Results 51 to 60 of about 119,481 (165)
Analysis of Artificial Dissipation of Explicit and Implicit Time-Integration Methods
, 2016 Stability is an important aspect of numerical methods for hyperbolic conservation laws and has received much interest. However, continuity in time is often assumed and only semidiscrete stability is studied. Thus, it is interesting to investigate the influence of explicit and implicit time integration methods on the stability of numerical schemes.
Öffner, Philipp +2 more
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Computational Mathematics and Mathematical PhysicsThe article proposes a new algorithm for numerical integration over time of the Cahn-Hilliard equation, based on the combined application of the Eyre splitting method and the local iteration modified (LIM) scheme for solving a finite-dimensional problem at each time step.
M. A. Botchev +2 more
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An iterative dynamic chemical stiffness removal method for reacting flow simulations
Propulsion and EnergyAn iterative dynamic chemical stiffness removal method (IDCSR) based on quasi-steady-state approximation (QSSA) is proposed. The IDCSR method is built on a previously developed non-iterative method which has proved to work well for small timestep sizes ...
Chao Xu, Tianfeng Lu
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An explicit time integration method for Boussinesq approximation
PAMMAbstractThis paper presents a novel approach to the discretization of the Boussinesq equation using finite elements, coupled with an explicit pressure correction scheme. The entire numerical scheme is formulated exclusively in terms of matrix‐vector products, enabling a highly efficient numerical solution. The key advantage of this approach lies in its
Dandy Rueda Castillo +2 more
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Advances in Difference Equations, 2019 In this paper, we investigate some new nonlinear dynamic integral inequalities containing integration on infinite interval on time scales, which provide explicit bounds on unknown functions.
Haidong Liu, Cuiyuan Li, Feichao Shen
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Numerical efficiency of explicit time integrators for phase-field models
Computational Materials SciencePhase-field simulations are a practical but also expensive tool to calculate microstructural evolution. This work aims to compare explicit time integrators for a broad class of phase-field models involving coupling between the phase-field and concentration.
Marco Seiz, Tomohiro Takaki
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Frontiers in Physics, 2018 We study three different time integration methods for a dynamic pore network model for immiscible two-phase flow in porous media. Considered are two explicit methods, the forward Euler and midpoint methods, and a new semi-implicit method developed herein.
Magnus Aa. Gjennestad +3 more
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MathematicsThis paper introduces a new explicit integration method for second-order ordinary differential equations (ODEs) commonly encountered in engineering applications. Traditionally, these problems are solved either by reformulating them as first-order systems
Gorka Urkullu +3 more
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Adaptivity in Crashworthiness Calculations
Shock and Vibration, 1993 h-Adaptive finite element methods for nonlinear transient analysis by explicit time integration are described. Examples are given of adaptive calculations for simple components and prototype calculations for a full car model.
Ted Belytschko +5 more
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Discrete-Time Implementation of Continuous Terminal Algorithm With Implicit-Euler Method
IEEE Access, 2019 This paper proposes an alternative implementation for a continuous terminal algorithm (CTA) proposed by Torres-Gonzalez et al. The original CTA is a continuous version of the twisting algorithm (TA), which mitigates the chattering by integrating the ...
Xiaogang Xiong +3 more
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