Tipping points in our climate predictions are both wildly dramatic and wildly uncertain. Can mathematicians make them useful?

Abstract: During industrial smart manufacturing, many problems can be described as a time-dependent nonlinear equation system (TNES) that needs to be solved cooperatively due to large-scale ...

Abstract: The problem of nonlinear equation systems is of great significance for practical engineering. However, solving nonlinear equation systems efficiently and accurately has always been a ...

Several fundamental results on the existence and behavior of solutions to semilinear functional differential equations are developed in a Banach space setting. The ideas are applied to ...

Advanced space travel relies on a fundamental understanding of the restricted three-body problem (RTBP), in which one of the ...

Sparse methods are primarily valuable for systems in which the number of non-zero entries is substantially less than the overall size of the matrix. Such situations are common in physical systems, ...

In his decades-long career in tech journalism, Dennis has written about nearly every type of hardware and software. He was a founding editor of Ziff Davis’ Computer Select in the 1990s, senior ...

This repository is an implementation of the NeurIPS 2024 paper: IPM-LSTM: A Learning-Based Interior Point Method for Solving Nonlinear Programs. Constrained Nonlinear Programs (NLPs) represent a ...