15Applied Stochastic Processes1402
  • Past Courses
    Fall Semester 2013-14Senior Project I1301
    Fall Semester 2013-14Calculus-I1301
    Spring Semester 2012-13Computational Physics1202
    Spring Semester 2012-13Computational Physics1202
    Spring Semester 2012-13Senior Project I1202
    Spring Semester 2012-13Probability1202
    Spring Semester 2012-13Calculus-II1202
    Fall Semester 2012-13Senior Project I1201
    Fall Semester 2012-13Probability1201
    Fall Semester 2012-13Calculus-I1201
    Summer Semester 2011-12Independent Study1103
    Summer Semester 2011-12Independent Study1103
    Spring Semester 2011-12Senior Project II1102
    Spring Semester 2011-12Calculus-II1102
    Fall Semester 2011-12Calculus-I1101
    Summer Semester 2010-11Independent Study1003
    Spring Semester 2010-11Complex Variables1002
    Spring Semester 2010-11Calculus 31002
    Spring Semester 2010-11Calculus-II1002
    Spring Semester 2010-11Calculus-I1002
    Fall Semester 2010-11PhD Reading course Numerical Techniques1001
    Summer Semester 2009-10Research Units903
    Summer Semester 2009-10Independent Study903
    Spring Semester 2009-10Research Units902
    Spring Semester 2009-10Calculus 3902
    Spring Semester 2009-10Calculus-II902
    Fall Semester 2009-10Research Units901
    Fall Semester 2009-10Mathematical Methods901
    Fall Semester 2009-10Calculus-I901
    Term II 2008-2009Practical Quantitative Finance820
    Summer Qtr 2008-09PHD Research Units804
    Spring Qtr 2008-2009Calculus 3803
    Winter Qtr 2008-09Calculus 2802
    Winter Qtr 2008-09Money and Banking802
    Spring Qtr 2007-08Research VI703
    Spring Qtr 2007-08Relativity703
    Spring Qtr 2007-08Probability703
    Spring Qtr 2007-08MATH Independent Study II703
    Spring Qtr 2007-08MATH Independent Study I703
    Spring Qtr 2007-08Trade and Development703
    Winter Qtr 2007-08Research Units V702
    Winter Qtr 2007-08Operator Theory I702
    Winter Qtr 2007-08Calculus-II702
    Winter Qtr 2007-08Calculus-I702
    Autumn Qtr 2007-08Research Units IV701
    Autumn Qtr 2007-08Mechanics701
    Autumn Qtr 2007-08MATH Independent Study II701
    Autumn Qtr 2007-08Calculus-I701
    Summer Qtr 2006-07MATH Independent Study II604
    Summer Qtr 2006-07MATH Independent Study I604
    Spring Qtr 2006-07Differential Forms in Algebric603
    Spring Qtr 2006-07MATH Independent Study I603
    Winter Qtr 2006-07Probability602
    Winter Qtr 2006-07Calculus-I602
    Autumn Qtr 2006-07PhD Reading Course - Integer Partitions601
    Autumn Qtr 2006-07Calculus-I601
    Autumn Qtr 2006-07Pre-calculus601
    Spring Qtr 2005-06Mathematical Methods503
    Winter Qtr 2005-06Waves and Oscillations502
    Winter Qtr 2005-06Money and Banking502
    Autumn Qtr 2005-06PhD Reading Course - Mathematical Biology501
    Autumn Qtr 2005-06Probability501
    Autumn Qtr 2005-06Pre-calculus501
    Spring Qtr 2004-05Stochastic Processes403
    Spring Qtr 2004-05Mathematical Methods403
    Winter Qtr 2004-05Generalised Tensors with Applications402
    Autumn Qtr 2004-05Probability401
    Autumn Qtr 2004-05Ordinary Differential Equations401