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On the Construction of Highly Stable, Explicit, Numerical Methods for Integrating Coupled Ordinary Differential Equations with Parasitic Eigenvalues

机译：关于耦合常微分方程与寄生特征值积分的高稳定显式数值方法的构造

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作者
Lomax, H.;
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作者单位

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年度 1968
页码 1-4
总页数 4
原文格式 PDF
正文语种 eng
中图分类工业技术;
关键词
Differential equations ; Eigenvalues ; Numerical integration ; Matrices (mathematics) ; Nonlinear equations ; Optimization ; Theorem proving;

机译：微分方程;特征值;数值积分;矩阵（数学）;非线性方程;优化;定理证明;

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1. Construction of highly stable two-step W-methods for ordinary differential equations [J] . Z. Jackiewicz, H. Podhaisky, R. Weiner Journal of Computational and Applied Mathematics . 2004,第2期

机译：常微分方程的高度稳定两步W方法的构造
2. A Five-Step P-Stable Method for the Numerical Integration of Third Order Ordinary Differential Equations [J] . D. O. Awoyemi, S. J. Kayode, L. O. Adoghe American Journal of Computational Mathematics . 2014,第3期

机译：三阶常微分方程数值积分的五步P稳定方法
3. A Numerical Integration Technique for Ordinary Differential Equations with Widely Separated Eigenvalues [J] . IBM Journal of Research and Development . 1967,第5期

机译：特征值分开的常微分方程的数值积分技术。
4. On a Comparison of Several Numerical Integration Methods for Ordinary Systems of Differential Equations [C] . Anatoliy G. Korotchenko, Valentina M. Smoryakova International conference on mumerical computations: theory and algorithms . 2019

机译：常微分方程组几种数值积分方法的比较
5. AN ALGORITHM FOR THE DETECTION AND INTEGRATION OF HIGHLY OSCILLATORY ORDINARY DIFFERENTIAL EQUATIONS USING A GENERALIZED UNIFIED MODIFIED DIVIDED DIFFERENCE REPRESENTATION. [D] . GALLIVAN, KYLE ANDREW. 1983

机译：利用广义统一的修正的除数表示法检测和积分高振荡的常微分方程的算法。
6. Numerical Discretization-Based Estimation Methods for Ordinary Differential Equation Models via Penalized Spline Smoothing with Applications in Biomedical Research [O] . Hulin Wu, Hongqi Xue, Arun Kumar -1

机译：普通微分方程模型的数值离散化估计方法通过生物医学研究中的应用与惩罚样条平滑平滑
7. Variable-Coefficient A-Stable Explicit Runge-Kutta Methods(Numerical Ordinary Differential Equations and Related Topics) [O] . Nakashima Masaharu 1993

机译：变系数A稳定显式Runge-Kutta方法（数值常微分方程和相关主题）
8. On the construction of highly stable, explicit, numerical methods for integrating coupled ordinary differential equations with parasitic eigenvalues [R] . Lomax, H. 1968

机译：关于积分耦合常微分方程与寄生特征值的高稳定，显式，数值方法的构造

On the Construction of Highly Stable, Explicit, Numerical Methods for Integrating Coupled Ordinary Differential Equations with Parasitic Eigenvalues

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