Alexander Kurganov

Orcid: 0000-0003-0231-986X

According to our database1, Alexander Kurganov authored at least 67 papers between 2000 and 2024.

Collaborative distances:
  • Dijkstra number2 of four.
  • Erdős number3 of four.

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Bibliography

2024
Bound-Preserving Framework for Central-Upwind Schemes for General Hyperbolic Conservation Laws.
SIAM J. Sci. Comput., 2024

A New Locally Divergence-Free Path-Conservative Central-Upwind Scheme for Ideal and Shallow Water Magnetohydrodynamics.
SIAM J. Sci. Comput., 2024

Low-dissipation central-upwind schemes for compressible multifluids.
J. Comput. Phys., 2024

Locally divergence-free well-balanced path-conservative central-upwind schemes for rotating shallow water MHD.
J. Comput. Phys., 2024

Flux globalization-based well-balanced path-conservative central-upwind scheme for two-dimensional two-layer thermal rotating shallow water equations.
J. Comput. Phys., 2024

New Low-Dissipation Central-Upwind Schemes. Part II.
CoRR, 2024

On the Gelfand Problem and Viscosity Matrices for Two-Dimensional Hyperbolic Systems of Conservation Laws.
CoRR, 2024

Novel Local Characteristic Decomposition Based Path-Conservative Central-Upwind Schemes.
CoRR, 2024

A Hybrid Finite-Difference-Particle Method for Chemotaxis Models.
CoRR, 2024

Spline-Based Stochastic Collocation Methods for Uncertainty Quantification in Nonlinear Hyperbolic PDEs.
CoRR, 2024

2023
New Low-Dissipation Central-Upwind Schemes.
J. Sci. Comput., August, 2023

Flux Globalization Based Well-Balanced Central-Upwind Schemes for Hydrodynamic Equations with General Free Energy.
J. Sci. Comput., June, 2023

Stochastic Galerkin method for cloud simulation. Part II: A fully random Navier-Stokes-cloud model.
J. Comput. Phys., April, 2023

Well-balanced path-conservative central-upwind schemes based on flux globalization.
J. Comput. Phys., February, 2023

Flux globalization based well-balanced path-conservative central-upwind scheme for two-layer thermal rotating shallow water equations.
J. Comput. Phys., February, 2023

Local characteristic decomposition based central-upwind scheme.
J. Comput. Phys., 2023

New High-Order Numerical Methods for Hyperbolic Systems of Nonlinear PDEs with Uncertainties.
CoRR, 2023

Divergence-Free Flux Globalization Based Well-Balanced Path-Conservative Central-Upwind Schemes for Rotating Shallow Water Magnetohydrodynamics.
CoRR, 2023

New Adaptive Low-Dissipation Central-Upwind Schemes.
CoRR, 2023

Experimental Convergence Rate Study for Three Shock-Capturing Schemes and Development of Highly Accurate Combined Schemes.
CoRR, 2023

Well-balanced numerical method for atmospheric flow equations with gravity.
Appl. Math. Comput., 2023

2022
A Well-Balanced Asymptotic Preserving Scheme for the Two-Dimensional Rotating Shallow Water Equations with Nonflat Bottom Topography.
SIAM J. Sci. Comput., February, 2022

Well-Balancing via Flux Globalization: Applications to Shallow Water Equations with Wet/Dry Fronts.
J. Sci. Comput., 2022

Flux Globalization Based Well-Balanced Path-Conservative Central-Upwind Schemes for Shallow Water Models.
J. Sci. Comput., 2022

Fifth-order A-WENO schemes based on the path-conservative central-upwind method.
J. Comput. Phys., 2022

Adaptive High-Order A-WENO Schemes Based on a New Local Smoothness Indicator.
CoRR, 2022

A Diffuse-Domain Based Numerical Method for a Chemotaxis-Fluid Model.
CoRR, 2022

2021
Hybrid Multifluid Algorithms Based on the Path-Conservative Central-Upwind Scheme.
J. Sci. Comput., 2021

Semi-discrete central-upwind Rankine-Hugoniot schemes for hyperbolic systems of conservation laws.
J. Comput. Phys., 2021

2020
Fifth-Order A-WENO Finite-Difference Schemes Based on a New Adaptive Diffusion Central Numerical Flux.
SIAM J. Sci. Comput., 2020

Moving-Water Equilibria Preserving Partial Relaxation Scheme for the Saint-Venant System.
SIAM J. Sci. Comput., 2020

A well-balanced central-upwind scheme for the thermal rotating shallow water equations.
J. Comput. Phys., 2020

2019
One-Dimensional/Two-Dimensional Coupling Approach with Quadrilateral Confluence Region for Modeling River Systems.
J. Sci. Comput., 2019

A New Approach for Designing Moving-Water Equilibria Preserving Schemes for the Shallow Water Equations.
J. Sci. Comput., 2019

An asymptotic preserving scheme for the two-dimensional shallow water equations with Coriolis forces.
J. Comput. Phys., 2019

An adaptive well-balanced positivity preserving scheme on quadtree grids for shallow water equations.
CoRR, 2019

Adaptive moving mesh upwind scheme for the two-species chemotaxis model.
Comput. Math. Appl., 2019

2018
Well-balanced schemes for the shallow water equations with Coriolis forces.
Numerische Mathematik, 2018

Well-balanced positivity preserving central-upwind scheme with a novel wet/dry reconstruction on triangular grids for the Saint-Venant system.
J. Comput. Phys., 2018

Well-balanced schemes for the Euler equations with gravitation: Conservative formulation using global fluxes.
J. Comput. Phys., 2018

High-order positivity-preserving hybrid finite-volume-finite-difference methods for chemotaxis systems.
Adv. Comput. Math., 2018

Finite-volume schemes for shallow-water equations.
Acta Numer., 2018

2017
Second-Order Fully Discrete Central-Upwind Scheme for Two-Dimensional Hyperbolic Systems of Conservation Laws.
SIAM J. Sci. Comput., 2017

Three-dimensional shallow water system: A relaxation approach.
J. Comput. Phys., 2017

2015
Steady State and Sign Preserving Semi-Implicit Runge-Kutta Methods for ODEs with Stiff Damping Term.
SIAM J. Numer. Anal., 2015

Well-Balanced Central Schemes on Overlapping Cells with Constant Subtraction Techniques for the Saint-Venant Shallow Water System.
J. Sci. Comput., 2015

A Fast Explicit Operator Splitting Method for Modified Buckley-Leverett Equations.
J. Sci. Comput., 2015

Well-balanced central-upwind scheme for a fully coupled shallow water system modeling flows over erodible bed.
J. Comput. Phys., 2015

Fast and stable explicit operator splitting methods for phase-field models.
J. Comput. Phys., 2015

2014
Central-upwind schemes for the system of shallow water equations with horizontal temperature gradients.
Numerische Mathematik, 2014

An Eulerian-Lagrangian method for optimization problems governed by multidimensional nonlinear hyperbolic PDEs.
Comput. Optim. Appl., 2014

Central-Upwind Scheme for Savage-Hutter Type Model of Submarine Landslides and Generated Tsunami Waves.
Comput. Methods Appl. Math., 2014

2013
A Well-Balanced Reconstruction of Wet/Dry Fronts for the Shallow Water Equations.
J. Sci. Comput., 2013

2012
New adaptive artificial viscosity method for hyperbolic systems of conservation laws.
J. Comput. Phys., 2012

2010
A Fast Explicit Operator Splitting Method for Passive Scalar Advection.
J. Sci. Comput., 2010

2009
Central-Upwind Schemes for Two-Layer Shallow Water Equations.
SIAM J. Sci. Comput., 2009

Non-oscillatory central schemes for traffic flow models with Arrhenius look-ahead dynamics.
Networks Heterog. Media, 2009

2008
New Interior Penalty Discontinuous Galerkin Methods for the Keller-Segel Chemotaxis Model.
SIAM J. Numer. Anal., 2008

A second-order positivity preserving central-upwind scheme for chemotaxis and haptotaxis models.
Numerische Mathematik, 2008

2007
Adaptive Semidiscrete Central-Upwind Schemes for Nonconvex Hyperbolic Conservation Laws.
SIAM J. Sci. Comput., 2007

A New Sticky Particle Method for Pressureless Gas Dynamics.
SIAM J. Numer. Anal., 2007

2006
Adaptive Central-Upwind Schemes for Hamilton-Jacobi Equations with Nonconvex Hamiltonians.
J. Sci. Comput., 2006

Finite-Volume-Particle Methods for Models of Transport of Pollutant in Shallow Water.
J. Sci. Comput., 2006

2005
Local error analysis for approximate solutions of hyperbolic conservation laws.
Adv. Comput. Math., 2005

2001
Semidiscrete Central-Upwind Schemes for Hyperbolic Conservation Laws and Hamilton-Jacobi Equations.
SIAM J. Sci. Comput., 2001

A third-order semi-discrete genuinely multidimensional central scheme for hyperbolic conservation laws and related problems.
Numerische Mathematik, 2001

2000
A Third-Order Semidiscrete Central Scheme for Conservation Laws and Convection-Diffusion Equations.
SIAM J. Sci. Comput., 2000


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