Center for Research in Scientific Computation

Works Published in 2019

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Displaying works 1 - 20 of 56 in total

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

2019 book

Introduction to Partial Differential Equations

By: Z. Li n & L. Norris n

Sources: NC State University Libraries, ORCID
Added: December 5, 2020

2019 article

The use of Bayesian inference in the characterization of materials and thin films

ACTA CRYSTALLOGRAPHICA A-FOUNDATION AND ADVANCES, Vol. 75, pp. A211–A211.

Sources: Web Of Science, ORCID
Added: August 3, 2020

2019 journal article

DERIVATIVE-BASED GLOBAL SENSITIVITY ANALYSIS FOR MODELS WITH HIGH-DIMENSIONAL INPUTS AND FUNCTIONAL OUTPUTS

SIAM JOURNAL ON SCIENTIFIC COMPUTING, 41(6), A3524–A3551.

By: H. Cleaves*, A. Alexanderian*, H. Guy, R. Smith* & M. Yu

author keywords: global sensitivity analysis; DGSMs; functional Sobol' indices; Karhunen-Loeve expansions
TL;DR: A framework for derivative-based global sensitivity analysis (GSA) for models with high-dimensional input parameters and functional outputs is presented and the strategy for a nonlinear ODE model of cholera epidemics and for elliptic PDEs is illustrated. (via Semantic Scholar)
UN Sustainable Development Goal Categories
3. Good Health and Well-being (OpenAlex)
Sources: Web Of Science, ORCID
Added: August 3, 2020

2019 journal article

An Augmented IB Method & Analysis for Elliptic BVP on Irregular Domains

An Augmented IB Method & Analysis for Elliptic BVP on Irregular Domains. CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES, 119(1), 63–72.

By: Z. Li*, B. Dong, F. Tong & W. Wang

author keywords: Immersed boundary method; augmented approach; convergence; derivative computing
TL;DR: An immersed boundary-augmented method has been developed for linear elliptic boundary value problems on arbitrary domains with a Dirichlet boundary condition that inherits the simplicity, robustness, and first order convergence of the IB method but also provides asymptotic convergence of partial derivatives. (via Semantic Scholar)
UN Sustainable Development Goal Categories
11. Sustainable Cities and Communities (OpenAlex)
Sources: Web Of Science, NC State University Libraries
Added: April 20, 2020

2019 journal article

Analysis of compartments-in-series models of liver metabolism as partial differential equations: the effect of dispersion and number of compartments

MATHEMATICAL BIOSCIENCES AND ENGINEERING, 16(3), 1082–1114.

author keywords: liver disease; zonation; computational inverse models; dispersion in flows; compartments-in-series models
MeSH headings : Adipose Tissue / metabolism; Food; Glucose / pharmacokinetics; Hepatocytes / metabolism; Humans; Insulin / metabolism; Lipid Metabolism; Lipolysis; Liver / blood supply; Liver / metabolism; Models, Biological; Non-alcoholic Fatty Liver Disease / metabolism; Non-alcoholic Fatty Liver Disease / pathology
TL;DR: This paper analyzes a "compartments-in-series" model of metabolic zonation in non-alcoholic fatty liver disease, focusing specifically at how the number of compartments and inclusion of dispersion in the flow affect simulation results. (via Semantic Scholar)
UN Sustainable Development Goal Categories
3. Good Health and Well-being (Web of Science; OpenAlex)
Source: Web Of Science
Added: April 20, 2020

2019 article

High-Resolution Positivity and Asymptotic Preserving Numerical Methods for Chemotaxis and Related Models

ACTIVE PARTICLES, VOL 2: ADVANCES IN THEORY, MODELS, AND APPLICATIONS, pp. 109–148.

By: A. Chertock n & A. Kurganov*

TL;DR: Many microorganisms exhibit a special pattern formation at the presence of a chemoattractant, food, light, or areas with high oxygen concentration, so a multiscale chemotaxis models can be used to describe collective cell movement. (via Semantic Scholar)
Sources: Web Of Science, NC State University Libraries
Added: March 30, 2020

2019 journal article

Model Input and Output Dimension Reduction Using Karhunen-Loeve Expansions With Application to Biotransport

ASCE-ASME JOURNAL OF RISK AND UNCERTAINTY IN ENGINEERING SYSTEMS PART B-MECHANICAL ENGINEERING, 5(4).

Sources: Web Of Science, NC State University Libraries
Added: January 27, 2020

2019 journal article

Application and Evaluation of Surrogate Models for Radiation Source Search

ALGORITHMS, 12(12).

By: J. Cook n, R. Smith n, J. Hite n, R. Stefanescu & J. Mattingly n

author keywords: surrogate modeling; bayesian inference; radiation source localization
TL;DR: This work considers the problem of inferring the 2D location and intensity of a radiation source in an urban environment using a ray-tracing model based on Boltzmann transport theory, and considers surrogate models based on Legendre polynomials, multivariate adaptive regression splines, radial basis functions, Gaussian processes, and neural networks. (via Semantic Scholar)
UN Sustainable Development Goal Categories
11. Sustainable Cities and Communities (Web of Science; OpenAlex)
Sources: Web Of Science, ORCID
Added: January 21, 2020

2019 journal article

Stochastic Galerkin method for cloud simulation

Mathematics of Climate and Weather Forecasting, 5(1), 65–106.

By: A. Chertock n, A. Kurganov n, M. Lukáčová-Medvid’ová*, P. Spichtinger* & B. Wiebe n

TL;DR: A stochastic Galerkin method is developed for a coupled Navier-Stokes-cloud system that models dynamics of warm clouds to explicitly describe the evolution of uncertainties that arise due to unknown input data, such as model parameters and initial or boundary conditions. (via Semantic Scholar)
Sources: Crossref, ORCID
Added: December 11, 2019

2019 article

A Mutual Information-Based Experimental Design Framework to Use High-Fidelity Nuclear Reactor Codes to Calibrate Low-Fidelity Codes

Gordon, N., Gilkey, L., Smith, R. C., Michaud, I., Williams, B., Mousseau, V., … Jones, C. (2019, December 2). NUCLEAR TECHNOLOGY, Vol. 205, pp. 1685–1696.

By: N. Gordon*, L. Gilkey*, R. Smith n, I. Michaud*, B. Williams*, V. Mousseau*, R. Hooper*, C. Jones*

author keywords: Mutual information; experimental design; Bayesian inference
UN Sustainable Development Goal Categories
7. Affordable and Clean Energy (OpenAlex)
Sources: Web Of Science, ORCID
Added: December 9, 2019

2019 journal article

Real-time implementation and analysis of a modified energy based controller for the swing-up of an inverted pendulum on a cart

EUROPEAN JOURNAL OF CONTROL, 50, 176–187.

By: E. Kennedy n, E. King n & H. Tran n

author keywords: Inverted pendulum; Energy based control; Lyapunov functions; Real-time implementation
TL;DR: A modified energy based swing-up controller using Lyapunov functions is derived using a more complex dynamical model for the single inverted pendulum (SIP) system than the simplified model that is most commonly used. (via Semantic Scholar)
UN Sustainable Development Goal Categories
7. Affordable and Clean Energy (OpenAlex)
Sources: Web Of Science, ORCID
Added: December 9, 2019

2019 journal article

Preface to the Special Issue in Memory of Professor Saul Abarbanel

Journal of Scientific Computing.

Semyon Tsynkov; Alina Chertock

Source: ORCID
Added: December 4, 2019

2019 journal article

LOCAL SENSITIVITY VIA THE COMPLEX-STEP DERIVATIVE APPROXIMATION FOR 1D PORO-ELASTIC AND PORO-VISCO-ELASTIC MODELS

MATHEMATICAL CONTROL AND RELATED FIELDS, 9(4), 623–642.

By: H. Banks*, K. Bekele-Maxwell, L. Bociu*, M. Noorman & G. Guidiboni

author keywords: Sensitivity; poro-elastic; poro-visco-elastic; biological tissues; complex-step method
Source: Web Of Science
Added: December 2, 2019

2019 journal article

A PARALLEL DOMAIN DECOMPOSITION METHOD FOR THE HELMHOLTZ EQUATION IN LAYERED MEDIA

SIAM JOURNAL ON SCIENTIFIC COMPUTING, 41(5), C505–C521.

By: E. Heikkola, K. Ito* & J. Toivanen*

author keywords: Helmholtz equation; domain decomposition method; preconditioned iterative method; ultrasonic tomography; geological survey
TL;DR: An efficient domain decomposition method and its parallel implementation for the solution of the Helmholtz equation in three-dimensional layered media are considered. (via Semantic Scholar)
Source: Web Of Science
Added: November 25, 2019

2019 journal article

Analysis of Network Structure of Urban Bike-Sharing System: A Case Study Based on Real-Time Data of a Public Bicycle System

SUSTAINABILITY, 11(19).

author keywords: sustainable mode of transportation; bike-sharing system; public bicycle; complex network; network structure
TL;DR: The results showed that there were many stations with low usage of public bicycles, the average service coverage of the public bicycle system was consistent with the original intention of “the first and last mile”, and public bicycles could meet different travel needs. (via Semantic Scholar)
UN Sustainable Development Goal Categories
11. Sustainable Cities and Communities (Web of Science; OpenAlex)
Sources: Web Of Science, ORCID
Added: November 18, 2019

2019 journal article

Approximating Periodic Potential Energy Surfaces with Sparse Trigonometric Interpolation

The Journal of Physical Chemistry B, 123(45), 9677–9684.

TL;DR: This work constructs a surrogate PES using trigonometric basis functions, for a system where the selected reaction coordinates all correspond to the torsion angles, resulting in a periodically repeating PES. (via Semantic Scholar)
UN Sustainable Development Goal Categories
7. Affordable and Clean Energy (Web of Science; OpenAlex)
Source: ORCID
Added: November 2, 2019

2019 journal article

ADAPTION OF AKAIKE INFORMATION CRITERION UNDER LEAST SQUARES FRAMEWORKS FOR COMPARISON OF STOCHASTIC MODELS

QUARTERLY OF APPLIED MATHEMATICS, 77(4), 831–859.

By: H. Banks n & M. Joyner*

author keywords: Continuous time Markov chain models; CTMC; stochastic differential equations; SDE; random differential equations; RDE; inverse problems; model comparison techniques; Akaike information criterion; AIC
UN Sustainable Development Goal Categories
Source: Web Of Science
Added: October 21, 2019

2019 journal article

Estimation of probability distributions of parameters using aggregate population data: analysis of a CAR T-cell cancer model

MATHEMATICAL BIOSCIENCES AND ENGINEERING, 16(6), 7299–7326.

author keywords: aggregate data; CAR T-cell therapy; cancer model; inverse problems; design of experiments
MeSH headings : Algorithms; Animals; Computer Simulation; Humans; Immunotherapy, Adoptive; Mice; Models, Theoretical; Neoplasm Transplantation; Neoplasms, Experimental / therapy; Population Dynamics; Probability; Receptors, Chimeric Antigen / chemistry; Reproducibility of Results; T-Lymphocytes / cytology
TL;DR: First elementary computations on the question how much data is needed for successful estimation of probability distributions are carried out on a class of CAR T-call cancer models in mice. (via Semantic Scholar)
UN Sustainable Development Goal Categories
Source: Web Of Science
Added: October 14, 2019

2019 journal article

Spatiotemporal characteristics of green travel: A classification study on a public bicycle system

JOURNAL OF CLEANER PRODUCTION, 238.

author keywords: Green travel; Public bicycle; Spatiotemporal characteristics; Clustering analysis; Visualization analysis
TL;DR: The results showed that public bicycles were mainly used for commuting or transferring, and social and economic activities around stations greatly influenced the use of public bicycles, however, the usage of the public bicycle system was still at a low level. (via Semantic Scholar)
UN Sustainable Development Goal Categories
Sources: Web Of Science, ORCID
Added: October 14, 2019

2019 journal article

Optimization of processor allocation for domain decomposed Monte Carlo calculations

Parallel Computing, 87, 77–86.

author keywords: Monte Carlo transport; Load imbalance; Domain decomposition; Noisy optimization
UN Sustainable Development Goal Categories
7. Affordable and Clean Energy (OpenAlex)
Sources: Web Of Science, Crossref, ORCID
Added: September 16, 2019

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