Works Published in 1998
Displaying works 61 - 80 of 142 in total
Sorted by most recent date added to the index first, which may not be the same as publication date order.
1998 journal article
Lithotripsy: The treatment of kidney stones with shock waves
SIAM REVIEW, 40(2), 356–371.
author keywords: shock waves; bubble dynamics; asymptotic methods
TL;DR:
This paper discusses mathematical models for the response of a small air bubble in water to an ultrasound pulse, a context that arises in the modern treatment for kidney stones, and applies asymptotics to describe large-amplitude solutions of Rayleigh's equations.
(via Semantic Scholar)
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018
1998 journal article
Volterra integrodifferential neutral dynamics for the growth of wealth of nations: A controllability theory
Indian Journal of Pure and Applied Mathematics, 29(7), 723–799.
Source: NC State University Libraries
Added: August 6, 2018
1998 journal article
Using stocking or harvesting to reverse period-doubling bifurcations in discrete population models
JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 4(2), 163–183.
author keywords: discrete models; period-doubling bifurcations and reversals; pioneer and climax populations
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(Web of Science)
Source: Web Of Science
Added: August 6, 2018
1998 journal article
Three absolute perturbation bounds for matrix eigenvalues imply relative bounds
SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 20(1), 149–158.
Contributors: S. Eisenstat* & I. Ipsen n
author keywords: eigenvalues; relative perturbation bounds; conditioning
TL;DR:
It is shown that eigenvalues of normal matrices are no more sensitive to perturbations than eigen values of Hermitian positive-definite matrices, and the relative error bounds are invariant under congruence transformations, such as grading and scaling.
(via Semantic Scholar)
Sources: Web Of Science, ORCID, NC State University Libraries
Added: August 6, 2018
1998 review
Theory and applications of partial functional differential equations. By Jianhong Wu.
[Review of ]. SIAM Review, 40(3), 746–747.
Source: NC State University Libraries
Added: August 6, 2018
1998 journal article
Robust solution of Richards' equation for nonuniform porous media
WATER RESOURCES RESEARCH, 34(10), 2599–2610.
agupubs.onlinelibrary.wiley.com (publisher PDF)
UN Sustainable Development Goal Categories
6. Clean Water and Sanitation
(Web of Science)
13. Climate Action
(Web of Science)
Source: Web Of Science
Added: August 6, 2018
1998 article
Plasma-engineered Si-SiO2 interfaces: monolayer nitrogen atom incorporation by low-temperature remote plasma-assisted oxidation in N2O
Koh, K., Niimi, H., & Lucovsky, G. (1998, January). SURFACE & COATINGS TECHNOLOGY, Vol. 98, pp. 1524–1528.
author keywords: Si-SiO2 interfaces; N-atoms; N2O; Auger electron spectroscopy
Source: Web Of Science
Added: August 6, 2018
1998 journal article
On the optimal consistent approximation to pairwise comparison matrices
LINEAR ALGEBRA AND ITS APPLICATIONS, 272(1-3), 155–168.
Contributors: M. Chu n
TL;DR:
It is observed that the highly nonlinear manifold of consistent matrices can be changed into a linear subspace by the componentwise logarithmic transformation, which facilitates the otherwise much more complicated optimality condition if working with the variables in the original manifold.
(via Semantic Scholar)
Sources: Web Of Science, ORCID, NC State University Libraries
Added: August 6, 2018
1998 journal article
On the equivalence between the discrete ordinates and the spherical harmonics methods in radiative transfer
NUCLEAR SCIENCE AND ENGINEERING, 130(1), 79–84.
Source: Web Of Science
Added: August 6, 2018
1998 journal article
On a differential equation approach to the weighted or orthogonal Procrustes problem
STATISTICS AND COMPUTING, 8(2), 125–133.
Contributors: M. Chu n & N. Trendafilov*
author keywords: constrained regression; Procrustes rotation; projected gradient; optimality condition
TL;DR:
It is shown that a steepest descent flow on the manifold of orthogonal matrices can naturally be formulated, which has two important implications: that the weighted Orthogonal Procrustes problem can be solved as an initial value problem by any available numerical integrator and that the first order and the second order optimality conditions can also be derived.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
4. Quality Education
(Web of Science)
Sources: Web Of Science, ORCID, NC State University Libraries
Added: August 6, 2018
1998 journal article
L-2 sufficient conditions for end-constrained optimal control problems with inputs in a polyhedron
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 36(5), 1833–1851.
author keywords: infinite-dimensional programs; affine inequality constraints; nonconvex equality constraints; nonconvex objectives; L-2-local optimality; second-order sufficient conditions; optimal control; constrained inputs; terminal state constraints
Source: Web Of Science
Added: August 6, 2018
1998 journal article
Controlled nitrogen incorporation at Si-SiO2 interfaces by remote plasma-assisted processing
JAPANESE JOURNAL OF APPLIED PHYSICS PART 1-REGULAR PAPERS SHORT NOTES & REVIEW PAPERS, 37(2), 709–714.
author keywords: low-temperature processing; plasma-assisted oxidation and nitridation; rapid thermal annealing; Si-SiO2 interfaces; Auger electron spectroscopy; optical second harmonic generation; chemical reaction pathways
UN Sustainable Development Goal Categories
6. Clean Water and Sanitation
(OpenAlex)
Source: Web Of Science
Added: August 6, 2018
1998 chapter
Augmented gradient projection calculations for regulator problems with pointwise state and control constraints
In W. W. Hager & P. M. Pardalos (Eds.), Optimal control: Theory, algorithms, and applications (pp. 130–153).
Ed(s): . W. W. Hager & P. Pardalos
UN Sustainable Development Goal Categories
16. Peace, Justice and Strong Institutions
(OpenAlex)
Source: NC State University Libraries
Added: August 6, 2018
1998 journal article
Adaptive mesh refinement and front-tracking for shear bands in an antiplane shear model
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 20(2), 750–779.
author keywords: adaptive mesh refinement; front-tracking; plastic; granular flow; nonassociative flow rule; shear band; Godunov
TL;DR:
A numerical algorithm for the study of shear-band formation and growth in a two-dimensional antiplane shear of granular materials that combines front-tracking techniques and adaptive mesh refinement is described.
(via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018
1998 journal article
A penalized Neumann control approach for solving an optimal Dirichlet control problem for the Navier-Stokes equations
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 36(5), 1795–1814.
author keywords: optimal control; Neumann control; Dirichlet control; Navier-Stokes equations; finite element method
Source: Web Of Science
Added: August 6, 2018
1998 journal article
A fast iterative algorithm for elliptic interface problems
SIAM JOURNAL ON NUMERICAL ANALYSIS, 35(1), 230–254.
author keywords: elliptic equation; discontinuous coefficients; immersed interface method; Cartesian grid; Schur complement; GMRES method; preconditioning
TL;DR:
The idea in this approach is to precondition the differential equation before applying the immersed interface method, and to take advantage of fast Poisson solvers on a rectangular region, an intermediate unknown function, the jump in the normal derivative across the interface, is introduced.
(via Semantic Scholar)
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018
1998 journal article
The F-N method for spectral-line formation by completely noncoherent scattering
JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER, 60(2), 261–276.
Source: Web Of Science
Added: August 6, 2018
1998 journal article
Rank modifications of semidefinite matrices associated with a secant update formula
SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 20(2), 428–436.
Contributors: M. Chu* , R. Funderlic* & G. Golub
author keywords: rank-one reduction; Wedderburn theorem; BFGS update; DFP update; quasi-Newton methods; rank subtractivity; rank additivity
TL;DR:
This paper analyzes rank modification of symmetric positive definite matrices H of the form H + P, where H −M denotes a step of reducing H to a lower-rank, symmetric and positive semidefinite matrix and (H −M) + P denotes astep of restoring H−M to a symmetricpositive definite matrix.
(via Semantic Scholar)
Sources: Web Of Science, ORCID, NC State University Libraries
Added: August 6, 2018
1998 journal article
Quantum Kac-Moody Algebras and Vertex Representations
Letters in Mathematical Physics, 44(4), 261–271.
Contributors: N. Jing n
Sources: NC State University Libraries, ORCID
Added: August 6, 2018
1998 conference paper
On L-2 sufficient conditions for end-constrained optimal control problems with inputs in a polyhedron
Proceedings of the 37th IEEE Conference on Decision and Control, Tampa, FL, December 16-18, 1998.
Source: NC State University Libraries
Added: August 6, 2018
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