Center for Research in Scientific Computation

Works Published in 2024

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Displaying all 16 works

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

2024 journal article

Fourth-Order Accurate Compact Scheme for First-Order Maxwell's Equations

JOURNAL OF SCIENTIFIC COMPUTING, 100(2).

By: I. Versano*, E. Turkel* & S. Tsynkov n

author keywords: Compact finite differences; Maxwell's equations; High order accuracy; Bounded domain
Sources: Web Of Science, NC State University Libraries
Added: July 1, 2024

2024 article

Evaluating the impact of anatomical and physiological variability on human equivalent doses using PBPK models

Schacht, C. M., Meade, A. E., Bernstein, A. S., Prasad, B., Schlosser, P. M., Tran, H. T., & Kapraun, D. F. (2024, May 25). TOXICOLOGICAL SCIENCES.

By: C. Schacht*, A. Meade*, A. Bernstein*, B. Prasad*, P. Schlosser*, H. Tran n, D. Kapraun*

UN Sustainable Development Goal Categories
3. Good Health and Well-being (OpenAlex)
Sources: ORCID, Web Of Science
Added: June 22, 2024

2024 article

New High-Order Numerical Methods for Hyperbolic Systems of Nonlinear PDEs with Uncertainties

Chertock, A., Herty, M., Iskhakov, A. S., Janajra, S., Kurganov, A., & Lukacova-Medvid'ova, M. (2024, June 4). COMMUNICATIONS ON APPLIED MATHEMATICS AND COMPUTATION, Vol. 6.

author keywords: Hyperbolic conservation and balance laws with uncertainties; Finite-volume methods; Central-upwind schemes; Weighted essentially non-oscillatory (WENO) interpolations
Sources: Web Of Science, NC State University Libraries
Added: June 17, 2024

2024 article

Mitigating Spatial Error in the Iterative Quasi-Monte Carlo (iQMC) Method for Neutron Transport Simulations with Linear Discontinuous Source Tilting and Effective Scattering and Fission Rate Tallies

Pasmann, S., Variansyah, I., Kelley, C. T., & McClarren, R. G. (2024, May 5). NUCLEAR SCIENCE AND ENGINEERING, Vol. 5.

author keywords: Neutron transport; Monte Carlo methods; Quasi-Monte Carlo; Krylov linear solvers; source tilting
Sources: Web Of Science, NC State University Libraries
Added: May 20, 2024

2024 journal article

High order compact augmented methods for Stokes equations with different boundary conditions

Computer Physics Communications.

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

Source: ORCID
Added: May 15, 2024

2024 journal article

Fully accurate approximation of piecewise smooth functions using corrected B-spline quasi-interpolants

COMPUTATIONAL & APPLIED MATHEMATICS, 43(4).

author keywords: IIM; B-spline; Correction terms; Improved adaption to discontinuities; Signal processing
UN Sustainable Development Goal Categories
11. Sustainable Cities and Communities (OpenAlex)
Sources: Web Of Science, NC State University Libraries
Added: April 29, 2024

2024 journal article

Quantifying collective motion patterns in mesenchymal cell populations using topological data analysis and agent-based modeling

MATHEMATICAL BIOSCIENCES, 370.

By: K. Nguyen n, C. Jameson*, S. Baldwin n, J. Nardini*, R. Smith n, J. Haugh n, K. Flores n

author keywords: Topological data analysis; Agent-based Modeling; Deep learning; Approximate Bayesian Computation; Cell migration
Sources: Web Of Science, NC State University Libraries
Added: April 22, 2024

2024 article

New third-order convex splitting methods and analysis for the phase field crystal equation

Ye, Z., Zheng, Z., & Li, Z. (2024, February 28). NUMERICAL ALGORITHMS, Vol. 2.

author keywords: Phase field crystal equation; Convex splitting method; Third-order backward difference formula; Unique solvability; Energy stability
Sources: Web Of Science, NC State University Libraries
Added: March 18, 2024

2024 journal article

Computation of unsteady electromagnetic scattering about 3D complex bodies in free space with high-order difference potentials

JOURNAL OF COMPUTATIONAL PHYSICS, 498.

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

author keywords: Maxwell's equations; CAD surface with piece-wise parameterization; Calderon's boundary equations with projections; High-order compact schemes on Cartesian grids; Non-conforming scattering shapes; Huygens' principle
Sources: Web Of Science, NC State University Libraries
Added: February 12, 2024

2024 article

Coupled transformation methods and analysis for BVPs on infinite domains

Li, Z., & Pan, K. (2024, July). JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, Vol. 444.

By: Z. Li n & K. Pan*

author keywords: Infinity domains; Large domains; Transformation method; Discrete maximum principle; Convergence analysis; Polar coordinates
Sources: ORCID, Web Of Science, NC State University Libraries
Added: February 2, 2024

2024 journal article

Modeling the Earth's Ionosphere by a Phase Screen for the Analysis of Transionospheric SAR Imaging

IEEE TRANSACTIONS ON GEOSCIENCE AND REMOTE SENSING, 62.

By: M. Gilman n & S. Tsynkov n

author keywords: Ionosphere; phase correction; phase screen; synthetic aperture radar (SAR)
Sources: Web Of Science, NC State University Libraries
Added: January 16, 2024

2024 journal article

Stable high order FD methods for interface and internal layer problems based on non-matching grids

Numerical Algorithms.

Source: ORCID
Added: January 5, 2024

2024 journal article

Local Identifiability Analysis, Parameter Subset Selection and Verification for a Minimal Brain PBPK Model

BULLETIN OF MATHEMATICAL BIOLOGY, 86(2).

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

author keywords: Parameter subset selection; Local sensitivity analysis; Identifiability; PBPK modeling; Energy statistics
TL;DR: This work introduces the use of a local sensitivity-based parameter subset selection algorithm in the context of a minimal PBPK (mPBPK) model of the brain for antibody therapeutics to provide a systematic and robust technique to determine identifiable parameter subsets in a PBPK model across a specified time domain of interest. (via Semantic Scholar)
UN Sustainable Development Goal Categories
3. Good Health and Well-being (OpenAlex)
Sources: ORCID, Web Of Science, NC State University Libraries
Added: January 3, 2024

2024 journal article

A pressure Poisson equation-based second-order method for solving two-dimensional moving contact line problems with topological changes

COMPUTERS & FLUIDS, 269.

By: S. Chai*, Z. Li n, Z. Zhang* & Z. Zhang*

author keywords: Moving contact lines; Topological changes; Immersed interface method; Parametric finite element method; Pressure Poisson equation
Sources: Web Of Science, NC State University Libraries, ORCID
Added: January 2, 2024

2024 journal article

A Stable FE-FD Method for Anisotropic Parabolic PDEs with Moving Interfaces

Communications on Applied Mathematics and Computation.

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

Source: ORCID
Added: July 11, 2023

2024 journal article

An XGBoost-Based Fitted Q Iteration for Finding the Optimal STI Strategies for HIV Patients

IEEE Transactions on Neural Networks and Learning Systems.

By: Y. Yu* & H. Tran n

author keywords: Viruses (medical); Immune system; Drugs; Numerical models; Subspace constraints; Mathematical models; Load modeling; Fitted Q iteration algorithm; human immunodeficiency virus (HIV); reinforcement learning; structured treatment interruption (STI) strategy; XGBoost regression
TL;DR: An XGBoost-based fitted Q iteration algorithm is proposed for finding the optimal structured treatment interruption (STI) strategies for HIV patients, and it is shown that this algorithm can obtain acceptable and optimal STI strategies with fewer training data. (via Semantic Scholar)
UN Sustainable Development Goal Categories
3. Good Health and Well-being (OpenAlex)
Source: ORCID
Added: August 3, 2022

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