Automated translation and accelerated solving of differential equations on multiple GPU platforms
From MaRDI portal
Publication:6185164
DOI10.1016/j.cma.2023.116591arXiv2304.06835MaRDI QIDQ6185164
Yingbo Ma, Tim Gymnich, George Barbastathis, Richard D. Braatz, Utkarsh Utkarsh, Tim Besard, Prakitr Srisuma, Adam R. Gerlach, Alan Edelman, Christopher Rackauckas, Valentin Churavy
Publication date: 29 January 2024
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2304.06835
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- SUNDIALS
- The Pricing of Options and Corporate Liabilities
- Runge-Kutta pairs of order \(5(4)\) satisfying only the first column simplifying assumption
- Stiffness of ODEs
- Numerically optimal Runge-Kutta pairs with interpolants
- A family of embedded Runge-Kutta formulae
- Higher-order implicit strong numerical schemes for stochastic differential equations
- A new approach to explain the 'high irradiance responses' of photomorphogenesis on the basis of phytochrome
- Singly diagonally implicit Runge-Kutta methods with an explicit first stage
- A methodology for performing global uncertainty and sensitivity analysis in systems biology
- Program package MPGOS: challenges and solutions during the integration of a large number of independent ODE systems using GPUs
- The art of solving a large number of non-stiff, low-dimensional ordinary differential equation systems on GPUs and CPUs
- Construction of Rosenbrock-Wanner method Rodas5p and numerical benchmarks within the Julia differential equations package
- The MATLAB ODE Suite
- Solving Ordinary Differential Equations I
- Some general implicit processes for the numerical solution of differential equations
- Numerical Integration of Systems of Stiff Ordinary Differential Equations with Special Structure
- Gauss–Seidel Iteration for Stiff ODES from Chemical Kinetics
- Deterministic Nonperiodic Flow
- Inverse Problem Theory and Methods for Model Parameter Estimation
- Weak Second Order Conditions for Stochastic Runge--Kutta Methods
- Solving Ordinary Differential Equations on GPUs
- The Monte Carlo Method
- Runge-Kutta methods for numerical solution of stochastic differential equations
This page was built for publication: Automated translation and accelerated solving of differential equations on multiple GPU platforms
