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Quadratized Taylor series methods for ODE numerical integration
Applied Mathematics and Computation, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Alessandro Borri +2 more
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Performance of the Taylor series method for ODEs/DAEs
Applied Mathematics and Computation, 2005zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Roberto Barrio
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Trefftz Methods and Taylor Series
Archives of Computational Methods in Engineering, 2019The paper discusses Trefftz discretization techniques with a focus on their coupling with shape functions computed by the method of Taylor series. The paper highlights are, on one hand the control of ill-conditioning and the solving of large scale problems, on the other hand the applications to non-linear Partial Differential Equations. Indeed, despite
Jie Yang +6 more
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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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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 Kunovsky +4 more
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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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Inverse coefficient problem by fractional Taylor series method
Annals of the University of Craiova Mathematics and Computer Science Series, 2023This 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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Stepsize selection in the rigorous defect control of Taylor series methods
Journal of Computational and Applied Mathematics, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
John M. Ernsthausen +1 more
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Taylor Series Numerical Method in Structural Dynamics
Advanced Materials Research, 2008Taylor 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 +2 more
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Taylor series direct method for variational problems
Journal of the Franklin Institute, 1988A 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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