Assistant Professor analyzing & developing numerical methods for differential equations, focusing on stability, mimetic properties & structure preservation
Multi-language suite for high-performance solvers of differential equations and scientific machine learning (SciML) components. Ordinary differential equations (ODEs), stochastic differential equations (SDEs), delay differential equations (DDEs), differential-algebraic equations (DAEs), and more in Julia.
Julia - Released: 11 May 2016 - 2,853
High performance ordinary differential equation (ODE) and differential-algebraic equation (DAE) solvers, including neural ordinary differential equations (neural ODEs) and scientific machine learning (SciML)
Julia - Released: 22 Oct 2016 - 506
Fast, continuous interpolation of discrete datasets in Julia
Julia - Released: 27 Aug 2014 - 530
Trixi.jl: Adaptive high-order numerical simulations of conservation laws in Julia
Julia - Released: 18 Aug 2020 - 496
A Julia library of summation-by-parts (SBP) operators used in finite difference, Fourier pseudospectral, continuous Galerkin, and discontinuous Galerkin methods to get provably stable semidiscretizations, paying special attention to boundary conditions.
Julia - Released: 16 Dec 2017 - 97
A common interface for quadrature and numerical integration for the SciML scientific machine learning organization
Julia - Released: 08 Aug 2019 - 202
A Julia package to construct orthogonal polynomials, their quadrature rules, and use it with polynomial chaos expansions.
Julia - Released: 15 Jan 2019 - 112
Julia-based implementation of ellipsis array indexing notation `..`
Julia - Released: 30 May 2016 - 85
Robust, Fast, and Parallel Global Sensitivity Analysis (GSA) in Julia
Julia - Released: 10 Nov 2020 - 44
This package contains a macro for converting expressions to use muladd calls and fused-multiply-add (FMA) operations for high-performance in the SciML scientific machine learning ecosystem
Julia - Released: 31 Jul 2017 - 45
The SciML Scientific Machine Learning Software Organization Website
CSS - Released: 26 Nov 2016 - 49
Wrappers for the SciPy differential equation solvers for the SciML Scientific Machine Learning organization
Julia - Released: 23 Nov 2019 - 20