Based on deep neural network, elliptic partial differential equations in complex regions are solved. Accurate and effective strategies and numerical methods for elliptic partial differential equations ...

Scientists are rethinking the universe’s deepest mysteries using numerical relativity, complex computer simulations of Einstein’s equations in extreme conditions. This method could help ...

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A simple chalkboard sum has tripped up thousands - and the right answer depends on remembering one classroom rule you probably haven't used since middle school.

We have developed a vectorial solution of coupled-integral representations (IRs) based on the extended integral equation (EIE) method, for the modal analysis of composite optical fibers (OFs). The ...