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Diagonally Implicit Runge-Kutta Methods for Parabolic Equations in Conservation Law Form

机译：保守定律形式下抛物型方程的对角隐式Runge-Kutta方法

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摘要

Numerical performance of diagonally implicit Runge-Kutta (DIRK) methods applied to stiff initial value problems resulting from finite-difference semidiscretization of nonlinear parabolic equations is studied. The quasi linear parabolic initial boundary value problem in one space dimension is discretized with respect to the space variable. The resulting stiff ordinary differential equation system is solved numerically in the time variable by the DIRK method.

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作者
Vonfinckenstein, K. G. F.; Karasoezen, B.;
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年度 1986
页码 p.1-15
总页数 15
原文格式 PDF
正文语种 eng
中图分类工业技术;
关键词
Conservation laws; Parabolic differential equations; Runge-kutta method; Boundary value problems; Conservation equations; Finite difference theory;

机译：守恒定律;抛物微分方程; Runge-kutta方法;边值问题;守恒方程;有限差分理论;

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专利

1. ANALYSIS OF THE SPECTRAL STABILITY OF THE GENERALIZED RUNGE-KUTTA METHODS APPLIED TO INITIAL-BOUNDARY-VALUE PROBLEMS FOR EQUATIONS OF THE PARABOLIC TYPE. Ⅱ. IMPLICIT METHODS [J] . A. P. Yankovskii Journal of Mathematical Sciences . 2019,第2期

机译：抛物线型方程初-边值问题的广义Runge-Kutta方法的谱稳定性分析。 Ⅱ。隐式方法
2. Diagonally implicit Runge-Kutta methods for differential algebraic equations of indices two and three [J] . Skvortsov L.M. Computational mathematics and mathematical physics . 2010,第6期

机译：指数为2和3的微分代数方程的对角隐式Runge-Kutta方法
3. Nonlinear stability of explicit and diagonally implicit Runge-Kutta methods for neutral delay differential equations in Banach space [J] . Wang WS, Wen LP, Li SF Applied mathematics and computation . 2008,第2期

机译：Banach空间中立型时滞微分方程显式和对角隐式Runge-Kutta方法的非线性稳定性
4. Singly-Diagonally-Implicit Runge-Kutta Methods for Nonlinear Damping Equations [C] . Farshid Nazari, Abdolmajid Mohammadian, Martin Charron, Annual conference of the Canadian Society for Civil Engineering . 2013

机译：非线性阻尼方程的单对角隐式Runge-Kutta方法
5. Projected implicit Runge-Kutta methods for solving differential-algebraic equations. [D] . Woodson, Kenneth Mack, Jr. 1995

机译：求解隐式代数方程的投影隐式Runge-Kutta方法。
6. Diagonally Implicit Symplectic Runge-Kutta Methods with High Algebraic and Dispersion Order [O] . Y. H. Cong, C. X. Jiang -1

机译：具有高代数和色散阶的对角隐辛辛格Runge-Kutta方法
7. Diagonally Implicit Runge-Kutta Fourth Order Four-Stage Method for Linear Ordinary Differential Equations with Minimized Error Norm [O] . Nur Izzati Che Jawias, Fudziah Ismail, Mohamed Suleiman, 2014

机译：基于误差规范的线性常微分方程对角隐式跳动-Kutta四阶段方法
8. Diagonally Implicit Runge-Kutta Methods for Ordinary Differential Equations. A Review. [R] . Kennedy, C. A., Carpenter, M. H. 2016

机译：常微分方程的对角隐式Runge-Kutta方法。回顾。

Diagonally Implicit Runge-Kutta Methods for Parabolic Equations in Conservation Law Form

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