Center for Research in Scientific Computation

Works Published in 2023

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Displaying works 1 - 20 of 25 in total

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

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.

co-author countries: China 🇨🇳 Spain 🇪🇸 United States of America 🇺🇸
author keywords: Interface problems; Internal layer problems; Non-matching grid; Discrete maximum principle; Hanging nodes
Sources: Web Of Science, 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*

co-author countries: Switzerland 🇨🇭 China 🇨🇳 Germany 🇩🇪 United States of America 🇺🇸
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*

co-author countries: China 🇨🇳 United States of America 🇺🇸
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
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*

co-author countries: China 🇨🇳 Spain 🇪🇸 United States of America 🇺🇸
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).

co-author countries: Spain 🇪🇸 United States of America 🇺🇸
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, 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*

co-author countries: China 🇨🇳 United States of America 🇺🇸
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.

co-author countries: United States of America 🇺🇸
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.

co-author countries: Spain 🇪🇸 United States of America 🇺🇸
author keywords: Accurate numerical integration formulas; Adaption to discontinuities; Definite integration; Adapted interpolation
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

co-author countries: United States of America 🇺🇸
author keywords: spaceborne synthetic aperture radar; coherent interferometric (CINT) imaging; phase screen elevation
Sources: Web Of Science, ORCID
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.

co-author countries: China 🇨🇳 United States of America 🇺🇸
author keywords: Chemotaxis; Navier-Stokes equations; bioconvection; diffuse-domain approach; finite-volume method; finite-difference method
Sources: Web Of Science, ORCID
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.

co-author countries: United States of America 🇺🇸
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*

co-author countries: China 🇨🇳
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*

co-author countries: China 🇨🇳 Spain 🇪🇸 United States of America 🇺🇸
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

co-author countries: United States of America 🇺🇸
author keywords: Book reviews; Distributed parameter systems; Control design; State estimation; Stability analysis
Sources: ORCID, Web Of Science
Added: January 13, 2023

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