Parabolic PDE resolution with Tensor Networks using Backward-Forward Stochastic Differential Equations
Chebyshev Polynomial Software for Elliptic-Parabolic Systems of PDEs
Python implementation of 1D Time-dependent Schroedinger Equation solver to study the adiabaticity of any 1D system.
Runge–Kutta Physics-Informed Neural Networks with time-discrete losses (Gauss/Radau/Lobatto) in PyTorch.
HydroTrixi.jl: High-order numerical methods for hydrologic models
A flexible multiphysics PDE's solver, specialized in solving Evolutionary Incompressible Navier-Stokes Equations with Brinkman contribute to handle general geometries. Current implementation allows also to solve many kind of problems, eg. Laplace, Parabolic, Inviscid Euler, Stokes, Heat, Advection
Wuhan University Bachelor Dissertation: the Application of Evolutionary Algorithms in the Parameter Optimization of Differential Equations
This code supplements arXiv:2104.08143, where we describe an adaptive method for parabolic evolution equations.
Backward parabolic positivity barriers for the Xi flow, with symbolic and numeric checks supporting a proof of the Riemann Hypothesis.
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