Mathematics

Works Published in 2008

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Displaying works 81 - 100 of 138 in total

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

2008 journal article

Differential Galois theory of linear difference equations

MATHEMATISCHE ANNALEN, 342(2), 333–377.

By: C. Hardouin & M. Singer n

UN Sustainable Development Goal Categories
Source: Web Of Science
Added: August 6, 2018

2008 journal article

Sensitivity to noise variance in a social network dynamics model

QUARTERLY OF APPLIED MATHEMATICS, 66(2), 233–247.

By: H. Banks n, A. Karr *, H. Nguyen n & J. Samuels n

UN Sustainable Development Goal Categories
10. Reduced Inequalities (OpenAlex)
Source: Web Of Science
Added: August 6, 2018

2008 journal article

Sensitivity analysis and model assessment: Mathematical models for arterial blood flow and blood pressure

CARDIOVASCULAR ENGINEERING, 8(2), 94–108.

By: L. Ellwein n, H. Tran n , C. Zapata n, V. Novak n & M. Olufsen n

author keywords: cardiovascular modeling; sensitivity analysis; model reduction; parameter estimation
MeSH headings : Algorithms; Arteries / physiology; Blood Flow Velocity / physiology; Blood Pressure / physiology; Computer Simulation; Diagnosis, Computer-Assisted / methods; Models, Cardiovascular; Posture / physiology; Reproducibility of Results; Sensitivity and Specificity
UN Sustainable Development Goal Categories
3. Good Health and Well-being (Web of Science; OpenAlex)
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

2008 journal article

Modeling heart rate regulation - Part II: Parameter identification and analysis

CARDIOVASCULAR ENGINEERING, 8(2), 109–119.

By: K. Fowler*, G. Gray* & M. Olufsen n

author keywords: derivative-free optimization; model based prediction of heart rate; sensitivity analysis
MeSH headings : Algorithms; Animals; Baroreflex / physiology; Blood Flow Velocity / physiology; Blood Pressure / physiology; Computer Simulation; Heart Rate / physiology; Humans; Models, Cardiovascular
TL;DR: This study compares the Nelder–Mead optimization method to two sampling methods: the implicit filtering method and a genetic algorithm and shows that these off-the-shelf optimization methods can work in conjunction with the heart rate model and provide reasonable parameter estimates with little algorithm tuning. (via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018

2008 journal article

Modeling heart rate regulation - Part I: Sit-to-stand versus head-up tilt

CARDIOVASCULAR ENGINEERING, 8(2), 73–87.

By: M. Olufsen n, A. Alston n, H. Tran n , J. Ottesen * & V. Novak*

author keywords: mathematical modeling; heart rate regulation; sensitivity analysis
MeSH headings : Aged; Baroreflex / physiology; Blood Pressure / physiology; Computer Simulation; Feedback, Physiological / physiology; Female; Head / physiology; Heart Rate / physiology; Humans; Male; Models, Cardiovascular; Posture / physiology; Tilt-Table Test / methods
TL;DR: During head-up tilt, the baseline firing-rate is larger than during sit-to-stand and that the combined effect of vestibular and central command stimulation of muscle sympathetic nerve activity is less pronounced than during sitting to standing. (via Semantic Scholar)
UN Sustainable Development Goal Categories
3. Good Health and Well-being (Web of Science; OpenAlex)
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

2008 article

Introduction to the special issues: Short-term cardiovascular-respiratory control mechanisms

Batzel, J. J., Novak, V., Kappel, F., Olufsen, M. S., & Tran, H. T. (2008, March). CARDIOVASCULAR ENGINEERING, Vol. 8, pp. 1–4.

By: J. Batzel*, V. Novak*, F. Kappel*, M. Olufsen n & H. Tran n 

MeSH headings : Animals; Cardiovascular Physiological Phenomena; Computer Simulation; Feedback / physiology; Humans; Models, Biological; Respiratory Physiological Phenomena
TL;DR: This and the following issue of Cardiovascular Engineering are special issues reflecting research discussed during an interdisciplinary focused workshop entitled Short-term Cardiovascular–Respiratory Control Mechanisms. (via Semantic Scholar)
UN Sustainable Development Goal Categories
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

2008 journal article

Chains in the noncrossing partition lattice

SIAM JOURNAL ON DISCRETE MATHEMATICS, 22(3), 875–886.

By: N. Reading* 

Contributors: N. Reading* 

author keywords: absolute order; Catalan number; chain enumeration; Coxeter element; Coxeter group; generalized cluster complex; noncrossing partition; parking function
TL;DR: A simpler proof of a known uniform formula for the number of maximal chains of noncrossing partitions and a new uniform formula that is proven uniformly in a general relation is obtained. (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

2008 journal article

BCWEEVIL: A simulation model of the joint population dynamics between spruce weevil and Sitka spruce, over the lifetime of a plantation

ECOLOGICAL COMPLEXITY, 5(3), 260–271.

By: J. Bishir n, A. Yanchuk*, J. Russell* & K. Polsson*

author keywords: simulation model; population dynamics; Sitka spruce; spruce and white pine weevil; Pissodes strobi
TL;DR: A computer simulation model of the joint population dynamics within this tree/pest system, over the lifetime of a plantation, is described, and is combined with the Province of British Columbia's Tree and Stand Simulator (TASS) to drive individual tree growth and stand establishment and development. (via Semantic Scholar)
UN Sustainable Development Goal Categories
13. Climate Action (Web of Science)
15. Life on Land (Web of Science; OpenAlex)
Source: Web Of Science
Added: August 6, 2018

2008 journal article

A respiratory system model: Parameter estimation and sensitivity analysis

CARDIOVASCULAR ENGINEERING, 8(2), 120–134.

By: M. Fink *, J. Batzel* & H. Tran n 

author keywords: respiratory system; mathematical models; sensitivity analysis; parameter identification
MeSH headings : Carbon Dioxide / metabolism; Computer Simulation; Feedback, Physiological / physiology; Humans; Lung / physiology; Models, Biological; Oxygen / metabolism; Pulmonary Gas Exchange / physiology; Reproducibility of Results; Respiratory Mechanics / physiology; Sensitivity and Specificity
TL;DR: This paper considers a simple model of the respiratory control system and describes issues related to numerical estimates of key parameters involved in respiratory function such as central and peripheral control gains, transport delay, and lung compartment volumes, and examines methods for studying how to improve the parameter estimation process. (via Semantic Scholar)
UN Sustainable Development Goal Categories
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

2008 journal article

Sparse directional image representations using the discrete shearlet transform

APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS, 25(1), 25–46.

By: G. Easley*, D. Labate n & W. Lim *

author keywords: curvelets; denoising; image processing; shearlets; sparse representation; wavelets
TL;DR: The numerical experiments presented in this paper demonstrate that the discrete shearlet transform is very competitive in denoising applications both in terms of performance and computational efficiency. (via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018

2008 journal article

Bidiagonal decompositions of oscillating systems of vectors

LINEAR ALGEBRA AND ITS APPLICATIONS, 428(11-12), 2536–2548.

By: F. Dopico & P. Koev*

author keywords: totally positive matrix; eigenvectors; variation diminishing property
Source: Web Of Science
Added: August 6, 2018

2008 journal article

A bidirectionally coupled magnetoelastic model and its validation using a Galfenol unimorph sensor

Smart Materials & Structures, 17(3).

By: C. Mudivarthi, S. Datta, J. Atulasimha & A. Flatau

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

2008 journal article

Variational approach to shape derivatives

ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS, 14(3), 517–539.

By: K. Ito n, K. Kunisch * & G. Peichl*

author keywords: shape derivative
Source: Web Of Science
Added: August 6, 2018

2008 journal article

Lacunae based stabilization of PMLs

Journal of Computational Physics, 227(15), 7322–7345.

By: H. Qasimov n & S. Tsynkov n 

author keywords: perfectly matched layer (PML); long-time stability; weak well-posedness; wave propagation; hyperbolicity; the Huygens' principle; Lacunae; Maxwell's equations; artificial boundary conditions (ABCs); numerical solution
TL;DR: This work proposes a modification that stabilizes any PML applied to a hyperbolic partial differential equation/system that satisfies the Huygens' principle and allows us to establish a temporally uniform error bound for arbitrarily long-time intervals. (via Semantic Scholar)
Sources: Web Of Science, NC State University Libraries, ORCID, Crossref
Added: August 6, 2018

2008 journal article

Finite difference approximations for stochastic control systems with delay

STOCHASTIC ANALYSIS AND APPLICATIONS, 26(3), 451–470.

By: M. Chang*, T. Pang n & M. Pemy*

author keywords: finite difference approximation; stochastic control; stochastic functional differential equations; viscosity solutions
Source: Web Of Science
Added: August 6, 2018

2008 journal article

Dynamic models for insect mortality due to exposure to insecticides

MATHEMATICAL AND COMPUTER MODELLING, 48(1-2), 316–332.

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

author keywords: differential equation models; insect populations; insecticide exposure; time-varying mortality rates
TL;DR: It is shown that ordinary differential equation models for insecticide induced sublethal damage and delayed death in insect populations provide excellent fits to experimental data for populations subjected to numerous levels of insecticide exposure. (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

2008 journal article

Comparison of derivative-free optimization methods for groundwater supply and hydraulic capture community problems

ADVANCES IN WATER RESOURCES, 31(5), 743–757.

By: K. Fowler*, J. Reese*, C. Kees *, J. Dennis*, C. Kelley n , C. Miller *, C. Audet *, A. Booker* ...

author keywords: sampling methods; genetic algorithm; local minima; nondifferentiable objective function
UN Sustainable Development Goal Categories
6. Clean Water and Sanitation (OpenAlex)
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

2008 article

An explicit jump immersed interface method for two-phase Navier-Stokes equations with interfaces

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, Vol. 197, pp. 2317–2328.

By: V. Rutka* & Z. Li n 

author keywords: Navier-Stokes equations; interface; discontinuous viscosity; immersed interface method; explicit jump immersed interface method; projection method
TL;DR: An explicit jump immersed interface method (EJIIM) for the incompressible Navier–Stokes equations with a discontinuous viscosity and singular forces along one or several interfaces in the solution domain to get a second-order finite difference discretization at the grid points near or on the interface. (via Semantic Scholar)
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

2008 journal article

Algorithms for computations in local symmetric spaces

COMMUNICATIONS IN ALGEBRA, 36(5), 1758–1788.

By: J. Daniel* & A. Helminck n

author keywords: Lie algebras of linear algebraic groups; symmetric spaces
TL;DR: This article lays the groundwork for computing the fine structure of symmetric spaces over the real numbers and other base fields, gives a complete set of algorithms for computing this structure and uses this to compute nice bases for the local symmetric varieties. (via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018

2008 journal article

Adjoint estimation using direct transcription multipliers: compressed trapezoidal method

OPTIMIZATION AND ENGINEERING, 9(3), 291–305.

By: A. Engelsone* & S. Campbell n 

author keywords: direct transcription; adjoint estimation; trapezoid method; optimal control
UN Sustainable Development Goal Categories
Sources: Web Of Science, ORCID
Added: August 6, 2018

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