16 citations · 38 across the 14 of their papers we have counts for
7 papers · 1 filter
Explicit inverse of symmetric, tridiagonal near Toeplitz matrices Part II: with weakly diagonally dominant Toeplitz
Bakytzhan Kurmanbek, Yogi Erlangga, Yerlan Amanbek
In this paper, we provide explicit formulas for the exact inverses of the symmetric tridiagonal near-Toeplitz matrices characterized by weak diagonal dominance in the Toeplitz part…
Explicit inverse of symmetric, tridiagonal near Toeplitz matrices with strictly diagonally dominant Toeplitz part
Bakytzhan Kurmanbek, Yogi Erlangga, Yerlan Amanbek
This study investigates tridiagonal near-Toeplitz matrices in which the Toeplitz part is strictly diagonally dominant. The focus is on determining the exact inverse of these matric…
Inverse properties of a class of pentadiagonal matrices related to higher order difference operators
Bakytzhan Kurmanbek, Yogi Erlangga, Yerlan Amanbek
This paper analyzes the convergence of fixed-point iterations of the form u = f(u) and the properties of the inverse of the related pentadiagonal matrices, associated with the four…
Inverse properties of a class of seven-diagonal (near) Toeplitz matrices
Bakytzhan Kurmanbek, Yogi Erlangga, Yerlan Amanbek
This paper discusses the explicit inverse of a class of seven-diagonal (near) Toeplitz matrices, which arises in the numerical solutions of nonlinear fourth-order differential equa…
Error indicator for the incompressible Darcy flow problems using Enhanced Velocity Mixed Finite Element Method
Yerlan Amanbek, Gurpreet Singh, Gergina Pencheva +1
In the flow and transport numerical simulation, mesh adaptivity strategy is important in reducing the usage of CPU time and memory. The refinement based on the pressure error estim…
Recovery of the Interface Velocity for the Incompressible Flow in Enhanced Velocity Mixed Finite Element Method
Yerlan Amanbek, Gurpreet Singh, Mary F. Wheeler
The velocity, coupling term in the flow and transport problems, is important in the accurate numerical simulation or in the posteriori error analysis for adaptive mesh refinement.…
A priori error analysis for transient problems using Enhanced Velocity approach in the discrete-time setting
Yerlan Amanbek, Mary Wheeler
Time discretization along with space discretization is important in the numerical simulation of subsurface flow applications for long run. In this paper, we derive theoretical conv…