Results 71 to 80 of about 2,258,481 (223)

A Hybrid Time Integration Scheme for the Discontinuous Galerkin Discretizations of Convection-Dominated Problems

Energies, 2020
Discontinuous Galerkin (DG) method is a popular high-order accurate method for solving unsteady convection-dominated problems. After spatially discretizing the problem with the DG method, a time integration scheme is necessary for evolving the result ...
Liang Li, Songping Wu
doaj   +1 more source

Unconditionally Dynamically Consistent Numerical Methods with Operator-Splitting for a Reaction-Diffusion Equation of Huxley’s Type

Mathematics
The efficiency of various numerical methods for solving Huxley’s equation—which includes a diffusion term and a nonlinear reaction term—is investigated. Conventional explicit finite difference algorithms often suffer from severe stability limitations and
Husniddin Khayrullaev, Endre Kovács
doaj   +1 more source

Relaxation of the incompressible porous media equation [PDF]

, 2011
It was shown recently by Cordoba, Faraco and Gancedo that the 2D porous media equation admits weak solutions with compact support in time. The proof, based on the convex integration framework, uses ideas from the theory of laminates, in particular T4 ...
Székelyhidi Jr, László
core   +2 more sources

Damping Acoustic Modes in Compressible Horizontally Explicit Vertically Implicit (HEVI) and Split-Explicit Time Integration Schemes

Monthly Weather Review, 2018
Although the equations of motion for a compressible atmosphere accommodate acoustic waves, these modes typically play an insignificant role in atmospheric processes of physical interest.
J. Klemp, W. Skamarock, Soyoung Ha
semanticscholar   +1 more source

Sensitivity analysis of transient metal forming with incompressible linear elements

Computer Assisted Methods in Engineering and Science, 2023
On the basis of a recently developed method which allows the use of linear elements for metal forming simulation within the flow approach, sensitivity analysis is carried out.
Horacio J. Antúnez
doaj  

Accelerated Runge-Kutta Methods

Discrete Dynamics in Nature and Society, 2008
Standard Runge-Kutta methods are explicit, one-step, and generally constant step-size numerical integrators for the solution of initial value problems. Such integration schemes of orders 3, 4, and 5 require 3, 4, and 6 function evaluations per time step ...
Firdaus E. Udwadia, Artin Farahani
doaj   +1 more source

Explicit Time Integration Method Based on Uniform Trigonometric B-Spline Function for Transient Heat Conduction Analysis

Applied Sciences
In this paper, a new explicit time integration method for transient heat conduction analysis is proposed based on the uniform trigonometric B-spline function. The algorithmic calculation procedure for solving the heat conduction problem is given.
Zixu Li, Yongyu Hong, Pan Wang, Weibin Wen   +3 more
doaj   +1 more source

A Super-Integrable Discretization of the Calogero Model

, 2005
A time-discretization that preserves the super-integrability of the Calogero model is obtained by application of the integrable time-discretization of the harmonic oscillator to the projection method for the Calogero model with continuous time.
Haruo Yoshida, Hideaki Ujino, Hirota R., Hoppe J., Luc Vinet, Nijhoff F. W.   +5 more
core   +1 more source

Comparative Analysis of ALE Method Implementation in Time Integration Schemes for Pile Penetration Modeling

Mathematical and Computational Applications
This study investigates the full penetration simulation of piles from the ground surface, focusing on frictional contact modeling without mesh distortion.
Ihab Bendida Bourokba, Abdelmadjid Berga, Patrick Staubach, Nazihe Terfaya   +3 more
doaj   +1 more source

On the stability of the recently developed nice integration scheme [PDF]

, 2013
The paper deals with the integration of elasto-plastic constitutive models using recently developed NICE integration scheme [1],[2]. The emphasis is put on the stability of the integration, since this issue was not sufficiently addressed in previous ...
Halilovic, Miroslav, Starman, Bojan, Stok, Boris, Vrh, Marko   +3 more
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