Works Published in 2024
Displaying works 1 - 20 of 24 in total
Sorted by most recent date added to the index first, which may not be the same as publication date order.
2024 article
Convergence study of IB methods for Stokes equations with prescribed velocity boundary conditions
Li, Z., Pan, K., & Ruiz-Álvarez, J. (2024, December 11).
Source: ORCID
Added: December 11, 2024
2024 journal article
MultiPrecisionArrays.jl: A Julia package for iterative refinement
Journal of Open Source Software.
open access via doi.org (publisher)
Source: ORCID
Added: October 1, 2024
2024 chapter
Simulating Partial Differential Equations with Neural Networks
In SEMA SIMAI Springer Series.
Source: ORCID
Added: September 1, 2024
2024 journal article
Accurate deterministic projection methods for stiff detonation waves
Communications in Mathematical Sciences.
Source: ORCID
Added: September 1, 2024
2024 journal article
A generalized level-set immersed interface method with application
COMPUTERS & FLUIDS, 283.
author keywords: Level-set method; Immersed interface method; Finite difference method; Electrohydrodynamics; Contact line
Sources: ORCID, Web Of Science, NC State University Libraries
Added: September 1, 2024
2024 journal article
Locally divergence-free well-balanced path-conservative central-upwind schemes for rotating shallow water MHD
JOURNAL OF COMPUTATIONAL PHYSICS, 518.
author keywords: Rotating shallow water; magnetohydrodynamics; Divergence-free constraints; Nonconservative hyperbolic systems of; nonlinear PDEs; Path-conservative central-upwind scheme; Flux globalization based well-balanced scheme
Sources: Web Of Science, NC State University Libraries
Added: August 19, 2024
2024 journal article
A NEW LOCALLY DIVERGENCE-FREE PATH-CONSERVATIVE CENTRAL-UPWIND SCHEME FOR IDEAL AND SHALLOW WATER MAGNETOHYDRODYNAMICS
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 46(3), A1998–A2024.
author keywords: ideal magnetohydro dynamics; shallow water magnetohydro dynamics; divergence- free constraints; path-conservative central-upwind scheme; nonconservative hyperbolic systems of nonlinear PDEs
UN Sustainable Development Goal Categories
6. Clean Water and Sanitation
(OpenAlex)
Sources: Web Of Science, NC State University Libraries
Added: August 19, 2024
2024 journal article
A database of chemical absorption in human skin with mechanistic modeling applications
SCIENTIFIC DATA, 11(1).
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(Web of Science)
Sources: Web Of Science, NC State University Libraries
Added: July 30, 2024
2024 journal article
Fourth-Order Accurate Compact Scheme for First-Order Maxwell's Equations
JOURNAL OF SCIENTIFIC COMPUTING, 100(2).
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, Vol. 5.
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(Web of Science; OpenAlex)
Sources: Web Of Science, ORCID, NC State University Libraries
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
UN Sustainable Development Goal Categories
11. Sustainable Cities and Communities
(Web of Science)
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, 301.
author keywords: Stationery Stokes equations; Three-Poisson equation approach; Augmented strategy; High order compact scheme; Preconditioning; Pressure Poisson equation (PPE)
Sources: ORCID, Web Of Science, NC State University Libraries
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.
author keywords: Topological data analysis; Agent-based Modeling; Deep learning; Approximate Bayesian Computation; Cell migration
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(Web of Science)
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
2023 journal article
Computation of unsteady electromagnetic scattering about 3D complex bodies in free space with high-order difference potentials
JOURNAL OF COMPUTATIONAL PHYSICS, 498.
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.
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
2023 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.
author keywords: Ionosphere; phase correction; phase screen; synthetic aperture radar (SAR)
Sources: Web Of Science, NC State University Libraries
Added: January 16, 2024
2023 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
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