We study the classical linear partial differential equations: Poisson's equation and the heat equation. We learn about representation formulas for solutions, maximum principles, and energy estimates.

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Python Implementation of Ordinary Differential Equations Solvers using Hybrid Physics-informed Neural Networks. This repository is provided as a tutorial for the implementation of integration ...

AUTO is a publicly available software for continuation and bifurcation problems in ordinary differential equations originally written in 1980 and widely used in the dynamical systems community. ode ...

A. Pazy , Semigroups of Linear Operators and Applications to Partial Differential Equations, Springer Applied Mathematical Series (Springer-Verlag, Berlin, 1983). Crossref, Google Scholar; 19. M.

J. Liu, L. Yan and Y. Cang, On a jump-type stochastic fractional partial differential equation with fractional noises, Nonlinear Anal. 75 (2012) 6060–6070. Crossref, Web of Science, Google Scholar; 25 ...