Mathematical studies of Poisson-Nernst-Planck systems: dynamics of ionic flows without electroneutrality conditions R Aitbayev, PW Bates, H Lu, L Zhang, M Zhang J. Comput. Appl. Math 362, 510-527, 2019 | 12 | 2019 |
Parallel two-level methods for three-dimensional transonic compressible flow simulations on unstructured meshes R Aitbayev, XC Cai, M Paraschivoiu Proceedings of Parallel CFD 99, 23-26, 2000 | 11 | 2000 |
Existence and uniqueness for a two-point interface boundary value problem R Aitbayev Electron. J. Differ. Equ 242, 2013, 2013 | 10 | 2013 |
Mathematical studies of Poisson–Nernst–Planck model for membrane channels: finite ion size effects without electroneutrality boundary conditions R Aitbayev, PW Bates, H Lu, L Zhang, M Zhang Journal of Computational and Applied Mathematics 362, 510-527, 2019 | 7 | 2019 |
Three-dimensional non-linear rotating surface waves in channels of variable depth in the presence of formation of a small perturbation of atmospheric pressure across the channel NH Ibragimov, R Aitbayev, RN Ibragimov Communications in Nonlinear Science and Numerical Simulation 14 (11), 3811-3820, 2009 | 6 | 2009 |
A preconditioned conjugate gradient method for nonselfadjoint or indefinite orthogonal spline collocation problems R Aitbayev, B Bialecki SIAM journal on numerical analysis 41 (2), 589-604, 2003 | 6 | 2003 |
A quadrature finite element Galerkin scheme for a biharmonic problem on a rectangular polygon R Aitbayev Numerical Methods for Partial Differential Equations: An International …, 2008 | 5 | 2008 |
Orthogonal spline collocation for nonlinear Dirichlet problems R Aitbayev, B Bialecki SIAM journal on numerical analysis 38 (5), 1582-1602, 2000 | 5 | 2000 |
A fourth-order collocation scheme for two-point interface boundary value problems R Aitbayev, N Yergaliyeva Advances in Numerical Analysis 2014, 2014 | 4 | 2014 |
Multilevel Preconditioners for Non--self-adjoint or Indefinite Orthogonal Spline Collocation Problems R Aitbayev SIAM Journal on Numerical Analysis 43 (2), 686-706, 2005 | 4 | 2005 |
Multilevel preconditioners for a quadrature Galerkin solution of a biharmonic problem R Aitbayev Numerical Methods for Partial Differential Equations: An International …, 2006 | 3 | 2006 |
An error analysis and the mesh independence principle for a nonlinear collocation problem R Aitbayev Numerical Methods for Partial Differential Equations: An International …, 2006 | | 2006 |