A numerical scheme to solve Fokker–Planck control collective-motion problem
November 01, 2024
Muhammad Munir Butt, S. Roy,
Mathematics and Computers in Simulation - Volume 225, Pages 1056-1071
Numerical solution to 3D bilinear Fokker–Planck control problem
December 01, 2022
Muhammad Munir Butt,
International Journal of Computer Mathematics - Volume 99, Issue 12, Pages 2466-2481
On a multigrid solver for stationary Navier–Stokes velocity–pressure tracking-type control problems
February 01, 2022
Muhammad Munir Butt,
Mathematics and Computers in Simulation - Volume 192, Pages 246-264
Two-level method for a time-independent Fokker–Planck control problem
August 01, 2021
Muhammad Munir Butt,
International Journal of Computer Mathematics - Volume:98, Issue:8, Page:1542-1560
Multigrid method for optimal control problem constrained by stochastic stokes equations with noise
March 29, 2021
Muhammad Munir Butt,
Mathematics - Volume 9, Issue 7, Article Number 738
Two-level difference scheme for the two-dimensional Fokker–Planck equation
February 01, 2021
Muhammad Munir Butt,
Mathematics and Computers in Simulation - Volume:180, Pages:276-288
A multigrid solver for Stokes control problems
December 02, 2017
Muhammad Munir Butt,
International Journal of Computer Mathematics - Volume 94, Issue 12, Pages 2297-2314
A feasible flow-based iterative algorithm for the two-level hierarchical time minimization transportation problem
October 01, 2017
Fanrong Xie, Muhammad Munir Butt, Zuoan Li,
Computers and Operations Research - Volume 86, Pages 124-139
A Full Multigrid Method for Distributed Control Problems Constrained by Stokes Equations
August 01, 2017
Muhammad Munir Butt, Y. Yuan,
Numerical Mathematics - Volume 10, Issue 3, Pages 639-655
An upper bound on the minimal total cost of the transportation problem with varying demands and supplies
April 01, 2017
Fanrong Xie, Muhammad Munir Butt, ZuoanLi, LinzhiZhu,
Omega - Volume 68, Pages105-118
Formulation and multigrid solution of Cauchy-Riemann optimal control problems
November 18, 2011
Muhammad Munir Butt, Alfio Borzi,
Computing and Visualization in Science - Volume 14, Issue 2, Pages 79-90
A full multigrid solution of control-constrained CauchyRiemann optimal control problems
November 15, 2011
Muhammad Munir Butt, Alfio Borzi,
Journal of Numerical Mathematics - Volume 19, Issue 3, Pages 189-214
Numerical methods for heat equation with variable coefficients
September 01, 2009
M.M. Butt, M.S.A. Taj,
International Journal of Computer Mathematics - Volume 86, Issue 9, Pages 1612-1623