Results 291 to 300 of about 1,739,474 (329)

Fast higher-order derivative tensors with Rapsodia

Optimization Methods and Software, 2009
A number of practical problems in physics can be solved by using accurate higher-order derivatives. Such derivatives can be obtained with automatic differentiation. However, one has to be concerned with the complexity of computing higher-order derivative tensors even for a modest order and number of independents.
Isabelle Charpentier, Jean Utke
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Higher Order Derivatives of a Rational Bézier Curve

Graphical Models and Image Processing, 1995
Abstract In this paper, a convenient and effective recurrence formula for the higher order derivatives of a rational degree n Bezier curve is derived. The s th( s = 1, 2, …)-order derivatives of this curve can be represented as a fraction whose numerator is a vector expression of degree ( s + 1)( n - 1) and denominator is a polynomial of degree
Guo-Zhao Wang, Guo-Jin Wang
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On Lagrangians with Higher Order Derivatives

American Journal of Physics, 1972
Classical mechanics based on Lagrangians with higher order derivatives is investigated. It is found that this generalization does not lead to any new feature of the theory, apart from an increase of the dimensionality of phase space. Conserved quantities are also derived that reduce to the usual ones in the absence of higher derivatives.
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Higher-order derivative of uncertain process and higher-order uncertain differential equation

Fuzzy Optimization and Decision Making
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kaixi Zhang, Baoding Liu
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On the Derivation of Higher Order Root-Finding Methods

2007 American Control Conference, 2007
High order root-finding algorithms are constructed based on some canonical conditions and a generalized Taylor series. The convergence order is automatically determined using these canonical conditions. The proposed approaches resulted in deriving methods of any desired order including the Newton, Halley, and Ostrowski iterations. It is also shown that,
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Estimation of muscle activity using higher-order derivatives, static optimization, and forward-inverse dynamics.

Journal of Biomechanics, 2016
T. Yamasaki, Katsutoshi Idehara, Xin Xin
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Closed formulas for computing higher-order derivatives of functions involving exponential functions

Applied Mathematics and Computation, 2015
A. Xu, Zhongdi Cen
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Higher-Order Derivatives

2022
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Higher order derivatives

2008
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Three-phase-lag thermoelastic heat conduction model with higher-order time-fractional derivatives

Indian Journal of Physics, 2019
A. Abouelregal
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