Historically, mathematical proofs have been written and evaluated by humans, but in principle they could be formalized and verified by a computer program, essentially eliminating doubts about ...

Members of the team are engaged in interdisciplinary research in applied mathematics with applications in a number of interlinking industries. Research is an important activity, ensuring the vitality ...

Abstract: This article introduces a novel multi-physics β-formulation eigen-analysis simulator designed for shielded multiferroic devices/transmission lines. The Finite Difference Frequency Domain ...

Abstract: In this letter, a 2-D parameter-optimized spatial finite-difference temporal differential (SFDTD) method is presented, referred to as the PO-SFDTD method. First, the dispersion ...

Learn how to classify PDEs,and apply and visualize characteristic and finite difference solution methods. You can use these live scripts as demonstrations in lectures, class activities, or interactive ...

What Are FEM, FDM and FVM? FEM, FDM and FVM differ from one another in important ways. Understanding these distinctions is key to selecting the method most appropriate for your purposes. The ...

In 1940 André Weil wrote a letter to his sister, Simone, outlining his vision for translating between three distinct areas of mathematics. Eighty years later, it still animates many of the most ...

I have been interested in the derivation of new and better Runge-Kutta algorithms for some time. In particular, I showed that the design of Runge-Kutta pairs by E. Fehlberg could be improved to ...

Soil-rock mixture is a complex multi-phase composite geotechnical material, and its strength is determined by the physical properties of constituent multi-phase materials and their coupling mechanical ...

Numerical simulation of three-dimensional (3D) seismic wavefields forms the basis of the research on the migration methods of 3D seismic data based on wave equations. Because the simulation precision ...

1 Department of Science and Humanities, Bangladesh Army International University of Science and Technology, Cumilla, Bangladesh. 2 Department of Mathematics and Statistics, Bangladesh University of ...