Center for Research in Scientific Computation

NC State

Works Published in 2023

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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.

2023 journal article

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

Applied Mathematics and Computation.

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

Source: ORCID
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
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
Source: Web Of Science
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 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
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
Sources: ORCID, Web Of Science
Added: March 30, 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

2023 journal article

Higher Order Finite Element Methods for Some One-dimensional Boundary Value Problems

Research Reports on Computer Science.

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

Source: ORCID
Added: January 17, 2023

2023 journal article

Higher Order Finite Element Methods for Some One-dimensional Boundary Value Problems

Research Reports on Computer Science, 2(1), 15–27.

By: B. Dong, Z. Li & J. Ruiz-Álvarez

Source: ORCID
Added: January 16, 2023

2023 article

Controller Design for Distributed Parameter Systems

Smith, R. C. C. (2023, February). IEEE CONTROL SYSTEMS MAGAZINE, Vol. 43, pp. 98–100.

By: R. Smith n

author keywords: Book reviews; Distributed parameter systems; Control design; State estimation; Stability analysis
Sources: ORCID, Web Of Science
Added: January 13, 2023

2023 journal article

A Comparison of Mathematical and Statistical Modeling with Longitudinal Data: An Application to Ecological Momentary Assessment of Behavior Change in Individuals with Alcohol Use Disorder

BULLETIN OF MATHEMATICAL BIOLOGY, 85(1).

By: S. Shao*, J. Canner*, R. Everett*, K. Bekele-Maxwell*, A. Kuerbis*, L. Stephenson n, J. Menda n, J. Morgenstern*, H. Banks n

author keywords: Ecological momentary assessment data; Generalized estimating equations; Generalized linear mixed models; Markov models; Generalized linear mixed-effects Markov models; Differential equations
MeSH headings : Humans; Ecological Momentary Assessment; Alcoholism; Mathematical Concepts; Models, Biological; Alcohol Drinking / psychology
Source: Web Of Science
Added: January 3, 2023

2023 journal article

Numerical analysis of a free boundary problem with non-local obstacles

APPLIED MATHEMATICS LETTERS, 135.

By: Z. Li n & H. Mikayelyan*

author keywords: Obstacle-like minimization problem; Free boundary; SOR(omega) iteration
Sources: ORCID, Web Of Science
Added: August 30, 2022