Results 221 to 230 of about 96,609 (262)
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2010
An alternative is to use a more sophisticated recurrence relation at each step in order to achieve greater accuracy (for the same value of h) or a similar level of accuracy with a larger value of h (and, therefore, fewer steps).
David F. Griffiths, Desmond J. Higham
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An alternative is to use a more sophisticated recurrence relation at each step in order to achieve greater accuracy (for the same value of h) or a similar level of accuracy with a larger value of h (and, therefore, fewer steps).
David F. Griffiths, Desmond J. Higham
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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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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 Method for second-order polynomial ODEs
2015 International Conference "Stability and Control Processes" in Memory of V.I. Zubov (SCP), 2015An 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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Radial basis Taylor series method and its applications
Engineering Computations, 2020Purpose The study aims to present a new meshless method based on the Taylor series expansion. The compact supported radial basis functions (CSRBFs) are very attractive, can be considered as a numerical tool for the engineering problems and used to obtain the trial solution and its derivatives without differentiating the basis functions for a meshless ...
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The positive properties of modern Taylor series method
2015 IEEE 13th International Scientific Conference on Informatics, 2015The paper deals with the computation which is based on an original mathematical method. This method uses the Taylor series for solving differential equations in a non-traditional way.
Jiri Kunovsky +4 more
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Multi-rate Integration and Modern Taylor Series Method
Tenth International Conference on Computer Modeling and Simulation (uksim 2008), 2008It is the aim of the paper to describe both new developed Modern Taylor Series Method (MTSM) and well-known multi-rate integration method in real-time simulations. An example is used to demonstrate methodology of both integration methods. To show how simple it is to solve problem using Taylor series the multi-rate integration is described in a great ...
Jirí Kunovský +4 more
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System control using the Modern Taylor series method
AIP Conference Proceedings, 2018This paper presents the new numerical method based on the Taylor series. This method is used to solve a control problem with a simple system. The paper also presents the control problem and the numerical methods used to solve it. It also compares the results obtained by state of the art solvers and the proposed numerical method.This paper presents the ...
Petr Veigend, Vclav Åtek, Jir Kunovsk
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Recursive Taylor Series Expansion Method for Rigid-Body Molecular Dynamics
Journal of Chemical Theory and Computation, 2011Molecular dynamics computer simulation methods are very important for understanding mechanisms of chemical, physical, and biological processes. The reliability of molecular dynamics simulations strongly depends on the integration schemes used in the simulations.
Alexey V, Akimov, Anatoly B, Kolomeisky
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Taylor Series Numerical Method in Transient Heat Conduction Analysis
Applied Mechanics and Materials, 2013Taylor series numerical method (TSNM) is extended to the field of transient heat conduction. Theoretical description of TSNM for transient heat conduction problems is presented. Furthermore, the algorithm is realized and embedded in commercial software ANSYS®.
Li Bin Zhao, Yuan Wei Li, Feng Rui Liu
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Taylor-series method for two-nucleon transfer form factors
Nuclear Physics A, 1976Abstract A new method is developed for transforming the infinite or finite well two-nucleon wave functions from individual coordinates to relative and c.m. coordinates by expanding two-nucleon wave functions around the c.m. of the system. Finite size corrections to the point approximation of the two-nucleon transfer form factors with harmonic ...
A. Săndulescu, I. Silişteanu
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