New schemes were developed to form the basis of the local approximation subspace, which were derived by approximating only the k 2 u term of the Helmholtz equation. The construction of a basis of the ...

This intriguing brainteaser requires you to use your problem-solving skills to find the solution ... struggling with what looks like a simple equation!” While one confident user revealed ...

Computer (symbolic) algebra systems and libraries are used for manipulations with symbolic mathematical expressions. Usually, those libraries are capable of some calculus operations (differentiation, ...

Chemical reaction network and systems biology interface for scientific machine learning (SciML). High performance, GPU-parallelized, and O(1) solvers in open source software.

(Courtesy: R.G. MacDonald, A. Yakovlev, and V. Pacheco-Peña, doi : 10.1117/1.APN.3.5.056007) Waveguide-based structures can solve partial differential equations by mimicking elements in standard ...