Two step Runge-Kutta-Nystroem methods based on algebraic polynomials

B. PATERNOSTER

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Two step Runge-Kutta-Nystroem methods based on algebraic polynomials

机译：基于代数多项式的两步Runge-Kutta-Nystroem方法

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We consider the new family of two step Runge-Kutta-Nystroem methods for the numerical integration of y" = f(x,y). We derive the conditions to obtain two step Runge-Kutta-Nystroem methods which integrate algebraic polynomials exactly and analyze the one-stage case.

机译：我们考虑了用于y“ = f（x，y）的数值积分的新的两步Runge-Kutta-Nystroem方法。我们推导出了获得两步Runge-Kutta-Nystroem方法的条件，该方法可以精确地积分代数多项式并进行分析。一阶段的情况。

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《Rendiconti di Matematica e delle sue Applicazioni》 |2003年第ii期|p.277-288|共12页
作者
B. PATERNOSTER;
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作者单位

Dipartimento di Matematica e Informatica -Universita di Salerno (Italia) -Via S. Allende, 84081 Baronissi -Salerno (Italia);

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原文格式 PDF
正文语种 eng
中图分类数学;
关键词
numerical methods for ordinary differential equations -runge-kutta-nystroem methods; two step runge-kutta methods;

机译：常微分方程的数值方法-runge-kutta-nystroem方法;两步runge-kutta方法;

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2. Functionally-fitted explicit pseudo two-step Runge-Kutta-Nystroem methods [J] . N.S. Hoang Applied numerical mathematics . 2015,第juna期

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3. Stability analysis of frequency and step length dependent Runge-Kutta-Nystroem methods [J] . M. Carpentieri, B. Paternoster Future generation computer systems . 2006,第4期

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4. A General Family of Two Step Runge-Kutta-Nystroem Methods for y″ = f(x, y) Based on Algebraic Polynomials [C] . Beatrice Paternoster International Conference on Computational Science(ICCS 2006) pt.4; 20060528-31; Reading(GB) . 2006

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5. College student competency and attitudes in algebra classes: A comparison of traditional and online delivery methods in exponents and polynomials concepts. [D] . Huang, Kai-Yi Clark. 2012

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7. Two Step Runge-Kutta-Nyström Methods for Oscillatory Problems Based on Mixed Polynomials [O] . Beatrice Paternoster 2003

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8. Explicit Parallel Two-Step Runge-Kutta-Nystroem Methods [R] . huu Cong, N. 1994

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Two step Runge-Kutta-Nystroem methods based on algebraic polynomials

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