Decades ago, Paul Erdős used randomness to illuminate the vast and weird world of networks. Now mathematicians are making his ...

In October 2024 I attended a workshop at Harvard University where mathematicians talked through the uses of artificial intelligence in their field. Most were less worried about the future of math than ...

Abstract: To model the responses of borehole electromagnetic sensing in complicated geological environments, the geometric multigrid preconditioned finite-difference frequency-domain (FDFD) method is ...

Abstract: A micromagnetic solver using the finite-difference method on a graphics processing unit (GPU) and its integration with the object-oriented micromagnetic framework (OOMMF) are presented. Two ...

As you read this, every atom in your body is desperately trying to tear itself apart. In fact, that goes for every atom, everywhere, since the beginning of time. Thankfully, those efforts have failed.

This software simulate seismic wave propagation by solving equations of motion with constitutive equations of elastic/viscoelastic medium by finite difference method (FDM) under message passing ...

In this work, a finite volume formulation developed for two-dimensional models is extended to deal with axisymmetric models of heat conduction applications. This formulation uses a vertex centered ...

Compared to the conventional high-order staggered-grid finite-difference method (C-SFD), the time–space domain dispersion-relation-based high-order staggered-grid finite-difference method (TS-SFD) can ...

This paper presents a simple but effective and efficient approach to improve the accuracy and stability of the least-squares Monte Carlo method. The key idea is to construct an ansatz for the ...

A finite element model for solving ocean circulation forced by winds and atmospheric heat fluxes is presented. It is vertically integrated 1 1/2 layer model which solves the motion and continuity ...