Results 261 to 270 of about 112,714 (291)

Modern Taylor Series Method

2015 IEEE 13th International Scientific Conference on Informatics, 2015
Methods for numerical solutions of differential equations have been studied since the end of the last century. A large number of integration formulas have been published especially for solving special systems of differential equations. In general, it was not possible to choose the best method but for a subclass of tasks defined by similar properties ...
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Taylor Series Numerical Method in Structural Dynamics

Advanced Materials Research, 2008
Taylor series numerical method is a novel time integration method for structural dynamics. In comparison with the well-known ones, Taylor series method has high accuracy and good convergence characteristics and thus is a good alternative for solving structural dynamics problems.
Li Bin Zhao, Jian Yu Zhang, You Xuan Zhao   +2 more
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Performance of the Taylor series method for ODEs/DAEs

Applied Mathematics and Computation, 2005
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Stepsize selection in the rigorous defect control of Taylor series methods

Journal of Computational and Applied Mathematics, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
John M. Ernsthausen, Nedialko S. Nedialkov   +1 more
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Taylor series direct method for variational problems

Journal of the Franklin Institute, 1988
A direct method for solving variational problems using Taylor series is discussed. Properties of Taylor series are briefly presented and an operational matrix is utilized to solve the variational problems by means of a direct method. An illustrative example is given.
Razzaghi, Mohsen, Razzaghi, Mehdi
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Inverse coefficient problem by fractional Taylor series method

Annals of the University of Craiova Mathematics and Computer Science Series, 2023
This study focus on determining the unknown function of time or space in space-time fractional differential equation by fractional Taylor series method. A significant advantage of this method is that over-measured data is not used unlike most inverse problems. This advantage allows us to determine the unknown function with less error.
Bayrak Mine Aylin, Demir Ali
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Taylor series method with numerical derivatives for initial value problems

Journal of Computational Methods in Sciences and Engineering, 2004
The Taylor series method is one of the earliest analytic-numeric algorithms for approximate solution of initial value problems for ordinary differential equations. The main idea of the rehabilitation of these algorithms is based on the approximate calculation of higher derivatives using well-known technique for the partial differential equations.
Edit Miletics, Gyozo Molnárka
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Implicit extension of taylor series method for initial value problems

Journal of Computational Methods in Sciences and Engineering, 2003
The Taylor series method is one of the earliest analytic-numeric algorithms for approximate solution of initial value problems for ordinary differential equations. The main idea of the rehabilitation of these algorithms is based on the approximate calculation of higher derivatives using well-known technique for the partial differential equations.
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Taylor Series Method for second-order polynomial ODEs

2015 International Conference "Stability and Control Processes" in Memory of V.I. Zubov (SCP), 2015
An algorithm for numerical integration of nonlinear Lagrange equations is presented. Formulas for approximate solutions are derived using the Taylor Series Method. Radius of convergence of estimates and error bounds are given.
Viktor Latypov, Sergei Sokolov
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Sensitivity Analysis of ODES/DAES Using the Taylor Series Method

SIAM Journal on Scientific Computing, 2006
This paper studies the applicability of the Taylor method for the sensibility analysis of ODEs and DAEs. Extended automatic differentiation rules are introduced for the calculus of partial derivatives of Taylor series. The numerical method is implemented using an efficient variable-step variable-order scheme. Finally, some numerical tests are presented
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