Center for Research in Scientific Computation

Works Published in 2010

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Displaying works 21 - 27 of 27 in total

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

2010 journal article

A Fast Explicit Operator Splitting Method for Passive Scalar Advection

JOURNAL OF SCIENTIFIC COMPUTING, 45(1-3), 200–214.

By: A. Chertock n , C. Doering *, E. Kashdan* & A. Kurganov *

Contributors: A. Chertock n , C. Doering *, E. Kashdan* & A. Kurganov *

TL;DR: A fast explicit operator splitting method is extended, recently proposed, for solving deterministic convection-diffusion equations, to the problems with random velocity fields and singular source terms. (via Semantic Scholar)
Sources: Web Of Science, ORCID, NC State University Libraries
Added: August 6, 2018

2010 journal article

A Compact Fourth Order Scheme for the Helmholtz Equation in Polar Coordinates

Journal of Scientific Computing, 45(1-3), 26–47.

By: S. Britt n, S. Tsynkov n  & E. Turkel *

author keywords: Helmholtz equation; Variable coefficients; Polar coordinates; High order accuracy; Compact finite differences; Exact artificial boundary condition (ABC)
TL;DR: This work develops a new compact scheme that is provably fourth order accurate even for scattering problems and presents numerical results that corroborate the fourth order convergence rate for several scattering problems. (via Semantic Scholar)
Sources: Web Of Science, NC State University Libraries, ORCID, Crossref
Added: August 6, 2018

2010 journal article

Using inverse problem methods with surveillance data in pneumococcal vaccination

MATHEMATICAL AND COMPUTER MODELLING, 51(5-6), 369–388.

By: K. Sutton n, H. Banks n & C. Castillo-Chavez*

author keywords: Inverse problems; Surveillance data; Epidemiological models; Pneumococcal diseases; Age structure
TL;DR: It is demonstrated that relevant yet typically unknown parameters may be estimated, and it is shown that a calibrated model may used to assess implemented vaccine policies through the estimation of parameters if vaccine history is recorded along with infection and colonization information. (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

2010 journal article

Electromagnetic interrogation and the Doppler shift using the method of mappings

MATHEMATICAL AND COMPUTER MODELLING, 51(5-6), 389–399.

By: H. Banks n, S. Hu n & W. Thompson n

author keywords: Electromagnetic Doppler shift; Moving interfaces; Method of mappings; Finite elements
TL;DR: The method of mappings is employed to transform the problem to one of computing solutions of a Maxwell system with time dependent coefficients on a fixed reference domain, obtaining a problem that is eminently tractable with finite element or finite difference time domain methods. (via Semantic Scholar)
UN Sustainable Development Goal Categories
1. No Poverty (Web of Science)
Source: Web Of Science
Added: August 6, 2018

2010 journal article

A Multicompartment Liver-based Pharmacokinetic Model for Benzene and its Metabolites in Mice

BULLETIN OF MATHEMATICAL BIOLOGY, 72(3), 507–540.

By: C. Manning n, P. Schlosser* & H. Tran n 

author keywords: Benzene metabolism model; Ordinary differential equations; Existence and uniqueness; Inverse problems
MeSH headings : Animals; Benzene / pharmacokinetics; Cytochrome P-450 CYP2E1 / metabolism; Glutathione / metabolism; Liver / enzymology; Liver / metabolism; Mice; Models, Biological
TL;DR: This study shows that the multicompartment metabolism model does improve predictions over the previous model and that in vitro metabolic constants can be successfully extrapolated to predict in vivo data for benzene metabolism and dosimetry. (via Semantic Scholar)
UN Sustainable Development Goal Categories
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

2010 journal article

An Axisymmetric Boundary Element Model for Determination of Articular Cartilage Pericellular Matrix Properties In Situ via Inverse Analysis of Chondron Deformation

JOURNAL OF BIOMECHANICAL ENGINEERING-TRANSACTIONS OF THE ASME, 132(3).

By: E. Kim n, F. Guilak * & M. Haider n 

author keywords: osteoarthritis; collagen; proteoglycan; aggrecan; numerical model; inverse problem
TL;DR: An axisymmetric boundary element method (BEM) was developed for linear elastic domains with internal interfaces and suggests an important role for the PCM in modulating the mechanical environment of the chondrocyte. (via Semantic Scholar)
UN Sustainable Development Goal Categories
Source: Web Of Science
Added: August 6, 2018

2010 journal article

Immersed Interface Finite Element Methods for Elasticity Interface Problems with Non-Homogeneous Jump Conditions

Numerical Mathematics: Theory, Methods and Applications, 3(1), 23–39.

By: Y. Gong & Z. Li 

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

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