Edit Profile (opens in new tab) Chertock, Alina E. Co-Author Distance Author ID: chertock.alina-e Published as: Chertock, Alina; Chertock, A.; Chertock, Alina E.; Chertock, A. E. more...less External Links: ORCID Documents Indexed: 74 Publications since 2000, including 7 Additional arXiv Preprints 1 Contribution as Editor Co-Authors: 74 Co-Authors with 73 Joint Publications 2,917 Co-Co-Authors all top 5 Co-Authors 2 single-authored 53 Kurganov, Alexander 7 Lukáčová-Medviďová, Mária 7 Wu, Tong 5 Cui, Shumo 5 Herty, Michael Matthias 3 Cheng, Yuanzhen 3 Chu, Shaoshuai 3 Degond, Pierre 3 Levy, Doron 3 Liu, Jianguo 3 Liu, Xin 3 Özcan, Şeyma Nur 3 Pendleton, Terrance 3 Petrova, Guergana 3 Tsynkov, Semyon V. 2 Abarbanel, Saul Sigmond 2 Iskhakov, Arsen S. 2 Janajra, Safa 2 Kashdan, Eugene 2 Liu, Yongle 2 Redle, Michael 2 Rosenau, Philip S. 2 Spichtinger, Peter 2 Wang, Chenxi 2 Yan, Jun 1 Barenblatt, Grigory Isaakovich 1 Bernstein, Andrew 1 Bertsch, Michiel 1 Carrillo de la Plata, José Antonio 1 Castro-Díaz, Manuel Jesús 1 Coco, Armando 1 Dimarco, Giacomo 1 Ditkowski, Adi 1 Doering, Charles Rogers 1 Du Toit, Philip C. 1 Dudzinski, Michael 1 Epshteyn, Yekaterina 1 Fellner, Klemens 1 Gelb, Anne 1 Gottlieb, David I. 1 Gottlieb, Sigal 1 Hecht, Sophie 1 Hu, Hengrui 1 Huang, Yanghong 1 Karni, Smadar 1 Leonard, Chris 1 Leonard, Christopher 1 Liu, Yu 1 Lorz, Alexander 1 Markowich, Peter Alexander 1 Marsden, Jerrold Eldon 1 Miller, Jason 1 Neusser, Jochen 1 Polizzi, Anthony 1 Prostokishin, Valeriy M. 1 Qu, Zhuolin 1 Ricchiuto, Mario 1 Ruhi, Ankit 1 Russo, Giovanni 1 Rykov, Yurii G. 1 Solomonoff, Alex 1 Tadmor, Eitan 1 Tan, Changhui 1 Timofeyev, Ilya 1 Utyuzhnikov, Sergey V. 1 Vincent, Jean-Paul 1 Wang, Xuefeng 1 Wolfkill, Karlan 1 Wu, Kailiang 1 Wu, Yaping 1 Yan, Bokai 1 Yefet, Amir 1 Zeitlin, Vladimir 1 Zhang, Zhen all top 5 Serials 9 Journal of Scientific Computing 8 Journal of Computational Physics 5 Communications in Computational Physics 3 Numerische Mathematik 3 SIAM Journal on Numerical Analysis 3 Kinetic and Related Models 2 Nonlinearity 2 Applied Numerical Mathematics 2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 2 Communications in Mathematical Sciences 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Computers & Mathematics with Applications 1 International Journal for Numerical Methods in Fluids 1 Journal of Fluid Mechanics 1 Applied Mathematics and Computation 1 European Journal of Applied Mathematics 1 Proceedings of the National Academy of Sciences of the United States of America 1 Computational Optimization and Applications 1 Advances in Computational Mathematics 1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 1 Mathematical Modelling and Analysis 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Multiscale Modeling & Simulation 1 Mathematical Biosciences and Engineering 1 East Asian Journal on Applied Mathematics 1 Mathematics of Climate and Weather Forecasting 1 SMAI Journal of Computational Mathematics 1 SN Partial Differential Equations and Applications all top 5 Fields 51 Numerical analysis (65-XX) 42 Partial differential equations (35-XX) 42 Fluid mechanics (76-XX) 15 Geophysics (86-XX) 9 Biology and other natural sciences (92-XX) 4 Statistical mechanics, structure of matter (82-XX) 4 Operations research, mathematical programming (90-XX) 3 Probability theory and stochastic processes (60-XX) 2 Dynamical systems and ergodic theory (37-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Mechanics of deformable solids (74-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 62 Publications have been cited 1,035 times in 778 Documents Cited by ▼ Year ▼ A finite-volume method for nonlinear nonlocal equations with a gradient flow structure. Zbl 1388.65077 Carrillo, José A.; Chertock, Alina; Huang, Yanghong 107 2015 On a chemotaxis model with saturated chemotactic flux. Zbl 1398.92033 Chertock, Alina; Kurganov, Alexander; Wang, Xuefeng; Wu, Yaping 79 2012 Sinking, merging and stationary plumes in a coupled chemotaxis-fluid model: a high-resolution numerical approach. Zbl 1250.76191 Chertock, A.; Fellner, K.; Kurganov, A.; Lorz, A.; Markowich, P. A. 79 2012 A second-order positivity preserving central-upwind scheme for chemotaxis and haptotaxis models. Zbl 1307.92045 Chertock, Alina; Kurganov, Alexander 73 2008 Well-balanced schemes for the Euler equations with gravitation: conservative formulation using global fluxes. Zbl 1381.76316 Chertock, Alina; Cui, Shumo; Kurganov, Alexander; Özcan, Şeyma Nur; Tadmor, Eitan 50 2018 Particle methods for dispersive equations. Zbl 0991.65008 Chertock, Alina; Levy, Doron 43 2001 Strict stability of high-order compact implicit finite-difference schemes: The role of boundary conditions for hyperbolic PDEs. I. Zbl 0987.65087 Abarbanel, Saul S.; Chertock, Alina E. 37 2000 Central-upwind schemes for the system of shallow water equations with horizontal temperature gradients. Zbl 1342.76081 Chertock, Alina; Kurganov, Alexander; Liu, Yu 34 2014 A new approach for designing moving-water equilibria preserving schemes for the shallow water equations. Zbl 1418.76033 Cheng, Yuanzhen; Chertock, Alina; Herty, Michael; Kurganov, Alexander; Wu, Tong 33 2019 Steady state and sign preserving semi-implicit Runge-Kutta methods for ODEs with stiff damping term. Zbl 1327.65128 Chertock, Alina; Cui, Shumo; Kurganov, Alexander; Wu, Tong 32 2015 Strict stability of high-order compact implicit finite-difference schemes: The role of boundary conditions for hyperbolic PDEs. II. Zbl 0987.65088 Abarbanel, Saul S.; Chertock, Alina E.; Yefet, Amir 24 2000 Self-similar intermediate asymptotics for a degenerate parabolic filtration-absorption equation. Zbl 0966.35069 Barenblatt, G. I.; Bertsch, M.; Chertock, A. E.; Prostokishin, V. M. 24 2000 High-order positivity-preserving hybrid finite-volume-finite-difference methods for chemotaxis systems. Zbl 1380.92011 Chertock, Alina; Epshteyn, Yekaterina; Hu, Hengrui; Kurganov, Alexander 23 2018 Well-balanced schemes for the shallow water equations with Coriolis forces. Zbl 1448.65097 Chertock, Alina; Dudzinski, Michael; Kurganov, Alexander; Lukáčová-Medvid’ová, Mária 23 2018 A new sticky particle method for pressureless gas dynamics. Zbl 1234.35145 Chertock, Alina; Kurganov, Alexander; Rykov, Yurii 21 2007 Formation of discontinuities in flux-saturated degenerate parabolic equations. Zbl 1049.35111 Chertock, Alina; Kurganov, Alexander; Rosenau, Philip 20 2003 Convergence of a particle method and global weak solutions of a family of evolutionary PDEs. Zbl 1239.35120 Chertock, Alina; Liu, Jian-Guo; Pendleton, Terrance 19 2012 Interface tracking method for compressible multifluids. Zbl 1232.76030 Chertock, Alina; Karni, Smadar; Kurganov, Alexander 19 2008 Pedestrian flow models with slowdown interactions. Zbl 1282.90041 Chertock, Alina; Kurganov, Alexander; Polizzi, Anthony; Timofeyev, Ilya 19 2014 Fast explicit operator splitting method for convection-diffusion equations. Zbl 1157.65436 Chertock, Alina; Kurganov, Alexander; Petrova, Guergana 17 2009 Well-balanced central-upwind schemes for \(2\times 2\) systems of balance laws. Zbl 1407.65143 Chertock, Alina; Herty, Michael; Özcan, Şeyma Nur 16 2018 On splitting-based numerical methods for convection-diffusion equations. Zbl 1266.65143 Chertock, Alina; Kurganov, Alexander 15 2009 On a hybrid finite-volume-particle method. Zbl 1077.65091 Chertock, Alina; Kurganov, Alexander 14 2004 Finite-volume-particle methods for models of transport of pollutant in shallow water. Zbl 1101.76036 Chertock, Alina; Kurganov, Alexander; Petrova, Guergana 12 2006 Three-layer approximation of two-layer shallow water equations. Zbl 1290.76032 Chertock, Alina; Kurganov, Alexander; Qu, Zhuolin; Wu, Tong 12 2013 On a practical implementation of particle methods. Zbl 1103.65103 Chertock, Alina; Kurganov, Alexander 11 2006 Elastic collisions among peakon solutions for the Camassa-Holm equation. Zbl 1326.35309 Chertock, Alina; Liu, Jian-Guo; Pendleton, Terrance 10 2015 A particle method for the KdV equation. Zbl 1001.76079 Chertock, Alina; Levy, Doron 10 2002 Well-balancing via flux globalization: applications to shallow water equations with wet/dry fronts. Zbl 1492.76084 Chertock, Alina; Kurganov, Alexander; Liu, Xin; Liu, Yongle; Wu, Tong 10 2022 An asymptotic preserving scheme for the two-dimensional shallow water equations with Coriolis forces. Zbl 1452.65192 Liu, Xin; Chertock, Alina; Kurganov, Alexander 10 2019 Integration of the EPDiff equation by particle methods. Zbl 1272.65079 Chertock, Alina; Du Toit, Philip; Marsden, Jerrold Eldon 10 2012 An asymptotic-preserving method for a relaxation of the Navier-Stokes-Korteweg equations. Zbl 1375.76121 Chertock, Alina; Degond, Pierre; Neusser, Jochen 9 2017 A second-order finite-difference method for compressible fluids in domains with moving boundaries. Zbl 1488.76097 Chertock, Alina; Coco, Armando; Kurganov, Alexander; Russo, Giovanni 9 2018 A fast explicit operator splitting method for passive scalar advection. Zbl 1203.76126 Chertock, Alina; Doering, Charles R.; Kashdan, Eugene; Kurganov, Alexander 8 2010 On degenerate saturated-diffusion equations with convection. Zbl 1067.35037 Chertock, Alina; Kurganov, Alexander; Rosenau, Philip 8 2005 A practical guide to deterministic particle methods. Zbl 1368.65206 Chertock, A. 8 2017 On the stability of a class of self-similar solutions to the filtration-absorption equation. Zbl 1056.35018 Chertock, Alina 8 2002 Propagation of diffusing pollutant by a hybrid Eulerian-Lagrangian method. Zbl 1354.76115 Chertock, A.; Kashdan, E.; Kurganov, A. 6 2008 A simple Eulerian finite volume method for compressible fluids in domains with moving boundaries. Zbl 1149.76032 Chertock, Alina; Kurganov, Alexander 6 2008 An asymptotic preserving scheme for kinetic chemotaxis models in two space dimensions. Zbl 1407.92027 Chertock, Alina; Kurganov, Alexander; Lukáčová-Medviďová, Mária; Özcan, Şeyma Nur 6 2019 On wavelet-based numerical homogenization. Zbl 1079.65104 Chertock, Alina; Levy, Doron 5 2004 Fast explicit operator splitting method. Application to the polymer system. Zbl 1374.82033 Chertock, Alina; Kurganov, Alexander; Petrova, Guergana 5 2005 Stochastic Galerkin method for cloud simulation. Zbl 1505.86001 Chertock, A.; Kurganov, A.; Lukáčová-Medvid’ová, M.; Spichtinger, P.; Wiebe, B. 5 2019 Modified optimal prediction and its application to a particle-method problem. Zbl 1203.65209 Chertock, Alina; Gottlieb, David; Solomonoff, Alex 4 2008 Computing multivalued solutions of pressureless gas dynamics by deterministic particle methods. Zbl 1364.76171 Chertock, Alina; Kurganov, Alexander 4 2009 An Eulerian-Lagrangian method for optimization problems governed by multidimensional nonlinear hyperbolic PDEs. Zbl 1306.49047 Chertock, Alina; Herty, Michael; Kurganov, Alexander 4 2014 Incompressible limit of a continuum model of tissue growth with segregation for two cell populations. Zbl 1497.92021 Chertock, Alina; Degond, Pierre; Hecht, Sophie; Vincent, Jean-Paul 4 2019 Central-upwind scheme for shallow water equations with discontinuous bottom topography. Zbl 1338.76072 Bernstein, Andrew; Chertock, Alina; Kurganov, Alexander 3 2016 Adaptive moving mesh upwind scheme for the two-species chemotaxis model. Zbl 1442.92014 Chertock, Alina; Kurganov, Alexander; Ricchiuto, Mario; Wu, Tong 3 2019 Local characteristic decomposition based central-upwind scheme. Zbl 07625389 Chertock, Alina; Chu, Shaoshuai; Herty, Michael; Kurganov, Alexander; Lukáčová-Medvid’ová, Mária 3 2023 An asymptotic preserving scheme for kinetic models with singular limit. Zbl 1405.82025 Chertock, Alina; Tan, Changhui; Yan, Bokai 3 2018 Solving two-mode shallow water equations using finite volume methods. Zbl 1373.76124 Diaz, Manuel Jesús Castro; Cheng, Yuanzhen; Chertock, Alina; Kurganov, Alexander 2 2014 Conservative locally moving mesh method for multifluid flows. Zbl 1374.76125 Chertock, Alina; Kurganov, Alexander 2 2005 Convergence analysis of the particle method for the Camassa-Holm equation. Zbl 1291.35009 Chertock, Alina; Liu, Jian-Guo; Pendleton, Terrance 2 2012 Finite-volume-particle methods for the two-component Camassa-Holm system. Zbl 1473.65135 Chertock, Alina; Kurganov, Alexander; Liu, Yongle 2 2020 Hybrid multifluid algorithms based on the path-conservative central-upwind scheme. Zbl 1493.76068 Chertock, Alina; Chu, Shaoshuai; Kurganov, Alexander 2 2021 High-resolution positivity and asymptotic preserving numerical methods for chemotaxis and related models. Zbl 1453.92047 Chertock, Alina; Kurganov, Alexander 2 2019 Operator splitting based central-upwind schemes for shallow water equations with moving bottom topography. Zbl 1464.65096 Chertock, Alina; Kurganov, Alexander; Wu, Tong 2 2020 One-dimensional/two-dimensional coupling approach with quadrilateral confluence region for modeling river systems. Zbl 1429.86003 Liu, Xin; Chertock, Alina; Kurganov, Alexander; Wolfkill, Karlan 1 2019 Well-balanced numerical method for atmospheric flow equations with gravity. Zbl 07689959 Chertock, Alina; Kurganov, Alexander; Wu, Tong; Yan, Jun 1 2023 Central-upwind scheme for a non-hydrostatic Saint-Venant system. Zbl 1460.65105 Chertock, Alina; Kurganov, Alexander; Miller, Jason; Yan, Jun 1 2020 Hybrid finite-volume-particle method for dusty gas flows. Zbl 1416.76143 Chertock, Alina; Cui, Shumo; Kurganov, Alexander 1 2017 Local characteristic decomposition based central-upwind scheme. Zbl 07625389 Chertock, Alina; Chu, Shaoshuai; Herty, Michael; Kurganov, Alexander; Lukáčová-Medvid’ová, Mária 3 2023 Well-balanced numerical method for atmospheric flow equations with gravity. Zbl 07689959 Chertock, Alina; Kurganov, Alexander; Wu, Tong; Yan, Jun 1 2023 Well-balancing via flux globalization: applications to shallow water equations with wet/dry fronts. Zbl 1492.76084 Chertock, Alina; Kurganov, Alexander; Liu, Xin; Liu, Yongle; Wu, Tong 10 2022 Hybrid multifluid algorithms based on the path-conservative central-upwind scheme. Zbl 1493.76068 Chertock, Alina; Chu, Shaoshuai; Kurganov, Alexander 2 2021 Finite-volume-particle methods for the two-component Camassa-Holm system. Zbl 1473.65135 Chertock, Alina; Kurganov, Alexander; Liu, Yongle 2 2020 Operator splitting based central-upwind schemes for shallow water equations with moving bottom topography. Zbl 1464.65096 Chertock, Alina; Kurganov, Alexander; Wu, Tong 2 2020 Central-upwind scheme for a non-hydrostatic Saint-Venant system. Zbl 1460.65105 Chertock, Alina; Kurganov, Alexander; Miller, Jason; Yan, Jun 1 2020 A new approach for designing moving-water equilibria preserving schemes for the shallow water equations. Zbl 1418.76033 Cheng, Yuanzhen; Chertock, Alina; Herty, Michael; Kurganov, Alexander; Wu, Tong 33 2019 An asymptotic preserving scheme for the two-dimensional shallow water equations with Coriolis forces. Zbl 1452.65192 Liu, Xin; Chertock, Alina; Kurganov, Alexander 10 2019 An asymptotic preserving scheme for kinetic chemotaxis models in two space dimensions. Zbl 1407.92027 Chertock, Alina; Kurganov, Alexander; Lukáčová-Medviďová, Mária; Özcan, Şeyma Nur 6 2019 Stochastic Galerkin method for cloud simulation. Zbl 1505.86001 Chertock, A.; Kurganov, A.; Lukáčová-Medvid’ová, M.; Spichtinger, P.; Wiebe, B. 5 2019 Incompressible limit of a continuum model of tissue growth with segregation for two cell populations. Zbl 1497.92021 Chertock, Alina; Degond, Pierre; Hecht, Sophie; Vincent, Jean-Paul 4 2019 Adaptive moving mesh upwind scheme for the two-species chemotaxis model. Zbl 1442.92014 Chertock, Alina; Kurganov, Alexander; Ricchiuto, Mario; Wu, Tong 3 2019 High-resolution positivity and asymptotic preserving numerical methods for chemotaxis and related models. Zbl 1453.92047 Chertock, Alina; Kurganov, Alexander 2 2019 One-dimensional/two-dimensional coupling approach with quadrilateral confluence region for modeling river systems. Zbl 1429.86003 Liu, Xin; Chertock, Alina; Kurganov, Alexander; Wolfkill, Karlan 1 2019 Well-balanced schemes for the Euler equations with gravitation: conservative formulation using global fluxes. Zbl 1381.76316 Chertock, Alina; Cui, Shumo; Kurganov, Alexander; Özcan, Şeyma Nur; Tadmor, Eitan 50 2018 High-order positivity-preserving hybrid finite-volume-finite-difference methods for chemotaxis systems. Zbl 1380.92011 Chertock, Alina; Epshteyn, Yekaterina; Hu, Hengrui; Kurganov, Alexander 23 2018 Well-balanced schemes for the shallow water equations with Coriolis forces. Zbl 1448.65097 Chertock, Alina; Dudzinski, Michael; Kurganov, Alexander; Lukáčová-Medvid’ová, Mária 23 2018 Well-balanced central-upwind schemes for \(2\times 2\) systems of balance laws. Zbl 1407.65143 Chertock, Alina; Herty, Michael; Özcan, Şeyma Nur 16 2018 A second-order finite-difference method for compressible fluids in domains with moving boundaries. Zbl 1488.76097 Chertock, Alina; Coco, Armando; Kurganov, Alexander; Russo, Giovanni 9 2018 An asymptotic preserving scheme for kinetic models with singular limit. Zbl 1405.82025 Chertock, Alina; Tan, Changhui; Yan, Bokai 3 2018 An asymptotic-preserving method for a relaxation of the Navier-Stokes-Korteweg equations. Zbl 1375.76121 Chertock, Alina; Degond, Pierre; Neusser, Jochen 9 2017 A practical guide to deterministic particle methods. Zbl 1368.65206 Chertock, A. 8 2017 Hybrid finite-volume-particle method for dusty gas flows. Zbl 1416.76143 Chertock, Alina; Cui, Shumo; Kurganov, Alexander 1 2017 Central-upwind scheme for shallow water equations with discontinuous bottom topography. Zbl 1338.76072 Bernstein, Andrew; Chertock, Alina; Kurganov, Alexander 3 2016 A finite-volume method for nonlinear nonlocal equations with a gradient flow structure. Zbl 1388.65077 Carrillo, José A.; Chertock, Alina; Huang, Yanghong 107 2015 Steady state and sign preserving semi-implicit Runge-Kutta methods for ODEs with stiff damping term. Zbl 1327.65128 Chertock, Alina; Cui, Shumo; Kurganov, Alexander; Wu, Tong 32 2015 Elastic collisions among peakon solutions for the Camassa-Holm equation. Zbl 1326.35309 Chertock, Alina; Liu, Jian-Guo; Pendleton, Terrance 10 2015 Central-upwind schemes for the system of shallow water equations with horizontal temperature gradients. Zbl 1342.76081 Chertock, Alina; Kurganov, Alexander; Liu, Yu 34 2014 Pedestrian flow models with slowdown interactions. Zbl 1282.90041 Chertock, Alina; Kurganov, Alexander; Polizzi, Anthony; Timofeyev, Ilya 19 2014 An Eulerian-Lagrangian method for optimization problems governed by multidimensional nonlinear hyperbolic PDEs. Zbl 1306.49047 Chertock, Alina; Herty, Michael; Kurganov, Alexander 4 2014 Solving two-mode shallow water equations using finite volume methods. Zbl 1373.76124 Diaz, Manuel Jesús Castro; Cheng, Yuanzhen; Chertock, Alina; Kurganov, Alexander 2 2014 Three-layer approximation of two-layer shallow water equations. Zbl 1290.76032 Chertock, Alina; Kurganov, Alexander; Qu, Zhuolin; Wu, Tong 12 2013 On a chemotaxis model with saturated chemotactic flux. Zbl 1398.92033 Chertock, Alina; Kurganov, Alexander; Wang, Xuefeng; Wu, Yaping 79 2012 Sinking, merging and stationary plumes in a coupled chemotaxis-fluid model: a high-resolution numerical approach. Zbl 1250.76191 Chertock, A.; Fellner, K.; Kurganov, A.; Lorz, A.; Markowich, P. A. 79 2012 Convergence of a particle method and global weak solutions of a family of evolutionary PDEs. Zbl 1239.35120 Chertock, Alina; Liu, Jian-Guo; Pendleton, Terrance 19 2012 Integration of the EPDiff equation by particle methods. Zbl 1272.65079 Chertock, Alina; Du Toit, Philip; Marsden, Jerrold Eldon 10 2012 Convergence analysis of the particle method for the Camassa-Holm equation. Zbl 1291.35009 Chertock, Alina; Liu, Jian-Guo; Pendleton, Terrance 2 2012 A fast explicit operator splitting method for passive scalar advection. Zbl 1203.76126 Chertock, Alina; Doering, Charles R.; Kashdan, Eugene; Kurganov, Alexander 8 2010 Fast explicit operator splitting method for convection-diffusion equations. Zbl 1157.65436 Chertock, Alina; Kurganov, Alexander; Petrova, Guergana 17 2009 On splitting-based numerical methods for convection-diffusion equations. Zbl 1266.65143 Chertock, Alina; Kurganov, Alexander 15 2009 Computing multivalued solutions of pressureless gas dynamics by deterministic particle methods. Zbl 1364.76171 Chertock, Alina; Kurganov, Alexander 4 2009 A second-order positivity preserving central-upwind scheme for chemotaxis and haptotaxis models. Zbl 1307.92045 Chertock, Alina; Kurganov, Alexander 73 2008 Interface tracking method for compressible multifluids. Zbl 1232.76030 Chertock, Alina; Karni, Smadar; Kurganov, Alexander 19 2008 Propagation of diffusing pollutant by a hybrid Eulerian-Lagrangian method. Zbl 1354.76115 Chertock, A.; Kashdan, E.; Kurganov, A. 6 2008 A simple Eulerian finite volume method for compressible fluids in domains with moving boundaries. Zbl 1149.76032 Chertock, Alina; Kurganov, Alexander 6 2008 Modified optimal prediction and its application to a particle-method problem. Zbl 1203.65209 Chertock, Alina; Gottlieb, David; Solomonoff, Alex 4 2008 A new sticky particle method for pressureless gas dynamics. Zbl 1234.35145 Chertock, Alina; Kurganov, Alexander; Rykov, Yurii 21 2007 Finite-volume-particle methods for models of transport of pollutant in shallow water. Zbl 1101.76036 Chertock, Alina; Kurganov, Alexander; Petrova, Guergana 12 2006 On a practical implementation of particle methods. Zbl 1103.65103 Chertock, Alina; Kurganov, Alexander 11 2006 On degenerate saturated-diffusion equations with convection. Zbl 1067.35037 Chertock, Alina; Kurganov, Alexander; Rosenau, Philip 8 2005 Fast explicit operator splitting method. Application to the polymer system. Zbl 1374.82033 Chertock, Alina; Kurganov, Alexander; Petrova, Guergana 5 2005 Conservative locally moving mesh method for multifluid flows. Zbl 1374.76125 Chertock, Alina; Kurganov, Alexander 2 2005 On a hybrid finite-volume-particle method. Zbl 1077.65091 Chertock, Alina; Kurganov, Alexander 14 2004 On wavelet-based numerical homogenization. Zbl 1079.65104 Chertock, Alina; Levy, Doron 5 2004 Formation of discontinuities in flux-saturated degenerate parabolic equations. Zbl 1049.35111 Chertock, Alina; Kurganov, Alexander; Rosenau, Philip 20 2003 A particle method for the KdV equation. Zbl 1001.76079 Chertock, Alina; Levy, Doron 10 2002 On the stability of a class of self-similar solutions to the filtration-absorption equation. Zbl 1056.35018 Chertock, Alina 8 2002 Particle methods for dispersive equations. Zbl 0991.65008 Chertock, Alina; Levy, Doron 43 2001 Strict stability of high-order compact implicit finite-difference schemes: The role of boundary conditions for hyperbolic PDEs. I. Zbl 0987.65087 Abarbanel, Saul S.; Chertock, Alina E. 37 2000 Strict stability of high-order compact implicit finite-difference schemes: The role of boundary conditions for hyperbolic PDEs. II. Zbl 0987.65088 Abarbanel, Saul S.; Chertock, Alina E.; Yefet, Amir 24 2000 Self-similar intermediate asymptotics for a degenerate parabolic filtration-absorption equation. Zbl 0966.35069 Barenblatt, G. I.; Bertsch, M.; Chertock, A. E.; Prostokishin, V. M. 24 2000 all cited Publications top 5 cited Publications all top 5 Cited by 1,174 Authors 49 Kurganov, Alexander 48 Carrillo de la Plata, José Antonio 30 Chertock, Alina E. 15 Wang, Qi 13 Lukáčová-Medviďová, Mária 12 Liu, Jianguo 12 Shu, Chi-Wang 12 Wazwaz, Abdul-Majid Abdul-Rahman 11 Liu, Yongle 10 Degond, Pierre 10 Kang, Kyungkeun 10 Vauchelet, Nicolas 9 Liu, Xin 8 Nordström, Jan 8 Pareschi, Lorenzo 8 Perthame, Benoît 8 Schmidtchen, Markus 7 Dong, Jian 7 Herty, Michael Matthias 7 Kalliadasis, Serafim 7 Wang, Li 7 Winkler, Michael 7 Yang, Yang 7 Zhou, Wenshu 6 Abedian, Rooholah 6 Caselles Costa, Vicent 6 Dehghan Takht Fooladi, Mehdi 6 Epshteyn, Yekaterina 6 Klar, Axel 6 Li, Gang 6 Perez, Sergio P. 6 Rus, Francisco 6 Russo, Giovanni 6 Villatoro, Francisco R. 6 Xing, Yulong 6 Zhang, Qian 6 Zhou, Zhennan 5 Calvo, Juan G. 5 Cao, Yangyang 5 Craig, Katy 5 Gao, Yu 5 Harfash, Akil Jassim 5 Harris, Paul J. 5 Hu, Jingwei 5 Huang, Yanghong 5 Klingenberg, Christian 5 Mai Duc Thanh 5 Pantano, Carlos 5 Peurichard, Diane 5 Qian, Shouguo 5 Ricchiuto, Mario 5 Sheu, Tony Wen-Hann 5 Soler, Juan S. 5 Wang, Zhian 5 Wu, Tong 5 Xiang, Zhaoyin 5 Zhang, Lu 4 Bellomo, Nicola 4 Berberich, Jonas P. 4 Berthon, Christophe 4 Campos, Juan 4 Chandrashekar, Praveen 4 Chen, Wenbin 4 Choi, Young-Pil 4 Chu, Shaoshuai 4 Coco, Armando 4 Dumbser, Michael 4 Fagioli, Simone 4 Feng, Xinlong 4 Fetecau, Razvan C. 4 Hecht, Sophie 4 Huang, Juntao 4 Jin, Chunhua 4 Lagoutière, Frédéric 4 Li, Dingfang 4 Öffner, Philipp 4 Qiu, Jianxian 4 Thanh, Nguyen Xuan 4 Villamizar-Roa, Elder Jesús 4 Wolfram, Marie-Therese 4 Wu, Kailiang 4 Xiang, Tian 4 Xu, Yan 4 Yao, Zhengan 4 Zeitlin, Vladimir 4 Zhou, Shenggao 3 Anderson, Sarah E. 3 Bailo, Rafael 3 Barré, Julien 3 Bell, Jonathan 3 Black, Tobias 3 Borsche, Raul 3 Camassa, Roberto 3 Castro, Manuel J. 3 Chacón, Luis 3 Chen, Xi 3 Chen, Yaming 3 Clain, Stéphane Louis 3 Colombeau, Mathilde 3 Corli, Andrea ...and 1,074 more Authors all top 5 Cited in 162 Serials 102 Journal of Computational Physics 51 Journal of Scientific Computing 30 Applied Mathematics and Computation 25 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 22 Computers and Fluids 22 Journal of Differential Equations 21 Computers & Mathematics with Applications 20 SIAM Journal on Scientific Computing 19 Communications in Computational Physics 17 Applied Numerical Mathematics 12 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 12 Discrete and Continuous Dynamical Systems 12 Discrete and Continuous Dynamical Systems. Series B 12 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 12 Kinetic and Related Models 11 Journal of Computational and Applied Mathematics 11 SIAM Journal on Mathematical Analysis 10 Computer Methods in Applied Mechanics and Engineering 9 Numerische Mathematik 9 Networks and Heterogeneous Media 8 Journal of Mathematical Analysis and Applications 8 Mathematics and Computers in Simulation 8 Physica D 7 Mathematical Methods in the Applied Sciences 7 ZAMP. Zeitschrift für angewandte Mathematik und Physik 7 SIAM Journal on Numerical Analysis 7 Computational Mathematics and Mathematical Physics 6 Journal of Mathematical Biology 6 Mathematics of Computation 6 Numerical Methods for Partial Differential Equations 6 Advances in Computational Mathematics 6 Communications in Nonlinear Science and Numerical Simulation 6 Nonlinear Analysis. Real World Applications 6 SIAM Journal on Applied Dynamical Systems 5 Communications in Mathematical Physics 5 Nonlinearity 5 Applied Mathematical Modelling 5 Multiscale Modeling & Simulation 5 Mathematical Biosciences and Engineering 4 Computer Physics Communications 4 Journal of Mathematical Physics 4 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 4 SIAM Journal on Applied Mathematics 4 Journal of Nonlinear Science 4 Computational and Applied Mathematics 4 Journal of Mathematical Fluid Mechanics 3 Applicable Analysis 3 Archive for Rational Mechanics and Analysis 3 Journal of Fluid Mechanics 3 Journal of Statistical Physics 3 Bulletin of Mathematical Biology 3 Calcolo 3 Studies in Applied Mathematics 3 European Journal of Applied Mathematics 3 Calculus of Variations and Partial Differential Equations 3 Mathematical Problems in Engineering 3 Journal of Physics A: Mathematical and Theoretical 3 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 3 Electronic Research Archive 2 Mathematical Biosciences 2 Physica A 2 Chaos, Solitons and Fractals 2 Advances in Mathematics 2 BIT 2 Indiana University Mathematics Journal 2 Journal of Functional Analysis 2 Quarterly of Applied Mathematics 2 Transactions of the American Mathematical Society 2 Acta Applicandae Mathematicae 2 Acta Mathematicae Applicatae Sinica. English Series 2 Revista Matemática Iberoamericana 2 The Annals of Applied Probability 2 International Journal of Computer Mathematics 2 Journal of Dynamics and Differential Equations 2 Computational Optimization and Applications 2 Physics of Fluids 2 Engineering Analysis with Boundary Elements 2 European Journal of Mechanics. B. Fluids 2 Computational Geosciences 2 International Journal of Nonlinear Sciences and Numerical Simulation 2 Foundations of Computational Mathematics 2 Communications on Pure and Applied Analysis 2 International Journal of Computational Methods 2 Acta Numerica 2 SIAM Journal on Imaging Sciences 2 Advances in Applied Mathematics and Mechanics 2 Journal of Theoretical Biology 2 SN Partial Differential Equations and Applications 1 Modern Physics Letters B 1 Geophysical and Astrophysical Fluid Dynamics 1 Mathematical Notes 1 Theoretical and Mathematical Physics 1 Wave Motion 1 Applied Mathematics and Optimization 1 International Journal for Numerical Methods in Engineering 1 Inventiones Mathematicae 1 Journal of Multivariate Analysis 1 Theoretical Population Biology 1 Bulletin of the Iranian Mathematical Society 1 Journal of Computational Mathematics ...and 62 more Serials all top 5 Cited in 38 Fields 543 Partial differential equations (35-XX) 422 Numerical analysis (65-XX) 302 Fluid mechanics (76-XX) 252 Biology and other natural sciences (92-XX) 62 Statistical mechanics, structure of matter (82-XX) 32 Geophysics (86-XX) 30 Dynamical systems and ergodic theory (37-XX) 24 Calculus of variations and optimal control; optimization (49-XX) 18 Ordinary differential equations (34-XX) 18 Mechanics of deformable solids (74-XX) 17 Probability theory and stochastic processes (60-XX) 17 Operations research, mathematical programming (90-XX) 15 Integral equations (45-XX) 13 Computer science (68-XX) 9 Classical thermodynamics, heat transfer (80-XX) 9 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 8 Mechanics of particles and systems (70-XX) 7 Operator theory (47-XX) 6 Statistics (62-XX) 6 Relativity and gravitational theory (83-XX) 6 Astronomy and astrophysics (85-XX) 5 Optics, electromagnetic theory (78-XX) 4 Approximations and expansions (41-XX) 3 General and overarching topics; collections (00-XX) 3 Measure and integration (28-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Functional analysis (46-XX) 3 Systems theory; control (93-XX) 3 Information and communication theory, circuits (94-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Difference and functional equations (39-XX) 2 Differential geometry (53-XX) 2 Quantum theory (81-XX) 1 History and biography (01-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Convex and discrete geometry (52-XX) 1 Global analysis, analysis on manifolds (58-XX) Citations by Year