Abstract: Inhomogeneous linear ordinary differential equations (ODEs) and systems of ODEs can be solved in a variety of ways. However, hardware circuits that can perform the efficient analog ...

At first glance, the problem appears easy enough. But while many users on X, formerly Twitter, quickly chimed in with answers, only a small number got it right - because only they remembered to apply ...

Calculation: A representation of a network of electromagnetic waveguides (left) being used to solve Dirichlet boundary value problems. The coloured diagrams at right represent the normalized ...

Taiwanese Journal of Mathematics, Vol. 10, No. 4 (June 2006), pp. 963-975 (13 pages) We apply the two-scale convergence method introduced by G. Nguetseng and G. Allaire to study the homogenization of ...

Time-domain finite-difference (TDFD) method is the most dominant approach for seismic wavefield simulation. Due to the memory and computational cost of the computer, finite-difference (FD) simulations ...

Two new approaches allow deep neural networks to solve entire families of partial differential equations, making it easier to model complicated systems and to do so orders of magnitude faster. In high ...