Publications | Grants
| Recent Publications |
2024 Black Hole Thermodynamic Free Energy as A-discriminants Mounir Nisse, Yen-Kheng Lim, Linus Chang, Springer Link, Volume 63, article number 176,- Published 19 July 2024 Kareem T. Elgindy, International Journal of Computational Methods Exact Mobility Edges for Almost-Periodic CMV Matrices via Gauge Symmetries Christopher Cedzich, Jake Fillman, Long Li, Darren C Ong, Qi Zhou, International Mathematics Research Notices,Volume 2024, Issue 8, April 2024, Pages 6906–6941 Observing algebraic variety of Lee-Yang zeros in asymmetrical systems via a quantum probe Arijit Chatterjee, TS Mahesh, Mounir Nisse, and Yen-Kheng Lim, Phys. Rev. A 109, 06 2601 – Published 3 June 2024Fourier–Gegenbauer pseudospectral method for solving periodic fractional optimal control problemsKareem T. Elgindy, Mathematics and Computers in Simulation, Elsevier, 225, pp. 148-164 The maximum four point condition matrix of a tree Ali Azimi, Rakesh Jana, Mukesh Kumar Nagar, Sivaramakrishnan Sivasubramanian, Linear Algebra and Its Applications, Elsevier, Volume 691, 2024, Pages 133-150. On the Min4PC Matrix of a Tree Ali Azimi, Rakesh Jana, Mukesh K Nagar, Sivaramakrishnan Sivasubramanian, American Journal of Combinatorics, Volume 3 (2024), Pages 13–21 Mei Feng Liu, Boo Hui Ling, Journal of Engineering Technology and Applied Physics, MMU Press, Vol.6, No. 1,– Published 15 March 2024 Nonlinear deformation for thermo–magneto–electro–elastic (TMEE) laminates Mei-Feng Liu & Chung-Han Yong, Springer Link,Volume 235, pages 2651–2674, (2024), – Published 7 February 2024 Kareem T. Elgindy and Hareth M. Refat., Mathematics and Computers in Simulation, Elsevier, 219, pp. 297-320. Kareem T. Elgindy, Mathematics and Computers in Simulation, Volume 218, 2024, Pages 544-555. 2023 Gold price volatility and forecasting evaluations with the impact of COVID-19 pandemic Alwin Chong Kinnam ,Angie Loh Yan Bin, Chin Wen Cheong, Lim Min & Gloria Teng Ai Hui, Journal of Statistics & Management Systems, Vol. 26 (2023), No. 8, pp. 1867–1882. 2022 Another Proof of Zagier's Matrix Conjecture Yawen Ma, Lee-Peng Teo Journal of Integer Sequences Mounir Nisse , Frank Sottile Pacific Journal of Mathematics Forecasting Heterogeneous Municipal Solid Waste Generation via Bayesian-optimised Neural Network with Ensemble Learning for Improve Generalisation Zheng Xuan Hoy, Kok Sin Woon, Wen Cheong Chin, Haslenda Hashim, Yee Van Fan Computers & Chemical Engineering Theta Function and Adiabatic Curvature on an Elliptic Curve Ching Hao Chang, JH Cheng, IH Tsai The Journal of Geometric Analysis Simpon's Second-Type Inequalities for Co-Ordinated Convex Functions and Applications for Cubature Formulas 2021 Infinitesimal homogeneity and bundles Arash Bazdar, Andrei Teleman Annals of Global Analysis and Geometry Stagnation point bionanofluid slip flow model: Sensitivity analysis Sze Qi Chan, Fazlina Aman, Syahira Mansur Alexandria Engineering Journal Summary: Restrictions on the Existence of a Canonical System Flow Hierarchy Injo Hur, Darren C. Ong Integral Equations and Operator Theory Simon's OPUC Hausdorff dimension conjecture David Damanik, Shuzheng Guo, Darren C. Ong Mathematische Annalen Summary: Kim Hoong Ng, Siaw Ching Liew, and Shaoliang Zhang Process Safety and Environmental Protection The zero-temperature limit of grand canonical ensembles via tropical geometry Mounir Nisse and Yen-Kheng Lim Analysis and Mathematical Physics Summary: A Natural Topological Manifold Structure of Phase Tropical Hypersurfaces Young Rock Kim, Mounir Nisse Journal of Korean Mathematics Society Light-ring pairs from A-discriminantal varieties Yen-Kheng Lim, Mounir Nisse Physical Review D Summary: Donaldson–Thomas invariants of abelian threefolds and Bridgeland stability conditions Georg Oberdieck, Dulip Piyaratne, Yukinobu Toda Journal of Algebraic Geometry Resolvent trace formula and determinants of n Laplacians on orbifold Riemann surfaces Lee-Peng Teo SIGMA |
| Research Grants/Projects |
Aperiodic Quantum Walk Models Exhibiting Exotic Spectral Behaviour Connected to Quantum Computing Darren Ong Chung Lee (funded by FRGS)
Teo Lee Peng (funded by XMUMRF) In analytic number theory, estimating the asymptotic behavior of arithmetic functions is an important topic. Despite being classical, the research in improving the estimates in the error terms of the prime number theorem and the Siegel-Walfisz t heorem has never stopped. Usually, some auxiliary functions and parameters are used. We plan to employ some optimization method to choose the auxiliary function and parameters.
Adaptive Mesh-Free Wavelet-Based Collocation Method for the Coupled Analysis of Thermal-Magneto-Electro-Elastic Plates Liew Siaw Ching, Liu MeiFeng (funded by XMUMRF) In this research, an adaptive meshless simulation for the coupled analysis of Thermo-magneto-electro-elastic (TMEE) plate based on wavelet multiscale resolution and radial basis (RBF) collocation will be presented. Nonlinear governing equations for the thermo-magneto-electro-elastic (TMEE) plate subjected to coupling applied load will be derived under the consideration of finite strain deformation, and then meshless method will be adopted to take over the tasks for static behavior or dynamical response of the invented mathematical model. The adaptive element-free wavelet method (AEFWM) will be developed in this research project by using two-scale Daubechies wavelets in accordance with the radical basis collocation function. Node adaption will be implemented according to the tendency of wavelet coefficients, additional nodes will be added on the neighbourhood of active node point, the adaptive criterion and node refinement scheme for the AEFWM will be discussed in detail. The proposed numerical method can be used to find out the solution for the partial differential equations aroused in the coupled TMEE plate due to crack, shock wave, moving boundary conditions or nonlinear applied load etc. |
