Works Published in 2003
Displaying works 41 - 60 of 130 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
Multiplicity of the trivial representation in rank-selected homology of the partition lattice
Journal of Algebra, 266(2), 521–538.
doi.org (publisher)
Source: Crossref
Added: June 30, 2019
2003 journal article
A partitioning and related properties for the quotient complex Δ(Blm)/Sl≀Sm
Journal of Pure and Applied Algebra, 178(3), 255–272.
Source: Crossref
Added: June 30, 2019
2003 journal article
Chain decomposition and the flag f-vector
Journal of Combinatorial Theory, Series A, 103(1), 27–52.
TL;DR:
This work provides formulas for Fp for three classes of locally rank-symmetric posets: graded monoid posets, generalized posets of shuffles and noncrossing partition lattices for classical reflection groups, and flag f-vector expressions for generalized shuffle posets and nonCrossing partitions lattices, which yield symmetric chain decompositions and shellability and supersolvability results.
(via Semantic Scholar)
Source: Crossref
Added: June 30, 2019
2003 journal article
Markov Bases of Binary Graph Models
Annals of Combinatorics, 7(4), 441–466.
TL;DR:
The topological invariant of a graph given by the maximum degree of a Markov basis element for the corresponding graph model for binary contingency tables is described and the algebraic degree of the model when the underlying graph is a forest.
(via Semantic Scholar)
Source: Crossref
Added: June 30, 2019
2003 book
Golf the fundamentals
Durham, NC: Carolina Academic Press.
Source: NC State University Libraries
Added: August 6, 2018
2003 book
Computer algebra handbook foundations, applications, systems
Source: NC State University Libraries
Added: August 6, 2018
2003 report
Evaluating the Effectiveness of the Leave No Trace Program in the City of Durango, Colorado
Boulder, CO: The Leave No Trace, Inc.
Source: NC State University Libraries
Added: August 6, 2018
2003 chapter
Affine, quasi-affine and co-affine wavelets
In Beyond wavelets (pp. 215–224).
Source: NC State University Libraries
Added: August 6, 2018
2003 journal article
Thin film traveling waves and the Navier slip condition
SIAM Journal on Applied Mathematics, 63(2), 722–744.
TL;DR:
This work considers the lubrication model for a thin film driven by competing gravitational forces and thermal gradients on an inclined plane and shows that for all three problems there is a finite range of admissible contact angles for which traveling wave solutions exist.
(via Semantic Scholar)
Sources: NC State University Libraries, NC State University Libraries
Added: August 6, 2018
2003 book
Research Directions in Distributed Parameter Systems
(R. C. Smith & M. A. Demetriou, Eds.).
Ed(s): R. Smith* & M. Demetriou
TL;DR:
Research Directions in Distributed Parameter Systems is composed of eleven chapters, written by experts in their respective fields, on topics ranging from control of the Navier-Stokes equations to nondestructive evaluation - all of which are modeled by distributed parameters systems.
(via Semantic Scholar)
Sources: NC State University Libraries, Crossref, ORCID
Added: August 6, 2018
2003 journal article
Time-reversed refocusing of surface water waves
MULTISCALE MODELING & SIMULATION, 1(4), 609–629.
author keywords: water waves; inhomogeneous media; asymptotic theory
TL;DR:
A brief mathematical review of the time-reversal (in reflection) theory is presented in the context of the linear shallow water equations, and the numerically refocused pulse is compared with the theoretical predicted shape.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
6. Clean Water and Sanitation
(OpenAlex)
11. Sustainable Cities and Communities
(Web of Science)
Source: Web Of Science
Added: August 6, 2018
2003 journal article
Multiscale stochastic volatility asymptotics
MULTISCALE MODELING & SIMULATION, 2(1), 22–42.
author keywords: stochastic volatility; time scales; singular regular perturbations; option pricing; implied volatility
TL;DR:
This paper proposes to use a combination of regular and singular perturbations to analyze parabolic PDEs that arise in the context of pricing options when the volatility is a stochastic process that varies on several characteristic time scales.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
8. Decent Work and Economic Growth
(Web of Science)
Source: Web Of Science
Added: August 6, 2018
2003 journal article
A forward-trajectory global semi-Lagrangian transport scheme
JOURNAL OF COMPUTATIONAL PHYSICS, 190(1), 275–294.
author keywords: semi-Lagrangian advection; spherical geometry; forward trajectory; cascade interpolation; mass conservation; Runge-Kutta method
UN Sustainable Development Goal Categories
13. Climate Action
(Web of Science)
Source: Web Of Science
Added: August 6, 2018
2003 journal article
On inverse quadratic eigenvalue problems with partially prescribed eigenstructure
SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 25(4), 995–1020.
author keywords: quadratic eigenvalue problem; inverse eigenvalue problem; partially prescribed spectrum; partial eigenstructure assignment
TL;DR:
It is shown via construction that the inverse problem is solvable for any k, given complex conjugately closed pairs of distinct eigenvalues and linearly independent eigenvectors, provided $k \leq n$.
(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
2003 journal article
Mixed finite element methods and higher order temporal approximations for variably saturated groundwater flow
ADVANCES IN WATER RESOURCES, 26(4), 373–394.
TL;DR:
This work forms the two spatial discretizations within a MOL context for the pressure head form of RE as well as a fully mass-conservative version, and compares the higher order, adaptive time discretization to a first-order approximation with formal error control and adaptive time step selection.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
6. Clean Water and Sanitation
(OpenAlex)
Source: Web Of Science
Added: August 6, 2018
2003 journal article
Identification of contact regions in semiconductor transistors by level-set methods
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 159(2), 399–410.
author keywords: inverse problem; level-set methods; semiconductor
TL;DR:
The Gauss-Newton direction is proposed as the interface velocity, and the scheme for a parameterized class of interfaces for the inverse problem of identifying an interface in the coefficient of an elliptic equation from a boundary measurement is proposed.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(Web of Science)
Source: Web Of Science
Added: August 6, 2018
2003 journal article
Goodness through optimal dynamics of the wealth of nations
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 4(5), 653–666.
author keywords: wealth functions; competitive and cooperative systems; inflow of wealth; internally generated wealth
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(Web of Science)
Source: Web Of Science
Added: August 6, 2018
2003 journal article
Block monotone iterations for numerical solutions of fourth-order nonlinear elliptic boundary value problems
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 25(1), 164–185.
author keywords: fourth-order elliptic equations; finite difference systems; block monotone iterations; numerical solutions; convergence; upper and lower solutions
TL;DR:
It is shown that the sequence of iterations converges monotonically to a maximal solution or a minimal solution if the nonlinear function is quasi-monotone nondecreasing and that the finite difference solution converges to the continuous solution as the mesh size tends to zero.
(via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018
2003 journal article
Backscattering and Nonparaxiality Arrest Collapse of Damped Nonlinear Waves
SIAM Journal on Applied Mathematics, 63(5), 1718–1736.
author keywords: Kerr medium; nonlinear wave propagation; self-focusing; singularity formation; linear damping; limiting absorption; two-way ABCs
TL;DR:
This paper develops new local discontinuous Galerkin methods for solving time dependent partial differential equations with higher order derivatives in one and multiple space dimensions and presents new results on a post-processing technique, originally designed for methods with good negative-order error estimates, that works as well for the new higher derivative cases.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
7. Affordable and Clean Energy
(Web of Science)
Sources: Web Of Science, NC State University Libraries, ORCID, Crossref
Added: August 6, 2018
2003 journal article
Artificial boundary conditions for the numerical simulation of unsteady acoustic waves
Journal of Computational Physics, 189(2), 626–650.
author keywords: time-dependent sound waves; unbounded domains; lacunae; non-deteriorating method; long-term computation; limited temporal non-locality
UN Sustainable Development Goal Categories
11. Sustainable Cities and Communities
(OpenAlex)
Sources: Web Of Science, NC State University Libraries, ORCID, Crossref
Added: August 6, 2018
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