16 citations · 38 across the 14 of their papers we have counts for
15 papers
Isogeometric Analysis for the Pricing of Financial Derivatives with Nonlinear Models: Convertible Bonds and Options
Rakhymzhan Kazbek, Yogi Erlangga, Yerlan Amanbek +1
Computational efficiency is essential for enhancing the accuracy and practicality of pricing complex financial derivatives. In this paper, we discuss Isogeometric Analysis (IGA) fo…
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…
CFD-DEM modeling of fracture initiation with polymer injection in granular media
Daniyar Kazidenov, Yerlan Amanbek
We numerically study mechanisms and conditions of fracture initiation in granular material induced by non-Newtonian polymer solutions. A coupling approach of computational fluid dy…
Experimental and numerical study of the effect of polymer flooding on sand production in poorly consolidated porous media
Daniyar Kazidenov, Sagyn Omirbekov, Meruyet Zhanabayeva +1
Polymer flooding is crucial in hydrocarbon production, increasing oil recovery by improving the water-oil mobility ratio. However, the high viscosity of displacing fluid may cause…
Valuation of the Convertible Bonds under Penalty TF model using Finite Element Method
Rakhymzhan Kazbek, Yogi Erlangga, Yerlan Amanbek +1
In this paper, the TF system of two-coupled Black-Scholes equations for pricing the convertible bonds is solved numerically by using the P1 and P2 finite elements with the inequali…
Coarse-graining of CFD-DEM for simulation of sand production in the modified cohesive contact model
Daniyar Kazidenov, Furkhat Khamitov, Yerlan Amanbek
Sand production is an important issue for many hydrocarbon recovery applications in unconsolidated reservoirs. The model using the Computational Fluid Dynamics coupled with Discret…
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…
A proof of Anđelić-Fonseca conjectures on the determinant of some Toeplitz matrices and their generalization
Bakytzhan Kurmanbek, Yerlan Amanbek, Yogi Erlangga
We present a proof of determinant of special nonsymmetric Toeplitz matrices conjectured by Anđelić and Fonseca in \cite{andjelic2020some}. A proof is also demonstrated for a more g…
Framework of Fracture Network Modeling using Conditioned Data with Sequential Gaussian Simulation
Yerlan Amanbek, Timur Merembayev, Sanjay Srinivasan
The fracture characterization using a geostatistical tool with conditioning data is a computationally efficient tool for subsurface flow and transport applications. The main object…
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…
Adoption of e-government in the Republic of Kazakhstan
Yerlan Amanbek, Ilyas Balgayev, Kanat Batyrkhanov +1
This paper identifies factors that influence Kazakhstan's e-Government portal usage. It determines challenges encountered by citizens while using the portal. Targeted respondents f…