نتایج جستجو برای Ordinary differential equation

تعداد نتایج: 315960  

2017
Olivier Bournez, Amaury Pouly,

An astonishing fact was established by Lee A. Rubel in 81: there exists a fixed non-trivial fourthorder polynomial differential algebraic equation (DAE) such that for any positive continuous function φ on the reals, and for any positive continuous function (t), it has a C∞ solution with |y(t) − φ(t)| < (t) for all t. Lee A. Rubel provided an explicit example of such a polynomial DAE. Other exam...

2017
Niels Richard, Frederik Riis Mikkelsen, Niels Richard Hansen,

Ordinary differential equation systems are used to model abundances of chemical species as deterministic continuous time processes. Identification of the system from noisy data is a major challenge with applications in systems biology – such as to the inference of phosphoprotein interaction networks as in [3]. For mass action kinetics the system structure – the network – is encoded via sparsity...

Journal: :Biometrics 2011
J Cao, L Wang, J Xu,

Applied scientists often like to use ordinary differential equations (ODEs) to model complex dynamic processes that arise in biology, engineering, medicine, and many other areas. It is interesting but challenging to estimate ODE parameters from noisy data, especially when the data have some outliers. We propose a robust method to address this problem. The dynamic process is represented with a n...

2015
Oscar A Linares, William E Schiesser, Jeffrey Fudin, Thien C Pham, Jeffrey J Bettinger, Roy O Mathew, Annemarie L Daly,

BACKGROUND There is a need to have a model to study methadone's losses during hemodialysis to provide informed methadone dose recommendations for the practitioner. AIM To build a one-dimensional (1-D), hollow-fiber geometry, ordinary differential equation (ODE) and partial differential equation (PDE) countercurrent hemodialyzer model (ODE/PDE model). METHODOLOGY We conducted a cross-section...

In this paper an exponentially fitted finite difference method is presented for solving singularly perturbed two-point boundary value problems with the boundary layer. A fitting factor is introduced and the model equation is discretized by a finite difference scheme on an uniform mesh. Thomas algorithm is used to solve the tri-diagonal system. The stability of the algorithm is investigated. It ...

2008
Gianluca Crippa,

Sunto. – In this note we survey some recent results on the well-posedness of the ordinary differential equation with non-Lipschitz vector fields. We introduce the notion of regular Lagrangian flow, which is the right concept of solution in this framework. We present two different approaches to the theory of regular Lagrangian flows. The first one is quite general and is based on the connection ...

2013
Wei Xiao, Yin Jin, Darong Lai, Xinyi Yang, Yuanhua Liu, Christine Nardini,

GOAL: The NTW package allows the computation of the interaction network of n genes (A, nxn) based on m independent experiments collecting gene expression profiles (X, nxm) with or without the associated transcriptional pertubation matrix (P, nxm, contains the direct targets of each of the m perturbation done on the system). The approach is based on ordinary differential equations (ODE) and 3 op...

Journal: :J. Comput. Physics 2011
Changpin Li, An Chen, Junjie Ye,

Nowadays, fractional calculus are used to model various different phenomena in nature, but due to the non-local property of the fractional derivative, it still remains a lot of improvements in the present numerical approaches. In this paper, some new numerical approaches based on piecewise interpolation for fractional calculus, and some new improved approaches based on the Simpson method for th...

Journal: :Journal of nonparametric statistics 2011
Yichao Wu,

Efron, Hastie, Johnstone and Tibshirani (2004) proposed Least Angle Regression (LAR), a solution path algorithm for the least squares regression. They pointed out that a slight modification of the LAR gives the LASSO (Tibshirani, 1996) solution path. However it is largely unknown how to extend this solution path algorithm to models beyond the least squares regression. In this work, we propose a...

1997
ULRICH NOWAK, SUSANNA GEBAUER, Ulrich Nowak, Susanna Gebauer,

Benchmarking of ODE methods has a long tradition. Several sets of test problems have been developed and new problems are still collected. So, a whole variety of problems can be used to check the eeciency of a method under investigation. In general, eeciency is measured by the amount of work which is necessary to get a reliable solution for a prescribed accuracy. In order to quantify the term \a...

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