Titlebook: Exponential Fitting; Liviu Gr. Ixaru,Guido Berghe Book 2004 Springer Science+Business Media B.V. 2004 Interpolation.Mathematica.computer.c

召喚

書目名稱Exponential Fitting影響因子(影響力)




書目名稱Exponential Fitting影響因子(影響力)學(xué)科排名




書目名稱Exponential Fitting網(wǎng)絡(luò)公開度




書目名稱Exponential Fitting網(wǎng)絡(luò)公開度學(xué)科排名




書目名稱Exponential Fitting被引頻次




書目名稱Exponential Fitting被引頻次學(xué)科排名




書目名稱Exponential Fitting年度引用




書目名稱Exponential Fitting年度引用學(xué)科排名




書目名稱Exponential Fitting讀者反饋




書目名稱Exponential Fitting讀者反饋學(xué)科排名

Dedication

大包裹

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

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

Dario Pacino,Rune M?ller JensenSince the original papers of Runge [24] and Kutta [17] 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 [4], [5], [12], [18]. Kutta [17] formulated the general scheme of what is now called a Runge-Kutta method.

狂熱文化

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.

狂熱文化

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

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

Runge-Kutta Solvers for Ordinary Differential Equations,Since the original papers of Runge [24] and Kutta [17] 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 [4], [5], [12], [18]. Kutta [17] formulated the general scheme of what is now called a Runge-Kutta method.

ARCHE

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.