@article{wang_chertock_cui_kurganov_zhang_2023, title={A diffuse-domain-based numerical method for a chemotaxis-fluid model}, volume={2}, ISSN={["1793-6314"]}, DOI={10.1142/S0218202523500094}, journal={MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES}, author={Wang, Chenxi and Chertock, Alina and Cui, Shumo and Kurganov, Alexander and Zhang, Zhen}, year={2023}, month={Feb} }
 @article{chertock_chu_herty_kurganov_lukacova-medvid'ova_2023, title={Local characteristic decomposition based central-upwind scheme}, volume={473}, ISSN={["1090-2716"]}, DOI={10.1016/j.jcp.2022.111718}, journal={JOURNAL OF COMPUTATIONAL PHYSICS}, author={Chertock, Alina and Chu, Shaoshuai and Herty, Michael and Kurganov, Alexander and Lukacova-Medvid'ova, Maria}, year={2023}, month={Jan} }
 @article{chertock_kurganov_wu_yan_2023, title={Well-balanced numerical method for atmospheric flow equations with gravity}, volume={439}, ISSN={["1873-5649"]}, DOI={10.1016/j.amc.2022.127587}, journal={APPLIED MATHEMATICS AND COMPUTATION}, author={Chertock, Alina and Kurganov, Alexander and Wu, Tong and Yan, Jun}, year={2023}, month={Feb} }
 @article{chertock_kurganov_liu_liu_wu_2022, title={Well-Balancing via Flux Globalization: Applications to Shallow Water Equations with Wet/Dry Fronts}, volume={90}, ISSN={["1573-7691"]}, DOI={10.1007/s10915-021-01680-z}, number={1}, journal={JOURNAL OF SCIENTIFIC COMPUTING}, author={Chertock, Alina and Kurganov, Alexander and Liu, Xin and Liu, Yongle and Wu, Tong}, year={2022}, month={Jan} }
 @article{chertock_chu_kurganov_2021, title={Hybrid Multifluid Algorithms Based on the Path-Conservative Central-Upwind Scheme}, volume={89}, ISSN={["1573-7691"]}, DOI={10.1007/s10915-021-01656-z}, number={2}, journal={JOURNAL OF SCIENTIFIC COMPUTING}, author={Chertock, Alina and Chu, Shaoshuai and Kurganov, Alexander}, year={2021}, month={Nov} }
 @article{chertock_kurganov_liu_2020, title={Finite-Volume-Particle Methods for the Two-Component Camassa-Holm System}, volume={27}, ISSN={["1991-7120"]}, DOI={10.4208/cicp.OA-2018-0325}, number={2}, journal={COMMUNICATIONS IN COMPUTATIONAL PHYSICS}, author={Chertock, Alina and Kurganov, Alexander and Liu, Yongle}, year={2020}, month={Feb}, pages={480–502} }
 @article{chertock_kurganov_wu_2020, title={Operator splitting based central-upwind schemes for shallow water equations with moving bottom topography}, volume={18}, DOI={10.4310/cms.2020.v18.n8.a3}, number={8}, journal={Communications in Mathematical Sciences}, publisher={International Press of Boston}, author={Chertock, Alina and Kurganov, Alexander and Wu, Tong}, year={2020}, pages={2149–2168} }
 @article{cheng_chertock_herty_kurganov_wu_2019, title={A New Approach for Designing Moving-Water Equilibria Preserving Schemes for the Shallow Water Equations}, volume={80}, ISSN={["1573-7691"]}, url={https://doi-org.prox.lib.ncsu.edu/10.1007/s10915-019-00947-w}, DOI={10.1007/s10915-019-00947-w}, number={1}, journal={JOURNAL OF SCIENTIFIC COMPUTING}, author={Cheng, Yuanzhen and Chertock, Alina and Herty, Michael and Kurganov, Alexander and Wu, Tong}, year={2019}, month={Jul}, pages={538–554} }
 @article{chertock_kurganov_ricchiuto_wu_2019, title={Adaptive moving mesh upwind scheme for the two-species chemotaxis model}, volume={77}, ISSN={0898-1221}, url={http://dx.doi.org/10.1016/j.camwa.2019.01.021}, DOI={10.1016/j.camwa.2019.01.021}, number={12}, journal={Computers & Mathematics with Applications}, publisher={Elsevier BV}, author={Chertock, Alina and Kurganov, Alexander and Ricchiuto, Mario and Wu, Tong}, year={2019}, month={Jun}, pages={3172–3185} }
 @article{chertock_kurganov_lukáčová-medvid’ová_nur özcan_2019, title={An asymptotic preserving scheme for kinetic chemotaxis models in two space dimensions}, volume={12}, ISSN={1937-5077}, url={http://dx.doi.org/10.3934/krm.2019009}, DOI={10.3934/krm.2019009}, number={1}, journal={Kinetic & Related Models}, publisher={American Institute of Mathematical Sciences (AIMS)}, author={Chertock, Alina and Kurganov, Alexander and Lukáčová-Medvid’ová, Mária and Nur Özcan, Șeyma}, year={2019}, pages={195–216} }
 @article{liu_chertock_kurganov_2019, title={An asymptotic preserving scheme for the two-dimensional shallow water equations with Coriolis forces}, volume={391}, ISSN={["1090-2716"]}, url={https://doi-org.prox.lib.ncsu.edu/10.1016/j.jcp.2019.04.035}, DOI={10.1016/j.jcp.2019.04.035}, journal={JOURNAL OF COMPUTATIONAL PHYSICS}, author={Liu, Xin and Chertock, Alina and Kurganov, Alexander}, year={2019}, month={Aug}, pages={259–279} }
 @article{chertock_kurganov_2019, title={High-Resolution Positivity and Asymptotic Preserving Numerical Methods for Chemotaxis and Related Models}, ISBN={["978-3-030-20296-5"]}, ISSN={["2164-3725"]}, DOI={10.1007/978-3-030-20297-2_4}, journal={ACTIVE PARTICLES, VOL 2: ADVANCES IN THEORY, MODELS, AND APPLICATIONS}, author={Chertock, Alina and Kurganov, Alexander}, year={2019}, pages={109–148} }
 @article{chertock_degond_hecht_vincent_2019, title={Incompressible limit of a continuum model of tissue growth with segregation for two cell populations}, volume={16}, ISSN={["1551-0018"]}, url={http://dx.doi.org/10.3934/mbe.2019290}, DOI={10.3934/mbe.2019290}, number={5}, journal={MATHEMATICAL BIOSCIENCES AND ENGINEERING}, author={Chertock, Alina and Degond, Pierre and Hecht, Sophie and Vincent, Jean-Paul}, year={2019}, pages={5804–5835} }
 @article{chertock_degond_hecht_vincent_2019, title={Incompressible limit of a continuum model of tissue growth with segregation for two cell populations}, volume={16}, url={https://doi.org/10.3934/mbe.2019290}, DOI={https://doi-org.prox.lib.ncsu.edu/10.1007/s10915-019-00947-w}, number={5}, journal={Math. Biosci. Eng.}, author={Chertock, Alina and Degond, Pierre and Hecht, Sophie and Vincent, Jean-Paul}, year={2019}, pages={5804–5835} }
 @article{chertock_2019, title={One-Dimensional/Two-Dimensional Coupling Approach with Quadrilateral Confluence Region for Modeling River Systems}, url={http://dx.doi.org/10.1007/s10915-019-00985-4}, DOI={10.1007/s10915-019-00985-4}, journal={Journal of Scientific Computing}, author={Chertock, Alina}, year={2019}, month={Jun} }
 @article{chertock_2019, title={Preface to the Special Issue in Memory of Professor Saul Abarbanel}, url={http://dx.doi.org/10.1007/s10915-019-01084-0}, DOI={10.1007/s10915-019-01084-0}, journal={Journal of Scientific Computing}, author={Chertock, Alina}, year={2019}, month={Dec} }
 @article{chertock_kurganov_lukáčová-medvid’ová_spichtinger_wiebe_2019, title={Stochastic Galerkin method for cloud simulation}, volume={5}, ISSN={2353-6438}, url={http://dx.doi.org/10.1515/mcwf-2019-0005}, DOI={10.1515/mcwf-2019-0005}, abstractNote={Abstract
We develop a stochastic Galerkin method for a coupled Navier-Stokes-cloud system that models dynamics of warm clouds. Our goal is to explicitly describe the evolution of uncertainties that arise due to unknown input data, such as model parameters and initial or boundary conditions. The developed stochastic Galerkin method combines the space-time approximation obtained by a suitable finite volume method with a spectral-type approximation based on the generalized polynomial chaos expansion in the stochastic space. The resulting numerical scheme yields a second-order accurate approximation in both space and time and exponential convergence in the stochastic space. Our numerical results demonstrate the reliability and robustness of the stochastic Galerkin method. We also use the proposed method to study the behavior of clouds in certain perturbed scenarios, for examples, the ones leading to changes in macroscopic cloud pattern as a shift from hexagonal to rectangular structures.}, number={1}, journal={Mathematics of Climate and Weather Forecasting}, publisher={Walter de Gruyter GmbH}, author={Chertock, A. and Kurganov, A. and Lukáčová-Medvid’ová, M. and Spichtinger, P. and Wiebe, B.}, year={2019}, month={Jan}, pages={65–106} }
 @article{chertock_coco_kurganov_russo_2018, title={A second-order finite-difference method for compressible
              fluids in domains with moving boundaries}, volume={23}, number={1}, journal={Commun. Comput. Phys.}, author={Chertock, Alina and Coco, Armando and Kurganov, Alexander and Russo, Giovanni}, year={2018}, pages={230–263} }
 @article{chertock_tan_yan_2018, title={AN ASYMPTOTIC PRESERVING SCHEME FOR KINETIC MODELS WITH SINGULAR LIMIT}, volume={11}, ISSN={["1937-5077"]}, url={https://doi-org.prox.lib.ncsu.edu/10.3934/krm.2018030}, DOI={10.3934/krm.2018030}, number={4}, journal={KINETIC AND RELATED MODELS}, author={Chertock, Alina and Tan, Changhui and Yan, Bokai}, year={2018}, month={Aug}, pages={735–756} }
 @article{chertock_epshteyn_hu_kurganov_2018, title={High-order positivity-preserving hybrid finite-volume-finite-difference methods for chemotaxis systems}, volume={44}, ISSN={["1572-9044"]}, url={https://doi-org.prox.lib.ncsu.edu/10.1007/s10444-017-9545-9}, DOI={10.1007/s10444-017-9545-9}, number={1}, journal={ADVANCES IN COMPUTATIONAL MATHEMATICS}, author={Chertock, Alina and Epshteyn, Yekaterina and Hu, Hengrui and Kurganov, Alexander}, year={2018}, month={Feb}, pages={327–350} }
 @inbook{chertock_herty_özcan_2018, title={Well-Balanced Central-Upwind Schemes for 2x2 Systems of Balance Laws}, volume={236}, ISBN={9783319915449 9783319915456}, ISSN={2194-1009 2194-1017}, url={http://dx.doi.org/10.1007/978-3-319-91545-6_28}, DOI={10.1007/978-3-319-91545-6_28}, booktitle={Theory, Numerics and Applications of Hyperbolic Problems I}, publisher={Springer International Publishing}, author={Chertock, Alina and Herty, Michael and Özcan, Şeyma Nur}, year={2018}, pages={345–361} }
 @article{chertock_cui_kurganov_ozcan_tadmor_2018, title={Well-balanced schemes for the Euler equations with gravitation: Conservative formulation using global fluxes}, volume={358}, ISSN={["1090-2716"]}, url={https://doi-org.prox.lib.ncsu.edu/10.1016/j.jcp.2017.12.026}, DOI={10.1016/j.jcp.2017.12.026}, journal={JOURNAL OF COMPUTATIONAL PHYSICS}, author={Chertock, Alina and Cui, Shumo and Kurganov, Alexander and Ozcan, Seyma Nur and Tadmor, Eitan}, year={2018}, month={Apr}, pages={36–52} }
 @article{chertock_dudzinski_kurganov_lukacova-medvid'ova_2018, title={Well-balanced schemes for the shallow water equations with Coriolis forces}, volume={138}, ISSN={["0945-3245"]}, url={https://doi-org.prox.lib.ncsu.edu/10.1007/s00211-017-0928-0}, DOI={10.1007/s00211-017-0928-0}, number={4}, journal={NUMERISCHE MATHEMATIK}, author={Chertock, Alina and Dudzinski, Michael and Kurganov, Alexander and Lukacova-Medvid'ova, Maria}, year={2018}, month={Apr}, pages={939–973} }
 @inbook{chertock_2017, title={A Practical Guide to Deterministic Particle Methods}, volume={18}, ISBN={9780444639103}, ISSN={1570-8659}, url={http://dx.doi.org/10.1016/bs.hna.2016.11.004}, DOI={10.1016/bs.hna.2016.11.004}, booktitle={Handbook of Numerical Analysis}, publisher={Elsevier}, author={Chertock, A.}, year={2017}, pages={177–202} }
 @inbook{cheng_chertock_kurganov_2017, title={A Simple Finite-Volume Method on a Cartesian Mesh for Pedestrian Flows with Obstacles}, volume={199}, ISBN={9783319573960 9783319573977}, ISSN={2194-1009 2194-1017}, url={http://dx.doi.org/10.1007/978-3-319-57397-7_4}, DOI={10.1007/978-3-319-57397-7_4}, booktitle={Springer Proceedings in Mathematics & Statistics}, publisher={Springer International Publishing}, author={Cheng, Yuanzhen and Chertock, Alina and Kurganov, Alexander}, year={2017}, pages={43–55} }
 @article{chertock_degond_neusser_2017, title={An asymptotic-preserving method for a relaxation of the Navier-Stokes-Korteweg equations}, volume={335}, ISSN={["1090-2716"]}, url={https://doi-org.prox.lib.ncsu.edu/10.1016/j.jcp.2017.01.030}, DOI={10.1016/j.jcp.2017.01.030}, journal={JOURNAL OF COMPUTATIONAL PHYSICS}, author={Chertock, Alina and Degond, Pierre and Neusser, Jochen}, year={2017}, month={Apr}, pages={387–403} }
 @article{chertock_cui_kurganov_2017, title={Hybrid Finite-Volume-Particle Method for Dusty Gas Flows}, volume={3}, ISSN={2426-8399}, url={http://dx.doi.org/10.5802/smai-jcm.23}, DOI={10.5802/smai-jcm.23}, journal={SMAI Journal of Computational Mathematics}, publisher={Cellule MathDoc/CEDRAM}, author={Chertock, Alina and Cui, Shumo and Kurganov, Alexander}, year={2017}, pages={139–180} }
 @article{bernstein_chertock_kurganov_2016, title={Central-upwind scheme for shallow water equations with discontinuous bottom topography}, volume={47}, ISSN={["1678-7714"]}, url={https://doi-org.prox.lib.ncsu.edu/10.1007/s00574-016-0124-3}, DOI={10.1007/s00574-016-0124-3}, number={1}, journal={BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY}, author={Bernstein, Andrew and Chertock, Alina and Kurganov, Alexander}, year={2016}, month={Mar}, pages={91–103} }
 @article{carrillo_chertock_huang_2015, title={A Finite-Volume Method for Nonlinear Nonlocal Equations with a Gradient Flow Structure}, volume={17}, ISSN={["1991-7120"]}, url={https://doi-org.prox.lib.ncsu.edu/10.4208/cicp.160214.010814a}, DOI={10.4208/cicp.160214.010814a}, number={1}, journal={COMMUNICATIONS IN COMPUTATIONAL PHYSICS}, author={Carrillo, Jose A. and Chertock, Alina and Huang, Yanghong}, year={2015}, month={Jan}, pages={233–258} }
 @article{chertock_liu_pendleton_2015, title={Elastic collisions among peakon solutions for the Camassa-Holm equation}, volume={93}, ISSN={["1873-5460"]}, url={https://doi-org.prox.lib.ncsu.edu/10.1016/j.apnum.2014.01.001}, DOI={10.1016/j.apnum.2014.01.001}, journal={APPLIED NUMERICAL MATHEMATICS}, author={Chertock, Alina and Liu, Jian-Guo and Pendleton, Terrance}, year={2015}, month={Jul}, pages={30–46} }
 @article{chertock_cui_kurganov_wu_2015, title={Steady State and Sign Preserving Semi-Implicit Runge--Kutta Methods for ODEs with Stiff Damping Term}, volume={53}, ISSN={0036-1429 1095-7170}, url={http://dx.doi.org/10.1137/151005798}, DOI={10.1137/151005798}, number={4}, journal={SIAM Journal on Numerical Analysis}, publisher={Society for Industrial & Applied Mathematics (SIAM)}, author={Chertock, Alina and Cui, Shumo and Kurganov, Alexander and Wu, Tong}, year={2015}, month={Jan}, pages={2008–2029} }
 @article{chertock_cui_kurganov_wu_2015, title={Well-balanced positivity preserving central-upwind scheme for the shallow water system with friction terms}, volume={78}, ISSN={["1097-0363"]}, url={https://doi-org.prox.lib.ncsu.edu/10.1002/fld.4023}, DOI={10.1002/fld.4023}, number={6}, journal={INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS}, author={Chertock, A. and Cui, S. and Kurganov, A. and Wu, T.}, year={2015}, month={Jun}, pages={355–383} }
 @article{chertock_herty_kurganov_2014, title={An Eulerian-Lagrangian method for optimization problems governed by multidimensional nonlinear hyperbolic PDEs}, volume={59}, ISSN={["1573-2894"]}, url={https://doi-org.prox.lib.ncsu.edu/10.1007/s10589-014-9655-y}, DOI={10.1007/s10589-014-9655-y}, number={3}, journal={COMPUTATIONAL OPTIMIZATION AND APPLICATIONS}, author={Chertock, Alina and Herty, Michael and Kurganov, Alexander}, year={2014}, month={Dec}, pages={689–724} }
 @article{chertock_kurganov_liu_2014, title={Central-upwind schemes for the system of shallow water equations with horizontal temperature gradients}, volume={127}, ISSN={["0945-3245"]}, url={https://doi-org.prox.lib.ncsu.edu/10.1007/s00211-013-0597-6}, DOI={10.1007/s00211-013-0597-6}, number={4}, journal={NUMERISCHE MATHEMATIK}, author={Chertock, Alina and Kurganov, Alexander and Liu, Yu}, year={2014}, month={Aug}, pages={595–639} }
 @article{castro diaz_cheng_chertock_kurganov_2014, title={Solving Two-Mode Shallow Water Equations Using Finite Volume Methods}, volume={16}, ISSN={["1991-7120"]}, url={https://doi-org.prox.lib.ncsu.edu/10.4208/cicp.180513.230514a}, DOI={10.4208/cicp.180513.230514a}, number={5}, journal={COMMUNICATIONS IN COMPUTATIONAL PHYSICS}, author={Castro Diaz, Manuel Jesus and Cheng, Yuanzhen and Chertock, Alina and Kurganov, Alexander}, year={2014}, month={Nov}, pages={1323–1354} }
 @article{chertock_kurganov_polizzi_timofeyev_2013, title={PEDESTRIAN FLOW MODELS WITH SLOWDOWN INTERACTIONS}, volume={24}, ISSN={0218-2025 1793-6314}, url={http://dx.doi.org/10.1142/s0218202513400083}, DOI={10.1142/s0218202513400083}, abstractNote={ In this paper, we introduce and study one-dimensional models for the behavior of pedestrians in a narrow street or corridor. We begin at the microscopic level by formulating a stochastic cellular automata model with explicit rules for pedestrians moving in two opposite directions. Coarse-grained mesoscopic and macroscopic analogs are derived leading to the coupled system of PDEs for the density of the pedestrian traffic. The obtained first-order system of conservation laws is only conditionally hyperbolic. We also derive higher-order nonlinear diffusive corrections resulting in a parabolic macroscopic PDE model. Numerical experiments comparing and contrasting the behavior of the microscopic stochastic model and the resulting coarse-grained PDEs for various parameter settings and initial conditions are performed. These numerical experiments demonstrate that the nonlinear diffusion is essential for reproducing the behavior of the stochastic system in the nonhyperbolic regime. }, number={02}, journal={Mathematical Models and Methods in Applied Sciences}, publisher={World Scientific Pub Co Pte Lt}, author={Chertock, Alina and Kurganov, Alexander and Polizzi, Anthony and Timofeyev, Ilya}, year={2013}, month={Dec}, pages={249–275} }
 @article{chertock_kurganov_qu_wu_2013, title={Three-Layer Approximation of Two-Layer Shallow Water Equations}, volume={18}, ISSN={["1648-3510"]}, url={https://doi-org.prox.lib.ncsu.edu/10.3846/13926292.2013.869269}, DOI={10.3846/13926292.2013.869269}, number={5}, journal={MATHEMATICAL MODELLING AND ANALYSIS}, author={Chertock, Alina and Kurganov, Alexander and Qu, Zhuolin and Wu, Tong}, year={2013}, pages={675–693} }
 @article{chertock_liu_pendleton_2012, title={CONVERGENCE OF A PARTICLE METHOD AND GLOBAL WEAK SOLUTIONS OF A FAMILY OF EVOLUTIONARY PDES}, volume={50}, ISSN={["1095-7170"]}, url={https://doi-org.prox.lib.ncsu.edu/10.1137/110831386}, DOI={10.1137/110831386}, number={1}, journal={SIAM JOURNAL ON NUMERICAL ANALYSIS}, author={Chertock, Alina and Liu, Jian-Guo and Pendleton, Terrance}, year={2012}, pages={1–21} }
 @inbook{chertock_liu_pendleton_2012, title={Convergence Analysis of the Particle Method for the Camassa-Holm Equation}, volume={18}, ISBN={9789814417068 9789814417099}, ISSN={2010-2259}, url={http://dx.doi.org/10.1142/9789814417099_0033}, DOI={10.1142/9789814417099_0033}, booktitle={Series in Contemporary Applied Mathematics}, publisher={Co-Published with Higher Education Press}, author={Chertock, Alina and Liu, Jian-Guo and Pendleton, Terrance}, year={2012}, month={Dec}, pages={365–373} }
 @article{chertock_du toit_marsden_2012, title={INTEGRATION OF THE EPDIFF EQUATION BY PARTICLE METHODS}, volume={46}, ISSN={["0764-583X"]}, url={https://doi-org.prox.lib.ncsu.edu/10.1051/m2an/2011054}, DOI={10.1051/m2an/2011054}, number={3}, journal={ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE}, author={Chertock, Alina and Du Toit, Philip and Marsden, Jerrold Eldon}, year={2012}, pages={515–534} }
 @article{chertock_kurganov_wang_wu_2012, title={ON A CHEMOTAXIS MODEL WITH SATURATED CHEMOTACTIC FLUX}, volume={5}, ISSN={["1937-5093"]}, url={https://doi-org.prox.lib.ncsu.edu/10.3934/krm.2012.5.51}, DOI={10.3934/krm.2012.5.51}, number={1}, journal={KINETIC AND RELATED MODELS}, author={Chertock, Alina and Kurganov, Alexander and Wang, Xuefeng and Wu, Yaping}, year={2012}, month={Mar}, pages={51–95} }
 @article{chertock_fellner_kurganov_lorz_markowich_2012, title={Sinking, merging and stationary plumes in a coupled chemotaxis-fluid model: a high-resolution numerical approach}, volume={694}, ISSN={0022-1120 1469-7645}, url={http://dx.doi.org/10.1017/jfm.2011.534}, DOI={10.1017/jfm.2011.534}, abstractNote={Abstract}, journal={Journal of Fluid Mechanics}, publisher={Cambridge University Press (CUP)}, author={Chertock, A. and Fellner, K. and Kurganov, A. and Lorz, A. and Markowich, P. A.}, year={2012}, month={Feb}, pages={155–190} }
 @inbook{chertock_christov_kurganov_2011, title={Central-upwind schemes for Boussinesq paradigm equations}, volume={115}, url={https://doi-org.prox.lib.ncsu.edu/10.1007/978-3-642-17770-5_20}, DOI={10.1007/978-3-642-17770-5_20}, booktitle={Computational science and high performance computing IV}, publisher={Springer, Berlin}, author={Chertock, Alina and Christov, Christo I. and Kurganov, Alexander}, year={2011}, pages={267–281} }
 @article{chertock_doering_kashdan_kurganov_2010, title={A Fast Explicit Operator Splitting Method for Passive Scalar Advection}, volume={45}, ISSN={["1573-7691"]}, url={https://doi-org.prox.lib.ncsu.edu/10.1007/s10915-010-9381-2}, DOI={10.1007/s10915-010-9381-2}, number={1-3}, journal={JOURNAL OF SCIENTIFIC COMPUTING}, author={Chertock, Alina and Doering, Charles R. and Kashdan, Eugene and Kurganov, Alexander}, year={2010}, month={Oct}, pages={200–214} }
 @inbook{chertock_kurganov_2010, place={Roma}, title={On splitting-based numerical methods for convection-diffusion equations}, volume={24}, booktitle={Numerical Methods for Balance Laws, Quaderni di Matematica, Aracne editrice S.r.l}, author={Chertock, A. and Kurganov, A.}, year={2010}, pages={303} }
 @inbook{chertock_kurganov_2010, place={Caserta}, series={Quaderni di Matematica}, title={On splitting-based numerical methods for convection-diffusionequations}, volume={24}, booktitle={Numerical Methods for Balance Laws}, publisher={Dipartimento di matematica della Seconda Universitá di Napoli}, author={Chertock, A. and Kurganov, A.}, editor={Puppo, G. and Russo, G.Editors}, year={2010}, pages={303}, collection={Quaderni di Matematica} }
 @article{chertock_kurganov_2009, title={Computing multivalued solutions of pressureless gas dynamics
              by deterministic particle methods}, volume={5}, url={http://global-sci.org/intro/article_detail/cicp/7750.html}, number={2-4}, journal={Commun. Comput. Phys.}, author={Chertock, Alina and Kurganov, Alexander}, year={2009}, month={Feb}, pages={565–581} }
 @inproceedings{chertock_kurganov_2009, title={Computing multivalued solutions of pressureless gas dynamics by deterministic particle methods}, volume={5}, number={2-4}, booktitle={Communications in Computational Physics}, author={Chertock, A. and Kurganov, A.}, year={2009}, pages={565–581} }
 @article{chertock_kurganov_petrova_2009, title={Fast explicit operator splitting method for convection-diffusion equations}, volume={59}, ISSN={["1097-0363"]}, url={https://doi-org.prox.lib.ncsu.edu/10.1002/fld.1355}, DOI={10.1002/fld.1355}, number={3}, journal={INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS}, author={Chertock, Alina and Kurganov, Alexander and Petrova, Guergana}, year={2009}, month={Jan}, pages={309–332} }
 @inbook{chertock_kurganov_2009, title={On splitting-based numerical methods for convection-diffusion
              equations}, volume={24}, booktitle={Numerical methods for balance laws}, publisher={Dept. Math., Seconda Univ. Napoli, Caserta}, author={Chertock, Alina and Kurganov, Alexander}, year={2009}, pages={303–343} }
 @article{chertock_kurganov_2008, title={A SIMPLE EULERIAN FINITE-VOLUME METHOD FOR COMPRESSIBLE FLUIDS IN DOMAINS WITH MOVING BOUNDARIES}, volume={6}, ISSN={["1539-6746"]}, url={http://projecteuclid.org.prox.lib.ncsu.edu/euclid.cms/1222716944}, DOI={10.4310/CMS.2008.v6.n3.a1}, number={3}, journal={COMMUNICATIONS IN MATHEMATICAL SCIENCES}, author={Chertock, Alina and Kurganov, Alexander}, year={2008}, month={Sep}, pages={531–556} }
 @article{chertock_kurganov_2008, title={A second-order positivity preserving central-upwind scheme for chemotaxis and haptotaxis models}, volume={111}, ISSN={["0945-3245"]}, url={https://doi-org.prox.lib.ncsu.edu/10.1007/s00211-008-0188-0}, DOI={10.1007/s00211-008-0188-0}, number={2}, journal={NUMERISCHE MATHEMATIK}, author={Chertock, Alina and Kurganov, Alexander}, year={2008}, month={Dec}, pages={169–205} }
 @article{chertock_karni_kurganov_2008, title={INTERFACE TRACKING METHOD FOR COMPRESSIBLE MULTIFLUIDS}, volume={42}, ISSN={["1290-3841"]}, url={https://doi-org.prox.lib.ncsu.edu/10.1051/m2an:2008036}, DOI={10.1051/m2an:2008036}, number={6}, journal={ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE}, author={Chertock, Alina and Karni, Smadar and Kurganov, Alexander}, year={2008}, pages={991–1019} }
 @article{chertock_gottlieb_solomonoff_2008, title={Modified Optimal Prediction and its Application to a Particle-Method Problem}, volume={37}, ISSN={["1573-7691"]}, url={https://doi-org.prox.lib.ncsu.edu/10.1007/s10915-008-9242-4}, DOI={10.1007/s10915-008-9242-4}, number={2}, journal={JOURNAL OF SCIENTIFIC COMPUTING}, author={Chertock, Alina and Gottlieb, David and Solomonoff, Alex}, year={2008}, month={Nov}, pages={189–201} }
 @inbook{chertock_kashdan_kurganov_benzonigavage_serre_2008, title={Propagation of Diffusing Pollutant by a Hybrid Eulerian–Lagrangian Method}, ISBN={9783540757115 9783540757122}, url={http://dx.doi.org/10.1007/978-3-540-75712-2_33}, DOI={10.1007/978-3-540-75712-2_33}, booktitle={Hyperbolic Problems: Theory, Numerics, Applications}, publisher={Springer Berlin Heidelberg}, author={Chertock, Alina and Kashdan, E. and Kurganov, A. and BenzoniGavage, S and Serre, D}, year={2008}, pages={371–379} }
 @article{chertock_kurganov_rykov_2007, title={A new sticky particle method for pressureless gas dynamics}, volume={45}, ISSN={["1095-7170"]}, url={https://doi-org.prox.lib.ncsu.edu/10.1137/050644124}, DOI={10.1137/050644124}, number={6}, journal={SIAM JOURNAL ON NUMERICAL ANALYSIS}, author={Chertock, Alina and Kurganov, Alexander and Rykov, Yurii}, year={2007}, pages={2408–2441} }
 @article{chertock_kurganov_petrova_2006, title={Finite-volume-particle methods for models of transport of pollutant in shallow water}, volume={27}, ISSN={["1573-7691"]}, url={https://doi-org.prox.lib.ncsu.edu/10.1007/s10915-005-9060-x}, DOI={10.1007/s10915-005-9060-x}, number={1-3}, journal={JOURNAL OF SCIENTIFIC COMPUTING}, author={Chertock, Alina and Kurganov, Alexander and Petrova, Guergana}, year={2006}, month={Jun}, pages={189–199} }
 @article{chertock_kurganov_2006, title={On a practical implementation of particle methods}, volume={56}, ISSN={["1873-5460"]}, url={https://doi-org.prox.lib.ncsu.edu/10.1016/j.apnum.2006.03.024}, DOI={10.1016/j.apnum.2006.03.024}, number={10-11}, journal={APPLIED NUMERICAL MATHEMATICS}, author={Chertock, Alina and Kurganov, Alexander}, year={2006}, pages={1418–1431} }
 @inbook{chertock_kurganov_2005, title={Conservative locally moving mesh method for multifluid flows}, booktitle={Finite Volumes for Complex Applications IV}, publisher={ISTE, London}, author={Chertock, A. and Kurganov, A.}, year={2005}, pages={273–284} }
 @inbook{chertock_kurganov_petrova_2005, title={Fast explicit operator splitting method. Application to the polymer system}, volume={IV}, booktitle={Finite Volumes for Complex Applications IV}, publisher={ISTE, London}, author={Chertock, A. and Kurganov, A. and Petrova, G.}, year={2005}, pages={63–72} }
 @article{chertock_kurganov_rosenau_2005, title={On degenerate saturated-diffusion equations with convection}, volume={18}, ISSN={["1361-6544"]}, url={https://doi-org.prox.lib.ncsu.edu/10.1088/0951-7715/18/2/009}, DOI={10.1088/0951-7715/18/2/009}, number={2}, journal={NONLINEARITY}, author={Chertock, A and Kurganov, A and Rosenau, P}, year={2005}, month={Mar}, pages={609–630} }
 @article{chertock_levy_2005, title={On wavelet-based numerical homogenization}, volume={3}, ISSN={["1540-3459"]}, url={https://doi-org.prox.lib.ncsu.edu/10.1137/030600783}, DOI={10.1137/030600783}, number={1}, journal={MULTISCALE MODELING & SIMULATION}, author={Chertock, A and Levy, D}, year={2005}, pages={65–88} }
 @article{chertock_kurganov_2004, title={On a hybrid finite-volume-particle method}, volume={38}, ISSN={["1290-3841"]}, url={https://doi-org.prox.lib.ncsu.edu/10.1051/m2an:2004051}, DOI={10.1051/m2an:2004051}, number={6}, journal={ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE}, author={Chertock, A and Kurganov, A}, year={2004}, pages={1071–1091} }
 @article{chertock_kurganov_rosenau_2003, title={Formation of discontinuities in flux-saturated degenerate parabolic equations}, volume={16}, ISSN={["0951-7715"]}, url={https://doi-org.prox.lib.ncsu.edu/10.1088/0951-7715/16/6/301}, DOI={10.1088/0951-7715/16/6/301}, number={6}, journal={NONLINEARITY}, author={Chertock, A and Kurganov, A and Rosenau, P}, year={2003}, month={Nov}, pages={1875–1898} }
 @article{chertock_levy_2002, title={A Particle Method for the KdV Equation}, volume={17}, url={https://doi-org.prox.lib.ncsu.edu/10.1023/A:1015106210404}, DOI={10.1023/A:1015106210404}, number={1-4}, journal={Journal of Scientific Computing}, author={Chertock, Alina and Levy, Doron}, year={2002}, pages={491–499} }
 @article{chertock_2002, title={On the stability of a class of self-similar solutions to the filtration-absorption equation}, volume={13}, ISSN={0956-7925 1469-4425}, url={http://dx.doi.org/10.1017/s095679250100482x}, DOI={10.1017/s095679250100482x}, abstractNote={We consider the one-dimensional and two-dimensional filtration-absorption equation <jats:italic>u</jats:italic><jats:sub><jats:italic>t</jats:italic></jats:sub> 
= <jats:italic>u</jats:italic>Δ<jats:italic>u</jats:italic>−(<jats:italic>c</jats:italic>−1)(∇<jats:italic>u</jats:italic>)<jats:sup>2</jats:sup>. The one-dimensional 
case was considered previously by Barenblatt <jats:italic>et al</jats:italic>. [4], 
where a special class of self-similar solutions was introduced. By the analogy with the 1D 
case we construct a family of axisymmetric solutions in 2D. We demonstrate numerically that 
the self-similar solutions obtained attract the solutions of non-self-similar Cauchy problems 
having the initial condition of compact support. The main analytical result we provide is the 
linear stability of the above self-similar solutions both in the 1D case and in the 2D case.}, number={2}, journal={European Journal of Applied Mathematics}, publisher={Cambridge University Press (CUP)}, author={Chertock, Alina}, year={2002}, month={Apr}, pages={179–194} }
 @article{chertock_levy_2002, title={Particle methods for the KdV equation}, volume={17}, journal={Journal of Scientific Computing}, author={Chertock, A. and Levy, D.}, year={2002}, pages={491–499} }
 @article{chertock_levy_2001, title={Particle Methods for Dispersive Equations}, volume={171}, ISSN={0021-9991}, url={http://dx.doi.org/10.1006/jcph.2001.6803}, DOI={10.1006/jcph.2001.6803}, number={2}, journal={Journal of Computational Physics}, publisher={Elsevier BV}, author={Chertock, Alina and Levy, Doron}, year={2001}, month={Aug}, pages={708–730} }
 @article{barenblatt_bertsch_chertock_prostokishin_2000, title={Self-similar intermediate asymptotics for a degenerate parabolic filtration-absorption equation}, volume={97}, ISSN={0027-8424 1091-6490}, url={http://dx.doi.org/10.1073/pnas.97.18.9844}, DOI={10.1073/pnas.97.18.9844}, number={18}, journal={Proceedings of the National Academy of Sciences}, publisher={Proceedings of the National Academy of Sciences}, author={Barenblatt, G. I. and Bertsch, M. and Chertock, A. E. and Prostokishin, V. M.}, year={2000}, month={Aug}, pages={9844–9848} }
 @article{abarbanel_chertock_2000, title={Strict Stability of High-Order Compact Implicit Finite-Difference Schemes: The Role of Boundary Conditions for Hyperbolic PDEs, I}, volume={160}, ISSN={0021-9991}, url={http://dx.doi.org/10.1006/jcph.2000.6420}, DOI={10.1006/jcph.2000.6420}, number={1}, journal={Journal of Computational Physics}, publisher={Elsevier BV}, author={Abarbanel, Saul S. and Chertock, Alina E.}, year={2000}, month={May}, pages={42–66} }
 @article{abarbanel_chertock_yefet_2000, title={Strict Stability of High-Order Compact Implicit Finite-Difference Schemes: The Role of Boundary Conditions for Hyperbolic PDEs, II}, volume={160}, ISSN={0021-9991}, url={http://dx.doi.org/10.1006/jcph.2000.6421}, DOI={10.1006/jcph.2000.6421}, number={1}, journal={Journal of Computational Physics}, publisher={Elsevier BV}, author={Abarbanel, Saul S. and Chertock, Alina E. and Yefet, Amir}, year={2000}, month={May}, pages={67–87} }
 @article{karamzin_trofimov_chertok_1991, title={An algorithm for the numerical solution of equations
              describing processes in photoreceivers}, volume={3}, number={10}, journal={Mat. Model.}, author={Karamzin, Yu. N. and Trofimov, V. A. and Chertok, A. È.}, year={1991}, pages={95–103} }
 @article{chertock_karamzin_trofimov_1991, title={On a numerical algorithm for nonlinear differential equations describing some processes in photoreceivers}, volume={3}, journal={Journal of Mathematical Modeling}, author={Chertock, A. and Karamzin, Y. and Trofimov, V.}, year={1991}, pages={95–103} }