Center for Research in Scientific Computation
NC State
Works Published in 2023
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.
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.
author keywords: Interface problem; Nonconforming; Immersed finite element; Unfitted mesh
doi.org (publisher)
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.
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.
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.
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.
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.
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.
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.
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.
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).
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.
author keywords: Obstacle-like minimization problem; Free boundary; SOR(omega) iteration
Sources: ORCID, Web Of Science
Added: August 30, 2022
