Works Published in 1999
Displaying works 81 - 100 of 129 in total
Sorted by most recent date added to the index first, which may not be the same as publication date order.
1999 journal article
Undercompressive shocks for a system of hyperbolic conservation laws with cubic nonlinearity
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 229(1), 344–362.
doi.org (publisher)
UN Sustainable Development Goal Categories
15. Life on Land
(OpenAlex)
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018
1999 personal communication
Some comments concerning the discrete eigenvalue
Source: NC State University Libraries
Added: August 6, 2018
1999 journal article
Pointwise convergence of approximation schemes for parameter estimation in parabolic equations
APPLIED MATHEMATICS LETTERS, 12(7), 27–30.
author keywords: finite elements; bicubic splines; 2-D domain; transport models; parameter estimation
Source: Web Of Science
Added: August 6, 2018
1999 journal article
DAEs arising from traveling wave solutions of PDEs II
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 37(1), 15–34.
author keywords: differential algebraic equation; magnetohydrodynamics; dynamical systems
TL;DR:
A family of DAEs that arise in this manner from the Magnetohydrodynamics equations are examined, of interest in their own right, as a source of test problems for DAE numerical integrators, and because of their relationship to the MHD equations.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
11. Sustainable Cities and Communities
(Web of Science)
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018
1999 journal article
Approximation results for parameter estimation in a class of abstract nonlinear hyperbolic systems
APPLIED MATHEMATICS LETTERS, 12(6), 129–133.
author keywords: nonlinear hyperbolic systems; parameter estimation; approximation
TL;DR:
An approximation framework and theoretical convergence results for a class of parameter estimation problems for general abstract nonlinear hyperbolic systems, including as a special case those modeling a large class of nonlinear elastomers.
(via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018
1999 journal article
A minimal mechanism for bacterial pattern formation
PROCEEDINGS OF THE ROYAL SOCIETY B-BIOLOGICAL SCIENCES, 266(1416), 299–304.
Contributors: R. Tyson *, S. Lubkin n & J. Murray*
author keywords: chemotaxis; bacterial patterns; mathematical modelling; bacterial aggregates; spots; stripes
MeSH headings : Bacterial Adhesion / physiology; Chemotaxis / physiology; Citric Acid Cycle; Culture Media; Escherichia coli / cytology; Escherichia coli / physiology; Models, Biological; Salmonella typhimurium / cytology; Salmonella typhimurium / physiology
TL;DR:
A mathematical model is presented which captures all three of the pattern forming processes experimentally observed in both E. coli and S. typhimurium, using a minimum of assumptions.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(Web of Science)
Sources: Web Of Science, ORCID
Added: August 6, 2018
1999 journal article
Undercompressive shocks and Riemann problems for scalar conservation laws with non-convex fluxes
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 129(1999), 733–754.
UN Sustainable Development Goal Categories
15. Life on Land
(OpenAlex)
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018
1999 journal article
Optimal design of a high pressure organometallic chemical vapor deposition reactor
MATHEMATICAL AND COMPUTER MODELLING, 29(8), 65–80.
Source: Web Of Science
Added: August 6, 2018
1999 journal article
NC 109 tomato breeding line: 'Mountain Fresh' F-1 hybrid
HortScience, 34(5), 941–942.
Source: NC State University Libraries
Added: August 6, 2018
1999 journal article
Multiple internal layer solutions generated by spatially oscillatory perturbations
JOURNAL OF DIFFERENTIAL EQUATIONS, 154(2), 364–418.
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(Web of Science)
Source: Web Of Science
Added: August 6, 2018
1999 journal article
Monte Verde tomato
HortScience, 34(5), 940.
Source: NC State University Libraries
Added: August 6, 2018
1999 journal article
Level two vertex representations of G(2)((1))
COMMUNICATIONS IN ALGEBRA, 27(9), 4355–4362.
author keywords: Kac-Moody algebras; vertex operators
Source: Web Of Science
Added: August 6, 2018
1999 journal article
Distributed matrix-free solution of large sparse linear systems over finite fields
ALGORITHMICA, 24(3-4), 331–348.
author keywords: distributed symbolic computation; sparse linear systems; block Wiedemann; outer loop parallelization
TL;DR:
An outer loop parallelization that works well in conjunction with a black box abstraction for the coefficient matrix is performed that can be run on a network cluster of UNIX workstations as well as on an SP-2 multiprocessor.
(via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018
1999 journal article
A discrete-ordinates solution for a polarization model with complete frequency redistribution
ASTROPHYSICAL JOURNAL, 513(1), 370–382.
author keywords: polarization; radiative transfer
Source: Web Of Science
Added: August 6, 2018
1999 journal article
Numerical analysis of coupled systems of nonlinear parabolic equations
SIAM JOURNAL ON NUMERICAL ANALYSIS, 36(2), 393–416.
author keywords: system of parabolic equations; finite difference equations; monotone iterative methods; reaction-diffusion-convection; convergence and error analysis
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(Web of Science)
Source: Web Of Science
Added: August 6, 2018
1999 journal article
Hecke algebras and semisimplicity of monoid algebras
JOURNAL OF ALGEBRA, 218(2), 488–508.
Source: Web Of Science
Added: August 6, 2018
1999 journal article
Estimates for the Nash-Sofer preconditioner for the reduced Hessian for some elliptic variational inequalities
SIAM JOURNAL ON OPTIMIZATION, 9(2), 327–341.
author keywords: preconditioners; reduced Hessian; elliptic variational inequalities
TL;DR:
A class of examples is presented to show how the quality of the Nash--Sofer preconditioner can be directly estimated and one consequence is that if the Hessian is the five-point discretization of a certain type of strongly elliptic operator with homogeneous Dirichlet boundary conditions on an $n \times n$ mesh, then the condition number of the reduced Hessian can be lowered.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
10. Reduced Inequalities
(OpenAlex)
Sources: Web Of Science, ORCID
Added: August 6, 2018
1999 journal article
A complete steady state model of solute and water transport in the kidney
MATHEMATICAL AND COMPUTER MODELLING, 29(6), 63–82.
author keywords: transport model; biomathematics; differential algebraic system; inserve problem; numerical methods
TL;DR:
A detailed model, along with an optimized set of parameters for the proximal tubule, is incorporated into J. L. Stephenson's current central core model of the nephron to show that the modeled behavior approximates, in a general way, the physiological mechanisms of solvent and solute flow in the kidney.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(Web of Science)
6. Clean Water and Sanitation
(OpenAlex)
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018
1999 journal article
Primal-dual strategy for constrained optimal control problems
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 37(4), 1176–1194.
author keywords: active set; augmented Lagrangian; primal-dual method; optimal control
Source: Web Of Science
Added: August 6, 2018
1999 journal article
Positive solutions and dynamics of some reaction diffusion models in HIV transmission
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 35(3), 323–341.
author keywords: reaction diffusion equations; positive solutions; dynamics; HIV transmission; numerical solutions
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(Web of Science; OpenAlex)
Source: Web Of Science
Added: August 6, 2018
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