Center for Research in Scientific Computation

Works Published in 2023

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Displaying works 1 - 20 of 28 in total

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

2023 article

Transionospheric Autofocus for Synthetic Aperture Radar

2023 INTERNATIONAL CONFERENCE ON ELECTROMAGNETICS IN ADVANCED APPLICATIONS, ICEAA, pp. 24–24.

By: M. Gilman n & S. Tsynkov n

Sources: Web Of Science, NC State University Libraries
Added: April 8, 2024

2023 article

A CELL-CENTERED MULTIGRID SOLVER FOR THE FINITE VOLUME DISCRETIZATION OF ANISOTROPIC ELLIPTIC INTERFACE PROBLEMS ON IRREGULAR DOMAINS*

Pan, K., Wu, X., Hu, H., & Li, Z. (2023, December 14). JOURNAL OF COMPUTATIONAL MATHEMATICS, Vol. 12.

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

author keywords: Elliptic interface problem; Discontinuous coefficients; Anisotropic coefficients; Cascadic multigrid method; Richardson extrapolation
Sources: Web Of Science, NC State University Libraries
Added: March 18, 2024

2023 journal article

Transionospheric Autofocus for Synthetic Aperture Radar

SIAM JOURNAL ON IMAGING SCIENCES, 16(4), 2144–2174.

By: M. Gilman n & S. Tsynkov n

author keywords: synthetic aperture radar; ionosphere; autofocus; optimization
UN Sustainable Development Goal Categories
7. Affordable and Clean Energy (OpenAlex)
Sources: Web Of Science, NC State University Libraries
Added: February 26, 2024

2023 article

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

Li, Z., Pan, K., & Ruiz-Alvarez, J. (2023, November 6). NUMERICAL ALGORITHMS, Vol. 11.

author keywords: Interface problems; Internal layer problems; Non-matching grid; Discrete maximum principle; Hanging nodes
Sources: Web Of Science, NC State University Libraries, ORCID
Added: November 27, 2023

2023 journal article

Stochastic Galerkin method for cloud simulation. Part II: A fully random Navier-Stokes-cloud model

Journal of Computational Physics, 479, 111987.

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

TL;DR: A fully random Navier-Stokes-cloud model in which randomness in the macroscopic fluid dynamics as well is included, and a generalized polynomial chaos stochastic Galerkin method is derived and implemented. (via Semantic Scholar)
Source: ORCID
Added: September 19, 2023

2023 journal article

Denoising convolution algorithms and applications to SAR signal processing

Communications on Analysis and Computation, 1(2), 135–156.

By: A. Chertock*, N. Mathematics, C. Leonard, S. Tsynkov, S. Utyuzhnikov & A. Mechanical

Source: ORCID
Added: September 19, 2023

2023 journal article

Accurate derivatives approximations and applications to some elliptic PDEs using HOC methods

APPLIED MATHEMATICS AND COMPUTATION, 459.

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

author keywords: High order compact derivative computation; HOC schemes; Poisson/Helmholtz equation; Diffusion-advection equation; Stokes equations; Three Poisson equations approach
Sources: ORCID, Web Of Science
Added: August 9, 2023

2023 journal article

Analysis of nonconforming IFE methods and a new scheme for elliptic interface problems

ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS, 57(4), 2041–2076.

By: H. Ji, F. Wang, J. Chen & Z. Li*

author keywords: Interface problem; Nonconforming; Immersed finite element; Unfitted mesh
TL;DR: This paper develops a new nonconforming IFE method with additional terms locally on interface edges which removes the limitation of the conventional partially penalized I FE method and derives the optimal approximation capabilities of both the Crouzeix-Raviart and the rotated-$Q_1 IFE spaces via a unified approach which can handle the case of variable coefficients easily. (via Semantic Scholar)
UN Sustainable Development Goal Categories
16. Peace, Justice and Strong Institutions (OpenAlex)
Sources: Web Of Science, ORCID
Added: July 24, 2023

2023 journal article

Adaptive High-Order A-WENO Schemes Based on a New Local Smoothness Indicator

EAST ASIAN JOURNAL ON APPLIED MATHEMATICS, 13(3), 576–609.

By: A. Chertock, S. Chu & A. Kurganov

author keywords: Local smoothness indicator; scheme adaption; strong stability preserving Runge-Kutta methods; hyperbolic systems of conservation laws; A-WENO schemes
Sources: Web Of Science, ORCID
Added: July 24, 2023

2023 article

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

Dong, B., Li, Z., & Ruiz-Alvarez, J. (2023, July 10). COMMUNICATIONS ON APPLIED MATHEMATICS AND COMPUTATION, Vol. 7.

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

author keywords: Anisotropic parabolic interface problem; Hybrid finite element and finite difference (FE-FD) discretization; Modified Crank-Nicolson scheme
Sources: ORCID, Web Of Science
Added: July 11, 2023

2023 journal article

Adapting Cubic Hermite Splines to the Presence of Singularities Through Correction Terms

JOURNAL OF SCIENTIFIC COMPUTING, 95(3).

author keywords: Splines; Adaption to singularities; Interpolation; Point-values; Computer aided design (modeling of curves)
Sources: Web Of Science, ORCID
Added: June 19, 2023

2023 journal article

New Sixth-Order Compact Schemes for Poisson/Helmholtz Equations

NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS, 16(2), 393–409.

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

author keywords: Poisson equation; Helmholtz equation; sixth-order compact scheme; maximum principle; staggered grid
Sources: Web Of Science, ORCID
Added: May 22, 2023

2023 article

Adaptive High-Order A-WENO Schemes Based on a New Local Smoothness Indicator

Chertock, A., Chu, S., & Kurganov, A. (2023, April 12). EAST ASIAN JOURNAL ON APPLIED MATHEMATICS, Vol. 4.

By: A. Chertock*, S. Chu & A. Kurganov

author keywords: Local smoothness indicator; scheme adaption; strong stability preserving Runge-Kutta methods; hyperbolic systems of conservation laws; A-WENO schemes
Sources: Web Of Science, NC State University Libraries, ORCID
Added: May 9, 2023

2023 journal article

HIGH ORDER COMPACT SCHEMES FOR FLUX TYPE BCS

SIAM JOURNAL ON SCIENTIFIC COMPUTING, 45(2), A646–A674.

By: Z. Li n & K. Pan*

author keywords: Poisson; Helmholtz; diffusion-advection; anisotropic equations; high order compact method; HOC method for flux BCs; discrete maximum principle
Sources: ORCID, Web Of Science
Added: April 19, 2023

2023 article

Adaptive basis sets for practical quantum computing

Kwon, H.-Y., Curtin, G. M. M., Morrow, Z., Kelley, C. T., & Jakubikova, E. (2023, April 5). INTERNATIONAL JOURNAL OF QUANTUM CHEMISTRY, Vol. 4.

author keywords: adaptive basis set; potential energy surface; quantum computing
TL;DR: This work shows that the use of adaptive basis sets, in which exponents and contraction coefficients depend on molecular structure, provide an easy way to dramatically improve the accuracy of quantum chemical calculations without the need to increase the basis set size and thus the number of qubits utilized in quantum circuits. (via Semantic Scholar)
UN Sustainable Development Goal Categories
7. Affordable and Clean Energy (OpenAlex)
Sources: ORCID, Web Of Science
Added: April 6, 2023

2023 journal article

Numerical integration rules with improved accuracy close to discontinuities

MATHEMATICS AND COMPUTERS IN SIMULATION, 210, 593–614.

author keywords: Accurate numerical integration formulas; Adaption to discontinuities; Definite integration; Adapted interpolation
UN Sustainable Development Goal Categories
13. Climate Action (Web of Science)
14. Life Below Water (Web of Science)
Sources: ORCID, Web Of Science
Added: March 30, 2023

2023 journal article

Vertical autofocus for the phase screen in a turbulent ionosphere

INVERSE PROBLEMS, 39(4).

By: M. Gilman n & S. Tsynkov n

author keywords: spaceborne synthetic aperture radar; coherent interferometric (CINT) imaging; phase screen elevation
Sources: Web Of Science, NC State University Libraries
Added: March 27, 2023

2023 article

A diffuse-domain-based numerical method for a chemotaxis-fluid model

Wang, C., Chertock, A., Cui, S., Kurganov, A., & Zhang, Z. (2023, February 23). MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, Vol. 2.

author keywords: Chemotaxis; Navier-Stokes equations; bioconvection; diffuse-domain approach; finite-volume method; finite-difference method
UN Sustainable Development Goal Categories
6. Clean Water and Sanitation (OpenAlex)
Sources: Web Of Science, NC State University Libraries
Added: March 13, 2023

2023 article

A Quasi-Monte Carlo Method With Krylov Linear Solvers for Multigroup Neutron Transport Simulations

Pasmann, S., Variansyah, I., Kelley, C. T., & McClarren, R. (2023, January 13). NUCLEAR SCIENCE AND ENGINEERING, Vol. 1.

author keywords: Neutron transport; Monte Carlo methods; Quasi-Monte Carlo; Krylov linear Solvers
Sources: Web Of Science, ORCID
Added: February 6, 2023

2023 journal article

An efficient extrapolation multigrid method based on a HOC scheme on nonuniform rectilinear grids for solving 3D anisotropic convection-diffusion problems

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 403.

By: S. Hu*, K. Pan, X. Wu, Y. Ge & Z. Li*

author keywords: Convection-diffusion equation; Completed Richardson extrapolation; Quintic Lagrange interpolation; High-order compact scheme; Cascadic multigrid
Sources: Web Of Science, ORCID
Added: January 30, 2023

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