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of 59
pro vyhledávání: '"Wayne H. Enright"'
Publikováno v:
Springer Proceedings in Mathematics & Statistics ISBN: 9783030635909
We consider the parameter estimation problem for parameterized systems of ordinary differential equations (ODEs). This problem involves finding the set of parameters that best fit a set of observed data. In particular, we consider techniques for gene
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::bda7e91336b3bfa96ac58164311fb479
https://doi.org/10.1007/978-3-030-63591-6_25
https://doi.org/10.1007/978-3-030-63591-6_25
Autor:
Jonathan Calver, Wayne H. Enright
Publikováno v:
Numerical Algorithms. 74:1101-1117
We investigate the performance of the adjoint approach and the variational approach for computing the sensitivities of the least squares objective function commonly used when fitting models to observations. We note that the discrete nature of the obj
Publikováno v:
Numerical Algorithms. 68:791-812
Models based on stochastic differential equations are of high interest today due to their many important practical applications. Thus the need for efficient and accurate numerical methods to approximate their solution. In this paper, we propose sever
Autor:
Bo Wang, Wayne H. Enright
Publikováno v:
SIAM Journal on Scientific Computing. 35:A2718-A2737
Parameter estimation for ODEs is an important topic in numerical analysis. In this paper, we present a novel approach to address this inverse problem that can be applied to differential equations that may include delay terms. Cross-entropy algorithms
Autor:
Mohammad Shakourifar, Wayne H. Enright
Publikováno v:
SIAM Journal on Scientific Computing. 35:A1011-A1023
A higher level of realism can be achieved by incorporating distributed delays in the mathematical models described by differential equations. In this paper, we introduce an adaptive stepsize selection strategy resulting in an approximate solution who
Autor:
Mohammad Shakourifar, Wayne H. Enright
Publikováno v:
BIT Numerical Mathematics. 52:725-740
Standard software based on the collocation method for differential equations delivers a continuous approximation (called the collocation solution) which augments the high order discrete approximate solution that is provided at mesh points. This conti
Autor:
Hossein Zivari-Piran, Wayne H. Enright
Publikováno v:
SIAM Journal on Scientific Computing. 34:A2704-A2717
In this paper, we derive an equation governing the dynamics of first-order forward sensitivities for a general system of parametric neutral delay differential equations. We also derive a formula which identifies the size of jumps that appear at disco
Autor:
Wayne H. Enright, Mohammad Shakourifar
Publikováno v:
SIAM Journal on Scientific Computing. 33:1134-1158
Volterra integro-differential equations with time-dependent delay arguments can provide us with realistic models of many real-world phenomena. Delayed Lokta-Volterra predator-prey systems arise in Ecology and are well-known examples of delay Volterra
Autor:
Wayne H. Enright, Hossein Zivari-Piran
Publikováno v:
Numerical Algorithms. 53:397-417
In this paper we propose a new framework for designing a delay differential equation (DDE) solver which works with any supplied initial value problem (IVP) solver that is based on a standard step-by-step approach, such as Runge-Kutta or linear multi-
Autor:
Li Yan, Wayne H. Enright
Publikováno v:
Numerical Algorithms. 53:239-260
In the numerical solution of ODEs, it is now possible to develop efficient techniques that will deliver approximate solutions that are piecewise polynomials. The resulting methods can be designed so that the piecewise polynomial will satisfy a pertur