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Construction of Finite Difference Schemes Having Special Properties for Ordinary and Partial Differential Equations

机译：具有常微分方程和偏微分方程特殊性质的有限差分格式的构造

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Work on the construction of finite difference models of differential equations having zero truncation errors is summarized. Both linear and nonlinear unidirectional wave equations are discussed. Results regarding the construction of zero truncation error schemes for the full wave equation and Burger's equation are also briefly reported.

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作者
Mickens, R. E.;
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年度 1984
页码 p.1-5
总页数 5
原文格式 PDF
正文语种 eng
中图分类工业技术;
关键词
Differential equations; Finite difference theory; Problem solving; Boundary value problems; Nonlinear equations; Truncation errors;

机译：微分方程;有限差分理论;问题求解;边值问题;非线性方程;截断误差;

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专利

1. THE MULTIPLIER METHOD TO CONSTRUCT CONSERVATIVE FINITE DIFFERENCE SCHEMES FOR ORDINARY AND PARTIAL DIFFERENTIAL EQUATIONS [J] . Wan Andy T. S., Bihlo Alexander, Nave Jean-Christophe SIAM Journal on Numerical Analysis . 2016,第1期

机译：构造普通和偏微分方程守恒有限差分格式的乘子法。
2. On the Construction of Nonclassical Finite-Difference Schemes for Ordinary Differential Equations [J] . M. V. Bulatov Differential equations: A translation of differensial'nye uraveniya . 2008,第4期

机译：关于常微分方程非经典有限差分格式的构造
3. Finite difference methods for ordinary and partial differential equations: steady-state and time-dependent problems (Classics in Applied Mathematics) [J] . Chenglie Hu Computing reviews . 2009,第6期

机译：常微分方程和局部微分方程的有限差分方法：稳态和时变问题（应用数学经典）
4. An unconditionally stable finite difference scheme systems described by second order partial differential equations [C] . Augusta Petr, Cichy Blazej, Galkowski Krzysztof, 2015 IEEE 9th International Workshop on Multidimensional (nD) Systems . 2015

机译：由二阶偏微分方程描述的无条件稳定有限差分格式系统
5. Twin solutions of even order boundary value problems for ordinary differential equations and finite difference equations. [D] . Sun, Xun. 2009

机译：常微分方程和有限差分方程偶数边值问题的孪生解。
6. High accuracy finite difference approximation to solutions of elliptic partial differential equations [O] . Robert E. Lynch, John R. Rice 1978

机译：椭圆型偏微分方程解的高精度有限差分近似
7. The multiplier method to construct conservative finite difference schemes for ordinary and partial differential equations [O] . Wan, Andy T. S., Bihlo, Alexander, Nave, Jean-Christophe 2015

机译：构造保守有限差分的乘数法普通和偏微分方程的方案

Construction of Finite Difference Schemes Having Special Properties for Ordinary and Partial Differential Equations

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