STABILITY AND BOUNDEDNESS IN THE NUMERICAL SOLUTION OF INITIAL VALUE PROBLEMS

Spijker M. N.

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STABILITY AND BOUNDEDNESS IN THE NUMERICAL SOLUTION OF INITIAL VALUE PROBLEMS

机译：初始值问题数值解中的稳定性和界限

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摘要

This paper concerns the theoretical analysis of step-by-step methods for solving initial value problems in ordinary and partial differential equations.

机译：本文涉及对普通和部分微分方程求解初始值问题的逐步方法的理论分析。

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来源
《Mathematics of computation》 |2017年第308期|共22页
作者
Spijker M. N.;
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作者单位

Leiden Univ Dept Math POB 9512 NL-2300 RA Leiden Netherlands;

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原文格式 PDF
正文语种 eng
中图分类数学;
关键词
Numerical stability; circle condition; total-variation-diminishing (TVD); strong-stability-preserving (SSP); monotonicity; total-variation-bounded (TVB); boundedness; method of lines (MOL); linear multistep method;

机译：数值稳定性;圆形条件;总变化减少（TVD）;保存强度稳定性（SSP）;单调性;总变异有界（TVB）;有界;线条（MOL）的方法;线性多学分法;

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专利

1. STABILITY AND BOUNDEDNESS IN THE NUMERICAL SOLUTION OF INITIAL VALUE PROBLEMS [J] . Spijker M. N. Mathematics of computation . 2017,第308期

机译：初始值问题数值解中的稳定性和界限
2. Stability, Boundedness, and Lagrange Stability of Fractional Differential Equations with Initial Time Difference [J] . Muhammed?i?ek, Co?kunYakar, BülentO?ur ScientificWorldJournal . 2014,第3期

机译：具有初始时差的分数微分方程的稳定性，界限和拉格朗日稳定性
3. Special boundedness properties in numerical initial value problems [J] . W. Hundsdorfer, A. Mozartova, M.N. Spijker BIT numerical mathematics . 2011,第4期

机译：数值初值问题中的特殊有界性
4. NUMERICAL SOLUTION OF WAVY-STRATIFIED FLUID-FLUID FLOW WITH THE ONE-DIMENSIONAL TWO-FLUID MODEL: STABILITY, BOUNDEDNESS, CONVERGENCE AND CHAOS [C] . William D. Fullmer, Alejandro Clausse, Avinash Vaidheeswaran, ASME joint US-European Fluids Engineering Division summer meeting . 2014

机译：一维二维流体模型的波浪分层流体流的数值解：稳定性，有界性，收敛性和混沌
5. Computational complexity of numerical solutions of initial value problems for differential algebraic equations. [D] . Ilie, Silvana. 2006

机译：微分代数方程初值问题数值解的计算复杂性。
6. Stability Boundedness and Lagrange Stability of Fractional Differential Equations with Initial Time Difference [O] . Muhammed Çiçek, Coşkun Yakar, Bülent Oğur -1

机译：具有初始时间差的分数阶微分方程的稳定性有界性和Lagrange稳定性
7. Stability and boundedness in the numerical solution of initial value problems [O] . M. N. Spijker 2017

机译：初始值问题数值解中的稳定性和界限
8. Linear Stability Analysis in the Numerical Solution of Initial Value Problems [R] . van Dorsselaer, J. L. M., Kraaijevanger, J. F. B. M., Spijker, M. N. 1992

机译：初值问题数值解的线性稳定性分析

STABILITY AND BOUNDEDNESS IN THE NUMERICAL SOLUTION OF INITIAL VALUE PROBLEMS

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