Parameswaran, S.; Mandal, J. C. A stable interface-preserving reinitialization equation for conservative level set method. (English) Zbl 07649603 Eur. J. Mech., B, Fluids 98, 40-63 (2023). MSC: 76-XX PDF BibTeX XML Cite \textit{S. Parameswaran} and \textit{J. C. Mandal}, Eur. J. Mech., B, Fluids 98, 40--63 (2023; Zbl 07649603) Full Text: DOI arXiv OpenURL
Afanasiev, N. A.; Shagirov, N. E.; Goloviznin, V. M. Interpolatory conservative-characteristic scheme with improved dispersion properties for computational fluid dynamics. (English. Russian original) Zbl 07626881 Comput. Math. Math. Phys. 62, No. 11, 1885-1899 (2022); translation from Zh. Vychisl. Mat. Mat. Fiz. 62, No. 11, 1868-1882 (2022). MSC: 76M12 76N15 76L05 PDF BibTeX XML Cite \textit{N. A. Afanasiev} et al., Comput. Math. Math. Phys. 62, No. 11, 1885--1899 (2022; Zbl 07626881); translation from Zh. Vychisl. Mat. Mat. Fiz. 62, No. 11, 1868--1882 (2022) Full Text: DOI OpenURL
Denner, Fabian; van Wachem, Berend A unified algorithm for interfacial flows with incompressible and compressible fluids. (English) Zbl 07616586 Zeidan, Dia (ed.) et al., Advances in fluid mechanics. Modelling and simulations. Singapore: Springer. Forum Interdiscip. Math., 179-208 (2022). MSC: 76M12 76T06 PDF BibTeX XML Cite \textit{F. Denner} and \textit{B. van Wachem}, in: Advances in fluid mechanics. Modelling and simulations. Singapore: Springer. 179--208 (2022; Zbl 07616586) Full Text: DOI arXiv OpenURL
Qian, Xu; Dong, Jian; Song, Songhe Positivity-preserving and well-balanced adaptive surface reconstruction schemes for shallow water equations with wet-dry fronts. (English) Zbl 1497.76059 J. Sci. Comput. 92, No. 3, Paper No. 111, 39 p. (2022). MSC: 76M12 76B10 PDF BibTeX XML Cite \textit{X. Qian} et al., J. Sci. Comput. 92, No. 3, Paper No. 111, 39 p. (2022; Zbl 1497.76059) Full Text: DOI OpenURL
Nkonga, Boniface; Chandrashekar, Praveen Exact solution for Riemann problems of the shear shallow water model. (English) Zbl 07584582 ESAIM, Math. Model. Numer. Anal. 56, No. 4, 1115-1150 (2022). MSC: 35L67 35L45 35L60 35Q31 65M08 PDF BibTeX XML Cite \textit{B. Nkonga} and \textit{P. Chandrashekar}, ESAIM, Math. Model. Numer. Anal. 56, No. 4, 1115--1150 (2022; Zbl 07584582) Full Text: DOI arXiv OpenURL
Ma, Tianbao; Wang, Chentao; Xu, Xiangzhao Conservative high precision pseudo arc-length method for strong discontinuity of detonation wave. (English) Zbl 1496.65199 AMM, Appl. Math. Mech., Engl. Ed. 43, No. 3, 417-436 (2022). MSC: 65N06 65M08 35L55 35L65 35L67 35B05 35Q31 PDF BibTeX XML Cite \textit{T. Ma} et al., AMM, Appl. Math. Mech., Engl. Ed. 43, No. 3, 417--436 (2022; Zbl 1496.65199) Full Text: DOI OpenURL
Birken, Philipp; Linders, Viktor Conservation properties of iterative methods for implicit discretizations of conservation laws. (English) Zbl 1501.65046 J. Sci. Comput. 92, No. 2, Paper No. 60, 32 p. (2022). Reviewer: Abdallah Bradji (Annaba) MSC: 65M08 65M06 65N08 65M22 65H10 65L06 65F10 35D30 PDF BibTeX XML Cite \textit{P. Birken} and \textit{V. Linders}, J. Sci. Comput. 92, No. 2, Paper No. 60, 32 p. (2022; Zbl 1501.65046) Full Text: DOI arXiv OpenURL
Casacuberta, J.; Hickel, S.; Westerbeek, S.; Kotsonis, M. Direct numerical simulation of interaction between a stationary crossflow instability and forward-facing steps. (English) Zbl 1498.76034 J. Fluid Mech. 943, Paper No. A46, 43 p. (2022). MSC: 76E09 76F06 76D05 76F65 76M12 PDF BibTeX XML Cite \textit{J. Casacuberta} et al., J. Fluid Mech. 943, Paper No. A46, 43 p. (2022; Zbl 1498.76034) Full Text: DOI OpenURL
Magdalena, Ikha; Hariz, A. A. A.; Farid, Mohammad; Kusuma, Muhammad Syahril Badri Numerical studies using staggered finite volume for dam break flow with an obstacle through different geometries. (English) Zbl 1495.76073 Results Appl. Math. 12, Article ID 100193, 14 p. (2021). MSC: 76M12 76B15 86A05 PDF BibTeX XML Cite \textit{I. Magdalena} et al., Results Appl. Math. 12, Article ID 100193, 14 p. (2021; Zbl 1495.76073) Full Text: DOI OpenURL
Liu, Xin; He, Junfeng A well-balanced numerical model for depth-averaged two-layer shallow water flows. (English) Zbl 1499.76074 Comput. Appl. Math. 40, No. 8, Paper No. 311, 31 p. (2021). MSC: 76M12 65M08 86-08 35L65 PDF BibTeX XML Cite \textit{X. Liu} and \textit{J. He}, Comput. Appl. Math. 40, No. 8, Paper No. 311, 31 p. (2021; Zbl 1499.76074) Full Text: DOI OpenURL
Poullet, P.; Ramsamy, P.; Ricchiuto, M. Residual based method for sediment transport. (English) Zbl 1481.76148 Muñoz-Ruiz, María Luz (ed.) et al., Recent advances in numerical methods for hyperbolic PDE systems. NumHyp 2019. Selected papers based on the presentations at the 6th international conference on numerical methods for hyperbolic problems, Málaga, Spain, June 17–21, 2019. Cham: Springer. SEMA SIMAI Springer Ser. 28, 193-206 (2021). MSC: 76M12 76T20 76B10 86A05 PDF BibTeX XML Cite \textit{P. Poullet} et al., SEMA SIMAI Springer Ser. 28, 193--206 (2021; Zbl 1481.76148) Full Text: DOI HAL OpenURL
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 PDF BibTeX XML Cite \textit{A. Chertock} et al., J. Sci. Comput. 89, No. 2, Paper No. 48, 24 p. (2021; Zbl 1493.76068) Full Text: DOI OpenURL
Log, Alexandra Metallinou; Munkejord, Svend Tollak; Hammer, Morten HLLC-type methods for compressible two-phase flow in ducts with discontinuous area changes. (English) Zbl 07426289 Comput. Fluids 227, Article ID 105023, 15 p. (2021). MSC: 76-XX PDF BibTeX XML Cite \textit{A. M. Log} et al., Comput. Fluids 227, Article ID 105023, 15 p. (2021; Zbl 07426289) Full Text: DOI OpenURL
Ma, Wenhua; Ni, Guoxi; Xiao, Min Multi-resolution method based on Riemann solvers for detonation and deflagration in high dimension. (English) Zbl 1492.76085 Commun. Comput. Phys. 29, No. 5, 1385-1410 (2021). MSC: 76M12 76M99 76V05 76N15 PDF BibTeX XML Cite \textit{W. Ma} et al., Commun. Comput. Phys. 29, No. 5, 1385--1410 (2021; Zbl 1492.76085) Full Text: DOI OpenURL
Belyaev, Pavel Evgen’evich; Makeeva, Inga Ravil’evna; Pigasov, Egor Evgen’evich; Mastyuk, Dmitriĭ Aleksandrovich Adaptation of Kuropatenko method for calculating shock waves in Euler coordinates. (Russian. English summary) Zbl 1468.76044 Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat. Model. Program. 14, No. 1, 91-103 (2021). MSC: 76M12 76L05 PDF BibTeX XML Cite \textit{P. E. Belyaev} et al., Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat. Model. Program. 14, No. 1, 91--103 (2021; Zbl 1468.76044) Full Text: DOI MNR OpenURL
Pimentel-García, Ernesto; Parés, Carlos; Castro, Manuel J.; Koellermeier, Julian On the efficient implementation of PVM methods and simple Riemann solvers. Application to the Roe method for large hyperbolic systems. (English) Zbl 07329288 Appl. Math. Comput. 388, Article ID 125544, 20 p. (2021). MSC: 65-XX 15-XX PDF BibTeX XML Cite \textit{E. Pimentel-García} et al., Appl. Math. Comput. 388, Article ID 125544, 20 p. (2021; Zbl 07329288) Full Text: DOI Link OpenURL
Deng, Xiaogang; Zhu, Huajun; Min, Yaobing; Liu, Huayong; Mao, Meiliang; Wang, Guangxue High-order finite difference schemes based on symmetric conservative metric method: decomposition, geometric meaning and connection with finite volume schemes. (English) Zbl 1488.65233 Adv. Appl. Math. Mech. 12, No. 2, 436-479 (2020). MSC: 65M06 35L65 65M08 76M12 76M20 PDF BibTeX XML Cite \textit{X. Deng} et al., Adv. Appl. Math. Mech. 12, No. 2, 436--479 (2020; Zbl 1488.65233) Full Text: DOI OpenURL
Coquel, Frédéric; Marmignon, Claude; Rai, Pratik; Renac, Florent Adjoint approximation of nonlinear hyperbolic systems with non-conservative products. (English) Zbl 1466.65093 Bressan, Alberto (ed.) et al., Hyperbolic problems: theory, numerics, applications. Proceedings of the 17th international conference, HYP2018, Pennsylvania State University, University Park, PA, USA, June 25–29, 2018. Springfield, MO: American Institute of Mathematical Sciences (AIMS). AIMS Ser. Appl. Math. 10, 385-392 (2020). MSC: 65M08 65M06 65M12 65M15 35L60 PDF BibTeX XML Cite \textit{F. Coquel} et al., AIMS Ser. Appl. Math. 10, 385--392 (2020; Zbl 1466.65093) OpenURL
Delpopolo Carciopolo, Ludovica; Formaggia, Luca; Scotti, Anna; Hajibeygi, Hadi Conservative multirate multiscale simulation of multiphase flow in heterogeneous porous media. (English) Zbl 1453.76091 J. Comput. Phys. 404, Article ID 109134, 18 p. (2020). MSC: 76M12 76S05 65M55 65M08 PDF BibTeX XML Cite \textit{L. Delpopolo Carciopolo} et al., J. Comput. Phys. 404, Article ID 109134, 18 p. (2020; Zbl 1453.76091) Full Text: DOI OpenURL
Xie, Bin; Jin, Peng; Nakayama, Hiroki; Liao, ShiJun; Xiao, Feng A conservative solver for surface-tension-driven multiphase flows on collocated unstructured grids. (English) Zbl 1453.76116 J. Comput. Phys. 401, Article ID 109025, 33 p. (2020). MSC: 76M12 76T10 76T06 76D05 65M08 PDF BibTeX XML Cite \textit{B. Xie} et al., J. Comput. Phys. 401, Article ID 109025, 33 p. (2020; Zbl 1453.76116) Full Text: DOI OpenURL
Bürger, Raimund; Fernández-Nieto, Enrique D.; Osores, Víctor A multilayer shallow water approach for polydisperse sedimentation with sediment compressibility and mixture viscosity. (English) Zbl 1459.65167 J. Sci. Comput. 85, No. 2, Paper No. 49, 39 p. (2020). Reviewer: Abdallah Bradji (Annaba) MSC: 65M08 65N06 76T20 76N06 PDF BibTeX XML Cite \textit{R. Bürger} et al., J. Sci. Comput. 85, No. 2, Paper No. 49, 39 p. (2020; Zbl 1459.65167) Full Text: DOI Link OpenURL
Wen, Xiao; Don, Wai Sun; Gao, Zhen; Xing, Yulong Entropy stable and well-balanced discontinuous Galerkin methods for the nonlinear shallow water equations. (English) Zbl 1445.76055 J. Sci. Comput. 83, No. 3, Paper No. 66, 32 p. (2020). MSC: 76M12 76M20 76B15 86-08 PDF BibTeX XML Cite \textit{X. Wen} et al., J. Sci. Comput. 83, No. 3, Paper No. 66, 32 p. (2020; Zbl 1445.76055) Full Text: DOI OpenURL
Chandrashekar, Praveen; Nkonga, Boniface; Meena, Asha Kumari; Bhole, Ashish A path conservative finite volume method for a shear shallow water model. (English) Zbl 1436.76036 J. Comput. Phys. 413, Article ID 109457, 28 p. (2020). MSC: 76M12 65M08 76B15 PDF BibTeX XML Cite \textit{P. Chandrashekar} et al., J. Comput. Phys. 413, Article ID 109457, 28 p. (2020; Zbl 1436.76036) Full Text: DOI arXiv OpenURL
Kemm, Friedemann; Gaburro, Elena; Thein, Ferdinand; Dumbser, Michael A simple diffuse interface approach for compressible flows around moving solids of arbitrary shape based on a reduced Baer-Nunziato model. (English) Zbl 07200216 Comput. Fluids 204, Article ID 104536, 15 p. (2020). MSC: 76-XX PDF BibTeX XML Cite \textit{F. Kemm} et al., Comput. Fluids 204, Article ID 104536, 15 p. (2020; Zbl 07200216) Full Text: DOI arXiv OpenURL
Maire, Pierre-Henri; Bertron, Isabelle; Chauvin, Rémi; Rebourcet, Bernard Thermodynamic consistency of cell-centered Lagrangian schemes. (English) Zbl 07200206 Comput. Fluids 203, Article ID 104527, 14 p. (2020). MSC: 76-XX 35-XX PDF BibTeX XML Cite \textit{P.-H. Maire} et al., Comput. Fluids 203, Article ID 104527, 14 p. (2020; Zbl 07200206) Full Text: DOI OpenURL
Aguerre, Horacio J.; Márquez Damián, Santiago; Nigro, Norberto M. Conservative interpolation on surface interfaces for transport problems in the finite volume method. (English) Zbl 1452.76109 J. Comput. Phys. 395, 144-165 (2019). MSC: 76M12 76R50 76D05 65M08 PDF BibTeX XML Cite \textit{H. J. Aguerre} et al., J. Comput. Phys. 395, 144--165 (2019; Zbl 1452.76109) Full Text: DOI OpenURL
Chiu, Pao-Hsiung A coupled phase field framework for solving incompressible two-phase flows. (English) Zbl 1452.76112 J. Comput. Phys. 392, 115-140 (2019). MSC: 76M12 76T06 65M08 65Z05 PDF BibTeX XML Cite \textit{P.-H. Chiu}, J. Comput. Phys. 392, 115--140 (2019; Zbl 1452.76112) Full Text: DOI OpenURL
Parameswaran, S.; Mandal, J. C. A novel roe solver for incompressible two-phase flow problems. (English) Zbl 1452.76129 J. Comput. Phys. 390, 405-424 (2019). MSC: 76M12 65M08 76T06 76T10 PDF BibTeX XML Cite \textit{S. Parameswaran} and \textit{J. C. Mandal}, J. Comput. Phys. 390, 405--424 (2019; Zbl 1452.76129) Full Text: DOI OpenURL
Zhang, Lei; Kumbaro, Anela; Ghidaglia, Jean-Michel A conservative pressure based solver with collocated variables on unstructured grids for two-fluid flows with phase change. (English) Zbl 1452.76252 J. Comput. Phys. 390, 265-289 (2019). MSC: 76T10 76M12 65M08 80A17 PDF BibTeX XML Cite \textit{L. Zhang} et al., J. Comput. Phys. 390, 265--289 (2019; Zbl 1452.76252) Full Text: DOI HAL OpenURL
Fu, Kai; Liang, Dong A mass-conservative temporal second order and spatial fourth order characteristic finite volume method for atmospheric pollution advection diffusion problems. (English) Zbl 1433.65175 SIAM J. Sci. Comput. 41, No. 6, B1178-B1210 (2019). Reviewer: Abdallah Bradji (Annaba) MSC: 65M08 65M25 35Q49 76R50 76U60 76T15 86A10 35Q86 PDF BibTeX XML Cite \textit{K. Fu} and \textit{D. Liang}, SIAM J. Sci. Comput. 41, No. 6, B1178--B1210 (2019; Zbl 1433.65175) Full Text: DOI OpenURL
Hong, Qi; Wang, Jialing; Gong, Yuezheng Second-order linear structure-preserving modified finite volume schemes for the regularized long wave equation. (English) Zbl 1428.35450 Discrete Contin. Dyn. Syst., Ser. B 24, No. 12, 6445-6464 (2019). MSC: 35Q53 65M08 65M06 PDF BibTeX XML Cite \textit{Q. Hong} et al., Discrete Contin. Dyn. Syst., Ser. B 24, No. 12, 6445--6464 (2019; Zbl 1428.35450) Full Text: DOI arXiv OpenURL
Liu, Yujie; Wang, Junping; Zou, Qingsong A conservative flux optimization finite element method for convection-diffusion equations. (English) Zbl 1422.65398 SIAM J. Numer. Anal. 57, No. 3, 1238-1262 (2019). MSC: 65N30 65N15 65N12 35B45 35J50 76S05 76T99 76R99 65N08 35Q35 PDF BibTeX XML Cite \textit{Y. Liu} et al., SIAM J. Numer. Anal. 57, No. 3, 1238--1262 (2019; Zbl 1422.65398) Full Text: DOI arXiv OpenURL
Rehman, Asad; Qamar, Shamsul High order finite-volume WENO scheme for five-equation model of compressible two-fluid flow. (English) Zbl 1442.65205 Comput. Math. Appl. 76, No. 11-12, 2648-2664 (2018). MSC: 65M08 76M12 PDF BibTeX XML Cite \textit{A. Rehman} and \textit{S. Qamar}, Comput. Math. Appl. 76, No. 11--12, 2648--2664 (2018; Zbl 1442.65205) Full Text: DOI OpenURL
Balcázar, Néstor; Castro, Jesús; Chiva, Jorge; Oliva, Assensi DNS of falling droplets in a vertical channel. (English) Zbl 1425.76256 Vorobieff, Peter (ed.) et al., Multiphase flow. Theory and applications. Southampton: WIT Press. 403-415 (2018). MSC: 76T10 76M12 PDF BibTeX XML Cite \textit{N. Balcázar} et al., in: Multiphase flow. Theory and applications. Southampton: WIT Press. 403--415 (2018; Zbl 1425.76256) Full Text: DOI OpenURL
Schillaci, Eugenio; Favre, Federico; Antepara, Oscar; Balcázar, Néstor; Oliva, Asensi Numerical study of an impulse wave generated by a sliding mass. (English) Zbl 1425.76043 Vorobieff, Peter (ed.) et al., Multiphase flow. Theory and applications. Southampton: WIT Press. 101-112 (2018). MSC: 76B15 76T10 76M12 86A05 PDF BibTeX XML Cite \textit{E. Schillaci} et al., in: Multiphase flow. Theory and applications. Southampton: WIT Press. 101--112 (2018; Zbl 1425.76043) Full Text: DOI OpenURL
De Lorenzo, M.; Pelanti, M.; Lafon, Ph. HLLC-type and path-conservative schemes for a single-velocity six-equation two-phase flow model: a comparative study. (English) Zbl 1427.76159 Appl. Math. Comput. 333, 95-117 (2018). MSC: 76M12 65M08 76L05 76Txx PDF BibTeX XML Cite \textit{M. De Lorenzo} et al., Appl. Math. Comput. 333, 95--117 (2018; Zbl 1427.76159) Full Text: DOI OpenURL
Čiegis, Raimondas; Katauskis, Pranas; Skakauskas, Vladas The robust finite-volume schemes for modeling nonclassical surface reactions. (English) Zbl 1416.92195 Nonlinear Anal., Model. Control 23, No. 2, 234-250 (2018). MSC: 92E20 65M08 35Q92 PDF BibTeX XML Cite \textit{R. Čiegis} et al., Nonlinear Anal., Model. Control 23, No. 2, 234--250 (2018; Zbl 1416.92195) Full Text: DOI OpenURL
Carlberg, Kevin; Choi, Youngsoo; Sargsyan, Syuzanna Conservative model reduction for finite-volume models. (English) Zbl 1415.65208 J. Comput. Phys. 371, 280-314 (2018). MSC: 65M08 35L65 65K10 PDF BibTeX XML Cite \textit{K. Carlberg} et al., J. Comput. Phys. 371, 280--314 (2018; Zbl 1415.65208) Full Text: DOI arXiv OpenURL
Gaburro, Elena; Castro, Manuel J.; Dumbser, Michael A well balanced diffuse interface method for complex nonhydrostatic free surface flows. (English) Zbl 1410.76224 Comput. Fluids 175, 180-198 (2018). MSC: 76M12 65M08 65Y10 76Nxx 76T10 PDF BibTeX XML Cite \textit{E. Gaburro} et al., Comput. Fluids 175, 180--198 (2018; Zbl 1410.76224) Full Text: DOI arXiv OpenURL
Wan, Andy T. S.; Nave, Jean-Christophe On the arbitrarily long-term stability of conservative methods. (English) Zbl 1405.65085 SIAM J. Numer. Anal. 56, No. 5, 2751-2775 (2018). Reviewer: Antonio Linero Bas (Murcia) MSC: 65L05 65L12 65L20 65L70 65P10 37M15 PDF BibTeX XML Cite \textit{A. T. S. Wan} and \textit{J.-C. Nave}, SIAM J. Numer. Anal. 56, No. 5, 2751--2775 (2018; Zbl 1405.65085) Full Text: DOI arXiv OpenURL
Aguerre, Horacio J.; Márquez Damián, Santiago; Gimenez, Juan M.; Nigro, Norberto M. Development of a parallelised fluid solver for problems with mesh interfaces and deforming domains. (English) Zbl 1390.76390 Comput. Fluids 168, 110-129 (2018). MSC: 76M12 65Y05 76V05 PDF BibTeX XML Cite \textit{H. J. Aguerre} et al., Comput. Fluids 168, 110--129 (2018; Zbl 1390.76390) Full Text: DOI OpenURL
Liu, Cheng; Hu, Changhong An adaptive multi-moment FVM approach for incompressible flows. (English) Zbl 1383.76355 J. Comput. Phys. 359, 239-262 (2018). MSC: 76M12 76D05 65M08 76-05 PDF BibTeX XML Cite \textit{C. Liu} and \textit{C. Hu}, J. Comput. Phys. 359, 239--262 (2018; Zbl 1383.76355) Full Text: DOI OpenURL
Aguerre, Horacio J.; Damián, Santiago Márquez; Gimenez, Juan M.; Nigro, Norberto M. Conservative handling of arbitrary non-conformal interfaces using an efficient supermesh. (English) Zbl 1375.76095 J. Comput. Phys. 335, 21-49 (2017). MSC: 76M12 65N50 65N08 PDF BibTeX XML Cite \textit{H. J. Aguerre} et al., J. Comput. Phys. 335, 21--49 (2017; Zbl 1375.76095) Full Text: DOI OpenURL
Wan, Andy T. S.; Bihlo, Alexander; Nave, Jean-Christophe Conservative methods for dynamical systems. (English) Zbl 1375.65104 SIAM J. Numer. Anal. 55, No. 5, 2255-2285 (2017). MSC: 65L12 34A34 65L05 65P10 37M15 65L20 70F05 PDF BibTeX XML Cite \textit{A. T. S. Wan} et al., SIAM J. Numer. Anal. 55, No. 5, 2255--2285 (2017; Zbl 1375.65104) Full Text: DOI arXiv OpenURL
Castro, M. J.; Morales de Luna, T.; Parés, C. Well-balanced schemes and path-conservative numerical methods. (English) Zbl 1368.65131 Abgrall, Rémi (ed.) et al., Handbook on numerical methods for hyperbolic problems. Applied and modern issues. Amsterdam: Elsevier/North Holland (ISBN 978-0-444-63910-3/hbk; 978-0-444-63911-0/ebook). Handbook of Numerical Analysis 18, 131-175 (2017). MSC: 65M06 35L60 65M08 65M20 PDF BibTeX XML Cite \textit{M. J. Castro} et al., Handb. Numer. Anal. 18, 131--175 (2017; Zbl 1368.65131) Full Text: DOI OpenURL
Afanasiev, Nikita Construction of the algorithm and computation of the flow of an incompressible fluid based on the supporting operators method. (English) Zbl 1452.76108 Interdiscip. Inf. Sci. 22, No. 2, 199-213 (2016). MSC: 76M12 76D05 PDF BibTeX XML Cite \textit{N. Afanasiev}, Interdiscip. Inf. Sci. 22, No. 2, 199--213 (2016; Zbl 1452.76108) Full Text: DOI OpenURL
Vutova, Katia; Donchev, Veliko Non-stationary heat model for electron beam melting and refining – an economic and conservative numerical method. (English) Zbl 1446.80005 Appl. Math. Modelling 40, No. 2, 1565-1575 (2016). MSC: 80-10 74F05 76M12 PDF BibTeX XML Cite \textit{K. Vutova} and \textit{V. Donchev}, Appl. Math. Modelling 40, No. 2, 1565--1575 (2016; Zbl 1446.80005) Full Text: DOI OpenURL
Sánchez-Linares, C.; Morales de Luna, T.; Castro Díaz, M. J. A HLLC scheme for Ripa model. (English) Zbl 1410.76261 Appl. Math. Comput. 272, Part 2, 369-384 (2016). MSC: 76M12 65M25 76B15 PDF BibTeX XML Cite \textit{C. Sánchez-Linares} et al., Appl. Math. Comput. 272, Part 2, 369--384 (2016; Zbl 1410.76261) Full Text: DOI OpenURL
Wan, Andy T. S.; Bihlo, Alexander; Nave, Jean-Christophe The multiplier method to construct conservative finite difference schemes for ordinary and partial differential equations. (English) Zbl 1337.65098 SIAM J. Numer. Anal. 54, No. 1, 86-119 (2016). MSC: 65L12 65M06 65N06 PDF BibTeX XML Cite \textit{A. T. S. Wan} et al., SIAM J. Numer. Anal. 54, No. 1, 86--119 (2016; Zbl 1337.65098) Full Text: DOI arXiv OpenURL
Puscas, Maria Adela; Monasse, Laurent; Ern, Alexandre; Tenaud, Christian; Mariotti, Christian A conservative embedded boundary method for an inviscid compressible flow coupled with a fragmenting structure. (English) Zbl 1352.76074 Int. J. Numer. Methods Eng. 103, No. 13, 970-995 (2015). MSC: 76M12 65M08 74F10 74S10 76Nxx PDF BibTeX XML Cite \textit{M. A. Puscas} et al., Int. J. Numer. Methods Eng. 103, No. 13, 970--995 (2015; Zbl 1352.76074) Full Text: DOI HAL OpenURL
Puscas, Maria Adela; Monasse, Laurent; Ern, Alexandre; Tenaud, Christian; Mariotti, Christian; Daru, Virginie A time semi-implicit scheme for the energy-balanced coupling of a shocked fluid flow with a deformable structure. (English) Zbl 1352.76075 J. Comput. Phys. 296, 241-262 (2015). MSC: 76M12 65M08 74F10 74S10 76Nxx PDF BibTeX XML Cite \textit{M. A. Puscas} et al., J. Comput. Phys. 296, 241--262 (2015; Zbl 1352.76075) Full Text: DOI Link OpenURL
Wang, Hong; Cheng, Aijie; Wang, Kaixin Fast finite volume methods for space-fractional diffusion equations. (English) Zbl 1382.65272 Discrete Contin. Dyn. Syst., Ser. B 20, No. 5, 1427-1441 (2015). MSC: 65M08 35R11 PDF BibTeX XML Cite \textit{H. Wang} et al., Discrete Contin. Dyn. Syst., Ser. B 20, No. 5, 1427--1441 (2015; Zbl 1382.65272) Full Text: DOI OpenURL
Puscas, Maria Adela; Monasse, Laurent A three-dimensional conservative coupling method between an inviscid compressible flow and a moving rigid solid. (English) Zbl 1382.76189 SIAM J. Sci. Comput. 37, No. 6, B884-B909 (2015). MSC: 76M12 74S10 65M08 74F10 76N99 PDF BibTeX XML Cite \textit{M. A. Puscas} and \textit{L. Monasse}, SIAM J. Sci. Comput. 37, No. 6, B884--B909 (2015; Zbl 1382.76189) Full Text: DOI HAL OpenURL
Bouchut, F.; Fernández-Nieto, E. D.; Mangeney, A.; Narbona-Reina, G. A two-phase shallow debris flow model with energy balance. (English) Zbl 1310.76172 ESAIM, Math. Model. Numer. Anal. 49, No. 1, 101-140 (2015). MSC: 76T25 74F10 76M12 PDF BibTeX XML Cite \textit{F. Bouchut} et al., ESAIM, Math. Model. Numer. Anal. 49, No. 1, 101--140 (2015; Zbl 1310.76172) Full Text: DOI Link OpenURL
Castro, Cristóbal E.; Toro, Eleuterio F. Roe-type Riemann solvers for general hyperbolic systems. (English) Zbl 1455.65144 Int. J. Numer. Methods Fluids 75, No. 7, 467-486 (2014). MSC: 65M08 35L65 65M25 PDF BibTeX XML Cite \textit{C. E. Castro} and \textit{E. F. Toro}, Int. J. Numer. Methods Fluids 75, No. 7, 467--486 (2014; Zbl 1455.65144) Full Text: DOI OpenURL
Pudjaprasetya, S. R.; Magdalena, I. Momentum conservative schemes for shallow water flows. (English) Zbl 1309.76138 East Asian J. Appl. Math. 4, No. 2, 152-165 (2014). MSC: 76M12 65M08 76B15 35L65 PDF BibTeX XML Cite \textit{S. R. Pudjaprasetya} and \textit{I. Magdalena}, East Asian J. Appl. Math. 4, No. 2, 152--165 (2014; Zbl 1309.76138) Full Text: DOI Link OpenURL
Balcazar, N.; Jofre, L.; Lehmkuhl, O.; Rigola, J.; Castro, J.; Oliva, A. A finite-volume/level-set interface capturing method for unstructured grids: simulations of bubbles rising through viscous liquids. (English) Zbl 1299.76158 Brebbia, Carlos A. (ed.) et al., Advances in fluid mechanics X. Proceedings of the 10th international conference on advances in fluid mechanics, A Coruña, Spain, July 1–3, 2014. Southampton: WIT Press (ISBN 978-1-84564-790-2/hbk; 978-1-84564-791-9/ebook). WIT Transactions on Engineering Sciences 82, 239-250 (2014). MSC: 76M12 76M25 76T10 PDF BibTeX XML Cite \textit{N. Balcazar} et al., WIT Trans. Eng. Sci. 82, 239--250 (2014; Zbl 1299.76158) OpenURL
Aymard, Benjamin; Clément, Frédérique; Postel, Marie Adaptive mesh refinement strategy for a non conservative transport problem. (English) Zbl 1303.65072 ESAIM, Math. Model. Numer. Anal. 48, No. 5, 1381-1412 (2014). MSC: 65M08 35L03 PDF BibTeX XML Cite \textit{B. Aymard} et al., ESAIM, Math. Model. Numer. Anal. 48, No. 5, 1381--1412 (2014; Zbl 1303.65072) Full Text: DOI OpenURL
Ambroso, Annalisa; Chalons, Christophe; Coquel, Frédéric; Galié, Thomas Interface model coupling via prescribed local flux balance. (English) Zbl 1292.35166 ESAIM, Math. Model. Numer. Anal. 48, No. 3, 895-918 (2014). MSC: 35L50 35L60 35L65 35L67 35L81 76M12 35Q31 PDF BibTeX XML Cite \textit{A. Ambroso} et al., ESAIM, Math. Model. Numer. Anal. 48, No. 3, 895--918 (2014; Zbl 1292.35166) Full Text: DOI OpenURL
Correa, M. R.; Borges, M. R. A semi-discrete central scheme for scalar hyperbolic conservation laws with heterogeneous storage coefficient and its application to porous media flow. (English) Zbl 1455.65146 Int. J. Numer. Methods Fluids 73, No. 3, 205-224 (2013). MSC: 65M08 76M12 76S05 PDF BibTeX XML Cite \textit{M. R. Correa} and \textit{M. R. Borges}, Int. J. Numer. Methods Fluids 73, No. 3, 205--224 (2013; Zbl 1455.65146) Full Text: DOI OpenURL
Wen, Xianyun Wet/dry areas method for interfacial (free surface) flow. (English) Zbl 1430.76126 Int. J. Numer. Methods Fluids 71, No. 3, 316-338 (2013). MSC: 76D05 65M06 76M20 PDF BibTeX XML Cite \textit{X. Wen}, Int. J. Numer. Methods Fluids 71, No. 3, 316--338 (2013; Zbl 1430.76126) Full Text: DOI OpenURL
Lee, Bok Jik; Toro, Eleuterio F.; Castro, Cristóbal E.; Nikiforakis, Nikolaos Adaptive Osher-type scheme for the Euler equations with highly nonlinear equations of state. (English) Zbl 1349.76354 J. Comput. Phys. 246, 165-183 (2013). MSC: 76M12 65M08 35Q31 76L05 76Nxx PDF BibTeX XML Cite \textit{B. J. Lee} et al., J. Comput. Phys. 246, 165--183 (2013; Zbl 1349.76354) Full Text: DOI OpenURL
Zayats, V. M. Combinational numerical methods with minimum discretization error. (English. Russian original) Zbl 1302.65170 Cybern. Syst. Anal. 49, No. 2, 259-263 (2013); translation from Kibern. Sist. Anal. 2013, No. 2, 115-120 (2013). MSC: 65L12 65L70 34A34 34C10 PDF BibTeX XML Cite \textit{V. M. Zayats}, Cybern. Syst. Anal. 49, No. 2, 259--263 (2013; Zbl 1302.65170); translation from Kibern. Sist. Anal. 2013, No. 2, 115--120 (2013) Full Text: DOI OpenURL
Dumbser, Michael A diffuse interface method for complex three-dimensional free surface flows. (English) Zbl 1286.76099 Comput. Methods Appl. Mech. Eng. 257, 47-64 (2013). MSC: 76M12 76B10 76T99 PDF BibTeX XML Cite \textit{M. Dumbser}, Comput. Methods Appl. Mech. Eng. 257, 47--64 (2013; Zbl 1286.76099) Full Text: DOI OpenURL
Castro Díaz, Manuel Jesús; Fernández Nieto, Enrique Domingo; Morales de Luna, Tomás; Narbona-Reina, Gladys; Parés, Carlos A HLLC scheme for nonconservative hyperbolic problems. Application to turbidity currents with sediment transport. (English) Zbl 1268.76037 ESAIM, Math. Model. Numer. Anal. 47, No. 1, 1-32 (2013). MSC: 76M12 76M20 76N99 65M06 76B15 PDF BibTeX XML Cite \textit{M. J. Castro Díaz} et al., ESAIM, Math. Model. Numer. Anal. 47, No. 1, 1--32 (2013; Zbl 1268.76037) Full Text: DOI OpenURL
Vohralík, Martin; Wohlmuth, Barbara I. Mixed finite element methods: Implementation with one unknown per element, local flux expressions, positivity, polygonal meshes, and relations to other methods. (English) Zbl 1264.65198 Math. Models Methods Appl. Sci. 23, No. 5, 803-838 (2013). MSC: 65N30 35J25 65N06 65N08 PDF BibTeX XML Cite \textit{M. Vohralík} and \textit{B. I. Wohlmuth}, Math. Models Methods Appl. Sci. 23, No. 5, 803--838 (2013; Zbl 1264.65198) Full Text: DOI OpenURL
Sato, Yohei; Ničeno, Bojan A conservative local interface sharpening scheme for the constrained interpolation profile method. (English) Zbl 1412.76070 Int. J. Numer. Methods Fluids 70, No. 4, 441-467 (2012). MSC: 76M12 65M08 76T10 PDF BibTeX XML Cite \textit{Y. Sato} and \textit{B. Ničeno}, Int. J. Numer. Methods Fluids 70, No. 4, 441--467 (2012; Zbl 1412.76070) Full Text: DOI OpenURL
Arbogast, Todd; Huang, Chieh-Sen; Hung, Chen-Hui A fully conservative Eulerian-Lagrangian stream-tube method for advection-diffusion problems. (English) Zbl 1250.76134 SIAM J. Sci. Comput. 34, No. 4, B447-B478 (2012). MSC: 76M12 76R50 76S05 65M08 65M25 65M60 PDF BibTeX XML Cite \textit{T. Arbogast} et al., SIAM J. Sci. Comput. 34, No. 4, B447--B478 (2012; Zbl 1250.76134) Full Text: DOI Link OpenURL
Tolstykh, Mikhail A.; Shashkin, Vladimir V. Vorticity-divergence mass-conserving semi-Lagrangian shallow-water model using the reduced grid on the sphere. (English) Zbl 1425.76167 J. Comput. Phys. 231, No. 11, 4205-4233 (2012). MSC: 76M12 76M20 76U05 86A10 PDF BibTeX XML Cite \textit{M. A. Tolstykh} and \textit{V. V. Shashkin}, J. Comput. Phys. 231, No. 11, 4205--4233 (2012; Zbl 1425.76167) Full Text: DOI OpenURL
Kesserwani, Georges; Liang, Qiuhua Locally limited and fully conserved RKDG2 shallow water solutions with wetting and drying. (English) Zbl 1426.76387 J. Sci. Comput. 50, No. 1, 120-144 (2012). MSC: 76M12 76B10 PDF BibTeX XML Cite \textit{G. Kesserwani} and \textit{Q. Liang}, J. Sci. Comput. 50, No. 1, 120--144 (2012; Zbl 1426.76387) Full Text: DOI Link OpenURL
Menon, Sandeep; Schmidt, David P. Conservative interpolation on unstructured polyhedral meshes: an extension of the supermesh approach to cell-centered finite-volume variables. (English) Zbl 1230.76034 Comput. Methods Appl. Mech. Eng. 200, No. 41-44, 2797-2804 (2011). MSC: 76M12 76R99 PDF BibTeX XML Cite \textit{S. Menon} and \textit{D. P. Schmidt}, Comput. Methods Appl. Mech. Eng. 200, No. 41--44, 2797--2804 (2011; Zbl 1230.76034) Full Text: DOI OpenURL
Dumbser, Michael A simple two-phase method for the simulation of complex free surface flows. (English) Zbl 1225.76210 Comput. Methods Appl. Mech. Eng. 200, No. 9-12, 1204-1219 (2011). MSC: 76M12 76B10 PDF BibTeX XML Cite \textit{M. Dumbser}, Comput. Methods Appl. Mech. Eng. 200, No. 9--12, 1204--1219 (2011; Zbl 1225.76210) Full Text: DOI OpenURL
Morales de Luna, T.; Castro Díaz, M. J.; Parés Madroñal, C. A duality method for sediment transport based on a modified Meyer-Peter & Müller model. (English) Zbl 1426.76408 J. Sci. Comput. 48, No. 1-3, 258-273 (2011). MSC: 76M12 76B15 86A05 PDF BibTeX XML Cite \textit{T. Morales de Luna} et al., J. Sci. Comput. 48, No. 1--3, 258--273 (2011; Zbl 1426.76408) Full Text: DOI OpenURL
LeVeque, Randall J. A well-balanced path-integral f-wave method for hyperbolic problems with source terms. (English) Zbl 1221.65233 J. Sci. Comput. 48, No. 1-3, 209-226 (2011). MSC: 65M08 35L65 PDF BibTeX XML Cite \textit{R. J. LeVeque}, J. Sci. Comput. 48, No. 1--3, 209--226 (2011; Zbl 1221.65233) Full Text: DOI Link OpenURL
Fernández-Nieto, E. D.; Castro Díaz, M. J.; Parés, C. On an intermediate field capturing Riemann solver based on a parabolic viscosity matrix for the two-layer shallow water system. (English) Zbl 1421.76163 J. Sci. Comput. 48, No. 1-3, 117-140 (2011). MSC: 76M12 76B15 PDF BibTeX XML Cite \textit{E. D. Fernández-Nieto} et al., J. Sci. Comput. 48, No. 1--3, 117--140 (2011; Zbl 1421.76163) Full Text: DOI Link OpenURL
Dumbser, Michael; Toro, Eleuterio F. A simple extension of the Osher Riemann solver to non-conservative hyperbolic systems. (English) Zbl 1220.65110 J. Sci. Comput. 48, No. 1-3, 70-88 (2011). MSC: 65M06 PDF BibTeX XML Cite \textit{M. Dumbser} and \textit{E. F. Toro}, J. Sci. Comput. 48, No. 1--3, 70--88 (2011; Zbl 1220.65110) Full Text: DOI OpenURL
Lunati, Ivan; Tyagi, Manav; Lee, Seong H. An iterative multiscale finite volume algorithm converging to the exact solution. (English) Zbl 1391.76428 J. Comput. Phys. 230, No. 5, 1849-1864 (2011). MSC: 76M12 PDF BibTeX XML Cite \textit{I. Lunati} et al., J. Comput. Phys. 230, No. 5, 1849--1864 (2011; Zbl 1391.76428) Full Text: DOI OpenURL
Deng, Xiaogang; Mao, Meiliang; Tu, Guohua; Liu, Huayong; Zhang, Hanxin Geometric conservation law and applications to high-order finite difference schemes with stationary grids. (English) Zbl 1210.65153 J. Comput. Phys. 230, No. 4, 1100-1115 (2011). MSC: 65M06 35L65 PDF BibTeX XML Cite \textit{X. Deng} et al., J. Comput. Phys. 230, No. 4, 1100--1115 (2011; Zbl 1210.65153) Full Text: DOI OpenURL
van Dam, A.; Zegeling, P. A. Balanced monitoring of flow phenomena in moving mesh methods. (English) Zbl 1364.76123 Commun. Comput. Phys. 7, No. 1, 138-170 (2010). MSC: 76M12 65M08 65M50 76L05 76N15 PDF BibTeX XML Cite \textit{A. van Dam} and \textit{P. A. Zegeling}, Commun. Comput. Phys. 7, No. 1, 138--170 (2010; Zbl 1364.76123) Full Text: DOI OpenURL
Han, Ee; Li, Jiequan; Tang, Huazhong An adaptive GRP scheme for compressible fluid flows. (English) Zbl 1329.76205 J. Comput. Phys. 229, No. 5, 1448-1466 (2010). MSC: 76M12 65M06 PDF BibTeX XML Cite \textit{E. Han} et al., J. Comput. Phys. 229, No. 5, 1448--1466 (2010; Zbl 1329.76205) Full Text: DOI OpenURL
Lukáčová-Medvid’ová, Mária; Tadmor, Eitan On the entropy stability of Roe-type finite volume methods. (English) Zbl 1186.65121 Tadmor, Eitan (ed.) et al., Hyperbolic problems. Theory, numerics and applications. Contributed talks. Proceedings of the 12th international conference on hyperbolic problems, June 9–13, 2008. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4730-5/hbk; 978-0-8218-4728-2/2-vol. set). Proceedings of Symposia in Applied Mathematics 67, Part 2, 765-774 (2009). MSC: 65M12 65M08 35L45 35L65 65M25 65M15 PDF BibTeX XML Cite \textit{M. Lukáčová-Medvid'ová} and \textit{E. Tadmor}, Proc. Symp. Appl. Math. 67, 765--774 (2009; Zbl 1186.65121) OpenURL
Zahedi, Sara; Gustavsson, Katarina; Kreiss, Gunilla A conservative level set method for contact line dynamics. (English) Zbl 1261.76042 J. Comput. Phys. 228, No. 17, 6361-6375 (2009). MSC: 76M25 76T10 76M12 76T30 65M06 PDF BibTeX XML Cite \textit{S. Zahedi} et al., J. Comput. Phys. 228, No. 17, 6361--6375 (2009; Zbl 1261.76042) Full Text: DOI OpenURL
Manzini, Gianmarco An efficient and conservative hybrid method for solving multidimensional conservation laws. (English) Zbl 1183.65104 Numer. Methods Partial Differ. Equations 25, No. 5, 1029-1066 (2009). Reviewer: Vit Dolejsi (Praha) MSC: 65M06 35L65 65M08 65L06 65Y20 PDF BibTeX XML Cite \textit{G. Manzini}, Numer. Methods Partial Differ. Equations 25, No. 5, 1029--1066 (2009; Zbl 1183.65104) Full Text: DOI OpenURL
Braconnier, Benjamin; Nkonga, Boniface An all-speed relaxation scheme for interface flows with surface tension. (English) Zbl 1280.76032 J. Comput. Phys. 228, No. 16, 5722-5739 (2009). MSC: 76M25 65M08 PDF BibTeX XML Cite \textit{B. Braconnier} and \textit{B. Nkonga}, J. Comput. Phys. 228, No. 16, 5722--5739 (2009; Zbl 1280.76032) Full Text: DOI OpenURL
Wright, Grady B.; Guy, Robert D.; Fogelson, Aaron L. An efficient and robust method for simulating two-phase gel dynamics. (English) Zbl 1171.76037 SIAM J. Sci. Comput. 30, No. 5, 2535-2565 (2008). MSC: 76M12 76M20 76A05 PDF BibTeX XML Cite \textit{G. B. Wright} et al., SIAM J. Sci. Comput. 30, No. 5, 2535--2565 (2008; Zbl 1171.76037) Full Text: DOI OpenURL
Gavrilyuk, S. L.; Favrie, N.; Saurel, R. Modelling wave dynamics of compressible elastic materials. (English) Zbl 1155.74020 J. Comput. Phys. 227, No. 5, 2941-2969 (2008). MSC: 74J40 74B20 74S10 76L05 PDF BibTeX XML Cite \textit{S. L. Gavrilyuk} et al., J. Comput. Phys. 227, No. 5, 2941--2969 (2008; Zbl 1155.74020) Full Text: DOI OpenURL
Iske, Armin On the construction of mass conservative and meshless adaptive particle advection methods. en. (English) Zbl 1323.76080 Leitão, V. M. A. (ed.) et al., Advances in meshfree techniques. Invited contributions based on the presentation at the ECCOMAS thematic conference on meshless methods, Lisbon, Portugal, July 11–14, 2005. Dordrecht: Springer (ISBN 978-1-4020-6094-6/hbk; 978-90-481-7533-8/pbk; 978-1-4020-6095-3/ebook). Computational Methods in Applied Sciences (Springer) 5, 169-186 (2007). MSC: 76M28 76M12 76R99 PDF BibTeX XML Cite \textit{A. Iske}, in: Advances in meshfree techniques. Invited contributions based on the presentation at the ECCOMAS thematic conference on meshless methods, Lisbon, Portugal, July 11--14, 2005. Dordrecht: Springer. 169--186 (2007; Zbl 1323.76080) Full Text: DOI OpenURL
Castro, Manuel J.; Milanés, Alberto Pardo; Parés, Carlos Well-balanced numerical schemes based on a generalized hydrostatic reconstruction technique. (English) Zbl 1137.76038 Math. Models Methods Appl. Sci. 17, No. 12, 2055-2113 (2007). MSC: 76M12 76B15 PDF BibTeX XML Cite \textit{M. J. Castro} et al., Math. Models Methods Appl. Sci. 17, No. 12, 2055--2113 (2007; Zbl 1137.76038) Full Text: DOI OpenURL
Yeh, Kao-San The streamline subgrid integration method. I: Quasi-monotonic second-order transport schemes. (English) Zbl 1123.65092 J. Comput. Phys. 225, No. 2, 1632-1652 (2007). MSC: 65M06 35L45 PDF BibTeX XML Cite \textit{K.-S. Yeh}, J. Comput. Phys. 225, No. 2, 1632--1652 (2007; Zbl 1123.65092) Full Text: DOI OpenURL
Zhang, Z. Moving mesh method with conservative interpolation based on \(L^{2}\)-projection. (English) Zbl 1115.76363 Commun. Comput. Phys. 1, No. 5, 930-944 (2006). MSC: 76M12 76M20 76N15 PDF BibTeX XML Cite \textit{Z. Zhang}, Commun. Comput. Phys. 1, No. 5, 930--944 (2006; Zbl 1115.76363) OpenURL
Qamar, S.; Warnecke, G. A space-time conservative method for hyperbolic systems with stiff and non stiff source terms. (English) Zbl 1218.65084 Commun. Comput. Phys. 1, No. 3, 449-478 (2006). MSC: 65M06 76M12 76L05 PDF BibTeX XML Cite \textit{S. Qamar} and \textit{G. Warnecke}, Commun. Comput. Phys. 1, No. 3, 449--478 (2006; Zbl 1218.65084) OpenURL
Rochette, D.; Clain, S. Two-dimensional computation of gas flow in a porous bed characterized by a porosity jump. (English) Zbl 1102.76040 J. Comput. Phys. 219, No. 1, 104-119 (2006). MSC: 76M12 76N15 76S05 PDF BibTeX XML Cite \textit{D. Rochette} and \textit{S. Clain}, J. Comput. Phys. 219, No. 1, 104--119 (2006; Zbl 1102.76040) Full Text: DOI OpenURL
Kim, Kwang Y. New mixed finite volume methods for second order elliptic problems. (English) Zbl 1097.65116 ESAIM, Math. Model. Numer. Anal. 40, No. 1, 123-147 (2006). Reviewer: Adrian Carabineanu (Bucureşti) MSC: 65N30 65N15 35J25 PDF BibTeX XML Cite \textit{K. Y. Kim}, ESAIM, Math. Model. Numer. Anal. 40, No. 1, 123--147 (2006; Zbl 1097.65116) Full Text: DOI Numdam EuDML OpenURL
Jovanovic, Vladimir; Rohde, Christian Error estimates for finite volume approximations of classical solutions for nonlinear systems of hyperbolic balance laws. (English) Zbl 1111.65081 SIAM J. Numer. Anal. 43, No. 6, 2423-2449 (2006). Reviewer: Gerald W. Hedstrom (Pleasanton) MSC: 65M15 65M06 35L65 PDF BibTeX XML Cite \textit{V. Jovanovic} and \textit{C. Rohde}, SIAM J. Numer. Anal. 43, No. 6, 2423--2449 (2006; Zbl 1111.65081) Full Text: DOI OpenURL
Mencinger, Jure Numerical simulation of melting in two-dimensional cavity using adaptive grid. (English) Zbl 1057.76040 J. Comput. Phys. 198, No. 1, 243-264 (2004). MSC: 76M12 76T99 80A22 PDF BibTeX XML Cite \textit{J. Mencinger}, J. Comput. Phys. 198, No. 1, 243--264 (2004; Zbl 1057.76040) Full Text: DOI OpenURL
Iske, Armin; Käser, Martin Conservative semi-Lagrangian advection on adaptive unstructured meshes. (English) Zbl 1048.65084 Numer. Methods Partial Differ. Equations 20, No. 3, 388-411 (2004). MSC: 65M06 35L45 65M50 65M15 PDF BibTeX XML Cite \textit{A. Iske} and \textit{M. Käser}, Numer. Methods Partial Differ. Equations 20, No. 3, 388--411 (2004; Zbl 1048.65084) Full Text: DOI OpenURL
Aprovitola, Andrea; Denaro, Filippo Maria On the application of congruent upwind discretizations for large eddy simulations. (English) Zbl 1136.76376 J. Comput. Phys. 194, No. 1, 329-343 (2004). MSC: 76F65 76M12 76D05 PDF BibTeX XML Cite \textit{A. Aprovitola} and \textit{F. M. Denaro}, J. Comput. Phys. 194, No. 1, 329--343 (2004; Zbl 1136.76376) Full Text: DOI OpenURL
Saurel, R.; Chinnayya, A.; Renaud, F. Thermodynamic analysis and numerical resolution of a turbulent-fully ionized plasma flow model. (English) Zbl 1063.76114 Shock Waves 13, No. 4, 283-297 (2003). MSC: 76X05 76F50 76M12 PDF BibTeX XML Cite \textit{R. Saurel} et al., Shock Waves 13, No. 4, 283--297 (2003; Zbl 1063.76114) Full Text: DOI OpenURL
Bonaventura, Luca; Rosatti, Giorgio A cascadic conjugate gradient algorithm for mass conservative, semi-implicit discretization of the shallow water equations on locally refined structured grids. (English) Zbl 1010.76056 Int. J. Numer. Methods Fluids 40, No. 1-2, 217-230 (2002). MSC: 76M12 76B15 PDF BibTeX XML Cite \textit{L. Bonaventura} and \textit{G. Rosatti}, Int. J. Numer. Methods Fluids 40, No. 1--2, 217--230 (2002; Zbl 1010.76056) Full Text: DOI OpenURL
Kalis, H.; Kangro, I. Simple algorithm’s for the calculation of heat transport problem in plate. (English) Zbl 1006.65093 Math. Model. Anal. 6, No. 1, 85-96 (2001). MSC: 65M06 65M70 35K05 65Y15 PDF BibTeX XML Cite \textit{H. Kalis} and \textit{I. Kangro}, Math. Model. Anal. 6, No. 1, 85--96 (2001; Zbl 1006.65093) OpenURL