Center for Research in Scientific Computation

Works Published in 2001

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Displaying works 1 - 20 of 42 in total

Sorted by most recent date added to the index first, which may not be the same as publication date order.

2001 report

Industrial Mathematics Modeling Workshop for Graduate Students Series

[CRSC Technical Reports].

Zhilin Li

Ed(s): P. Gremaud, Z. Li, R. Smith & H. Tran

Source: NC State University Libraries
Added: December 28, 2021

2001 chapter

Numerical Method for Simulation of Bubbles Flowing Through Another Fluid

In M. Mu, Z. Shi, W. Xue, & J. Zou (Eds.), Advances in Scientific Computing (pp. 74–81). Beijing: Science Pr.

By: Z. Li

Ed(s): M. Mu, Z. Shi, W. Xue & J. Zou

Event: Workshop on Scientific Computing at Hong Kong

Source: NC State University Libraries
Added: December 28, 2021

2001 book review

Book Review: Generalized Difference Methods for Differential Equations

[Review of Generalized Difference Methods for Differential Equations, by Z. Chen, R. Li, & W. Wu]. SIAM Review, 43(1), 203–205,

By: Z. Li

Source: NC State University Libraries
Added: December 28, 2021

2001 chapter

Chemical Vapor Deposition Processes: Reduced-order Modeling

In K. H. Jürgen Buschow, M. C. Flemings, E. J. Kramer, P. Veyssière, R. W. Cahn, B. Ilschner, & S. Mahajan (Eds.), Encyclopedia of Materials: Science and Technology (2nd ed., pp. 1183–1187).

By: H. Tran n & C. Lee*

Ed(s): K. Jürgen Buschow, M. Flemings, E. Kramer, P. Veyssière, R. Cahn, B. Ilschner, S. Mahajan

Sources: NC State University Libraries, NC State University Libraries
Added: January 13, 2021

2001 conference paper

Feedback control of thin film growth in an HPCVD reactor via reduced order models

Proceedings of the 40th IEEE Conference on Decision and Control (Cat. No.01CH37228). Presented at the 40th Conference on Decision and Control.

By: H. Banks n, S. Beeler n, G. Kepler n & H. Tran n

Event: 40th Conference on Decision and Control

UN Sustainable Development Goal Categories
6. Clean Water and Sanitation (OpenAlex)
Sources: Crossref, NC State University Libraries
Added: October 31, 2020

2001 chapter

Reduced Order Based Compensator Control of Thin Film Growth in a CVD Reactor

In Optimal Control of Complex Structures (pp. 1–17).

By: H. Banks n & H. Tran n

Sources: Crossref, NC State University Libraries
Added: February 10, 2020

2001 chapter

A Cartesian Perfectly Matched Layer for the ̆ppercaseHelmholtz Equation

In Tourrette Loı̈c & L. Halpern (Eds.), Absorbing Boundaries and Layers, Domain Decomposition Methods. ̆ppercaseApplications to Large Scale Computations (pp. 279–309). https://stsynkov.math.ncsu.edu/publications/a24e7.pdf

By: S. Tsynkov & E. Turkel

Ed(s): L. Tourrette & L. Halpern

Event: at Huntington, NY

Source: ORCID
Added: September 6, 2019

2001 journal article

Algorithms for Noisy Problems in Gas Transmission Pipeline Optimization

Optimization and Engineering, 2, 139–157.

By: R. Carter, J. Gablonsky, A. Patrick, C. Kelley & O. Eslinger

Sources: ORCID, NC State University Libraries
Added: August 29, 2019

2001 journal article

An Aggregation-based Domain Decomposition Preconditioner for Groundwater Flow

SIAM J. Sci. Comp., 23, 430–441.

By: E. Jenkins, C. Kelley, C. Miller & C. Kees

Source: ORCID
Added: August 29, 2019

2001 report

Optimal Design for Problems Involving Flow and Transport Phenomena in Saturated Subsurface Systems

(No. CRSC-TR01-33). North Carolina State University, Center for Research in Scientific Computation.

By: A. Mayer, C. Kelley & C. Miller

Source: ORCID
Added: August 29, 2019

2001 conference paper

Nonlinear Equations: Contraction-Mapping Principle

In C. A. Floudas & P. M. Pardalos (Eds.), Encyclopedia of Optimization (pp. two pages). Dordrecht: Kluwer.

By: C. Kelley

Ed(s): C. Floudas & P. Pardalos

Event: at Dordrecht

Source: ORCID
Added: August 29, 2019

2001 chapter

A Cartesian Perfectly Matched Layer for the Helmholtz Equation

In Tourrette Loı̈c & L. Halpern (Eds.), Absorbing Boundaries and Layers, Domain Decomposition Methods. Applications to Large Scale Computations (pp. 279–309). New York: Nova Science Publishers.

By: S. Tsynkov & E. Turkel

Ed(s): L. Tourrette & L. Halpern

Source: NC State University Libraries
Added: July 28, 2019

2001 journal article

Particle Methods for Dispersive Equations

Journal of Computational Physics, 171(2), 708–730.

By: A. Chertock* & D. Levy

Contributors: A. Chertock* & D. Levy

author keywords: particle methods; dispersive equations; diffusion-velocity; dispersion-velocity; compacton equations
TL;DR: A new dispersion-velocity particle method is introduced for approximating solutions of linear and nonlinear dispersive equations for the first time in which particle methods are being used for solving such equations. (via Semantic Scholar)
Sources: Crossref, ORCID, NC State University Libraries
Added: July 20, 2019

2001 journal article

High-Order Two-Way Artificial Boundary Conditions for Nonlinear Wave Propagation with Backscattering

Journal of Computational Physics, 171(2), 632–677.

By: G. Fibich & S. Tsynkov*

author keywords: artificial boundary conditions (ABCs); two-way ABCs; radiation; Helmholtz equation; nonlinearity; nonparaxiality; fourth-order schemes; self-focusing; backscattering
TL;DR: The two-way ABCs are constructed for the nonlinear Helmholtz equation, which models a continuous-wave (CW) laser beam propagation in amedium with nonlinear index of refraction, i.e., generation of waves in the opposite direction to that of the incoming signal. (via Semantic Scholar)
Sources: Crossref, NC State University Libraries, ORCID
Added: June 30, 2019

2001 journal article

Active Shielding and Control of Noise

SIAM Journal on Applied Mathematics, 62(2), 563–596.

By: J. Loncaric, V. Ryaben'kii & S. Tsynkov*

author keywords: active shielding; noise control; time-harmonic acoustic fields; the Helmholtz equation; generalized Calderon's potentials; exact volumetric cancellation; general solution; incoming and outgoing waves; near surface control sources; spatial anisotropies; material discontinuities; optimization; Bessel functions
TL;DR: The key finding is that for eliminating the unwanted component of the acoustic field in a given area, one needs to know relatively little; in particular, neither the locations nor structure nor strength of the exterior noise sources need to be known. (via Semantic Scholar)
UN Sustainable Development Goal Categories
11. Sustainable Cities and Communities (OpenAlex)
Sources: Crossref, NC State University Libraries, ORCID
Added: June 30, 2019

2001 journal article

Numerical analysis of interfacial two-dimensional Stokes flow with discontinuous viscosity and variable surface tension

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, 37(5), 525–540.

By: Z. Li n & . Lubkin n

author keywords: discontinuous and non-smooth solution; immersed interface method; interface; jump condition; Stokes equation; variable surface tension
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

2001 journal article

Level-set function approach to an inverse interface problem

INVERSE PROBLEMS, 17(5), 1225–1242.

By: K. Ito n, K. Kunisch* & Z. Li n

Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

2001 journal article

Global Discrete Artificial Boundary Conditions for Time-Dependent Wave Propagation

Journal of Computational Physics, 174(2), 712–758.

By: V. Ryaben'kii*, S. Tsynkov* & V. Turchaninov*

author keywords: artificial boundary conditions; wave propagation; lacunae; nondeteriorating method
TL;DR: The construction of the global lacunae-based ABCs are delineated in the framework of a discretized wave equation and systematic numerical results that corroborate the theoretical design properties of the ABCs'' algorithm are presented. (via Semantic Scholar)
Sources: Web Of Science, NC State University Libraries, ORCID, Crossref
Added: August 6, 2018

2001 journal article

On the combined performance of nonlocal artificial boundary conditions with the new generation of advanced multigrid flow solvers

Computers & Fluids, 31(3), 269–308.

By: T. Roberts*, D. Sidilkover* & S. Tsynkov*

TL;DR: A unified flow solution methodology that combines the advantages relevant to two independent groups of methods in computational fluid dynamics that have recently proven successful: The new factorizable schemes for the equations of hydrodynamics that facilitate the construction of optimally convergent multigrid algorithms, and highly accurate global far-field artificial boundary conditions (ABCs). (via Semantic Scholar)
Sources: NC State University Libraries, NC State University Libraries
Added: August 6, 2018

2001 journal article

Nonlinear exothermic contributions to radio-frequency bonding of adhesives

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2(3), 357–386.

By: H. Banks n, M. Choi n, . Durso* & K. Ito n

author keywords: radio-frequency electromagnetic bonding; nonlinear thermal processes; operator splitting; existence and uniqueness
Source: Web Of Science
Added: August 6, 2018

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