An upper bound on the minimal total cost of the transportation problem with varying demands and supplies F Xie, MM Butt, Z Li, L Zhu Omega 68, 105-118, 2017 | 30 | 2017 |
A feasible flow-based iterative algorithm for the two-level hierarchical time minimization transportation problem F Xie, MM Butt, Z Li Computers & Operations Research 86, 124-139, 2017 | 19 | 2017 |
Formulation and multigrid solution of Cauchy-Riemann optimal control problems MM Butt, A Borzì Computing and visualization in science 14, 79-90, 2011 | 11 | 2011 |
A multigrid solver for Stokes control problems MM Butt International Journal of Computer Mathematics 94 (12), 2297-2314, 2017 | 9 | 2017 |
A full multigrid method for distributed control problems constrained by Stokes equations MM Butt, Y Yuan Numerical Mathematics: Theory, Methods and Applications 10 (3), 639-655, 2017 | 9 | 2017 |
Two-level difference scheme for the two-dimensional Fokker–Planck equation MM Butt Mathematics and Computers in Simulation 180, 276-288, 2021 | 8 | 2021 |
Numerical methods for heat equation with variable coefficients MM Butt, MSA Taj International Journal of Computer Mathematics 86 (9), 1612-1623, 2009 | 7 | 2009 |
On Multigrid Solver for Generalized Stokes Equations. MM Butt Punjab University Journal of Mathematics 50 (3), 2018 | 5 | 2018 |
Fifth-order numerical methods for heat equation subject to a boundary integral specification. MA Rehman, MSA Taj, MM Butt Acta Mathematica Universitatis Comenianae. New Series 79 (1), 89-104, 2010 | 4 | 2010 |
Two-level method for a time-independent Fokker–Planck control problem M Munir Butt International Journal of Computer Mathematics 98 (8), 1542-1560, 2021 | 3 | 2021 |
Numerical solution to 3D bilinear Fokker–Planck control problem MM Butt International Journal of Computer Mathematics 99 (12), 2466-2481, 2022 | 2 | 2022 |
Multigrid method for optimal control problem constrained by stochastic Stokes equations with noise MM Butt Mathematics 9 (7), 738, 2021 | 2 | 2021 |
A full multigrid solution of control-constrained Cauchy–Riemann optimal control problems MM Butt, A Borzì Walter de Gruyter GmbH & Co. KG 19 (3), 189-214, 2011 | 2 | 2011 |
A multigrid solver for control-constrained Navier-Stokes control problems MM Butt Acta Mathematica Universitatis Comenianae 89 (2), 261-277, 2020 | 1 | 2020 |
A numerical scheme to solve Fokker–Planck control collective-motion problem MM Butt, S Roy Mathematics and Computers in Simulation, 2023 | | 2023 |
On a multigrid solver for stationary Navier–Stokes velocity–pressure tracking-type control problems MM Butt Mathematics and Computers in Simulation 192, 246-264, 2022 | | 2022 |
Formulation and multigrid solution of Cauchy-Riemann optimal control problems/vorgelegt von Muhammad Munir Butt MM Butt | | |