3 papers
math.NA2026
A Fast-Convergence Resolution of the Stochastic Eigenproblem Using Halley's Method and the Spectral-Chaos Approach
Hugo Esquivel, Kabir Oluwatobi Idowu, Guang Lin
Solving stochastic eigenvalue problems has long been essential for informed decision-making, advancing scientific knowledge, and ensuring the reliability of engineering designs and…
math.NA2023
Numerical Stability for Differential Equations with Memory
Guihong Wang, Yuqing Li, Tao Luo +3
In this work, we systematically investigate linear multi-step methods for differential equations with memory. In particular, we focus on the numerical stability for multi-step meth…
cs.LG2023
HomPINNs: homotopy physics-informed neural networks for solving the inverse problems of nonlinear differential equations with multiple solutions
Haoyang Zheng, Yao Huang, Ziyang Huang +2
Due to the complex behavior arising from non-uniqueness, symmetry, and bifurcations in the solution space, solving inverse problems of nonlinear differential equations (DEs) with m…