Alexander Kurganov
Orcid: 0000-0003-0231-986X
According to our database1,
Alexander Kurganov
authored at least 62 papers
between 2000 and 2024.
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Bibliography
2024
Bound-Preserving Framework for Central-Upwind Schemes for General Hyperbolic Conservation Laws.
CoRR, 2024
Spline-Based Stochastic Collocation Methods for Uncertainty Quantification in Nonlinear Hyperbolic PDEs.
CoRR, 2024
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
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
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
Experimental Convergence Rate Study for Three Shock-Capturing Schemes and Development of Highly Accurate Combined Schemes.
CoRR, 2023
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
J. Comput. Phys., 2022
A New Locally Divergence-Free Path-Conservative Central-Upwind Scheme for Ideal and Shallow Water Magnetohydrodynamics.
CoRR, 2022
CoRR, 2022
2021
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
Comput. Math. Appl., 2019
2018
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
2017
Second-Order Fully Discrete Central-Upwind Scheme for Two-Dimensional Hyperbolic Systems of Conservation Laws.
SIAM J. Sci. Comput., 2017
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
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
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
J. Sci. Comput., 2013
2012
New adaptive artificial viscosity method for hyperbolic systems of conservation laws.
J. Comput. Phys., 2012
2010
J. Sci. Comput., 2010
2009
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
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
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