Nonlinear dynamics provides an essential framework for exploring complex phenomena in biological and medical sciences. By ...

An acausal modeling framework for automatically parallelized scientific machine learning (SciML) in Julia. A computer algebra system for integrated symbolics for physics-informed machine learning and ...

We propose a novel machine learning architecture, termed model-integrated neural networks (MINN), that can learn the physics-based dynamics of general autonomous or non-autonomous systems consisting ...

“We proved that the Einstein field equation from general relativity is actually a relativistic quantum mechanical equation,” the researchers note in their study. In simple words, this new ...

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to ...

Filipović, Damir and Tappe, Stefan 2007. Existence of Lévy term structure models. Finance and Stochastics, Vol. 12, Issue. 1, p. 83.

You've picked a juicy read, and you've gathered a group of fellow book lovers. Now all you need is a great book club name—and we've got you covered. Our editors and experts handpick every ...

For example, consider the following differential equation, y x = 2y, where y(0) = 3. This differential equation can be viewed as an optimization problem where we seek to minimize the residual of the ...