召唤
发表于 2025-3-21 19:50:32
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Dedication
发表于 2025-3-21 22:27:51
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大包裹
发表于 2025-3-22 02:37:37
V. Aschoff,H. Opitz,H. Stute,G. StuteIn this chapter we present the main mathematical elements of the exponential fitting procedure. It will be seen that this procedure is rather general. However, later on in this book the procedure will be mainly applied in the restricted area of the generation of formulae and algorithms for functions with oscillatory or hyperbolic variation.
透明
发表于 2025-3-22 05:15:57
Overview of retailing: the futureA series of ef formulae tuned on functions of the form (3.38) or (3.39) are derived here by the procedure described in the previous chapter. We construct the ef coefficients for approximations of the first and the second derivative of .(.), for a set of quadrature rules, and for some simple interpolation formulae.
散布
发表于 2025-3-22 10:23:18
Dario Pacino,Rune Møller JensenSince the original papers of Runge and Kutta a great number of papers and books have been devoted to the properties of Runge-Kutta methods. Reviews of this material can be found in , , , . Kutta formulated the general scheme of what is now called a Runge-Kutta method.
狂热文化
发表于 2025-3-22 13:08:54
Introduction,The simple approximate formula for the computation of the first derivative of a function .(.),. is known to work well when .(.) is smooth enough. However, if .(.) is an oscillatory function of the form . with smooth ..(.) and ..(.), the slightly modified formula .where., becomes appropriate.
狂热文化
发表于 2025-3-22 20:02:22
Mathematical Properties,In this chapter we present the main mathematical elements of the exponential fitting procedure. It will be seen that this procedure is rather general. However, later on in this book the procedure will be mainly applied in the restricted area of the generation of formulae and algorithms for functions with oscillatory or hyperbolic variation.
Vulnerary
发表于 2025-3-22 22:52:48
Numerical Differentiation, Quadrature and Interpolation,A series of ef formulae tuned on functions of the form (3.38) or (3.39) are derived here by the procedure described in the previous chapter. We construct the ef coefficients for approximations of the first and the second derivative of .(.), for a set of quadrature rules, and for some simple interpolation formulae.
ALLEY
发表于 2025-3-23 03:51:03
Runge-Kutta Solvers for Ordinary Differential Equations,Since the original papers of Runge and Kutta a great number of papers and books have been devoted to the properties of Runge-Kutta methods. Reviews of this material can be found in , , , . Kutta formulated the general scheme of what is now called a Runge-Kutta method.
ARCHE
发表于 2025-3-23 05:57:45
https://doi.org/10.1007/978-3-663-04396-6d are oscillatory or with a variation well described by hyperbolic functions the technique exhibits some helpful features. This chapter aims at presenting these features and at formulating a simple algorithm-like flow chart to be followed in the current practice.