Multi-language suite for high-performance solvers of differential equations and scientific machine learning (SciML) components. Ordinary differential equations (ODEs), stochastic differential ...

Research in fractional differential equations is multidisciplinary and is used in diverse fields such as control systems, elasticity, electric drives, circuits systems, continuum mechanics, heat ...

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 ...

Partial Differential Equations (PDEs) are central to both pure and applied mathematics. Any quantity which changes in space ...

to a broader class of systems. Particularly, we build on our recently developed lexicographic SERC (L-SERC) theory and methods to achieve an identifiability test for differential-algebraic equation ...

Partial Differential Equations (PDEs) are central to both pure and applied mathematics. Any quantity which changes in space ...

Abstract: Nonlinear equations systems (NESs) arise in a wide range of domains. Solving NESs requires the algorithm to locate multiple roots simultaneously. To deal with NESs efficiently, this study ...

Space travel has always hit a wall with slow speeds and massive fuel needs. Gravitic propulsion systems offer a game-c ...

Mathematicians at the Okinawa Institute of Science and Technology (OIST) are developing a new approach to detect cancer early ...

Schmidt Sciences has selected 25 scholars, including one from UC San Diego, for a program to advance research on artificial ...