Results 241 to 250 of about 32,424,344 (291)

A novel hybrid framework for efficient higher order ODE solvers using neural networks and block methods. [PDF]

open access: yesSci Rep
Murugesh V   +7 more
europepmc   +1 more source

Perturbed Runge–Kutta Methods for Mixed Precision Applications

Journal of Scientific Computing, 2020
In this work we consider a mixed precision approach to accelerate the implementation of multi-stage methods. We show that Runge–Kutta methods can be designed so that certain costly intermediate computations can be performed as a lower-precision ...
Zachary J. Grant
semanticscholar   +1 more source

Diagonally implicit Runge–Kutta methods for stiff ODEs

, 2019
Based principally on a recent review of diagonally implicit Runge–Kutta (DIRK) methods applied to stiff first-order ordinary differential equations (ODEs) by the present authors, several nearly optimal, general purpose, DIRK-type methods are presented ...
C. Kennedy, M. Carpenter
semanticscholar   +1 more source

Convolutional neural networks combined with Runge–Kutta methods

Neural computing & applications (Print), 2018
A convolutional neural network can be constructed using numerical methods for solving dynamical systems, since the forward pass of the network can be regarded as a trajectory of a dynamical system.
Mai Zhu, B. Chang, Chong Fu
semanticscholar   +1 more source

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