2024 journal article
A NEW LOCALLY DIVERGENCE-FREE PATH-CONSERVATIVE CENTRAL-UPWIND SCHEME FOR IDEAL AND SHALLOW WATER MAGNETOHYDRODYNAMICS
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 46(3), A1998–A2024.
2024 journal article
Accurate deterministic projection methods for stiff detonation waves
Communications in Mathematical Sciences.
2024 journal article
Locally divergence-free well-balanced path-conservative central-upwind schemes for rotating shallow water MHD
JOURNAL OF COMPUTATIONAL PHYSICS, 518.
2024 article
New High-Order Numerical Methods for Hyperbolic Systems of Nonlinear PDEs with Uncertainties
Chertock, A., Herty, M., Iskhakov, A. S., Janajra, S., Kurganov, A., & Lukacova-Medvid'ova, M. (2024, June 4). COMMUNICATIONS ON APPLIED MATHEMATICS AND COMPUTATION, Vol. 6.
2024 article
Simulating Partial Differential Equations with Neural Networks
HYPERBOLIC PROBLEMS: THEORY, NUMERICS, APPLICATIONS, VOL II, HYP2022, Vol. 35, pp. 39–49.
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.
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.
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.
2023 journal article
Denoising convolution algorithms and applications to SAR signal processing
Communications on Analysis and Computation, 1(2), 135–156.
2023 journal article
Stochastic Galerkin method for cloud simulation. Part II: A fully random Navier-Stokes-cloud model
Journal of Computational Physics, 479, 111987.
2022 journal article
Local characteristic decomposition based central-upwind scheme
JOURNAL OF COMPUTATIONAL PHYSICS, 473.
2022 journal article
On a hybrid continuum-kinetic model for complex fluids
Partial Differential Equations and Applications, 3(5).
2022 journal article
Well-balanced numerical method for atmospheric flow equations with gravity
APPLIED MATHEMATICS AND COMPUTATION, 439.
2021 journal article
Hybrid Multifluid Algorithms Based on the Path-Conservative Central-Upwind Scheme
JOURNAL OF SCIENTIFIC COMPUTING, 89(2).
2021 journal article
Well-Balancing via Flux Globalization: Applications to Shallow Water Equations with Wet/Dry Fronts
JOURNAL OF SCIENTIFIC COMPUTING, 90(1).
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.
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.
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.
2019 journal article
Adaptive moving mesh upwind scheme for the two-species chemotaxis model
Computers & Mathematics with Applications, 77(12), 3172–3185.
2019 journal article
An asymptotic preserving scheme for the two-dimensional shallow water equations with Coriolis forces
JOURNAL OF COMPUTATIONAL PHYSICS, 391, 259–279.
2019 journal article
Finite-Volume-Particle Methods for the Two-Component Camassa-Holm System
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 27(2), 480–502.
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.
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.
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.
2019 journal article
One-Dimensional/Two-Dimensional Coupling Approach with Quadrilateral Confluence Region for Modeling River Systems
Journal of Scientific Computing.
2019 journal article
Preface to the Special Issue in Memory of Professor Saul Abarbanel
Journal of Scientific Computing.
2019 journal article
Stochastic Galerkin method for cloud simulation
Mathematics of Climate and Weather Forecasting, 5(1), 65–106.
2018 journal article
A second-order finite-difference method for compressible fluids in domains with moving boundaries
Commun. Comput. Phys., 23(1), 230–263.
2018 journal article
AN ASYMPTOTIC PRESERVING SCHEME FOR KINETIC MODELS WITH SINGULAR LIMIT
KINETIC AND RELATED MODELS, 11(4), 735–756.
2018 journal article
An asymptotic preserving scheme for kinetic chemotaxis models in two space dimensions
Kinetic & Related Models, 12(1), 195–216.
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).
2018 journal article
Well-balanced schemes for the Euler equations with gravitation: Conservative formulation using global fluxes
JOURNAL OF COMPUTATIONAL PHYSICS, 358, 36–52.
2017 chapter
A Practical Guide to Deterministic Particle Methods
In Handbook of Numerical Analysis (Vol. 18, pp. 177–202).
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).
2017 journal article
An asymptotic-preserving method for a relaxation of the Navier-Stokes-Korteweg equations
JOURNAL OF COMPUTATIONAL PHYSICS, 335, 387–403.
2017 journal article
High-order positivity-preserving hybrid finite-volume-finite-difference methods for chemotaxis systems
ADVANCES IN COMPUTATIONAL MATHEMATICS, 44(1), 327–350.
2017 journal article
Hybrid Finite-Volume-Particle Method for Dusty Gas Flows
SMAI Journal of Computational Mathematics, 3, 139–180.
2017 journal article
Well-balanced schemes for the shallow water equations with Coriolis forces
NUMERISCHE MATHEMATIK, 138(4), 939–973.
2016 journal article
Central-upwind scheme for shallow water equations with discontinuous bottom topography
BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY, 47(1), 91–103.
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.
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.
2014 journal article
A Finite-Volume Method for Nonlinear Nonlocal Equations with a Gradient Flow Structure
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 17(1), 233–258.
2014 journal article
An Eulerian-Lagrangian method for optimization problems governed by multidimensional nonlinear hyperbolic PDEs
COMPUTATIONAL OPTIMIZATION AND APPLICATIONS, 59(3), 689–724.
2014 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.
2014 journal article
Solving Two-Mode Shallow Water Equations Using Finite Volume Methods
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 16(5), 1323–1354.
2013 journal article
Central-upwind schemes for the system of shallow water equations with horizontal temperature gradients
NUMERISCHE MATHEMATIK, 127(4), 595–639.
2013 journal article
PEDESTRIAN FLOW MODELS WITH SLOWDOWN INTERACTIONS
Mathematical Models and Methods in Applied Sciences, 24(02), 249–275.
2013 journal article
Three-Layer Approximation of Two-Layer Shallow Water Equations
MATHEMATICAL MODELLING AND ANALYSIS, 18(5), 675–693.
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.
Contributors: , J. Liu & T. Pendleton* n
2012 chapter
Convergence Analysis of the Particle Method for the Camassa-Holm Equation
In Series in Contemporary Applied Mathematics (Vol. 18, pp. 365–373).
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.
2012 journal article
ON A CHEMOTAXIS MODEL WITH SATURATED CHEMOTACTIC FLUX
KINETIC AND RELATED MODELS, 5(1), 51–95.
Contributors: , A. Kurganov n, X. Wang n & Y. Wu n n
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.
Contributors: , K. Fellner *, A. Kurganov *, A. Lorz* & P. Markowich * n
2011 chapter
Central-upwind schemes for Boussinesq paradigm equations
In Computational science and high performance computing IV (Vol. 115, pp. 267–281).
2010 journal article
A Fast Explicit Operator Splitting Method for Passive Scalar Advection
JOURNAL OF SCIENTIFIC COMPUTING, 45(1-3), 200–214.
Contributors: , C. Doering *, E. Kashdan * & A. Kurganov * n
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.
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.
Ed(s): G. Puppo & G. Russo
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
2009 conference paper
Computing multivalued solutions of pressureless gas dynamics by deterministic particle methods
Communications in Computational Physics, 5(2-4), 565–581.
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.
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.
2008 journal article
A second-order positivity preserving central-upwind scheme for chemotaxis and haptotaxis models
NUMERISCHE MATHEMATIK, 111(2), 169–205.
Contributors: & A. Kurganov * n
2008 journal article
INTERFACE TRACKING METHOD FOR COMPRESSIBLE MULTIFLUIDS
ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE, 42(6), 991–1019.
Contributors: , S. Karni * & A. Kurganov * n
2008 journal article
Modified Optimal Prediction and its Application to a Particle-Method Problem
JOURNAL OF SCIENTIFIC COMPUTING, 37(2), 189–201.
Contributors: , D. Gottlieb * & A. Solomonoff* n
2008 chapter
Propagation of Diffusing Pollutant by a Hybrid Eulerian–Lagrangian Method
In Hyperbolic Problems: Theory, Numerics, Applications (pp. 371–379).
Contributors: S. BenzoniGavage, , E. Kashdan *, A. Kurganov * & D. Serre n
2007 journal article
A new sticky particle method for pressureless gas dynamics
SIAM JOURNAL ON NUMERICAL ANALYSIS, 45(6), 2408–2441.
2006 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.
Contributors: , A. Kurganov * & G. Petrova * n
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.
Contributors: , A. Kurganov * & G. Petrova * n
2006 article
On a practical implementation of particle methods
APPLIED NUMERICAL MATHEMATICS, Vol. 56, pp. 1418–1431.
Contributors: & A. Kurganov * n
2005 chapter
Conservative locally moving mesh method for multifluid flows
In Finite Volumes for Complex Applications IV (pp. 273–284). ISTE, London.
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.
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.
Contributors: & A. Kurganov * n
2004 journal article
On degenerate saturated-diffusion equations with convection
NONLINEARITY, 18(2), 609–630.
Contributors: , A. Kurganov * & P. Rosenau * n
2004 journal article
On wavelet-based numerical homogenization
MULTISCALE MODELING & SIMULATION, 3(1), 65–88.
2003 journal article
Formation of discontinuities in flux-saturated degenerate parabolic equations
NONLINEARITY, 16(6), 1875–1898.
Contributors: , A. Kurganov * & P. Rosenau * n
2002 journal article
A Particle Method for the KdV Equation
Journal of Scientific Computing, 17(1-4), 491–499.
Contributors: & D. Levy * *
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.
2002 journal article
Particle methods for the KdV equation
Journal of Scientific Computing, 17, 491–499.
2001 journal article
Particle Methods for Dispersive Equations
Journal of Computational Physics, 171(2), 708–730.
Contributors: & D. Levy * *
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.
Contributors: G. Barenblatt, M. Bertsch *, * & V. Prostokishin *
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.
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.
1991 journal article
An algorithm for the numerical solution of equations describing processes in photoreceivers
Mat. Model., 3(10), 95–103.
1991 journal article
On a numerical algorithm for nonlinear differential equations describing some processes in photoreceivers
Journal of Mathematical Modeling, 3, 95–103.
Updated: November 2nd, 2021 17:58
2021 - present
2015 - present
2015 - present
2013 - present
2007 - 2013
2002 - 2007
2001 - 2002
1999 - 2002
1996 - 1999
1991 - 1996
Updated: November 2nd, 2021 15:49
1999 - 2001
1991 - 1999
1984 - 1989
Funding history based on the linked ORCID record. Updated: August 9th, 2023 22:00
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