Center for Research in Scientific Computation

Works Published in 2009

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Displaying works 21 - 40 of 54 in total

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

2009 book

Mathematical and experimental modeling of physical and biological processes

Boca Raton : CRC Press.

By: H. Banks & H. Tran

Source: NC State University Libraries
Added: August 6, 2018

2009 book

Interface problems and methods in biological and physical flows

New Jersey: World Scientific.

Zhilin Li

Ed(s): Z. B. C. Khoo & P. Lin

Source: NC State University Libraries
Added: August 6, 2018

2009 journal article

Well-posedness of inverse problems for systems with time dependent parameters

Arabian Journal for Science and Engineering, 34(1D), 39–58.

By: H. Banks & M. Pedersen

Source: NC State University Libraries
Added: August 6, 2018

2009 journal article

Pseudo-transient continuation for nonlinear transient elasticity

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 78(10), 1209–1219.

By: M. Gee*, C. Kelley n & R. Lehoucq*

author keywords: transient elasticity; finite element approximation; pseudo-transient continuation; Newton's method
Sources: Web Of Science, ORCID
Added: August 6, 2018

2009 journal article

Experimental implementation of a hybrid nonlinear control design for magnetostrictive actuators

Journal of Dynamic Systems, Measurement, and Control, 131(4).

By: W. Oates, P. Evans, R. Smith* & M. Dapino

UN Sustainable Development Goal Categories
7. Affordable and Clean Energy (OpenAlex)
Sources: NC State University Libraries, NC State University Libraries
Added: August 6, 2018

2009 journal article

Difference problem of noise suppression and other problems of active control of single-frequency sound on a composite domain

Doklady Mathematics, 79(2), 240–242.

By: V. Ryaben’kii*, S. Utyuzhnikov* & S. Tsynkov n

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

2009 journal article

Analysis of Viscoelastic Wall Properties in Ovine Arteries

IEEE TRANSACTIONS ON BIOMEDICAL ENGINEERING, 56(2), 210–219.

By: D. Valdez-Jasso n, M. Haider n, H. Banks n, D. Santana*, Y. German*, R. Armentano*, M. Olufsen n

author keywords: Arterial wall properties; data analysis; mathematical modeling; mechanics; parameter estimation; viscoelasticity
MeSH headings : Algorithms; Animals; Arteries / physiology; Biomechanical Phenomena / physiology; Blood Pressure; Elasticity; Equipment Design; Male; Models, Cardiovascular; Nonlinear Dynamics; Sensitivity and Specificity; Sheep; Signal Processing, Computer-Assisted; Viscosity
TL;DR: Results reveal that elastic properties in both models vary across locations (smaller arteries are stiffer than larger arteries), and show that for all locations, the inclusion of viscoelastic behavior is important to capture pressure-area dynamics. (via Semantic Scholar)
UN Sustainable Development Goal Categories
Source: Web Of Science
Added: August 6, 2018

2009 journal article

Analysis of Stability and Dispersion in a Finite Element Method for Debye and Lorentz Dispersive Media

NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 25(4), 885–917.

By: H. Banks n, V. Bokil* & N. Gibson*

author keywords: Maxwell's equations; Debye; Lorentz; finite elements; FDTD; dissipation; dispersion
Source: Web Of Science
Added: August 6, 2018

2009 journal article

An additive Schwarz preconditioner for the mortar-type rotated Q(1) FEM for elliptic problems with discontinuous coefficients

APPLIED NUMERICAL MATHEMATICS, 59(7), 1657–1667.

By: F. Wang*, J. Chen*, W. Xu* & Z. Li n

author keywords: Domain decomposition; Mortar finite element method; Additive Schwarz method; Rotated Q(1) element
TL;DR: It is shown that the proposed additive Schwarz preconditioner for the mortar-type rotated Q"1 finite element method for second order elliptic partial differential equations with piecewise but discontinuous coefficients has a quasi-optimal convergence behavior. (via Semantic Scholar)
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

2009 article

Quantification of hysteresis and nonlinear effects on the frequency response of ferroelectric and ferromagnetic materials

Stuebner, M., Atulasimha, J., & Smith, R. C. (2009, October). SMART MATERIALS AND STRUCTURES, Vol. 18.

UN Sustainable Development Goal Categories
7. Affordable and Clean Energy (OpenAlex)
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

2009 journal article

Convergence Analysis of Sampling Methods for Perturbed {L}ipschitz Functions

Pacific J. Opt., 5(2), 339–350.

By: D. Finkel & C. Kelley

Sources: NC State University Libraries, ORCID
Added: August 6, 2018

2009 journal article

Active control of sound with variable degree of cancellation

Applied Mathematics Letters, 22(12), 1846–1851.

By: V. Ryaben’kii*, S. Tsynkov n & S. Utyuzhnikov*

author keywords: Inverse source problem; Active shielding; Calderon's projections; Difference potentials
TL;DR: A general solution for controls in the continuous and discrete setting is presented by adding special control sources defined only at the interface between the subdomains of a linear PDE or system on a composite domain. (via Semantic Scholar)
Sources: Web Of Science, NC State University Libraries, ORCID, Crossref
Added: August 6, 2018

2009 journal article

A smoothing technique for discrete delta functions with application to immersed boundary method in moving boundary simulations

JOURNAL OF COMPUTATIONAL PHYSICS, 228(20), 7821–7836.

author keywords: Immersed boundary method; Moving boundary; Non-physical force oscillations; Smoothed discrete delta function
TL;DR: It has been shown that the smoothed discrete delta functions constructed in this paper have one-order higher derivative than the regular ones, which can effectively suppress the non-physical oscillations in the volume forces and improve the accuracy of the immersed boundary method with direct forcing in moving boundary simulations. (via Semantic Scholar)
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

2009 journal article

Long-Time Performance of Unsplit PMLs with Explicit Second Order Schemes

Journal of Scientific Computing, 41(1), 1–12.

By: S. Abarbanel*, H. Qasimov* & S. Tsynkov n

author keywords: Perfectly matched layer (PML); Long-time growth; Wave propagation; Maxwell's equations; Numerical solution; Second order approximation; Yee scheme; Leap-frog scheme; Lax-Wendroff scheme; Central difference/Runge-Kutta scheme; Yee/Runge-Kutta scheme
TL;DR: Analysis of the temporal behavior of unsplit PMLs for some commonly used second order explicit finite-difference schemes that approximate the Maxwell’s equations finds that the type of the layer and the choice of the scheme play a major role in how rapidly this growth may manifest itself and whether or not it manifests itself at all. (via Semantic Scholar)
Sources: Web Of Science, NC State University Libraries, ORCID, Crossref
Added: August 6, 2018

2009 journal article

LAGRANGE MULTIPLIER APPROACH WITH OPTIMIZED FINITE DIFFERENCE STENCILS FOR PRICING AMERICAN OPTIONS UNDER STOCHASTIC VOLATILITY

SIAM JOURNAL ON SCIENTIFIC COMPUTING, 31(4), 2646–2664.

author keywords: American option pricing; stochastic volatility model; linear complementarity problem; finite difference method; quadratic programming; multigrid method; Lagrange method; penalty method
TL;DR: The deterministic numerical valuation of American options under Heston's stochastic volatility model is considered and a Lagrange approach is used to treat the linear complementarity problems. (via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018

2009 journal article

Experimental design and estimation of growth rate distributions in size-structured shrimp populations

Inverse Problems, 25(9), 095003.

By: H. Banks n, J. Davis n, S. Ernstberger n, S. Hu n, E. Artimovich* & A. Dhar*

TL;DR: Parameter-estimation findings using experimental data from experiments so designed for shrimp populations cultivated at Advanced BioNutrition Corporation are presented, illustrating the usefulness of mathematical and statistical modeling in understanding the uncertainty in the growth dynamics of such populations. (via Semantic Scholar)
UN Sustainable Development Goal Categories
2. Zero Hunger (OpenAlex)
Sources: Crossref, NC State University Libraries
Added: August 6, 2018

2009 journal article

A sensitivity matrix based methodology for inverse problem formulation

JOURNAL OF INVERSE AND ILL-POSED PROBLEMS, 17(6), 545–564.

author keywords: Inverse problems; ordinary least squares; sensitivity matrix; Fisher Information matrix; parameter selection; standard errors
Source: Web Of Science
Added: August 6, 2018

2009 journal article

A mathematical model for the first-pass dynamics of antibiotics acting on the cardiovascular system

MATHEMATICAL AND COMPUTER MODELLING, 50(7-8), 959–974.

By: H. Banks n, K. Holm n, N. Wanner n, A. Cintron-Arias n, G. Kepler n & J. Wetherington*

author keywords: Compartmental model; Circulatory system; Drug delivery; Differential equations; Optimal dosing strategies; Sensitivity
TL;DR: A preliminary first-pass dynamic model for delivery of drug compounds to the lungs and heart using a compartmental mass balance approach and a system of nonlinear differential equations for mass accumulated in the heart as a result of intravenous injection is presented. (via Semantic Scholar)
UN Sustainable Development Goal Categories
3. Good Health and Well-being (OpenAlex)
Source: Web Of Science
Added: August 6, 2018

2009 journal article

More efficient optimization of long-term water supply portfolios

WATER RESOURCES RESEARCH, 45.

By: B. Kirsch*, G. Characklis*, K. Dillard* & C. Kelley n

TL;DR: This work describes the integration of a variance reduction technique (control variate method) within the simulation/optimization as a means of more efficiently identifying minimum cost portfolios. (via Semantic Scholar)
Sources: Web Of Science, ORCID, NC State University Libraries
Added: August 6, 2018

2009 journal article

Estimation in time-delay modeling of insecticide-induced mortality

JOURNAL OF INVERSE AND ILL-POSED PROBLEMS, 17(2), 101–125.

By: H. Banks*, J. Banks & S. Joyner*

author keywords: Inverse problems; ordinary and generalized least squares; delay-differential equation models; insect populations; insecticide exposure; time-varying mortality and maturation rates
TL;DR: Empirical efficacy of the methodology in the context of models for insect maturation and mortality due to insecticide exposure is demonstrated. (via Semantic Scholar)
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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