Implicit integration with coordinate partitioning

McGrath JF.; Rampalli R.

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Implicit integration with coordinate partitioning

机译：隐式集成与坐标分区

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The dynamics of a mechanical system are governed by differential and algebraic (constraint) equations. If these DAE's are reduced by coordinate partitioning to a system of first order differential equations for the independent unknowns, then numerical methods for equations in explicit form can be used to compute the solution. We have developed techniques for the evaluation of the sparse Jacobian matrices for solving the partitioned equations with integrators based on backward differentiation formulas, an important method for the simulation of the inherently stiff mechanical systems. (C) 2000 Elsevier Science Inc. All rights reserved. [References: 5]

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《Applied mathematics and computation》 |2000年第1期|共25页
作者
McGrath JF.; Rampalli R.;
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正文语种 eng
中图分类应用数学;
关键词
Coordinate partitioning; Dynamics; Differential and algebraic equations; Mechanical system simulation;

机译：坐标划分动态学微分代数方程机械系统仿真;

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专利

1. Implicit integration with coordinate partitioning [J] . McGrath JF., Rampalli R. Applied mathematics and computation . 2000,第1期

机译：隐式集成与坐标分区
2. PIROCK: A swiss-knife partitioned implicit-explicit orthogonal Runge-Kutta Chebyshev integrator for stiff diffusion-advection-reaction problems with or without noise [J] . Abdulle A., Vilmart G. Journal of Computational Physics . 2013,第Null期

机译：PIROCK：瑞士刀分割的隐式-显式正交Runge-Kutta Chebyshev积分器，用于带或不带噪声的刚性扩散-对流-反应问题
3. Novel partitioned time integration methods for DAE systems based on L-stable linearly implicit algorithms [J] . Jia C., Bursi O.S., Bonelli A., International Journal for Numerical Methods in Engineering . 2011,第12期

机译：基于L稳定线性隐式算法的DAE系统分区时间积分新方法
4. Computationally Efficient Partitioned Dynamic Simulation of Multibody Systems using Implicit Time Integrators [C] . Sukhpreet Singh Sandhu, John McPhee Advanced applications and perspectives of multibody systems dynamics . 2010

机译：使用隐式时间积分器的多体系统计算有效分区动态仿真
5. Use of Non-inertial Coordinates and Implicit Integration for Efficient Solution of Multibody Systems [D] . Aboubakr, Ahmed K. 2014

机译：使用非惯性坐标和隐式积分高效求解多体系统
6. CTP and parS coordinate ParB partition complex dynamics and ParA-ATPase activation for ParABS-mediated DNA partitioning [O] . James A Taylor, Yeonee Seol, Jagat Budhathoki, 2021

机译：CTP和Pars坐标Parb分区复杂动态和帕拉布介导的DNA分区的ATPase激活
7. Semi-Implicit Time Integration of Atmospheric Flows with Characteristic-Based Flux Partitioning [O] . Ghosh, Debojyoti, Constantinescu, Emil M. 2016

机译：大气流动与半隐式时间积分基于特征的磁通分区
8. Using Diagonally Implicit Multistage Integration Methods for Solving OrdinaryDifferential Equations. Part 2: Implicit Methods [R] . VanWieren, J. 1997

机译：用对角隐式多级积分方法求解常微分方程。第2部分：隐含方法

Implicit integration with coordinate partitioning

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