Alina Chertock

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All published works

Action	Title	Year	Authors
+ PDF Chat	CWENO Interpolation for Non-Oscillatory Stochastic Collocation in Uncertainty Quantification Problems	2024	Alina Chertock Arsen S. Iskhakov Anna Iskhakova A. A. Kurganov
+ PDF Chat	A New Locally Divergence-Free Path-Conservative Central-Upwind Scheme for Ideal and Shallow Water Magnetohydrodynamics	2024	Alina Chertock Alexander Kurganov Michael Redle Kailiang Wu
+ PDF Chat	A Hybrid Finite-Difference-Particle Method for Chemotaxis Models	2024	Alina Chertock Shumo Cui Alexander Kurganov Chenxi Wang
+ PDF Chat	Spline-Based Stochastic Collocation Methods for Uncertainty Quantification in Nonlinear Hyperbolic PDEs	2024	Alina Chertock Arsen S. Iskhakov Safa Janajra A. A. Kurganov
+	Simulating Partial Differential Equations with Neural Networks	2024	Alina Chertock Christopher S. Leonard
+	Stochastic Galerkin method for cloud simulation. Part II: A fully random Navier-Stokes-cloud model	2023	Alina Chertock Alexander Kurganov Mária Lukáčová-Medviďová Peter Spichtinger B. Wiebe
+ PDF Chat	A diffuse-domain-based numerical method for a chemotaxis-fluid model	2023	Chenxi Wang Alina Chertock Shumo Cui Alexander Kurganov Zhen Zhang
+	Denoising Convolution Algorithms and Applications to SAR Signal Processing	2023	Alina Chertock Chris Leonard Semyon Tsynkov Sergey Utyuzhnikov
+	Adaptive High-Order A-WENO Schemes Based on a New Local Smoothness Indicator	2023	Alina Chertock Shaoshuai Chu Alexander Kurganov Alexander Kurganov
+ PDF Chat	Denoising convolution algorithms and applications to SAR signal processing	2023	Alina Chertock Chris Leonard Semyon Tsynkov Sergey Utyuzhnikov
+	Divergence-Free Flux Globalization Based Well-Balanced Path-Conservative Central-Upwind Schemes for Rotating Shallow Water Magnetohydrodynamics	2023	Alina Chertock A. A. Kurganov Michael Redle Vladimir Zeitlin
+ PDF Chat	Divergence-Free Flux Globalization Based Well-Balanced Path-Conservative Central-Upwind Schemes for Rotating Shallow Water Magnetohydrodynamics	2023	Alina Chertock A. A. Kurganov Michael Redle Vladimir Zeitlin
+	New High-Order Numerical Methods for Hyperbolic Systems of Nonlinear PDEs with Uncertainties	2023	Alina Chertock Michaël Herty Arsen S. Iskhakov Safa Janajra Alexander Kurganov Mária Lukáčová-Medviďová
+ PDF Chat	Local characteristic decomposition based central-upwind scheme	2022	Alina Chertock Shaoshuai Chu Michaël Herty Alexander Kurganov Maria Lukáčová-Medviďová
+ PDF Chat	On a hybrid continuum-kinetic model for complex fluids	2022	Alina Chertock Pierre Degond Giacomo Dimarco Maria Lukáčová-Medviďová Ankit Ruhi
+ PDF Chat	Local Characteristic Decomposition Based Central-Upwind Scheme	2022	Alina Chertock Shaoshuai Chu Michaël Herty A. A. Kurganov Mária Lukáčová-Medviďová
+	Finding the Shape of Lacunae of the Wave Equation Using Artificial Neural Networks	2022	Alina Chertock Christopher S. Leonard Semyon Tsynkov
+ PDF Chat	Local Characteristic Decomposition Based Central-Upwind Scheme	2022	Alina Chertock Shaoshuai Chu Michaël Herty Alexander Kurganov Maria Lukáčová-Medviďová
+	A Diffuse-Domain Based Numerical Method for a Chemotaxis-Fluid Model	2022	Chenxi Wang Alina Chertock Shumo Cui A. A. Kurganov Zhen Zhang
+	Adaptive High-Order A-WENO Schemes Based on a New Local Smoothness Indicator	2022	Alina Chertock Shaoshuai Chu A. A. Kurganov
+	A New Locally Divergence-Free Path-Conservative Central-Upwind Scheme for Ideal and Shallow Water Magnetohydrodynamics	2022	Alina Chertock A. A. Kurganov Michael Redle Kailiang Wu
+	Well-Balancing via Flux Globalization: Applications to Shallow Water Equations with Wet/Dry Fronts	2021	Alina Chertock Alexander Kurganov Xin Liu Yongle Liu Tong Wu
+	Hybrid Multifluid Algorithms Based on the Path-Conservative Central-Upwind Scheme	2021	Alina Chertock Shaoshuai Chu Alexander Kurganov
+	Finite-Volume-Particle Methods for the Two-Component Camassa-Holm System	2019	Alina Chertock Yongle Liu
+ PDF Chat	Stochastic Galerkin method for cloud simulation	2019	Alina Chertock Alexander Kurganov Mária Lukáčová-Medviďová Peter Spichtinger B. Wiebe
+	Adaptive moving mesh upwind scheme for the two-species chemotaxis model	2019	Alina Chertock Alexander Kurganov Mario Ricchiuto Tong Wu
+	Incompressible limit of a continuum model of tissue growth with segregation for two cell populations	2019	Alina Chertock Pierre Degond Sophie Hecht Jean‐Paul Vincent
+	High-Resolution Positivity and Asymptotic Preserving Numerical Methods for Chemotaxis and Related Models	2019	Alina Chertock Alexander Kurganov
+	Plenary Talk II: Alina Chertock: Convergence of a Particle Method and Global Weak Solutions for a Family of Evolutionary PDEs	2019	Alina Chertock Lorena Bociu
+	Stochastic Galerkin method for cloud simulation	2018	Alina Chertock Alexander Kurganov Mária Lukáčová-Medviďová Peter Spichtinger B. Wiebe
+ PDF Chat	An asymptotic preserving scheme for kinetic chemotaxis models in two space dimensions	2018	Alina Chertock Alexander Kurganov Mária Lukáčová-Medvi rmcheckd ová Şeyma Nur Özcan
+	Incompressible limit of a continuum model of tissue growth with segregation for two cell populations	2018	Alina Chertock Pierre Degond Sophie Hecht Jean‐Paul Vincent
+ PDF Chat	Well-balanced schemes for the Euler equations with gravitation: Conservative formulation using global fluxes	2018	Alina Chertock Shumo Cui Alexander Kurganov Şeyma Nur Özcan Eitan Tadmor
+	Well-Balanced Central-Upwind Schemes for $$2\,\times \,2$$ Systems of Balance Laws	2018	Alina Chertock Michaël Herty Şeyma Nur Özcan
+ PDF Chat	A Second-Order Finite-Difference Method for Compressible Fluids in Domains with Moving Boundaries	2018	Alina Chertock Armando Coco Alexander Kurganov Giovanni Russo
+ PDF Chat	An asymptotic preserving scheme for kinetic models with singular limit	2018	Alina Chertock Changhui Tan Bokai Yan
+	Incompressible limit of a continuum model of tissue growth with segregation for two cell populations	2018	Alina Chertock Pierre Degond Sophie Hecht Jean‐Paul Vincent
+ PDF Chat	Hybrid Finite-Volume-Particle Method for Dusty Gas Flows	2017	Alina Chertock Shumo Cui Alexander Kurganov
+	High-order positivity-preserving hybrid finite-volume-finite-difference methods for chemotaxis systems	2017	Alina Chertock Yekaterina Epshteyn Hengrui Hu Alexander Kurganov
+	An asymptotic-preserving method for a relaxation of the Navier–Stokes–Korteweg equations	2017	Alina Chertock Pierre Degond Jochen Neusser
+	An asymptotic preserving scheme for kinetic models with singular limit	2017	Alina Chertock Changhui Tan Bokai Yan
+	An Asymptotic-Preserving Method for a Relaxation of the Navier-Stokes-Korteweg Equations	2015	Alina Chertock Pierre Degond Jochen Neusser
+	Well‐balanced positivity preserving central‐upwind scheme for the shallow water system with friction terms	2015	Alina Chertock Shumo Cui Alexander Kurganov Tong Wu
+	Steady State and Sign Preserving Semi-Implicit Runge--Kutta Methods for ODEs with Stiff Damping Term	2015	Alina Chertock Shumo Cui Alexander Kurganov Tong Wu
+	An Asymptotic-Preserving Method for a Relaxation of the Navier-Stokes-Korteweg Equations	2015	Alina Chertock Pierre Degond Jochen Neusser
+ PDF Chat	A Finite-Volume Method for Nonlinear Nonlocal Equations with a Gradient Flow Structure	2014	José A. Carrillo Alina Chertock Yanghong Huang
+	An Eulerian–Lagrangian method for optimization problems governed by multidimensional nonlinear hyperbolic PDEs	2014	Alina Chertock Michaël Herty Alexander Kurganov
+ PDF Chat	Elastic collisions among peakon solutions for the Camassa–Holm equation	2014	Alina Chertock Jian‐Guo Liu Terrance Pendleton
+	THREE-LAYER APPROXIMATION OF TWO-LAYER SHALLOW WATER EQUATIONS	2013	Alina Chertock Alexander Kurganov Alexander Kurganov Zhuolin Qu Tong Wu
+	Central-upwind schemes for the system of shallow water equations with horizontal temperature gradients	2013	Alina Chertock Alexander Kurganov Yu Liu
+ PDF Chat	PEDESTRIAN FLOW MODELS WITH SLOWDOWN INTERACTIONS	2013	Alina Chertock Alexander Kurganov Anthony Polizzi Ilya Timofeyev
+ PDF Chat	Convergence Analysis of the Particle Method for the Camassa-Holm Equation	2012	Alina Chertock Jian‐Guo Liu Terrance Pendleton
+	Pedestrian Flow Models with Slowdown Interactions	2012	Alina Chertock Alexander Kurganov Anthony Polizzi Ilya Timofeyev
+	Sinking, merging and stationary plumes in a coupled chemotaxis-fluid model: a high-resolution numerical approach	2012	Alina Chertock Klemens Fellner Alexander Kurganov Alexander Lorz Peter A. Markowich
+	Convergence of a Particle Method and Global Weak Solutions of a Family of Evolutionary PDEs	2012	Alina Chertock Jian‐Guo Liu Terrance Pendleton
+ PDF Chat	On a chemotaxis model with saturated chemotactic flux	2012	Alina Chertock Alexander Kurganov Xuefeng Wang Yaping Wu
+	Pedestrian Flow Models with Slowdown Interactions	2012	Alina Chertock A. A. Kurganov Anthony Polizzi Ilya Timofeyev
+	A Fast Explicit Operator Splitting Method for Passive Scalar Advection	2010	Alina Chertock Charles R. Doering Eugene Kashdan Alexander Kurganov
+	A second-order positivity preserving central-upwind scheme for chemotaxis and haptotaxis models	2008	Alina Chertock Alexander Kurganov
+ PDF Chat	Interface tracking method for compressible multifluids	2008	Alina Chertock Smadar Karni Alexander Kurganov
+	Propagation of Diffusing Pollutant by a Hybrid Eulerian–Lagrangian Method	2008	Alina Chertock Eugene Kashdan Alexander Kurganov
+ PDF Chat	A simple Eulerian finite-volume method for compressible fluids in domains with moving boundaries	2008	Alina Chertock Alexander Kurganov
+	Fast explicit operator splitting method for convection–diffusion equations	2006	Alina Chertock Alexander Kurganov Guergana Petrova
+	On a practical implementation of particle methods	2006	Alina Chertock Alexander Kurganov
+	Formation of discontinuities in flux-saturated degenerate parabolic equations	2003	Alina Chertock Alexander Kurganov Philip Rosenau
+	On the stability of a class of self-similar solutions to the filtration-absorption equation	2002	Alina Chertock
+ PDF Chat	Self-similar intermediate asymptotics for a degenerate parabolic filtration-absorption equation	2000	Г. И. Баренблатт Michiel Bertsch Alina Chertock V. M. Prostokishin
+	Strict Stability of High-Order Compact Implicit Finite-Difference Schemes: The Role of Boundary Conditions for Hyperbolic PDEs, II	2000	Saul Abarbanel Alina Chertock A. Yefet
+	Strict Stability of High-Order Compact Implicit Finite-Difference Schemes: The Role of Boundary Conditions for Hyperbolic PDEs, I	2000	Saul Abarbanel Alina Chertock

Common Coauthors

Coauthor	Papers Together
Alexander Kurganov	35
A. A. Kurganov	9
Mária Lukáčová-Medviďová	8
Shumo Cui	7
Pierre Degond	7
Michaël Herty	6
Shaoshuai Chu	6
Tong Wu	5
Michael Redle	4
Semyon Tsynkov	3
Şeyma Nur Özcan	3
Jochen Neusser	3
Ilya Timofeyev	3
B. Wiebe	3
Terrance Pendleton	3
Jean‐Paul Vincent	3
Anthony Polizzi	3
Sophie Hecht	3
Peter Spichtinger	3
Arsen S. Iskhakov	3
Jian‐Guo Liu	2
Chenxi Wang	2
Vladimir Zeitlin	2
Bokai Yan	2
Saul Abarbanel	2
Sergey Utyuzhnikov	2
Christopher S. Leonard	2
Eugene Kashdan	2
Changhui Tan	2
Chris Leonard	2
Safa Janajra	2
Yu Liu	1
Zhen Zhang	1
Hengrui Hu	1
Guergana Petrova	1
Alexander Kurganov Alexander Kurganov	1
Peter A. Markowich	1
Г. И. Баренблатт	1
Yaping Wu	1
Zhuolin Qu	1
Anna Iskhakova	1
Ankit Ruhi	1
Alexander Lorz	1
V. M. Prostokishin	1
Yongle Liu	1
Mária Lukáčová-Medvi rmcheckd ová	1
José A. Carrillo	1
Jian‐Guo Liu	1
Xuefeng Wang	1
Giacomo Dimarco	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Strong Stability-Preserving High-Order Time Discretization Methods	2001	Sigal Gottlieb Chi‐Wang Shu Eitan Tadmor	35
+ PDF Chat	Non-oscillatory central differencing for hyperbolic conservation laws	1990	Haim Nessyahu Eitan Tadmor	26
+	Semidiscrete Central-Upwind Schemes for Hyperbolic Conservation Laws and Hamilton--Jacobi Equations	2001	Alexander Kurganov Sebastian Noelle Guergana Petrova	24
+	High Resolution Schemes Using Flux Limiters for Hyperbolic Conservation Laws	1984	P. K. Sweby	23
+	Strong Stability Preserving Runge-Kutta and Multistep Time Discretizations	2011	Sigal Gottlieb David I. Ketcheson Chi‐Wang Shu	19
+	New High-Resolution Central Schemes for Nonlinear Conservation Laws and Convection–Diffusion Equations	2000	Alexander Kurganov Eitan Tadmor	16
+	Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method	1979	Bram van Leer	16
+ PDF Chat	Solution of two‐dimensional Riemann problems for gas dynamics without Riemann problem solvers	2002	Alexander Kurganov Eitan Tadmor	13
+ PDF Chat	A Second-Order Well-Balanced Positivity Preserving Central-Upwind Scheme for the Saint-Venant System	2007	Alexander Kurganov Guergana Petrova	12
+	Implicit-explicit Runge-Kutta methods for time-dependent partial differential equations	1997	Uri M. Ascher Steven J. Ruuth Raymond J. Spiteri	9
+ PDF Chat	Efficient implementation of essentially non-oscillatory shock-capturing schemes	1988	Chi‐Wang Shu Stanley Osher	7
+	Central-Upwind Schemes for the Saint-Venant System	2002	Alexander Kurganov Doron Levy	7
+	High order explicit methods for parabolic equations	1998	Alexei A. Medovikov	7
+	Model for chemotaxis	1971	Evelyn Fox Keller Lee A. Segel	6
+ PDF Chat	Finite Volume Evolution Galerkin Methods for the Shallow Water Equations with Dry Beds	2011	Andreas Bollermann Sebastian Noelle Mária Lukáčová-Medviďová	6
+	A Fast and Stable Well-Balanced Scheme with Hydrostatic Reconstruction for Shallow Water Flows	2004	Emmanuel Audusse François Bouchut Marie-Odile Bristeau Rupert Klein Benoı̂t Perthame	6
+	Numerical schemes for conservation laws	1997	Dietmar Kröner	6
+	Numerical Approximation of Hyperbolic Systems of Conservation Laws	1996	Edwige Godlewski Pierre-Arnaud Raviart	5
+	A blow-up mechanism for a chemotaxis model	1997	Miguel A. Herrero Juan J. L. Velázquez	5
+	On the Construction and Comparison of Difference Schemes	1968	Gilbert Strang	5
+	An Alternative Formulation of Finite Difference Weighted ENO Schemes with Lax--Wendroff Time Discretization for Conservation Laws	2013	Yan Jiang Chi‐Wang Shu Mengping Zhang	5
+	On a practical implementation of particle methods	2006	Alina Chertock Alexander Kurganov	5
+ PDF Chat	Implicit–Explicit Runge–Kutta Schemes and Applications to Hyperbolic Systems with Relaxation	2005	Lorenzo Pareschi Giovanni Russo	5
+	Nonlinear aspects of chemotaxis	1981	Stephen Childress J. K. Percus	5
+	A user’s guide to PDE models for chemotaxis	2008	Thomas Hillen Kevin J. Painter	5
+	A Characteristic-wise Alternative WENO-Z Finite Difference Scheme for Solving the Compressible Multicomponent Non-reactive Flows in the Overestimated Quasi-conservative Form	2020	Wai Sun Don Dongmei Li Zhen Gao Baoshan Wang	5
+	Dynamics of formation of symmetrical patterns by chemotactic bacteria	1995	Elena O. Budrene Howard C. Berg	4
+	Fifth-Order A-WENO Finite-Difference Schemes Based on a New Adaptive Diffusion Central Numerical Flux	2020	Baoshan Wang Wai Sun Don Naveen Kumar Garg Alexander Kurganov	4
+	Positivity-preserving and entropy-decaying IMEX methods	2006	Teo Roldán Inmaculada Higueras	4
+ PDF Chat	Well-balanced schemes for the Euler equations with gravitation: Conservative formulation using global fluxes	2018	Alina Chertock Shumo Cui Alexander Kurganov Şeyma Nur Özcan Eitan Tadmor	4
+ PDF Chat	An integrable shallow water equation with peaked solitons	1993	Roberto Camassa Darryl D. Holm	4
+	Spatio-temporal patterns generated by Salmonella typhimurium	1995	Diana E. Woodward Rebecca C. Tyson Mary R. Myerscough J. D. Murray Elena O. Budrene Howard C. Berg	4
+	Efficient implementation of essentially non-oscillatory shock-capturing schemes, II	1989	Chi‐Wang Shu Stanley Osher	4
+ PDF Chat	Interface tracking method for compressible multifluids	2008	Alina Chertock Smadar Karni Alexander Kurganov	4
+	Volume effects in the Keller–Segel model: energy estimates preventing blow-up	2006	Vincent Calvez José A. Carrillo	4
+	Transport Equations in Biology	2006	Benoı̂t Perthame	4
+ PDF Chat	On a Completely Integrable Numerical Scheme for a Nonlinear Shallow-Water Wave Equation	2005	Roberto Camassa Jingfang Huang Long Lee	4
+	Traveling bands of chemotactic bacteria: A theoretical analysis	1971	Evelyn Fox Keller Lee A. Segel	4
+	Complex patterns formed by motile cells of Escherichia coli	1991	Elena O. Budrene Howard C. Berg	4
+	A finite volume scheme for the Patlak–Keller–Segel chemotaxis model	2006	Francis Filbet	4
+	Simultaneous finite time blow-up in a two-species model for chemotaxis	2009	Elio Espejo Angela Stevens Juan J. L. Velázquez	3
+ PDF Chat	Simultaneous blowup and mass separation during collapse in an interacting system of chemotactic species	2012	Elio Espejo Angela Stevens Takashi Suzuki	3
+	Global Existence for a Parabolic Chemotaxis Model with Prevention of Overcrowding	2001	Thomas Hillen Kevin J. Painter	3
+	THE GEOMETRY OF DISSIPATIVE EVOLUTION EQUATIONS: THE POROUS MEDIUM EQUATION	2001	Félix Otto	3
+	Model and analysis of chemotactic bacterial patterns in a liquid medium	1999	Rebecca C. Tyson Sharon R. Lubkin J. D. Murray	3
+	Self-similarity and intermediate asymptotics	2003	Г. И. Баренблатт	3
+	Conservative upwind finite-element method for a simplified Keller–Segel system modelling chemotaxis	2006	Norikazu Saito	3
+	High Order Well-Balanced WENO Scheme for the Gas Dynamics Equations Under Gravitational Fields	2012	Yulong Xing Chi‐Wang Shu	3
+	An interface tracking method for hyperbolic systems of conservation laws	1992	Stephen F. Davis	3
+	Well‐balanced positivity preserving central‐upwind scheme for the shallow water system with friction terms	2015	Alina Chertock Shumo Cui Alexander Kurganov Tong Wu	3