Works Published in 2003
Displaying works 41 - 45 of 45 in total
Sorted by most recent date added to the index first, which may not be the same as publication date order.
2003 journal article
Development of a biologically-based controlled growth and differentiation model for developmental toxicology
JOURNAL OF MATHEMATICAL BIOLOGY, 46(1), 1–16.
author keywords: teratology; multistate process; cellular kinetics; numerical simulation
MeSH headings : Animals; Cell Differentiation / physiology; Cell Division / physiology; Markov Chains; Models, Biological; Stem Cells / cytology; Stem Cells / physiology; Stochastic Processes; Toxicology / methods
TL;DR:
A mathematical model is developed with a highly controlled birth and death process for precursor cells that is both biologically- and statistically-based and easily amenable to the expansion of more complicated models of the developmental process such as the one presented here.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(Web of Science; OpenAlex)
11. Sustainable Cities and Communities
(Web of Science)
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018
2003 journal article
Solving a nonlinear problem in magneto-rheological fluids using the immersed interface method
JOURNAL OF SCIENTIFIC COMPUTING, 19(1-3), 253–266.
author keywords: non-linear interface problem; magneto-rheological fluid; maximum principal preserving scheme; immersed interface method; level set method; substitution method
TL;DR:
A finite difference method based on Cartesian grids and the maximum principle preserving immersed interface method is proposed for the nonlinear elliptic interface problems discussed in this paper and is nearly second order accurate in the infinity norm.
(via Semantic Scholar)
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018
2003 journal article
The postprocessing Galerkin and nonlinear Galerkin methods - A truncation analysis point of view
SIAM JOURNAL ON NUMERICAL ANALYSIS, 41(2), 695–714.
author keywords: dissipative equations; spectral methods; approximate inertial manifolds; nonlinear Galerkin methods; postprocessing algorithm; multigrid
TL;DR:
This work revisits the postprocessing algorithm and gives a justification from a classical truncation analysis point of view, and shows that postprocessedGalerkin is a natural leading order method, more natural than the standard Galerkin method, for approximating solutions of parabolic dissipative PDEs.
(via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018
2003 article
Pseudotransient continuation and differential-algebraic equations
SIAM JOURNAL ON SCIENTIFIC COMPUTING, Vol. 25, pp. 553–569.
author keywords: pseudotransient continuation; nonlinear equations; steady-state solutions; global convergence; differential-algebraic equations; multirate systems
TL;DR:
A global convergence result for pseudotransient continuation applied to DAEs of index 1 is presented, and it is illustrated with numerical experiments on model incompressible flow and reacting flow problems, in which a constraint is employed to step over acoustic waves.
(via Semantic Scholar)
citeseerx.ist.psu.edu (repository)
Source: Web Of Science
Added: August 6, 2018
2003 journal article
An overview of the immersed interface method and its applications
Taiwanese Journal of Mathematics, 7(1), 1–49.
TL;DR:
The immersed interface method for various problems is introduced, its recent advances and related software packages are discussed, and some of its applications are reviewed.
(via Semantic Scholar)
Sources: NC State University Libraries, NC State University Libraries
Added: August 6, 2018
Citation Index includes data from a number of different sources. If you have questions about the sources of data in the Citation Index or need a set of data which is free to re-distribute, please contact us.
Certain data included herein are derived from the Web of Science© and InCites© (2024) of Clarivate Analytics. All rights reserved. You may not copy or re-distribute this material in whole or in part without the prior written consent of Clarivate Analytics.
