Center for Research in Scientific Computation

Recent Works

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

2025 journal article

Rapid parameter inference with uncertainty quantification for a radiological plume source identification problem

Environmental and Ecological Statistics.

By: C. Edwards & R. Smith

topics (OpenAlex): Nuclear reactor physics and engineering; Radiation Detection and Scintillator Technologies; Radioactive contamination and transfer
Source: ORCID
Added: November 11, 2025

2025 journal article

A unified approach to high-order compact finite difference schemes for 3D Poisson equations

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 475.

By: K. Fu*, H. Hu, Z. Li* & K. Pan

author keywords: 3D Poisson equation; High order compact method; Discrete maximum principle; Finite difference scheme; Unified form of HOC schemes
topics (OpenAlex): Advanced Numerical Methods in Computational Mathematics; Differential Equations and Numerical Methods; Numerical methods for differential equations
Sources: Web Of Science, NC State University Libraries
Added: October 13, 2025

2025 article

Gyrotrons for Fusion Power Plants

Ives, R. L., Read, M., Neilson, J., Bui, T., Marsden, D., Le, T., & Tran, H. (2025, August 24). FUSION SCIENCE AND TECHNOLOGY, Vol. 8.

By: R. Ives*, M. Read*, J. Neilson*, T. Bui*, D. Marsden*, T. Le n, H. Tran n

author keywords: Gyrotron; electron cyclotron heating; plasma heating; machine learning; depressed collector
topics (OpenAlex): Gyrotron and Vacuum Electronics Research; Particle accelerators and beam dynamics; Pulsed Power Technology Applications
Sources: Web Of Science, NC State University Libraries
Added: September 2, 2025

2025 journal article

A fourth order mixed compact finite difference scheme for biharmonic equations

JOURNAL OF COMPUTATIONAL PHYSICS, 539.

By: K. Pan, J. Li, Z. Li* & H. Hu

author keywords: Biharmonic equation; Fourth order mixed compact scheme; Finite difference method; Error analysis; Stokes flow; Variable coefficients; Nonlinear biharmonic equation
topics (OpenAlex): Differential Equations and Numerical Methods; Advanced Numerical Methods in Computational Mathematics; Numerical methods for differential equations
Sources: Web Of Science, NC State University Libraries
Added: August 18, 2025

2025 article

Characterizing variability and uncertainty for parameter subset selection in PBPK models

Schacht, C. M., Kapraun, D. F., Meade, A. E., Bernstein, A. S., Tran, H. T., & Schlosser, P. M. (2025, September 12). TOXICOLOGICAL SCIENCES.

author keywords: physiologically based pharmacokinetics; mathematical modeling; human risk assessment; uncertainty quantification; sensitivity analysis
topics (OpenAlex): Carcinogens and Genotoxicity Assessment; Effects and risks of endocrine disrupting chemicals; Statistical Methods in Clinical Trials; Probabilistic and Robust Engineering Design; Control Systems and Identification; Fault Detection and Control Systems
Sources: ORCID, Web Of Science
Added: July 30, 2025

2025 journal article

A Hybrid Finite-Difference-Particle Method for Chemotaxis Models

JOURNAL OF SCIENTIFIC COMPUTING, 104(2).

By: A. Chertock*, S. Cui, A. Kurganov* & C. Wang

author keywords: Patlak-Keller-Segel chemotaxis systems; Two-species chemotaxis; Sticky particle method; Finite-difference schemes; Blow up
topics (OpenAlex): Mathematical Biology Tumor Growth; Cancer Cells and Metastasis; Gas Dynamics and Kinetic Theory
Sources: Web Of Science, NC State University Libraries
Added: June 30, 2025

2025 article

Robust solutions of nonlinear least squares problems via min-max optimization

Chen, X., & Kelley, C. T. (2025, May 16). IMA JOURNAL OF NUMERICAL ANALYSIS, Vol. 5.

By: X. Chen* & C. Kelley n

co-author countries: Hong Kong 🇭🇰
author keywords: min-max optimization; nonlinear least squares problems; numerical solution of integral equations; nonsmooth nonconvex optimization; complexity
topics (OpenAlex): Advanced Optimization Algorithms Research; Sparse and Compressive Sensing Techniques; Probabilistic and Robust Engineering Design
Sources: Web Of Science, NC State University Libraries
Added: May 27, 2025

2025 journal article

Statistical Analysis of Performance of Optimisation-Based SAR Autofocus

IET RADAR SONAR AND NAVIGATION, 19(1).

By: P. Haughey n, M. Gilman n & S. Tsynkov n

author keywords: environmental factors; inverse synthetic aperture radar (ISAR); ionospheric disturbances; optimisation; phase estimation; statistical analysis
topics (OpenAlex): Advanced SAR Imaging Techniques; Synthetic Aperture Radar (SAR) Applications and Techniques; Image Processing Techniques and Applications
Sources: ORCID, Web Of Science, NC State University Libraries
Added: May 16, 2025

2025 chapter

Spline-Based Stochastic Collocation Methods for Uncertainty Quantification in Nonlinear Hyperbolic PDEs

By: A. Chertock*, A. Iskhakov, S. Janajra & A. Kurganov

topics (OpenAlex): Probabilistic and Robust Engineering Design; Computational Fluid Dynamics and Aerodynamics; Nuclear Engineering Thermal-Hydraulics
Source: ORCID
Added: April 24, 2025

2025 article

Localization of Stationary and Moving Radiation Sources Using a Feedforward Neural Network with an Array of Sensors

Edwards, C., Smith, R. C., Mattingly, J., & Wilson, A. G. (2025, April 13). NUCLEAR TECHNOLOGY, Vol. 4.

By: C. Edwards n, R. Smith n, J. Mattingly n & A. Wilson n

author keywords: Neural network; source localization; radiation detector
topics (OpenAlex): Target Tracking and Data Fusion in Sensor Networks; Infrared Target Detection Methodologies; Advanced Optical Sensing Technologies
UN Sustainable Development Goals Color Wheel
UN Sustainable Development Goal Categories
7. Affordable and Clean Energy (OpenAlex)
Sources: ORCID, Web Of Science, NC State University Libraries
Added: April 11, 2025

2025 journal article

Bayesian inference informed by parameter subset selection for a minimal PBPK brain model

Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 383(2292), 20240219.

By: K. Dadashova n, R. Smith n, M. Haider n & B. Reich n

author keywords: parameter subset selection; Bayesian inference; physiologically based pharmacokinetic modelling; parameter identifiability
MeSH headings : Bayes Theorem; Brain / metabolism; Humans; Models, Biological; Uncertainty; Pharmacokinetics; Animals; Computer Simulation
topics (OpenAlex): Statistical Methods in Clinical Trials; Statistical Methods and Bayesian Inference; Statistical Methods and Inference
Sources: Web Of Science, NC State University Libraries, Crossref, NC State University Libraries
Added: March 24, 2025

2025 journal article

Mathematical modeling of multicellular tumor spheroids quantifies inter-patient and intra-tumor heterogeneity

NPJ SYSTEMS BIOLOGY AND APPLICATIONS, 11(1).

co-author countries: Sweden 🇸🇪
MeSH headings : Patient-Specific Modeling; Humans; Spheroids, Cellular / physiology; Tumor Cells, Cultured / physiology; Glioblastoma; Brain Neoplasms; Cell Proliferation; Cell Movement
topics (OpenAlex): Mathematical Biology Tumor Growth; Cancer Cells and Metastasis; Cancer Genomics and Diagnostics
Source: Web Of Science
Added: February 24, 2025

2025 journal article

Comparative Analysis of Performance for Optimization-Based Transionospheric SAR Autofocus

RADIO SCIENCE, 60(2).

By: M. Gilman n & S. Tsynkov n

author keywords: synthetic aperture radar; ionosphere; phase screen; autofocus; optimization
topics (OpenAlex): Synthetic Aperture Radar (SAR) Applications and Techniques; Advanced SAR Imaging Techniques; Sparse and Compressive Sensing Techniques
Sources: ORCID, Web Of Science, NC State University Libraries
Added: February 22, 2025

2024 journal article

Monte Carlo / Dynamic Code (MC/DC): An accelerated Python package for fully transient neutron transport and rapid methods development

Journal of Open Source Software.

By: J. Morgan, I. Variansyah, S. Pasmann, K. Clements, B. Cuneo, A. Mote, C. Goodman, C. Shaw ...

topics (OpenAlex): Nuclear reactor physics and engineering; Nuclear Physics and Applications; Graphite, nuclear technology, radiation studies
Source: ORCID
Added: April 26, 2025

2024 conference paper

Lacunae-based computation of time-harmonic scattering in 3D

In L. Gizon (Ed.), Book of Abstracts, The 16th International Conference on Mathematical and Numerical Aspects of Wave Propagation (WAVES 2024) (pp. 393–394).

By: S. Petropavlovsky, S. Tsynkov & E. Turkel

Ed(s): L. Gizon

Source: NC State University Libraries
Added: February 16, 2025

2024 chapter book

Finding the Shape of Lacunae of the Wave Equation Using Artificial Neural Networks

By: A. Chertock, C. Leonard & S. Tsynkov*

topics (OpenAlex): Image and Signal Denoising Methods; Seismic Imaging and Inversion Techniques; Underwater Acoustics Research
Sources: Crossref, NC State University Libraries
Added: February 9, 2025

2024 article proceedings

Performance Limitations for the Phase Screen in the Settings of Transionospheric SAR

By: M. Gilman n & S. Tsynkov n

author keywords: SAR imaging; autofocus; ionosphere
topics (OpenAlex): Advanced SAR Imaging Techniques; Synthetic Aperture Radar (SAR) Applications and Techniques; Microwave Imaging and Scattering Analysis
Sources: Crossref, NC State University Libraries, Web Of Science
Added: February 9, 2025

2024 article proceedings

Phase Curvature Autofocus for Transionospheric Radar

By: M. Gilman n & S. Tsynkov n

author keywords: SAR imaging; autofocus; ionosphere
topics (OpenAlex): Advanced SAR Imaging Techniques; Synthetic Aperture Radar (SAR) Applications and Techniques; Microwave Imaging and Scattering Analysis
UN Sustainable Development Goals Color Wheel
UN Sustainable Development Goal Categories
7. Affordable and Clean Energy (OpenAlex)
Sources: Crossref, NC State University Libraries, Web Of Science
Added: February 9, 2025

2024 journal article

Detection of dispersive targets in synthetic aperture radar images with the help of deep learning

Communications on Analysis and Computation, 2(3), 246–272.

By: S. Chidara, M. Gilman n, R. Sah* & S. Tsynkov n

topics (OpenAlex): Geophysical Methods and Applications; Advanced SAR Imaging Techniques; Microwave Imaging and Scattering Analysis
Sources: Crossref, NC State University Libraries
Added: January 19, 2025

2024 article

Comparative analysis of performance for optimization-based transionospheric SAR autofocus

Gilman, M., & Tsynkov, S. (2024, October 30).

topics (OpenAlex): Advanced SAR Imaging Techniques; Synthetic Aperture Radar (SAR) Applications and Techniques
Source: ORCID
Added: January 18, 2025

2024 journal article

Modeling BK Virus Infection in Renal Transplant Recipients

VIRUSES-BASEL, 17(1).

author keywords: kidney; renal; transplant; modeling; sensitivity; BKPyV; model calibration; immunosuppression
MeSH headings : BK Virus; Humans; Polyomavirus Infections / virology; Kidney Transplantation / adverse effects; Transplant Recipients; Tumor Virus Infections / virology; Immunosuppressive Agents / adverse effects; Immunosuppressive Agents / therapeutic use; Graft Rejection / prevention & control; Graft Rejection / immunology
topics (OpenAlex): Polyomavirus and related diseases; Parvovirus B19 Infection Studies; Mathematical and Theoretical Epidemiology and Ecology Models
Sources: ORCID, Web Of Science, NC State University Libraries
Added: December 31, 2024

2024 article

The Immersed Interface Method for Navier-Stokes Equations with Interfaces in Cylindrical Coordinates

Ruiz-alvarez, J., Dong, B., & Li, Z. (2024, December 28). COMMUNICATIONS ON APPLIED MATHEMATICS AND COMPUTATION, Vol. 12.

By: J. Ruiz-alvarez*, B. Dong* & Z. Li n

co-author countries: China 🇨🇳 Spain 🇪🇸
author keywords: Immersed interface method (IIM); Navier-Stokes equations; Axis-symmetric interface problem; Staggered grid; Pole singularity; Finite difference method
topics (OpenAlex): Lattice Boltzmann Simulation Studies; Fluid Dynamics and Heat Transfer; Rheology and Fluid Dynamics Studies
Sources: ORCID, Web Of Science, NC State University Libraries
Added: December 28, 2024

2024 journal article

A DIRECT METHOD FOR SOLVING THREE-DIMENSIONAL ELLIPTIC INTERFACE PROBLEMS

INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING, 21(3), 353–374.

By: K. Gamage, Y. Peng & Z. Li*

author keywords: Piecewise constant coefficients with a finite jump; elliptic interface problems; finite difference scheme
topics (OpenAlex): Advanced Numerical Methods in Computational Mathematics; Numerical methods in engineering; Advanced Numerical Analysis Techniques
Sources: Web Of Science, NC State University Libraries
Added: December 23, 2024

2024 article

Convergence study of IB methods for Stokes equations with prescribed velocity boundary conditions

Li, Z., Pan, K., & Ruiz-alvarez, J. (2025, February 7). IMA JOURNAL OF NUMERICAL ANALYSIS, Vol. 2.

co-author countries: China 🇨🇳 Spain 🇪🇸
author keywords: Immersed Boundary (IB) method; Stokes equations; discrete Green function on bounded lattices; singular sources; Dirichlet velocity BC; convergence
topics (OpenAlex): Lattice Boltzmann Simulation Studies; Fluid Dynamics and Turbulent Flows; Advanced Numerical Methods in Computational Mathematics
Sources: ORCID, Web Of Science, NC State University Libraries
Added: December 11, 2024

2024 journal article

MultiPrecisionArrays.jl: A Julia package for iterative refinement

Journal of Open Source Software.

By: C. Kelley*

topics (OpenAlex): Parallel Computing and Optimization Techniques; Numerical Methods and Algorithms; Matrix Theory and Algorithms
Source: ORCID
Added: October 1, 2024

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