Differential equations ​

Links ​

• Overview of differential equations | Chapter 1 (2019)
• Lecture on differential equations using GNU TeXmacs (2020)
• DeepXDE - Deep learning library for solving differential equations on top of TensorFlow.
• torchdyn - PyTorch based library for all things neural differential equations.
• Neural Controlled Differential Equations for Irregular Time Series
• Differential Forms and Integration (2008) (HN)
• MIT Differential Equations course (2020)
• MIT Linear Partial Differential Equations: Analysis and Numerics (2016)
• MIT Numerical Methods for Partial Differential Equations (2006)
• An intuitive look at differential forms (2020)
• Learning second order coupled differential equations that are subject to non-conservative forces (2020) (HN)
• Smooth - Arbitrary-precision differentiable programming language.
• odin - DSL for describing and solving differential equations in R.
• Learning Differential Equations that are Easy to Solve (2020) (Code)
• heyoka - C++ library for ODE integration via Taylor's method and LLVM.
• Ordinary Differential Equations Course Notes
• Score-Based Generative Modeling through Stochastic Differential Equations (2021) (Code)
• Notes on Diffy Qs: Differential Equations for Engineers (Code)
• Convolutional Solvers for PDEs
• diffeqpy - Package for solving differential equations in Python.
• neurodiffeq - Package for solving differential equations with neural networks.
• rodeo - Probabilistic Solution of Differential Equations.
• Graph based neural operators - Using graph network to solve PDEs.
• Differentiable Programming: A Semantics Perspective (2018)
• Dedalus - Flexible framework for solving partial differential equations using spectral methods. (Web)
• MIT Fast Methods for Partial Differential and Integral Equations Course (2021)
• Diffrax - Numerical differential equation solvers in JAX. Autodifferentiable and GPU-capable.
• TorchPhysics - Python library of deep learning methods for solving differential equations.
• diffeq - Basic Ordinary Differential Equation solvers.
• FEniCSx - Computing platform for solving partial differential equations (PDEs).
• DOLFINx - Computational environment of FEniCSx and implements the FEniCS Problem Solving Environment in Python and C++.
• PyTorch Implementation of Differentiable SDE Solvers
• Probabilistic Numerics for Differential Equations | Nathanael Bosch (2021)
• heyoka.py - Python library for ODE integration via Taylor's method and LLVM.
• DifferentiableTrajectoryOptimization.jl - Differentiable trajectory optimization in Julia.
• Solving partial differential equations in parallel on GPUs (2021)
• The Lazy Way to Solve Differential Equations (2022) (HN)
• Linear Algebra & Differential Equations course (2022)
• PINO: Physics-informed Neural Operator for Learning Partial Differential Equation
• Numerical Simulation of Ordinary Differential Equations: Integrating ODEs (2022)
• Towards Multi-spatiotemporal-scale Generalized PDE Modeling (2022) (Code)
• HOODESolver.jl - High Oscillatory Ordinary Differential Equation Solver in Julia.