Results 191 to 200 of about 32,630,588 (240)

Stability and Robustness of Time-discretization Schemes for the Allen-Cahn Equation via Bifurcation and Perturbation Analysis. [PDF]

J Comput Phys
Hao W, Lee S, Xu X, Xu Z.
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How mathematical models might predict desertification from global warming and dust pollutants. [PDF]

MethodsX
Hakeem E, Jawad S, Ali AH, Kallel M, Neamah HA.   +4 more
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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

Runge-Kutta methods for stochastic differential equations

, 1999
In this thesis, high order stochastic Runge-Kutta methods are developed for the numerical solution of (Stratonvich) stochastic differential equations and numerical results are presented.
P. Burrage
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Implicit-explicit Runge-Kutta methods for time-dependent partial differential equations

, 1997
U. Ascher, Steven J. Ruuth, R. Spiteri
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Stability of Runge-Kutta Methods for Stiff Nonlinear Differential Equations

, 1984
K. Dekker, J. Verwer
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The numerical solution of differential-algebraic systems by Runge-Kutta methods

, 1989
E. Hairer, C. Lubich, M. Roche
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Runge-Kutta methods in optimal control and the transformed adjoint system

Numerische Mathematik, 2000
W. Hager
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