High algebraic, high phase-lag order embedded Numerov-type methods for oscillatory problems

Tsitouras C.; Simos TE.

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High algebraic, high phase-lag order embedded Numerov-type methods for oscillatory problems

机译：求解振动问题的高代数，高相位滞后阶嵌入式Numerov型方法

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An embedded Numerov-type method of algebraic order eight with phase-lag orders 10-20 for the numerical integration of second-order periodic initial-value problems is developed in this paper. The method has 10 stages. An error estimation, based on varying the phase-lag order, is introduced and an embedded technique is described. Each method of the embedded pair has a large interval of periodicity. Theoretical evidence and numerical and theoretical results obtained for several well-known problems show the efficiency of the new methods. (C) 2002 Elsevier Science Inc. All rights reserved. [References: 22]

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《Applied mathematics and computation》 |2002年第1期|共11页
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Tsitouras C.; Simos TE.;
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中图分类应用数学;
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1. High algebraic, high phase-lag order embedded Numerov-type methods for oscillatory problems [J] . Tsitouras C., Simos TE. Applied mathematics and computation . 2002,第1期

机译：求解振动问题的高代数，高相位滞后阶嵌入式Numerov型方法
2. Trigonometric-Fitted Explicit Numerov-Type Method with Vanishing Phase-Lag and Its First and Second Derivatives [J] . Tsitouras Ch., Simos T. E. Mediterranean journal of mathematics . 2018,第4期

机译：具有消失的阶段滞后和第一和第二衍生物的三角拟合的明确编号型方法
3. NUMEROV-TYPE METHODS FOR OSCILLATORY LINEAR INITIAL VALUE PROBLEMS [J] . I. TH. FAMELIS International Journal of Modern Physics, C. Physics and Computers . 2009,第3期

机译：振动线性初始值问题的数值方法
4. A Family of High Algebraic Order Embedded Explicit Six-Step Methods with Vanished Phase-Lag and its Derivatives for the Numerical Solution of the Schrodinger Equation and Related Problems [C] . Ibraheem Alolyan, T.E. Simos International Conference of Computational Methods in Sciences and Engineering . 2016

机译：一个高代数级嵌入式六步方法，具有消失的阶段滞后及其衍生物，用于施罗德格方程和相关问题的数值解
5. Linearly and nonlinearly optimized weighted essentially non-oscillatory methods for compressible turbulence. [D] . Taylor, Ellen Meredith. 2007

机译：线性和非线性优化加权可压缩湍流的基本非振荡方法。
6. Decomposing Neural Synchrony: Toward an Explanation for Near-Zero Phase-Lag in Cortical Oscillatory Networks [O] . Rajasimhan Rajagovindan, Mingzhou Ding 2008

机译：分解神经同步：对皮层振荡网络中近零相位滞后的解释。
7. Multiderivative methods of eighth algebraic order with minimal phase-lag for the numerical solution of the radial Schrödinger equation [O] . Sakas D.P., Simos T.E. 2005

机译：径向薛定ding方程数值解的具有最小相位滞后的八代数阶多导数方法

High algebraic, high phase-lag order embedded Numerov-type methods for oscillatory problems

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