Cao, Yangyang; Kurganov, Alexander; Liu, Yongle Flux globalization based well-balanced path-conservative central-upwind scheme for the thermal rotating shallow water equations. (English) Zbl 07783917 Commun. Comput. Phys. 34, No. 4, 993-1042 (2023). MSC: 76M12 65M08 86-08 86-10 86A10 35L67 PDFBibTeX XMLCite \textit{Y. Cao} et al., Commun. Comput. Phys. 34, No. 4, 993--1042 (2023; Zbl 07783917) Full Text: DOI
Chu, Shaoshuai; Kovyrkina, Olyana A.; Kurganov, Alexander; Ostapenko, Vladimir V. Experimental convergence rate study for three shock-capturing schemes and development of highly accurate combined schemes. (English) Zbl 07769119 Numer. Methods Partial Differ. Equations 39, No. 6, 4317-4346 (2023). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{S. Chu} et al., Numer. Methods Partial Differ. Equations 39, No. 6, 4317--4346 (2023; Zbl 07769119) Full Text: DOI arXiv
Kurganov, Alexander; Xin, Ruixiao New low-dissipation central-upwind schemes. (English) Zbl 1522.76048 J. Sci. Comput. 96, No. 2, Paper No. 56, 33 p. (2023). Reviewer: Noureddine Daili (Sétif) MSC: 76M12 76N15 65M08 PDFBibTeX XMLCite \textit{A. Kurganov} and \textit{R. Xin}, J. Sci. Comput. 96, No. 2, Paper No. 56, 33 p. (2023; Zbl 1522.76048) Full Text: DOI
Chen, Xi; Kurganov, Alexander A well-balanced partial relaxation scheme for the two-dimensional Saint-Venant system. (English) Zbl 1519.76166 Commun. Comput. Phys. 33, No. 5, 1432-1465 (2023). MSC: 76M12 76B10 86A05 PDFBibTeX XMLCite \textit{X. Chen} and \textit{A. Kurganov}, Commun. Comput. Phys. 33, No. 5, 1432--1465 (2023; Zbl 1519.76166) Full Text: DOI
Chen, Xi; Kurganov, Alexander; Liu, Yongle Flux globalization based well-balanced central-upwind schemes for hydrodynamic equations with general free energy. (English) Zbl 1519.76167 J. Sci. Comput. 95, No. 3, Paper No. 95, 38 p. (2023). MSC: 76M12 76N15 PDFBibTeX XMLCite \textit{X. Chen} et al., J. Sci. Comput. 95, No. 3, Paper No. 95, 38 p. (2023; Zbl 1519.76167) Full Text: DOI
Chertock, Alina; Kurganov, Alexander; Wu, Tong; Yan, Jun Well-balanced numerical method for atmospheric flow equations with gravity. (English) Zbl 07689959 Appl. Math. Comput. 439, Article ID 127587, 13 p. (2023). MSC: 76M12 65M08 86-08 35L65 PDFBibTeX XMLCite \textit{A. Chertock} et al., Appl. Math. Comput. 439, Article ID 127587, 13 p. (2023; Zbl 07689959) Full Text: DOI
Chen, Yiming; Kurganov, Alexander; Na, Mingye A flux globalization based well-balanced path-conservative central-upwind scheme for the shallow water flows in channels. (English) Zbl 1524.76239 ESAIM, Math. Model. Numer. Anal. 57, No. 2, 1087-1110 (2023). MSC: 76M12 65M08 86-08 35L65 35L67 76B10 PDFBibTeX XMLCite \textit{Y. Chen} et al., ESAIM, Math. Model. Numer. Anal. 57, No. 2, 1087--1110 (2023; Zbl 1524.76239) Full Text: DOI
Wang, Bao-Shan; Don, Wai Sun; Kurganov, Alexander; Liu, Yongle Fifth-order A-WENO schemes based on the adaptive diffusion central-upwind Rankine-Hugoniot fluxes. (English) Zbl 1524.65406 Commun. Appl. Math. Comput. 5, No. 1, 295-314 (2023). MSC: 65M06 76M20 65M08 76M12 76N15 76L05 35L65 35Q35 65N08 65N06 PDFBibTeX XMLCite \textit{B.-S. Wang} et al., Commun. Appl. Math. Comput. 5, No. 1, 295--314 (2023; Zbl 1524.65406) Full Text: DOI
Cao, Yangyang; Kurganov, Alexander; Liu, Yongle; Zeitlin, Vladimir Flux globalization based well-balanced path-conservative central-upwind scheme for two-layer thermal rotating shallow water equations. (English) Zbl 07640547 J. Comput. Phys. 474, Article ID 111790, 29 p. (2023). MSC: 65Mxx 35Lxx 76Mxx PDFBibTeX XMLCite \textit{Y. Cao} et al., J. Comput. Phys. 474, Article ID 111790, 29 p. (2023; Zbl 07640547) Full Text: DOI
Kurganov, Alexander; Liu, Yongle; Xin, Ruixiao Well-balanced path-conservative central-upwind schemes based on flux globalization. (English) Zbl 07640539 J. Comput. Phys. 474, Article ID 111773, 32 p. (2023). MSC: 65Mxx 35Lxx 76Mxx PDFBibTeX XMLCite \textit{A. Kurganov} et al., J. Comput. Phys. 474, Article ID 111773, 32 p. (2023; Zbl 07640539) Full Text: DOI
Chu, Shaoshuai; Kurganov, Alexander Flux globalization based well-balanced central-upwind scheme for one-dimensional blood flow models. (English) Zbl 1504.65184 Calcolo 60, No. 1, Paper No. 2, 35 p. (2023). Reviewer: Abdallah Bradji (Annaba) MSC: 65M08 65M06 65M20 65L05 65N08 76M12 76M20 76N15 76Z05 92C35 35L65 35L67 PDFBibTeX XMLCite \textit{S. Chu} and \textit{A. Kurganov}, Calcolo 60, No. 1, Paper No. 2, 35 p. (2023; Zbl 1504.65184) Full Text: DOI
Chertock, Alina; Chu, Shaoshuai; Herty, Michael; Kurganov, Alexander; Lukáčová-Medvid’ová, Mária Local characteristic decomposition based central-upwind scheme. (English) Zbl 07625389 J. Comput. Phys. 473, Article ID 111718, 24 p. (2023). MSC: 65Mxx 35Lxx 76Mxx PDFBibTeX XMLCite \textit{A. Chertock} et al., J. Comput. Phys. 473, Article ID 111718, 24 p. (2023; Zbl 07625389) Full Text: DOI arXiv
Chu, Shaoshuai; Kurganov, Alexander; Na, Mingye Fifth-order A-WENO schemes based on the path-conservative central-upwind method. (English) Zbl 07592126 J. Comput. Phys. 469, Article ID 111508, 22 p. (2022). MSC: 65Mxx 35Lxx 76Mxx PDFBibTeX XMLCite \textit{S. Chu} et al., J. Comput. Phys. 469, Article ID 111508, 22 p. (2022; Zbl 07592126) Full Text: DOI
Kurganov, Alexander; Qu, Zhuolin; Wu, Tong Well-balanced positivity preserving adaptive moving mesh central-upwind schemes for the Saint-Venant system. (English) Zbl 1501.65050 ESAIM, Math. Model. Numer. Anal. 56, No. 4, 1327-1360 (2022). Reviewer: Abdallah Bradji (Annaba) MSC: 65M08 65M06 65N08 65M50 76M12 76B15 86-08 35L65 35L67 35Q35 PDFBibTeX XMLCite \textit{A. Kurganov} et al., ESAIM, Math. Model. Numer. Anal. 56, No. 4, 1327--1360 (2022; Zbl 1501.65050) Full Text: DOI
Cao, Yangyang; Kurganov, Alexander; Liu, Yongle; Xin, Ruixiao Flux globalization based well-balanced path-conservative central-upwind schemes for shallow water models. (English) Zbl 1492.76083 J. Sci. Comput. 92, No. 2, Paper No. 69, 31 p. (2022). MSC: 76M12 65M08 86-08 35L65 35L67 PDFBibTeX XMLCite \textit{Y. Cao} et al., J. Sci. Comput. 92, No. 2, Paper No. 69, 31 p. (2022; Zbl 1492.76083) Full Text: DOI
Kurganov, Alexander; Liu, Yongle; Lukáčová-Medviďová, Mária A well-balanced asymptotic preserving scheme for the two-dimensional rotating shallow water equations with nonflat bottom topography. (English) Zbl 07556265 SIAM J. Sci. Comput. 44, No. 3, A1655-A1680 (2022). MSC: 76M12 76U05 65M08 PDFBibTeX XMLCite \textit{A. Kurganov} et al., SIAM J. Sci. Comput. 44, No. 3, A1655--A1680 (2022; Zbl 07556265) Full Text: DOI
Chertock, Alina; Kurganov, Alexander; Liu, Xin; Liu, Yongle; Wu, Tong Well-balancing via flux globalization: applications to shallow water equations with wet/dry fronts. (English) Zbl 1492.76084 J. Sci. Comput. 90, No. 1, Paper No. 9, 21 p. (2022). MSC: 76M12 65M08 86-08 35L65 PDFBibTeX XMLCite \textit{A. Chertock} et al., J. Sci. Comput. 90, No. 1, Paper No. 9, 21 p. (2022; Zbl 1492.76084) Full Text: DOI
Garg, Naveen Kumar; Kurganov, Alexander; Liu, Yongle Semi-discrete central-upwind Rankine-Hugoniot schemes for hyperbolic systems of conservation laws. (English) Zbl 07511432 J. Comput. Phys. 428, Article ID 110078, 18 p. (2021). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{N. K. Garg} et al., J. Comput. Phys. 428, Article ID 110078, 18 p. (2021; Zbl 07511432) Full Text: DOI
Kurganov, Alexander; Liu, Yongle; Zeitlin, Vladimir Thermal versus isothermal rotating shallow water equations: comparison of dynamical processes by simulations with a novel well-balanced central-upwind scheme. (English) Zbl 1482.76087 Geophys. Astrophys. Fluid Dyn. 115, No. 2, 125-154 (2021). MSC: 76M20 65M06 76U60 PDFBibTeX XMLCite \textit{A. Kurganov} et al., Geophys. Astrophys. Fluid Dyn. 115, No. 2, 125--154 (2021; Zbl 1482.76087) Full Text: DOI
Kurganov, Alexander; Qu, Zhuolin; Rozanova, Olga S.; Wu, Tong Adaptive moving mesh central-upwind schemes for hyperbolic system of PDEs: applications to compressible Euler equations and granular hydrodynamics. (English) Zbl 1499.65460 Commun. Appl. Math. Comput. 3, No. 3, 445-479 (2021). MSC: 65M08 65M50 76M12 35L65 35L67 35Q31 76N15 76T25 PDFBibTeX XMLCite \textit{A. Kurganov} et al., Commun. Appl. Math. Comput. 3, No. 3, 445--479 (2021; Zbl 1499.65460) Full Text: DOI
Chertock, Alina; Chu, Shaoshuai; Kurganov, Alexander Hybrid multifluid algorithms based on the path-conservative central-upwind scheme. (English) Zbl 1493.76068 J. Sci. Comput. 89, No. 2, Paper No. 48, 24 p. (2021). Reviewer: Mária Lukáčová (Mainz) MSC: 76M12 76M20 76M99 76N15 76T99 PDFBibTeX XMLCite \textit{A. Chertock} et al., J. Sci. Comput. 89, No. 2, Paper No. 48, 24 p. (2021; Zbl 1493.76068) Full Text: DOI
Kurganov, Alexander; Liu, Yongle; Zeitlin, Vladimir Numerical dissipation switch for two-dimensional central-upwind schemes. (English) Zbl 1485.76058 ESAIM, Math. Model. Numer. Anal. 55, No. 3, 713-734 (2021). MSC: 76M12 76N15 76U05 PDFBibTeX XMLCite \textit{A. Kurganov} et al., ESAIM, Math. Model. Numer. Anal. 55, No. 3, 713--734 (2021; Zbl 1485.76058) Full Text: DOI
Chertock, Alina; Kurganov, Alexander; Liu, Yongle Finite-volume-particle methods for the two-component Camassa-Holm system. (English) Zbl 1473.65135 Commun. Comput. Phys. 27, No. 2, 480-502 (2020). MSC: 65M08 35Q35 76M12 76M28 76M99 86-08 86A15 PDFBibTeX XMLCite \textit{A. Chertock} et al., Commun. Comput. Phys. 27, No. 2, 480--502 (2020; Zbl 1473.65135) Full Text: DOI
Ghazizadeh, Mohammad A.; Mohammadian, Abdolmajid; Kurganov, Alexander An adaptive well-balanced positivity preserving central-upwind scheme on quadtree grids for shallow water equations. (English) Zbl 1502.76015 Comput. Fluids 208, Article ID 104633, 20 p. (2020). MSC: 76B15 65M06 76M20 PDFBibTeX XMLCite \textit{M. A. Ghazizadeh} et al., Comput. Fluids 208, Article ID 104633, 20 p. (2020; Zbl 1502.76015) Full Text: DOI arXiv
Liu, Xin; Chen, Xi; Jin, Shi; Kurganov, Alexander; Wu, Tong; Yu, Hui Moving-water equilibria preserving partial relaxation scheme for the Saint-Venant system. (English) Zbl 1446.76133 SIAM J. Sci. Comput. 42, No. 4, A2206-A2229 (2020). MSC: 76M12 76B15 65M08 86A05 PDFBibTeX XMLCite \textit{X. Liu} et al., SIAM J. Sci. Comput. 42, No. 4, A2206--A2229 (2020; Zbl 1446.76133) Full Text: DOI
Kurganov, Alexander; Liu, Yongle; Zeitlin, Vladimir A well-balanced central-upwind scheme for the thermal rotating shallow water equations. (English) Zbl 1436.65123 J. Comput. Phys. 411, Article ID 109414, 23 p. (2020). MSC: 65M08 65Z05 86A05 86A10 PDFBibTeX XMLCite \textit{A. Kurganov} et al., J. Comput. Phys. 411, Article ID 109414, 23 p. (2020; Zbl 1436.65123) Full Text: DOI arXiv
Liu, Xin; Chertock, Alina; Kurganov, Alexander An asymptotic preserving scheme for the two-dimensional shallow water equations with Coriolis forces. (English) Zbl 1452.65192 J. Comput. Phys. 391, 259-279 (2019). MSC: 65M08 86A05 86A10 65Z05 65M06 PDFBibTeX XMLCite \textit{X. Liu} et al., J. Comput. Phys. 391, 259--279 (2019; Zbl 1452.65192) Full Text: DOI
Chertock, Alina; Kurganov, Alexander High-resolution positivity and asymptotic preserving numerical methods for chemotaxis and related models. (English) Zbl 1453.92047 Bellomo, Nicola (ed.) et al., Active particles, Volume 2. Advances in theory, models, and applications. Cham: Birkhäuser. Model. Simul. Sci. Eng. Technol., 109-148 (2019). MSC: 92C17 92C15 35Q92 65M06 65M08 92-02 PDFBibTeX XMLCite \textit{A. Chertock} and \textit{A. Kurganov}, in: Active particles, Volume 2. Advances in theory, models, and applications. Cham: Birkhäuser. 109--148 (2019; Zbl 1453.92047) Full Text: DOI
Chertock, Alina; Kurganov, Alexander; Ricchiuto, Mario; Wu, Tong Adaptive moving mesh upwind scheme for the two-species chemotaxis model. (English) Zbl 1442.92014 Comput. Math. Appl. 77, No. 12, 3172-3185 (2019). MSC: 92C17 65M08 35K51 PDFBibTeX XMLCite \textit{A. Chertock} et al., Comput. Math. Appl. 77, No. 12, 3172--3185 (2019; Zbl 1442.92014) Full Text: DOI HAL
Liu, Xin; Chertock, Alina; Kurganov, Alexander; Wolfkill, Karlan One-dimensional/two-dimensional coupling approach with quadrilateral confluence region for modeling river systems. (English) Zbl 1429.86003 J. Sci. Comput. 81, No. 3, 1297-1328 (2019). MSC: 86A05 86-08 76M12 65M08 35L65 PDFBibTeX XMLCite \textit{X. Liu} et al., J. Sci. Comput. 81, No. 3, 1297--1328 (2019; Zbl 1429.86003) Full Text: DOI
Díaz, Manuel Jesús Castro; Kurganov, Alexander; de Luna, Tomás Morales Path-conservative central-upwind schemes for nonconservative hyperbolic systems. (English) Zbl 1418.76034 ESAIM, Math. Model. Numer. Anal. 53, No. 3, 959-985 (2019). MSC: 76M12 65M08 35L65 35L67 86-08 PDFBibTeX XMLCite \textit{M. J. C. Díaz} et al., ESAIM, Math. Model. Numer. Anal. 53, No. 3, 959--985 (2019; Zbl 1418.76034) Full Text: DOI
Cheng, Yuanzhen; Chertock, Alina; Herty, Michael; Kurganov, Alexander; Wu, Tong A new approach for designing moving-water equilibria preserving schemes for the shallow water equations. (English) Zbl 1418.76033 J. Sci. Comput. 80, No. 1, 538-554 (2019). MSC: 76M12 65M08 35L65 86-08 86A05 PDFBibTeX XMLCite \textit{Y. Cheng} et al., J. Sci. Comput. 80, No. 1, 538--554 (2019; Zbl 1418.76033) Full Text: DOI
Chertock, Alina; Kurganov, Alexander; Lukáčová-Medviďová, Mária; Özcan, Şeyma Nur An asymptotic preserving scheme for kinetic chemotaxis models in two space dimensions. (English) Zbl 1407.92027 Kinet. Relat. Models 12, No. 1, 195-216 (2019). MSC: 92C17 35Q20 35Q92 PDFBibTeX XMLCite \textit{A. Chertock} et al., Kinet. Relat. Models 12, No. 1, 195--216 (2019; Zbl 1407.92027) Full Text: DOI
Chertock, Alina; Coco, Armando; Kurganov, Alexander; Russo, Giovanni A second-order finite-difference method for compressible fluids in domains with moving boundaries. (English) Zbl 1488.76097 Commun. Comput. Phys. 23, No. 1, 230-263 (2018). MSC: 76M20 65M06 65M20 76N99 PDFBibTeX XMLCite \textit{A. Chertock} et al., Commun. Comput. Phys. 23, No. 1, 230--263 (2018; Zbl 1488.76097) Full Text: DOI
Kurganov, Alexander Finite-volume schemes for shallow-water equations. (English) Zbl 1430.76372 Acta Numerica 27, 289-351 (2018). MSC: 76M12 65M08 35L65 76B15 76-02 PDFBibTeX XMLCite \textit{A. Kurganov}, Acta Numerica 27, 289--351 (2018; Zbl 1430.76372) Full Text: DOI
Liu, Xin; Albright, Jason; Epshteyn, Yekaterina; Kurganov, Alexander Well-balanced positivity preserving central-upwind scheme with a novel wet/dry reconstruction on triangular grids for the Saint-Venant system. (English) Zbl 1416.65295 J. Comput. Phys. 374, 213-236 (2018). MSC: 65M08 76M12 35Q86 PDFBibTeX XMLCite \textit{X. Liu} et al., J. Comput. Phys. 374, 213--236 (2018; Zbl 1416.65295) Full Text: DOI
Chertock, Alina; Dudzinski, Michael; Kurganov, Alexander; Lukáčová-Medvid’ová, Mária Well-balanced schemes for the shallow water equations with Coriolis forces. (English) Zbl 1448.65097 Numer. Math. 138, No. 4, 939-973 (2018). MSC: 65M06 65N08 35L45 35L65 65M25 65M15 76B15 76U60 76U65 35Q86 86A05 65J10 PDFBibTeX XMLCite \textit{A. Chertock} et al., Numer. Math. 138, No. 4, 939--973 (2018; Zbl 1448.65097) Full Text: DOI
Chertock, Alina; Cui, Shumo; Kurganov, Alexander; Özcan, Şeyma Nur; Tadmor, Eitan Well-balanced schemes for the Euler equations with gravitation: conservative formulation using global fluxes. (English) Zbl 1381.76316 J. Comput. Phys. 358, 36-52 (2018). MSC: 76N15 76M12 PDFBibTeX XMLCite \textit{A. Chertock} et al., J. Comput. Phys. 358, 36--52 (2018; Zbl 1381.76316) Full Text: DOI arXiv
Chertock, Alina; Epshteyn, Yekaterina; Hu, Hengrui; Kurganov, Alexander High-order positivity-preserving hybrid finite-volume-finite-difference methods for chemotaxis systems. (English) Zbl 1380.92011 Adv. Comput. Math. 44, No. 1, 327-350 (2018). MSC: 92C17 65M06 65M08 65M12 35M10 PDFBibTeX XMLCite \textit{A. Chertock} et al., Adv. Comput. Math. 44, No. 1, 327--350 (2018; Zbl 1380.92011) Full Text: DOI
Chertock, Alina; Cui, Shumo; Kurganov, Alexander Hybrid finite-volume-particle method for dusty gas flows. (English) Zbl 1416.76143 SMAI J. Comput. Math. 3, 139-180 (2017). MSC: 76M12 76M28 65M08 86-08 76T15 PDFBibTeX XMLCite \textit{A. Chertock} et al., SMAI J. Comput. Math. 3, 139--180 (2017; Zbl 1416.76143) Full Text: DOI
Liu, Xin; Mohammadian, Abdolmajid; Infante Sedano, Julio Ángel; Kurganov, Alexander Three-dimensional shallow water system: a relaxation approach. (English) Zbl 1375.35385 J. Comput. Phys. 333, 160-179 (2017). MSC: 35Q35 76M12 PDFBibTeX XMLCite \textit{X. Liu} et al., J. Comput. Phys. 333, 160--179 (2017; Zbl 1375.35385) Full Text: DOI
Kurganov, Alexander; Prugger, Martina; Wu, Tong Second-order fully discrete central-upwind scheme for two-dimensional hyperbolic systems of conservation laws. (English) Zbl 1364.76117 SIAM J. Sci. Comput. 39, No. 3, A947-A965 (2017). MSC: 76M12 65M08 35L65 PDFBibTeX XMLCite \textit{A. Kurganov} et al., SIAM J. Sci. Comput. 39, No. 3, A947--A965 (2017; Zbl 1364.76117) Full Text: DOI
Beljadid, Abdelaziz; Mohammadian, Abdolmajid; Kurganov, Alexander Well-balanced positivity preserving cell-vertex central-upwind scheme for shallow water flows. (English) Zbl 1390.76395 Comput. Fluids 136, 193-206 (2016). MSC: 76M12 65M08 76B15 PDFBibTeX XMLCite \textit{A. Beljadid} et al., Comput. Fluids 136, 193--206 (2016; Zbl 1390.76395) Full Text: DOI
Shirkhani, Hamidreza; Mohammadian, Abdolmajid; Seidou, Ousmane; Kurganov, Alexander A well-balanced positivity-preserving central-upwind scheme for shallow water equations on unstructured quadrilateral grids. (English) Zbl 1390.76516 Comput. Fluids 126, 25-40 (2016). MSC: 76M12 65M08 76B15 PDFBibTeX XMLCite \textit{H. Shirkhani} et al., Comput. Fluids 126, 25--40 (2016; Zbl 1390.76516) Full Text: DOI
Bernstein, Andrew; Chertock, Alina; Kurganov, Alexander Central-upwind scheme for shallow water equations with discontinuous bottom topography. (English) Zbl 1338.76072 Bull. Braz. Math. Soc. (N.S.) 47, No. 1, 91-103 (2016). MSC: 76M12 65M08 35L65 86-08 86A05 76B15 35Q35 PDFBibTeX XMLCite \textit{A. Bernstein} et al., Bull. Braz. Math. Soc. (N.S.) 47, No. 1, 91--103 (2016; Zbl 1338.76072) Full Text: DOI
Liu, Xin; Mohammadian, Abdolmajid; Kurganov, Alexander; Infante Sedano, Julio Angel Well-balanced central-upwind scheme for a fully coupled shallow water system modeling flows over erodible bed. (English) Zbl 1349.76357 J. Comput. Phys. 300, 202-218 (2015). MSC: 76M12 65M08 76D99 76T20 PDFBibTeX XMLCite \textit{X. Liu} et al., J. Comput. Phys. 300, 202--218 (2015; Zbl 1349.76357) Full Text: DOI
Dewar, Jeremy; Kurganov, Alexander; Leopold, Maren Pressure-based adaption indicator for compressible Euler equations. (English) Zbl 1331.76078 Numer. Methods Partial Differ. Equations 31, No. 6, 1844-1874 (2015). MSC: 76M12 65M08 76N15 35Q31 PDFBibTeX XMLCite \textit{J. Dewar} et al., Numer. Methods Partial Differ. Equations 31, No. 6, 1844--1874 (2015; Zbl 1331.76078) Full Text: DOI
Kao, Chiu-Yen; Kurganov, Alexander; Qu, Zhuolin; Wang, Ying A fast explicit operator splitting method for modified Buckley-Leverett equations. (English) Zbl 1327.76098 J. Sci. Comput. 64, No. 3, 837-857 (2015). MSC: 76M12 65M08 65M70 35L67 35L65 PDFBibTeX XMLCite \textit{C.-Y. Kao} et al., J. Sci. Comput. 64, No. 3, 837--857 (2015; Zbl 1327.76098) Full Text: DOI
Yang, Suo; Kurganov, Alexander; Liu, Yingjie Well-balanced central schemes on overlapping cells with constant subtraction techniques for the Saint-Venant shallow water system. (English) Zbl 1320.76086 J. Sci. Comput. 63, No. 3, 678-698 (2015). MSC: 76M12 65M08 76D05 PDFBibTeX XMLCite \textit{S. Yang} et al., J. Sci. Comput. 63, No. 3, 678--698 (2015; Zbl 1320.76086) Full Text: DOI arXiv
Chertock, Alina; Herty, Michael; Kurganov, Alexander An Eulerian-Lagrangian method for optimization problems governed by multidimensional nonlinear hyperbolic PDEs. (English) Zbl 1306.49047 Comput. Optim. Appl. 59, No. 3, 689-724 (2014). MSC: 49M30 49M25 49M05 49K20 49J20 35L60 65M08 PDFBibTeX XMLCite \textit{A. Chertock} et al., Comput. Optim. Appl. 59, No. 3, 689--724 (2014; Zbl 1306.49047) Full Text: DOI
Chertock, Alina; Kurganov, Alexander; Liu, Yu Central-upwind schemes for the system of shallow water equations with horizontal temperature gradients. (English) Zbl 1342.76081 Numer. Math. 127, No. 4, 595-639 (2014). MSC: 76M12 76B15 65M08 86A05 35L65 35L67 PDFBibTeX XMLCite \textit{A. Chertock} et al., Numer. Math. 127, No. 4, 595--639 (2014; Zbl 1342.76081) Full Text: DOI
Kurganov, Alexander; Lukáčová-Medviďová, Mária Numerical study of two-species chemotaxis models. (English) Zbl 1282.92011 Discrete Contin. Dyn. Syst., Ser. B 19, No. 1, 131-152 (2014). MSC: 92C17 35Q92 PDFBibTeX XMLCite \textit{A. Kurganov} and \textit{M. Lukáčová-Medviďová}, Discrete Contin. Dyn. Syst., Ser. B 19, No. 1, 131--152 (2014; Zbl 1282.92011) Full Text: DOI
Chertock, Alina; Kurganov, Alexander; Polizzi, Anthony; Timofeyev, Ilya Pedestrian flow models with slowdown interactions. (English) Zbl 1282.90041 Math. Models Methods Appl. Sci. 24, No. 2, 249-275 (2014). MSC: 90B20 35Q82 35L65 35K55 60K30 60J20 PDFBibTeX XMLCite \textit{A. Chertock} et al., Math. Models Methods Appl. Sci. 24, No. 2, 249--275 (2014; Zbl 1282.90041) Full Text: DOI arXiv
Bollermann, Andreas; Chen, Guoxian; Kurganov, Alexander; Noelle, Sebastian A well-balanced reconstruction of wet/dry fronts for the shallow water equations. (English) Zbl 1426.76337 J. Sci. Comput. 56, No. 2, 267-290 (2013). MSC: 76M12 76B10 PDFBibTeX XMLCite \textit{A. Bollermann} et al., J. Sci. Comput. 56, No. 2, 267--290 (2013; Zbl 1426.76337) Full Text: DOI arXiv
Chen, Yunlong; Kurganov, Alexander; Lei, Minlan; Liu, Yu An adaptive artificial viscosity method for the Saint-Venant system. (English) Zbl 1381.76234 Ansorge, Rainer (ed.) et al., Recent developments in the numerics of nonlinear hyperbolic conservation laws. Lectures presented at a workshop at the Mathematical Research Institute Oberwolfach, Germany, January 15–21, 2012. Berlin: Springer (ISBN 978-3-642-33220-3/hbk; 978-3-642-33221-0/ebook). Notes on Numerical Fluid Mechanics and Multidisciplinary Design (NNFM) 120, 125-141 (2013). MSC: 76M20 65M06 76B15 PDFBibTeX XMLCite \textit{Y. Chen} et al., in: Recent developments in the numerics of nonlinear hyperbolic conservation laws. Lectures presented at a workshop at the Mathematical Research Institute Oberwolfach, Germany, January 15--21, 2012. Berlin: Springer. 125--141 (2013; Zbl 1381.76234) Full Text: DOI
Kurganov, Alexander; Liu, Yu New adaptive artificial viscosity method for hyperbolic systems of conservation laws. (English) Zbl 1284.65112 J. Comput. Phys. 231, No. 24, 8114-8132 (2012). MSC: 65M08 93D21 35L65 PDFBibTeX XMLCite \textit{A. Kurganov} and \textit{Y. Liu}, J. Comput. Phys. 231, No. 24, 8114--8132 (2012; Zbl 1284.65112) Full Text: DOI
Chertock, A.; Fellner, K.; Kurganov, A.; Lorz, A.; Markowich, P. A. Sinking, merging and stationary plumes in a coupled chemotaxis-fluid model: a high-resolution numerical approach. (English) Zbl 1250.76191 J. Fluid Mech. 694, 155-190 (2012). MSC: 76Z05 76M12 76M20 92C10 PDFBibTeX XMLCite \textit{A. Chertock} et al., J. Fluid Mech. 694, 155--190 (2012; Zbl 1250.76191) Full Text: DOI Link
Chertock, Alina; Doering, Charles R.; Kashdan, Eugene; Kurganov, Alexander A fast explicit operator splitting method for passive scalar advection. (English) Zbl 1203.76126 J. Sci. Comput. 45, No. 1-3, 200-214 (2010). MSC: 76M28 65M75 PDFBibTeX XMLCite \textit{A. Chertock} et al., J. Sci. Comput. 45, No. 1--3, 200--214 (2010; Zbl 1203.76126) Full Text: DOI
Chertock, Alina; Kurganov, Alexander; Petrova, Guergana Fast explicit operator splitting method for convection-diffusion equations. (English) Zbl 1157.65436 Int. J. Numer. Methods Fluids 59, No. 3, 309-332 (2009). MSC: 65M06 PDFBibTeX XMLCite \textit{A. Chertock} et al., Int. J. Numer. Methods Fluids 59, No. 3, 309--332 (2009; Zbl 1157.65436) Full Text: DOI
Chertock, Alina; Kurganov, Alexander A second-order positivity preserving central-upwind scheme for chemotaxis and haptotaxis models. (English) Zbl 1307.92045 Numer. Math. 111, No. 2, 169-205 (2008). MSC: 92C17 65M06 76M12 PDFBibTeX XMLCite \textit{A. Chertock} and \textit{A. Kurganov}, Numer. Math. 111, No. 2, 169--205 (2008; Zbl 1307.92045) Full Text: DOI
Chertock, Alina; Karni, Smadar; Kurganov, Alexander Interface tracking method for compressible multifluids. (English) Zbl 1232.76030 ESAIM, Math. Model. Numer. Anal. 42, No. 6, 991-1019 (2008). MSC: 76M12 76N15 35L65 35L67 PDFBibTeX XMLCite \textit{A. Chertock} et al., ESAIM, Math. Model. Numer. Anal. 42, No. 6, 991--1019 (2008; Zbl 1232.76030) Full Text: DOI EuDML
Chertock, Alina; Kurganov, Alexander On a practical implementation of particle methods. (English) Zbl 1103.65103 Appl. Numer. Math. 56, No. 10-11, 1418-1431 (2006). MSC: 65M25 76V05 35L45 65M06 76N15 76M28 PDFBibTeX XMLCite \textit{A. Chertock} and \textit{A. Kurganov}, Appl. Numer. Math. 56, No. 10--11, 1418--1431 (2006; Zbl 1103.65103) Full Text: DOI
Chertock, Alina; Kurganov, Alexander; Petrova, Guergana Finite-volume-particle methods for models of transport of pollutant in shallow water. (English) Zbl 1101.76036 J. Sci. Comput. 27, No. 1-3, 189-199 (2006). MSC: 76M12 76M28 76B15 PDFBibTeX XMLCite \textit{A. Chertock} et al., J. Sci. Comput. 27, No. 1--3, 189--199 (2006; Zbl 1101.76036) Full Text: DOI
Kurganov, Alexander; Petrova, Guergana Adaptive central-upwind schemes for Hamilton-Jacobi equations with nonconvex Hamiltonians. (English) Zbl 1115.65093 J. Sci. Comput. 27, No. 1-3, 323-333 (2006). MSC: 65M06 PDFBibTeX XMLCite \textit{A. Kurganov} and \textit{G. Petrova}, J. Sci. Comput. 27, No. 1--3, 323--333 (2006; Zbl 1115.65093) Full Text: DOI
Karni, Smadar; Kurganov, Alexander Local error analysis for approximate solutions of hyperbolic conservation laws. (English) Zbl 1127.65070 Adv. Comput. Math. 22, No. 1, 79-99 (2005). MSC: 65M15 65M06 65M12 35L65 PDFBibTeX XMLCite \textit{S. Karni} and \textit{A. Kurganov}, Adv. Comput. Math. 22, No. 1, 79--99 (2005; Zbl 1127.65070) Full Text: DOI Link
Chertock, Alina; Kurganov, Alexander On a hybrid finite-volume-particle method. (English) Zbl 1077.65091 M2AN, Math. Model. Numer. Anal. 38, No. 6, 1071-1091 (2004). MSC: 65M06 35L65 76B10 76M12 76M28 35Q35 PDFBibTeX XMLCite \textit{A. Chertock} and \textit{A. Kurganov}, M2AN, Math. Model. Numer. Anal. 38, No. 6, 1071--1091 (2004; Zbl 1077.65091) Full Text: DOI Numdam EuDML
Karni, Smadar; Kirr, Eduard; Kurganov, Alexander; Petrova, Guergana Compressible two-phase flows by central and upwind schemes. (English) Zbl 1079.76045 M2AN, Math. Model. Numer. Anal. 38, No. 3, 477-493 (2004). MSC: 76M12 76T10 76N15 PDFBibTeX XMLCite \textit{S. Karni} et al., M2AN, Math. Model. Numer. Anal. 38, No. 3, 477--493 (2004; Zbl 1079.76045) Full Text: DOI Numdam EuDML
Kurganov, Alexander; Levy, Doron Central-upwind schemes for the Saint-Venant system. (English) Zbl 1137.65398 M2AN, Math. Model. Numer. Anal. 36, No. 3, 397-425 (2002). MSC: 65M06 76M12 76B10 35L65 PDFBibTeX XMLCite \textit{A. Kurganov} and \textit{D. Levy}, M2AN, Math. Model. Numer. Anal. 36, No. 3, 397--425 (2002; Zbl 1137.65398) Full Text: DOI Numdam EuDML
Karni, Smadar; Kurganov, Alexander; Petrova, Guergana A smoothness indicator for adaptive algorithms for hyperbolic systems. (English) Zbl 0998.65092 J. Comput. Phys. 178, No. 2, 323-341 (2002). MSC: 65M06 35L65 65M50 76L05 76M20 PDFBibTeX XMLCite \textit{S. Karni} et al., J. Comput. Phys. 178, No. 2, 323--341 (2002; Zbl 0998.65092) Full Text: DOI Link
Kurganov, Alexander; Petrova, Guergana Central schemes and contact discontinuities. (English) Zbl 0972.65055 M2AN, Math. Model. Numer. Anal. 34, No. 6, 1259-1275 (2000). Reviewer: M.Brandner (Plzěn) MSC: 65M06 35L65 PDFBibTeX XMLCite \textit{A. Kurganov} and \textit{G. Petrova}, M2AN, Math. Model. Numer. Anal. 34, No. 6, 1259--1275 (2000; Zbl 0972.65055) Full Text: DOI EuDML Link