Center for Research in Scientific Computation

Works Published in 2009

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Displaying works 41 - 54 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 journal article

A well-conditioned augmented system for solving Navier-Stokes equations in irregular domains

JOURNAL OF COMPUTATIONAL PHYSICS, 228(7), 2616–2628.

By: K. Ito n, M. Lai* & Z. Li n

author keywords: Navier-Stokes equations; Embedding technique; Immersed interface method; Irregular domain; Augmented system; Projection method; Level set representation
TL;DR: An augmented method based on a Cartesian grid is proposed for the incompressible Navier-Stokes equations in irregular domains using the immersed interface method to achieve second order accuracy for the velocity. (via Semantic Scholar)
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

2009 journal article

Optimal Tracking Using Magnetostrictive Actuators Operating in Nonlinear and Hysteretic Regimes

JOURNAL OF DYNAMIC SYSTEMS MEASUREMENT AND CONTROL-TRANSACTIONS OF THE ASME, 131(3).

By: W. Oates* & R. Smith n

author keywords: control system synthesis; feedback; intelligent materials; intelligent structures; Kalman filters; magnetostrictive devices; nonlinear control systems; open loop systems; optimal control; perturbation techniques; PI control; piezoelectric actuators; piezoelectric materials; piezoelectric transducers; shape memory effects; stochastic processes
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

A high-order numerical method for the nonlinear Helmholtz equation in multidimensional layered media

Journal of Computational Physics, 228(10), 3789–3815.

By: G. Baruch*, G. Fibich* & S. Tsynkov n

author keywords: Nonlinear optics; Kerr nonlinearity; Inhomogeneous medium; Material discontinuities; Discontinuous coefficients; Layered medium; Nonparaxiality; Forward scattering; Backscattering; (Narrow) solitons; Paraxial approximation; Nonlinear Schrodinger equation; Arrest of collapse; Finite-difference approximation; Compact scheme; High-order method; Artificial boundary conditions (ABCs); Two-way ABCs; Traveling waves; Complex valued solutions; Frechet differentiability; Newton's method
TL;DR: The first ever evidence that the singularity of the solution indeed disappears in the scalar NLH model that includes the nonparaxial effects is provided, which enables simulation of the wavelength-width spatialsolitons, as well as of the counter-propagating solitons. (via Semantic Scholar)
Sources: Web Of Science, NC State University Libraries, ORCID, Crossref
Added: August 6, 2018

2009 journal article

THE ESTIMATION OF THE EFFECTIVE REPRODUCTIVE NUMBER FROM DISEASE OUTBREAK DATA

MATHEMATICAL BIOSCIENCES AND ENGINEERING, 6(2), 261–282.

By: A. Cintron-Arias n, C. Castillo-Chavez*, L. Bettencourt*, A. Lloyd* & H. Banks n

author keywords: effective reproductive number; basic reproduction ratio; reproduction number; R; R(t); R-0; parameter estimation; generalized least squares; residual plots
MeSH headings : Algorithms; Biometry / methods; Communicable Diseases / epidemiology; Disease Outbreaks / statistics & numerical data; Disease Transmission, Infectious / statistics & numerical data; Humans; Prevalence; Proportional Hazards Models
TL;DR: A single outbreak susceptible-infected-recovered (SIR) model and corresponding estimation procedures for the effective reproductive number R(t) are considered and the estimation of the underlying SIR parameters with a generalized least squares estimation technique is discussed. (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

2009 journal article

Experimental Validation of the Active Noise Control Methodology Based on Difference Potentials

AIAA Journal, 47(4), 874–884.

By: H. Lim*, S. Utyuzhnikov*, Y. Lam*, A. Turan*, M. Avis*, V. Ryaben'kii*, S. Tsynkov n

TL;DR: It has been demonstrated that while preserving the wanted sound, the developed approach can cancel out the unwanted noise and the volumetric noise cancellation offered by the proposed methodology along with leaving theWant sound unchanged is a unique feature compared to other techniques available in the literature. (via Semantic Scholar)
Sources: Web Of Science, NC State University Libraries, ORCID, Crossref
Added: August 6, 2018

2009 journal article

A model for HCMV infection in immunosuppressed patients

MATHEMATICAL AND COMPUTER MODELLING, 49(7-8), 1653–1663.

By: G. Kepler*, H. Banksa, M. Davidian* & E. Rosenberg*

author keywords: HCMV; CMV; Herpes; Transplantation; Mathematical model; Immunosuppression
TL;DR: Simulations with the approximated parameter values demonstrates that the model is capable of describing primary, latent, and secondary (reactivated) HCMV infection. (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

2009 conference paper

Fourth order schemes for time-harmonic wave equations with discontinuous coefficients

Communications in Computational Physics, 5(2-4), 442–455.

By: G. Baruch, G. Fibich, S. Tsynkov & E. Turkel

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

2009 journal article

ESTIMATION AND IDENTIFICATION OF PARAMETERS IN A LUMPED CEREBROVASCULAR MODEL

MATHEMATICAL BIOSCIENCES AND ENGINEERING, 6(1), 93–115.

By: S. Pope n, L. Ellwein*, C. Zapata, V. Novak*, C. Kelley* & M. Olufsen n

author keywords: cardiovascular modeling; systemic resistance; cerebrovascular resistance; parameter estimation; sensitivity analysis; subset selection
MeSH headings : Adult; Aged; Blood Flow Velocity / physiology; Blood Pressure / physiology; Brain / blood supply; Brain / physiology; Cerebral Arteries / physiology; Cerebrovascular Circulation / physiology; Computer Simulation; Female; Humans; Male; Middle Aged; Models, Cardiovascular; Ventricular Function / physiology; Young Adult
TL;DR: The method discussed in this study provides a new methodology to extract clinical markers that cannot easily be assessed noninvasively by using nonlinear optimization combined with sensitivity analysis and subset selection. (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

2009 conference paper

Computing multivalued solutions of pressureless gas dynamics by deterministic particle methods

Communications in Computational Physics, 5(2-4), 565–581.

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

2009 conference paper

Analysis and computation for a fluid mixture model

Communications in Computational Physics, 5(2-4), 620–634.

By: Q. Jiang, Z. Li & S. Lubkin

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

2009 journal article

Combining Trust-Region Techniques and Rosenbrock Methods to Compute Stationary Points

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 140(2), 265–286.

By: X. Luo*, C. Kelley n, L. Liao* & H. Tam*

author keywords: Trust-region methods; Unconstrained optimization; Rosenbrock method; Gradient system; Ordinary differential equations
TL;DR: A trust-region technique to select the time steps of a second-order Rosenbrock method for a special initial-value problem, namely, a gradient system obtained from an unconstrained optimization problem. (via Semantic Scholar)
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

2009 journal article

Adaptive techniques for the MRAC, adaptive parameter identification, and on-line fault monitoring and accommodation for a class of positive real infinite dimensional systems

INTERNATIONAL JOURNAL OF ADAPTIVE CONTROL AND SIGNAL PROCESSING, 23(2), 193–215.

author keywords: positive real; structured perturbations; infinite dimensional systems; adaptive observers; MRAC; fault detection and accommodation
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

2009 journal article

Achieving energy conservation in Poisson-Boltzmann molecular dynamics: Accuracy and precision with finite-difference algorithms

CHEMICAL PHYSICS LETTERS, 468(4-6), 112–118.

TL;DR: This work explored the ideas of enforcing interface conditions by the immerse interface method and of removing charge singularity to improve the finite-difference methods, showing significant improvement in both energies and forces. (via Semantic Scholar)
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

2009 article

Fast explicit operator splitting method for convection-diffusion equations

Chertock, A., Kurganov, A., & Petrova, G. (2009, January 30). INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, Vol. 59, pp. 309–332.

author keywords: convection-diffusion equations; operator splitting; polymer systems; finite-volume methods; heat kernel
Sources: Web Of Science, ORCID, NC State University Libraries
Added: August 6, 2018

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