Works (79)

Updated: March 2nd, 2024 09:01

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.

By: C. Wang*, A. Chertock n, S. Cui*, A. Kurganov* & Z. Zhang*

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

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

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 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

Local characteristic decomposition based central-upwind scheme

JOURNAL OF COMPUTATIONAL PHYSICS, 473.

By: A. Chertock n, S. Chu, M. Herty, A. Kurganov & M. Lukacova-Medvid'ova

co-author countries: United States of America 🇺🇸
author keywords: Local characteristic decomposition; Central-upwind schemes; Hyperbolic systems of conservative laws; Euler equations of gas dynamics
Sources: Web Of Science, ORCID
Added: November 21, 2022

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

Well-balanced numerical method for atmospheric flow equations with gravity

APPLIED MATHEMATICS AND COMPUTATION, 439.

By: A. Chertock n, A. Kurganov*, T. Wu* & J. Yan n

co-author countries: China 🇨🇳 United States of America 🇺🇸
author keywords: Atmospheric flow equations with gravity; Well-balanced central -upwind scheme; Equilibrium variables; Quadrilateral mesh; Irregular domains
Sources: Web Of Science, ORCID
Added: December 5, 2022

2022 journal article

On a hybrid continuum-kinetic model for complex fluids

Partial Differential Equations and Applications, 3(5).

co-author countries: Germany 🇩🇪 France 🇫🇷 Italy 🇮🇹 United States of America 🇺🇸
Source: ORCID
Added: September 19, 2023

2022 journal article

Well-Balancing via Flux Globalization: Applications to Shallow Water Equations with Wet/Dry Fronts

JOURNAL OF SCIENTIFIC COMPUTING, 90(1).

By: A. Chertock n, A. Kurganov*, X. Liu*, Y. Liu* & T. Wu*

co-author countries: Canada 🇨🇦 China 🇨🇳 United States of America 🇺🇸
author keywords: Flux globalization; Central-upwind schemes; Well-balanced schemes; "Lake-at-rest" steady states; "Dry lake" steady states
Sources: Web Of Science, ORCID
Added: November 29, 2021

2021 journal article

Hybrid Multifluid Algorithms Based on the Path-Conservative Central-Upwind Scheme

JOURNAL OF SCIENTIFIC COMPUTING, 89(2).

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

co-author countries: China 🇨🇳 United States of America 🇺🇸
author keywords: Path-conservative scheme; Central-upwind scheme; Compressible multifluids; Pressure evolution model
Sources: Web Of Science, ORCID
Added: October 26, 2021

2020 chapter

Central-upwind scheme for a non-hydrostatic Saint-Venant system

In Hyperbolic problems: theory, numerics, applications (Vol. 10, pp. 25–41). Am. Inst. Math. Sci. (AIMS), Springfield, MO.

By: A. Chertock, A. Kurganov, J. Miller & J. Yan

Source: ORCID
Added: September 19, 2023

2020 journal article

Finite-Volume-Particle Methods for the Two-Component Camassa-Holm System

COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 27(2), 480–502.

By: A. Chertock*, A. Kurganov & Y. Liu

author keywords: Two-component Camassa-Holm system; finite-volume method; deterministic particle method; finite-volume-particle method; central-upwind scheme
Sources: Web Of Science, ORCID
Added: December 30, 2019

2020 journal article

Operator splitting based central-upwind schemes for shallow water equations with moving bottom topography

Communications in Mathematical Sciences, 18(8), 2149–2168.

By: A. Chertock n, A. Kurganov* & T. Wu*

co-author countries: China 🇨🇳 United States of America 🇺🇸
Source: ORCID
Added: April 28, 2021

2019 journal article

A New Approach for Designing Moving-Water Equilibria Preserving Schemes for the Shallow Water Equations

JOURNAL OF SCIENTIFIC COMPUTING, 80(1), 538–554.

By: Y. Cheng*, A. Chertock n, M. Herty*, A. Kurganov* & T. Wu*

co-author countries: China 🇨🇳 Germany 🇩🇪 United States of America 🇺🇸
author keywords: Shallow water equations; Central-upwind scheme; Well-balanced method; Steady-state solutions (equilibria); Moving-water and still-water equilibria
Sources: Web Of Science, ORCID
Added: June 17, 2019

2019 journal article

Adaptive moving mesh upwind scheme for the two-species chemotaxis model

Computers & Mathematics with Applications, 77(12), 3172–3185.

By: A. Chertock n, A. Kurganov*, M. Ricchiuto* & T. Wu*

co-author countries: China 🇨🇳 France 🇫🇷 United States of America 🇺🇸
author keywords: Two-species chemotaxis system; Adaptive moving mesh (AMM) method; Finite-volume upwind method; Singular (spiky) solutions
Sources: Web Of Science, Crossref, ORCID
Added: July 1, 2019

2019 journal article

An asymptotic preserving scheme for kinetic chemotaxis models in two space dimensions

Kinetic & Related Models, 12(1), 195–216.

By: A. Chertock*, A. Kurganov, M. Lukáčová-Medvid’ová & Ș. Nur Özcan

author keywords: Chemotaxis; kinetic equations; multiscale models; asymptotic preserving (AP) methods; operator splitting
Sources: ORCID, Crossref
Added: September 8, 2019

2019 journal article

An asymptotic preserving scheme for the two-dimensional shallow water equations with Coriolis forces

JOURNAL OF COMPUTATIONAL PHYSICS, 391, 259–279.

By: X. Liu*, A. Chertock n & A. Kurganov*

co-author countries: China 🇨🇳 United States of America 🇺🇸
author keywords: Saint-Venant system of shallow water equations; Coriolis forces; Asymptotic preserving scheme; Central-upwind scheme; Flux splitting; Implicit-explicit approach
Sources: Web Of Science, ORCID
Added: June 17, 2019

2019 article

High-Resolution Positivity and Asymptotic Preserving Numerical Methods for Chemotaxis and Related Models

ACTIVE PARTICLES, VOL 2: ADVANCES IN THEORY, MODELS, AND APPLICATIONS, pp. 109–148.

By: A. Chertock n & A. Kurganov*

co-author countries: China 🇨🇳 United States of America 🇺🇸
Sources: Web Of Science, ORCID
Added: March 30, 2020

2019 journal article

Incompressible limit of a continuum model of tissue growth with segregation for two cell populations

MATHEMATICAL BIOSCIENCES AND ENGINEERING, 16(5), 5804–5835.

By: A. Chertock n, P. Degond*, S. Hecht* & J. Vincent*

co-author countries: United Kingdom of Great Britain and Northern Ireland 🇬🇧 United States of America 🇺🇸
author keywords: tissue growth; two cell populations; incompressible limit; free boundary problem
MeSH headings : Biological Phenomena; Cell Proliferation; Computer Simulation; Developmental Biology; Elasticity; Epidermis / physiopathology; Epithelium / physiology; Humans; Models, Biological; Models, Theoretical; Neoplasms / physiopathology; Porosity; Stress, Mechanical
Sources: Web Of Science, ORCID
Added: July 8, 2019

2019 journal article

Incompressible limit of a continuum model of tissue growth with segregation for two cell populations

Math. Biosci. Eng., 16(5), 5804–5835.

By: A. Chertock n, P. Degond, S. Hecht & J. Vincent

co-author countries: China 🇨🇳 Germany 🇩🇪 United States of America 🇺🇸
Source: ORCID
Added: September 8, 2019

2019 journal article

One-Dimensional/Two-Dimensional Coupling Approach with Quadrilateral Confluence Region for Modeling River Systems

Journal of Scientific Computing.

Alina Chertock

author keywords: Shallow water flow in river systems; One-dimensional; two-dimensional coupling; Quadrilateral confluence region; Well-balanced central-upwind scheme
Source: ORCID
Added: September 10, 2019

2019 journal article

Preface to the Special Issue in Memory of Professor Saul Abarbanel

Journal of Scientific Computing.

Alina Chertock; Semyon Tsynkov

Source: ORCID
Added: December 4, 2019

2019 journal article

Stochastic Galerkin method for cloud simulation

Mathematics of Climate and Weather Forecasting, 5(1), 65–106.

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

co-author countries: China 🇨🇳 Czechia 🇨🇿 Germany 🇩🇪 United States of America 🇺🇸
Sources: Crossref, ORCID
Added: December 11, 2019

2018 journal article

A second-order finite-difference method for compressible fluids in domains with moving boundaries

Commun. Comput. Phys., 23(1), 230–263.

By: A. Chertock, A. Coco, A. Kurganov & G. Russo

Sources: NC State University Libraries, ORCID
Added: August 6, 2018

2018 journal article

AN ASYMPTOTIC PRESERVING SCHEME FOR KINETIC MODELS WITH SINGULAR LIMIT

KINETIC AND RELATED MODELS, 11(4), 735–756.

By: A. Chertock*, C. Tan & B. Yan

author keywords: Kinetic models; singular limit; asymptotic-preserving schemes; velocity scaling; aggregation equation; flocking phenomena
Sources: Web Of Science, ORCID
Added: August 6, 2018

2018 journal article

High-order positivity-preserving hybrid finite-volume-finite-difference methods for chemotaxis systems

ADVANCES IN COMPUTATIONAL MATHEMATICS, 44(1), 327–350.

By: A. Chertock n, Y. Epshteyn*, H. Hu & A. Kurganov*

co-author countries: China 🇨🇳 United States of America 🇺🇸
author keywords: Patlak-Keller-Segel chemotaxis system; Advection-diffusion-reaction systems; High-order finite-difference; Finite-volume methods; Positivity-preserving algorithms
Sources: Web Of Science, ORCID
Added: August 6, 2018

2018 chapter

Well-Balanced Central-Upwind Schemes for 2x2 Systems of Balance Laws

In Theory, Numerics and Applications of Hyperbolic Problems I (Vol. 236, pp. 345–361).

By: A. Chertock n, M. Herty* & Ş. Özcan n

co-author countries: Germany 🇩🇪 United States of America 🇺🇸
Sources: Crossref, ORCID
Added: August 30, 2019

2018 journal article

Well-balanced schemes for the Euler equations with gravitation: Conservative formulation using global fluxes

JOURNAL OF COMPUTATIONAL PHYSICS, 358, 36–52.

By: A. Chertock n, S. Cui*, A. Kurganov*, S. Ozcan n & E. Tadmor*

co-author countries: China 🇨🇳 United States of America 🇺🇸
author keywords: Euler equations of gas dynamics with gravitation; Well-balanced scheme; Equilibrium variables; Central-upwind scheme; Piecewise linear reconstruction
Sources: Web Of Science, ORCID
Added: August 6, 2018

2018 journal article

Well-balanced schemes for the shallow water equations with Coriolis forces

NUMERISCHE MATHEMATIK, 138(4), 939–973.

By: A. Chertock n, M. Dudzinski*, A. Kurganov* & M. Lukacova-Medvid'ova*

co-author countries: China 🇨🇳 Germany 🇩🇪 United States of America 🇺🇸
Sources: Web Of Science, ORCID
Added: August 6, 2018

2017 chapter

A Practical Guide to Deterministic Particle Methods

In Handbook of Numerical Analysis (Vol. 18, pp. 177–202).

By: A. Chertock n

co-author countries: United States of America 🇺🇸
author keywords: Deterministic particle methods; Particle function approximations; Remising techniques; Linear transport equations; Convection-diffusion equation; Dispersion equations
Sources: Crossref, ORCID
Added: August 6, 2018

2017 chapter

A Simple Finite-Volume Method on a Cartesian Mesh for Pedestrian Flows with Obstacles

In Springer Proceedings in Mathematics & Statistics (Vol. 199, pp. 43–55).

By: Y. Cheng*, A. Chertock n & A. Kurganov*

co-author countries: China 🇨🇳 United States of America 🇺🇸
author keywords: Pedestrian flow model; Hyperbolic conservation laws; Finite-volume method; Interface tracking method; Eikonal equation; Fast sweeping method
Sources: Crossref, ORCID
Added: August 6, 2018

2017 journal article

An asymptotic-preserving method for a relaxation of the Navier-Stokes-Korteweg equations

JOURNAL OF COMPUTATIONAL PHYSICS, 335, 387–403.

By: A. Chertock n, P. Degond* & J. Neusser*

co-author countries: Germany 🇩🇪 United Kingdom of Great Britain and Northern Ireland 🇬🇧 United States of America 🇺🇸
author keywords: Asymptotic-preserving scheme; Diffuse-interface model; Compressible flow with phase transition
Sources: Web Of Science, ORCID
Added: August 6, 2018

2017 journal article

Hybrid Finite-Volume-Particle Method for Dusty Gas Flows

SMAI Journal of Computational Mathematics, 3, 139–180.

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

Sources: Crossref, ORCID
Added: July 20, 2019

2016 journal article

Central-upwind scheme for shallow water equations with discontinuous bottom topography

BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY, 47(1), 91–103.

By: A. Bernstein n, A. Chertock n & A. Kurganov*

co-author countries: United States of America 🇺🇸
author keywords: hyperbolic system of conservation and balance laws; semi-discrete central-upwind scheme; Saint Venant system of shallow water equations
Sources: Web Of Science, ORCID
Added: August 6, 2018

2015 journal article

A Finite-Volume Method for Nonlinear Nonlocal Equations with a Gradient Flow Structure

COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 17(1), 233–258.

By: J. Carrillo*, A. Chertock n & Y. Huang*

co-author countries: United Kingdom of Great Britain and Northern Ireland 🇬🇧 United States of America 🇺🇸
author keywords: Finite-volume method; gradient flow; nonlinear nonlocal equations
Sources: Web Of Science, ORCID
Added: August 6, 2018

2015 article

Elastic collisions among peakon solutions for the Camassa-Holm equation

Chertock, A., Liu, J.-G., & Pendleton, T. (2015, July). APPLIED NUMERICAL MATHEMATICS, Vol. 93, pp. 30–46.

By: A. Chertock n, J. Liu* & T. Pendleton*

co-author countries: United States of America 🇺🇸
author keywords: Camassa-Holm equation; Particle method; Peakon solutions; Elastic collisions; Conservation laws; Completely integrable systems
Sources: Web Of Science, ORCID
Added: August 6, 2018

2015 journal article

Steady State and Sign Preserving Semi-Implicit Runge--Kutta Methods for ODEs with Stiff Damping Term

SIAM Journal on Numerical Analysis, 53(4), 2008–2029.

By: A. Chertock*, S. Cui, A. Kurganov & T. Wu

author keywords: ordinary differential equations with stiff damping terms; semi-implicit methods; strong stability preserving Runge-Kutta methods; implicit-explicit methods; shallow water equations with friction terms
Sources: Web Of Science, ORCID, Crossref
Added: August 6, 2018

2015 journal article

Well-balanced positivity preserving central-upwind scheme for the shallow water system with friction terms

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, 78(6), 355–383.

By: A. Chertock n, S. Cui*, A. Kurganov* & T. Wu*

co-author countries: United States of America 🇺🇸
author keywords: shallow water equations with friction terms; central-upwind scheme; well-balanced scheme
Sources: Web Of Science, ORCID
Added: August 6, 2018

2014 journal article

An Eulerian-Lagrangian method for optimization problems governed by multidimensional nonlinear hyperbolic PDEs

COMPUTATIONAL OPTIMIZATION AND APPLICATIONS, 59(3), 689–724.

By: A. Chertock n, M. Herty* & A. Kurganov*

co-author countries: Germany 🇩🇪 United States of America 🇺🇸
author keywords: Optimal control; Multidimensional hyperbolic partial differential equations; Numerical methods
Sources: Web Of Science, ORCID
Added: August 6, 2018

2014 journal article

Central-upwind schemes for the system of shallow water equations with horizontal temperature gradients

NUMERISCHE MATHEMATIK, 127(4), 595–639.

By: A. Chertock n, A. Kurganov* & Y. Liu*

co-author countries: United States of America 🇺🇸
Sources: Web Of Science, ORCID
Added: August 6, 2018

2014 journal article

Solving Two-Mode Shallow Water Equations Using Finite Volume Methods

COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 16(5), 1323–1354.

By: M. Castro Diaz, Y. Cheng*, A. Chertock n & A. Kurganov*

co-author countries: Spain 🇪🇸 United States of America 🇺🇸
author keywords: Two-mode shallow water equations; nonconservative products; conditional hyperbolicity; finite volume methods; central-upwind schemes; splitting methods; upwind schemes
Sources: Web Of Science, ORCID
Added: August 6, 2018

2013 journal article

PEDESTRIAN FLOW MODELS WITH SLOWDOWN INTERACTIONS

Mathematical Models and Methods in Applied Sciences, 24(02), 249–275.

By: A. Chertock n, A. Kurganov*, A. Polizzi* & I. Timofeyev*

co-author countries: United States of America 🇺🇸
author keywords: Pedestrian traffic flow; stochastic cellular automata model; mesoscopic and macroscopic models; exclusion process; nonlinear diffusion
Sources: Web Of Science, ORCID, Crossref
Added: August 6, 2018

2013 journal article

Three-Layer Approximation of Two-Layer Shallow Water Equations

MATHEMATICAL MODELLING AND ANALYSIS, 18(5), 675–693.

By: A. Chertock n, A. Kurganov*, Z. Qu* & T. Wu*

co-author countries: United States of America 🇺🇸
author keywords: two-layer shallow water equations; central-upwind scheme; well-balanced scheme; conditional hyperbolicity
Sources: Web Of Science, ORCID
Added: August 6, 2018

2012 journal article

CONVERGENCE OF A PARTICLE METHOD AND GLOBAL WEAK SOLUTIONS OF A FAMILY OF EVOLUTIONARY PDES

SIAM JOURNAL ON NUMERICAL ANALYSIS, 50(1), 1–21.

By: A. Chertock n, J. Liu & T. Pendleton*

co-author countries: United States of America 🇺🇸

Contributors: A. Chertock n, J. Liu & T. Pendleton*

author keywords: Camassa-Holm equation; Degasperis-Procesi equation; Euler-Poincare equation; global weak solution; particle method; space-time BV estimates; peakon solutions; conservation laws; completely integrable systems
Sources: Web Of Science, ORCID
Added: August 6, 2018

2012 chapter

Convergence Analysis of the Particle Method for the Camassa-Holm Equation

In Series in Contemporary Applied Mathematics (Vol. 18, pp. 365–373).

By: A. Chertock n, J. Liu* & T. Pendleton n

co-author countries: United States of America 🇺🇸
Sources: Crossref, ORCID
Added: July 20, 2019

2012 journal article

INTEGRATION OF THE EPDIFF EQUATION BY PARTICLE METHODS

ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE, 46(3), 515–534.

By: A. Chertock n, P. Du Toit* & J. Marsden*

co-author countries: United States of America 🇺🇸

Contributors: A. Chertock n, P. Du Toit* & J. Marsden*

author keywords: Solitons; peakons; integrable Hamiltonian systems; particle methods; weak solutions; variational principle; momentum maps; shallow water and internal waves
Sources: Web Of Science, ORCID
Added: August 6, 2018

2012 journal article

ON A CHEMOTAXIS MODEL WITH SATURATED CHEMOTACTIC FLUX

KINETIC AND RELATED MODELS, 5(1), 51–95.

By: A. Chertock*, A. Kurganov, X. Wang & Y. Wu

Contributors: A. Chertock*, A. Kurganov, X. Wang & Y. Wu

author keywords: Chemotaxis; saturation of flux; spiky steady states; local and global existence; bifurcation; hybrid finite-volume-finite-difference method; second-order positivity preserving upwind scheme
Sources: Web Of Science, ORCID
Added: August 6, 2018

2012 journal article

Sinking, merging and stationary plumes in a coupled chemotaxis-fluid model: a high-resolution numerical approach

Journal of Fluid Mechanics, 694, 155–190.

By: A. Chertock n, K. Fellner*, A. Kurganov*, A. Lorz* & P. Markowich*

co-author countries: Austria 🇦🇹 United Kingdom of Great Britain and Northern Ireland 🇬🇧 Saudi Arabia 🇸🇦 United States of America 🇺🇸

Contributors: A. Chertock n, K. Fellner*, A. Kurganov*, A. Lorz* & P. Markowich*

author keywords: bioconvection; computational methods; micro-organism dynamics
Sources: Crossref, ORCID
Added: July 20, 2019

2011 chapter

Central-upwind schemes for Boussinesq paradigm equations

In Computational science and high performance computing IV (Vol. 115, pp. 267–281).

By: A. Chertock n, C. Christov* & A. Kurganov*

co-author countries: United States of America 🇺🇸
Sources: NC State University Libraries, ORCID
Added: August 6, 2018

2010 journal article

A Fast Explicit Operator Splitting Method for Passive Scalar Advection

JOURNAL OF SCIENTIFIC COMPUTING, 45(1-3), 200–214.

By: A. Chertock n, C. Doering*, E. Kashdan* & A. Kurganov*

co-author countries: Israel 🇮🇱 United States of America 🇺🇸

Contributors: A. Chertock n, C. Doering*, E. Kashdan* & A. Kurganov*

Sources: Web Of Science, ORCID
Added: August 6, 2018

2010 chapter

On splitting-based numerical methods for convection-diffusion equations

In Numerical Methods for Balance Laws, Quaderni di Matematica, Aracne editrice S.r.l (Vol. 24, p. 303). Roma.

By: A. Chertock & A. Kurganov

Source: NC State University Libraries
Added: July 28, 2019

2010 chapter

On splitting-based numerical methods for convection-diffusionequations

In G. Puppo & G. Russo (Eds.), Numerical Methods for Balance Laws (p. 303). Caserta: Dipartimento di matematica della Seconda Universitá di Napoli.

By: A. Chertock & A. Kurganov

Ed(s): G. Puppo & G. Russo

Source: NC State University Libraries
Added: December 22, 2020

2009 journal article

Computing multivalued solutions of pressureless gas dynamics by deterministic particle methods

Commun. Comput. Phys., 5(2-4), 565–581. http://global-sci.org/intro/article_detail/cicp/7750.html

By: A. Chertock & A. Kurganov

Source: ORCID
Added: September 8, 2019

2009 conference paper

Computing multivalued solutions of pressureless gas dynamics by deterministic particle methods

Communications in Computational Physics, 5(2-4), 565–581.

By: A. Chertock & A. Kurganov

Source: NC State University Libraries
Added: August 6, 2018

2009 article

Fast explicit operator splitting method for convection-diffusion equations

Chertock, A., Kurganov, A., & Petrova, G. (2009, January 30). INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, Vol. 59, pp. 309–332.

By: A. Chertock n, A. Kurganov* & G. Petrova*

co-author countries: United States of America 🇺🇸

Contributors: A. Chertock n, A. Kurganov* & G. Petrova*

author keywords: convection-diffusion equations; operator splitting; polymer systems; finite-volume methods; heat kernel
Sources: Web Of Science, ORCID
Added: August 6, 2018

2009 chapter

On splitting-based numerical methods for convection-diffusion equations

In Numerical methods for balance laws (Vol. 24, pp. 303–343). Dept. Math., Seconda Univ. Napoli, Caserta.

By: A. Chertock & A. Kurganov

Source: ORCID
Added: September 8, 2019

2008 journal article

A SIMPLE EULERIAN FINITE-VOLUME METHOD FOR COMPRESSIBLE FLUIDS IN DOMAINS WITH MOVING BOUNDARIES

COMMUNICATIONS IN MATHEMATICAL SCIENCES, 6(3), 531–556.

By: A. Chertock* & A. Kurganov

author keywords: Compressible Enter equations; ghost-cell extrapolation; moving boundaries; semi-discrete finite-volume schemes
Sources: Web Of Science, ORCID
Added: August 6, 2018

2008 journal article

A second-order positivity preserving central-upwind scheme for chemotaxis and haptotaxis models

NUMERISCHE MATHEMATIK, 111(2), 169–205.

By: A. Chertock n & A. Kurganov*

co-author countries: United States of America 🇺🇸

Contributors: A. Chertock n & A. Kurganov*

Sources: Web Of Science, ORCID
Added: August 6, 2018

2008 journal article

INTERFACE TRACKING METHOD FOR COMPRESSIBLE MULTIFLUIDS

ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE, 42(6), 991–1019.

By: A. Chertock n, S. Karni* & A. Kurganov*

co-author countries: United States of America 🇺🇸

Contributors: A. Chertock n, S. Karni* & A. Kurganov*

author keywords: Compressible Euler equations; multicomponent fluids; material interfaces; finite-volume schemes
Sources: Web Of Science, ORCID
Added: August 6, 2018

2008 journal article

Modified Optimal Prediction and its Application to a Particle-Method Problem

JOURNAL OF SCIENTIFIC COMPUTING, 37(2), 189–201.

By: A. Chertock n, D. Gottlieb* & A. Solomonoff*

co-author countries: United States of America 🇺🇸

Contributors: A. Chertock n, D. Gottlieb* & A. Solomonoff*

author keywords: Optimal prediction; Particle methods; Multiscale computations
Sources: Web Of Science, ORCID
Added: August 6, 2018

2008 chapter

Propagation of Diffusing Pollutant by a Hybrid Eulerian–Lagrangian Method

In Hyperbolic Problems: Theory, Numerics, Applications (pp. 371–379).

By: A. Chertock n, E. Kashdan*, A. Kurganov*, S. BenzoniGavage & D. Serre

co-author countries: United States of America 🇺🇸

Contributors: S. BenzoniGavage, A. Chertock n, E. Kashdan*, A. Kurganov* & D. Serre

Sources: Crossref, ORCID
Added: July 20, 2019

2007 journal article

A new sticky particle method for pressureless gas dynamics

SIAM JOURNAL ON NUMERICAL ANALYSIS, 45(6), 2408–2441.

By: A. Chertock*, A. Kurganov & Y. Rykov

Contributors: A. Chertock*, A. Kurganov & Y. Rykov

author keywords: nonstrictly hyperbolic systems of conservation laws; pressureless gas dynamics; mass concentration; strong singularities; delta-shock; sticky particle method
Sources: Web Of Science, ORCID
Added: August 6, 2018

2006 article

Finite-volume-particle methods for models of transport of pollutant in shallow water

Chertock, A., Kurganov, A., & Petrova, G. (2006, June). JOURNAL OF SCIENTIFIC COMPUTING, Vol. 27, pp. 189–199.

By: A. Chertock n, A. Kurganov* & G. Petrova*

co-author countries: United States of America 🇺🇸

Contributors: A. Chertock n, A. Kurganov* & G. Petrova*

author keywords: Saint-Venant system of shallow water equations; transport of pollutant; finite-volume schemes; particle methods; central-upwind schemes; balance laws
Sources: Web Of Science, ORCID
Added: August 6, 2018

2006 article

On a practical implementation of particle methods

APPLIED NUMERICAL MATHEMATICS, Vol. 56, pp. 1418–1431.

By: A. Chertock n & A. Kurganov*

co-author countries: United States of America 🇺🇸

Contributors: A. Chertock n & A. Kurganov*

author keywords: linear transport equations with discontinuous coefficients; deterministic particle method; method of characteristics; finite-volume methods; reactive Euler equations of gas dynamics
Sources: Web Of Science, ORCID
Added: August 6, 2018

2005 chapter

Conservative locally moving mesh method for multifluid flows

In Finite Volumes for Complex Applications IV (pp. 273–284). ISTE, London.

By: A. Chertock & A. Kurganov

Sources: NC State University Libraries, ORCID
Added: July 28, 2019

2005 chapter

Fast explicit operator splitting method. Application to the polymer system

In Finite Volumes for Complex Applications IV: Vol. IV (pp. 63–72). ISTE, London.

By: A. Chertock, A. Kurganov & G. Petrova

Sources: NC State University Libraries, ORCID
Added: July 28, 2019

2005 journal article

On degenerate saturated-diffusion equations with convection

NONLINEARITY, 18(2), 609–630.

By: A. Chertock n, A. Kurganov* & P. Rosenau*

co-author countries: Israel 🇮🇱 United States of America 🇺🇸

Contributors: A. Chertock n, A. Kurganov* & P. Rosenau*

Sources: Web Of Science, ORCID
Added: August 6, 2018

2005 journal article

On wavelet-based numerical homogenization

MULTISCALE MODELING & SIMULATION, 3(1), 65–88.

By: A. Chertock n & D. Levy

co-author countries: United States of America 🇺🇸

Contributors: A. Chertock n & D. Levy

author keywords: numerical homogenization; wavelets; Helmholtz equation
Sources: Web Of Science, ORCID
Added: August 6, 2018

2004 journal article

On a hybrid finite-volume-particle method

ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE, 38(6), 1071–1091.

By: A. Chertock* & A. Kurganov

Contributors: A. Chertock* & A. Kurganov

author keywords: shallow water equations; transport of passive pollutant; finite-volume schemes; particle method
Sources: Web Of Science, ORCID
Added: August 6, 2018

2003 journal article

Formation of discontinuities in flux-saturated degenerate parabolic equations

NONLINEARITY, 16(6), 1875–1898.

By: A. Chertock n, A. Kurganov* & P. Rosenau*

co-author countries: Israel 🇮🇱 United States of America 🇺🇸

Contributors: A. Chertock n, A. Kurganov* & P. Rosenau*

Sources: Web Of Science, ORCID
Added: August 6, 2018

2002 journal article

A Particle Method for the KdV Equation

Journal of Scientific Computing, 17(1-4), 491–499.

By: A. Chertock* & D. Levy*

co-author countries: United States of America 🇺🇸

Contributors: A. Chertock* & D. Levy*

author keywords: Particle methods; dispersion-velocity method; KdV equation
Source: ORCID
Added: August 27, 2019

2002 journal article

On the stability of a class of self-similar solutions to the filtration-absorption equation

European Journal of Applied Mathematics, 13(2), 179–194.

By: A. Chertock*

co-author countries: United States of America 🇺🇸

Contributors: A. Chertock*

Sources: Crossref, ORCID
Added: July 20, 2019

2002 journal article

Particle methods for the KdV equation

Journal of Scientific Computing, 17, 491–499.

By: A. Chertock & D. Levy

Source: NC State University Libraries
Added: July 10, 2019

2001 journal article

Particle Methods for Dispersive Equations

Journal of Computational Physics, 171(2), 708–730.

By: A. Chertock* & D. Levy

Contributors: A. Chertock* & D. Levy

author keywords: particle methods; dispersive equations; diffusion-velocity; dispersion-velocity; compacton equations
Sources: Crossref, ORCID
Added: July 20, 2019

2000 journal article

Self-similar intermediate asymptotics for a degenerate parabolic filtration-absorption equation

Proceedings of the National Academy of Sciences, 97(18), 9844–9848.

By: G. Barenblatt, M. Bertsch*, A. Chertock* & V. Prostokishin*

co-author countries: Italy 🇮🇹 Russian Federation 🇷🇺 United States of America 🇺🇸

Contributors: G. Barenblatt, M. Bertsch*, A. Chertock* & V. Prostokishin*

MeSH headings : Geological Phenomena; Geology; Models, Biological; Models, Statistical; Models, Theoretical; Water
Sources: Crossref, ORCID
Added: July 27, 2019

2000 journal article

Strict Stability of High-Order Compact Implicit Finite-Difference Schemes: The Role of Boundary Conditions for Hyperbolic PDEs, I

Journal of Computational Physics, 160(1), 42–66.

By: S. Abarbanel* & A. Chertock*

co-author countries: Israel 🇮🇱 United States of America 🇺🇸

Contributors: S. Abarbanel* & A. Chertock*

author keywords: hyperbolic PDEs; boundary conditions; stability; accuracy; error bounds
Sources: Crossref, ORCID
Added: July 20, 2019

2000 journal article

Strict Stability of High-Order Compact Implicit Finite-Difference Schemes: The Role of Boundary Conditions for Hyperbolic PDEs, II

Journal of Computational Physics, 160(1), 67–87.

By: S. Abarbanel*, A. Chertock* & A. Yefet*

co-author countries: Israel 🇮🇱 United States of America 🇺🇸

Contributors: S. Abarbanel*, A. Chertock* & A. Yefet*

author keywords: hyperbolic PDEs; boundary conditions; stability; accuracy; error bounds
Sources: Crossref, ORCID
Added: July 20, 2019

1991 journal article

An algorithm for the numerical solution of equations describing processes in photoreceivers

Mat. Model., 3(10), 95–103.

By: Y. Karamzin, V. Trofimov & A. Chertok

Source: ORCID
Added: September 8, 2019

1991 journal article

On a numerical algorithm for nonlinear differential equations describing some processes in photoreceivers

Journal of Mathematical Modeling, 3, 95–103.

By: A. Chertock, Y. Karamzin & V. Trofimov

Source: NC State University Libraries
Added: July 28, 2019

Employment

Updated: November 2nd, 2021 17:58

2021 - present

North Carolina State University Raleigh, NC, US
LeRoy B. Martin, Jr. Distinguished Professor Department of Mathematics

2015 - present

North Carolina State University Raleigh, NC, US
Associate Director Center for Research in Scientific Computation

2015 - present

North Carolina State University Raleigh, NC, US
Head Department of Mathematics

2013 - present

North Carolina State University Raleigh, NC, US
Professor Department of Mathematics

2007 - 2013

North Carolina State University Raleigh, NC, US
Associate Professor Department of Mathematics

2002 - 2007

North Carolina State University Raleigh, NC, US
Assistant Professor Department of Mathematics

2001 - 2002

University of California Berkeley, CA, US
Visiting Assistant Professor Department of Mathematics

1999 - 2002

University of California and Lawrenece Berkeley National Laboratory Berkeley, CA, US
Postdoctoral Fellow Department of Mathematics

1996 - 1999

Tel Aviv University and Academic College of Tel-Aviv-Yaffo Tel Aviv, IL
Instructor School of Mathematical Sciences

1991 - 1996

Tel Aviv University Tel Aviv, IL
Teaching Assistant School of Mathematical Sciences

Education

Updated: November 2nd, 2021 15:49

1999 - 2001

University of California Berkeley Berkeley, CA, US
Postdoctoral Fellow Mathematics

1991 - 1999

Tel Aviv University Tel Aviv, IL
Ph.D. School of Mathematical Sciences

1984 - 1989

Lomonosov Moscow State University Moscow, RU
M.Sc. (Diploma of Higher Education) Faculty of Computational Mathematics and Cybernetics

Funding History

Funding history based on the linked ORCID record. Updated: August 9th, 2023 22:00

grant September 1, 2022 - September 1, 2025
Development and Application of Modern Numerical Methods for Nonlinear Hyperbolic Systems of Partial Differential Equations
National Science Foundation
grant September 1, 2018 - August 31, 2022
Collaborative Research: Structure Preserving Numerical Methods for Hyperbolic Balance Laws with Applications to Shallow Water and Atmospheric Models
Directorate for Mathematical & Physical Sciences
grant September 1, 2015 - August 31, 2019
Collaborative Research: Numerical Methods for Partial Differential Equations Arising in Shallow Water Modeling
Directorate for Mathematical & Physical Sciences
grant September 1, 2012 - August 31, 2016
Collaborative Research: Numerical Methods for Shallow Water Equations and Related Models
Directorate for Mathematical & Physical Sciences
grant January 1, 2012 - January 1, 2015
Numerical Methods for Shallow Water Equations and Related Models
Office of Naval Research
grant October 1, 2011 - September 30, 2015
Collaborative Research: Development of High-Resolution Finite-Volume Methods for Systems of Nonlinear Time-Dependent PDEs
Directorate for Mathematical & Physical Sciences
grant September 1, 2007 - August 31, 2011
Innovative Numerical Methods for Nonlinear Time-Dependent PDEs
Directorate for Mathematical & Physical Sciences
grant September 1, 2004 - February 29, 2008
Particle Methods for Nonlinear Time-Dependent PDEs
Directorate for Mathematical & Physical Sciences

Citation Index includes data from a number of different sources. If you have questions about the sources of data in the Citation Index or need a set of data which is free to re-distribute, please contact us.

Certain data included herein are derived from the Web of Science© and InCites© (2024) of Clarivate Analytics. All rights reserved. You may not copy or re-distribute this material in whole or in part without the prior written consent of Clarivate Analytics.