Boe, Daniel; Shahbazi, Khosro A positivity preserving high-order finite difference method for compressible two-fluid flows. (English) Zbl 07769110 Numer. Methods Partial Differ. Equations 39, No. 6, 4087-4125 (2023). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{D. Boe} and \textit{K. Shahbazi}, Numer. Methods Partial Differ. Equations 39, No. 6, 4087--4125 (2023; Zbl 07769110) Full Text: DOI
Abedian, Rooholah; Dehghan, Mehdi A high-order weighted essentially nonoscillatory scheme based on exponential polynomials for nonlinear degenerate parabolic equations. (English) Zbl 07778281 Numer. Methods Partial Differ. Equations 38, No. 4, 970-996 (2022). MSC: 65M06 65N06 65L06 65M12 35B65 35K65 35K55 PDFBibTeX XMLCite \textit{R. Abedian} and \textit{M. Dehghan}, Numer. Methods Partial Differ. Equations 38, No. 4, 970--996 (2022; Zbl 07778281) Full Text: DOI
Semplice, M.; Visconti, G. Efficient implementation of adaptive order reconstructions. (English) Zbl 1432.65125 J. Sci. Comput. 83, No. 1, Paper No. 6, 27 p. (2020). MSC: 65M06 65M08 35L65 76M12 PDFBibTeX XMLCite \textit{M. Semplice} and \textit{G. Visconti}, J. Sci. Comput. 83, No. 1, Paper No. 6, 27 p. (2020; Zbl 1432.65125) Full Text: DOI arXiv Link
Shi, YuFeng; Guo, Yan A fifth order alternative compact-WENO finite difference scheme for compressible Euler equations. (English) Zbl 1453.76141 J. Comput. Phys. 397, Article ID 108873, 17 p. (2019). MSC: 76M20 35L65 76N15 76L05 PDFBibTeX XMLCite \textit{Y. Shi} and \textit{Y. Guo}, J. Comput. Phys. 397, Article ID 108873, 17 p. (2019; Zbl 1453.76141) Full Text: DOI
Darian, Hossein Mahmoodi; Bozorgpour, Reza; Shafaee, Maziar Numerical experiments on a hybrid WENO5 filter for shock-capturing. (English) Zbl 1430.76379 Numer. Methods Partial Differ. Equations 35, No. 6, 2375-2406 (2019). MSC: 76M20 65M06 65L06 65N06 76N15 76D05 76L05 PDFBibTeX XMLCite \textit{H. M. Darian} et al., Numer. Methods Partial Differ. Equations 35, No. 6, 2375--2406 (2019; Zbl 1430.76379) Full Text: DOI
Cravero, Isabella; Semplice, Matteo; Visconti, G. Optimal definition of the nonlinear weights in multidimensional Central WENOZ reconstructions. (English) Zbl 1431.65141 SIAM J. Numer. Anal. 57, No. 5, 2328-2358 (2019). Reviewer: Victor Michel-Dansac (Toulouse) MSC: 65M08 65M20 35C20 PDFBibTeX XMLCite \textit{I. Cravero} et al., SIAM J. Numer. Anal. 57, No. 5, 2328--2358 (2019; Zbl 1431.65141) Full Text: DOI arXiv
Friedrich, Jan; Kolb, Oliver Maximum principle satisfying CWENO schemes for nonlocal conservation laws. (English) Zbl 1419.65038 SIAM J. Sci. Comput. 41, No. 2, A973-A988 (2019). Reviewer: Abdallah Bradji (Annaba) MSC: 65M08 65M12 35L65 PDFBibTeX XMLCite \textit{J. Friedrich} and \textit{O. Kolb}, SIAM J. Sci. Comput. 41, No. 2, A973--A988 (2019; Zbl 1419.65038) Full Text: DOI arXiv
Naumann, Alexander; Kolb, Oliver; Semplice, Matteo On a third order CWENO boundary treatment with application to networks of hyperbolic conservation laws. (English) Zbl 1429.65194 Appl. Math. Comput. 325, 252-270 (2018). MSC: 65M06 65M12 35L65 PDFBibTeX XMLCite \textit{A. Naumann} et al., Appl. Math. Comput. 325, 252--270 (2018; Zbl 1429.65194) Full Text: DOI arXiv
Kotovshchikova, Marina; Firsov, Dmitry; Lui, Shiu Hong A third order finite volume WENO scheme for Maxwell’s equations on tetrahedral meshes. (English) Zbl 1386.78023 Commun. Appl. Math. Comput. Sci. 13, No. 1, 87-106 (2018). MSC: 78M12 65M08 78A02 PDFBibTeX XMLCite \textit{M. Kotovshchikova} et al., Commun. Appl. Math. Comput. Sci. 13, No. 1, 87--106 (2018; Zbl 1386.78023) Full Text: DOI
Cravero, I.; Puppo, G.; Semplice, M.; Visconti, G. CWENO: uniformly accurate reconstructions for balance laws. (English) Zbl 1412.65102 Math. Comput. 87, No. 312, 1689-1719 (2018). MSC: 65M08 65M12 PDFBibTeX XMLCite \textit{I. Cravero} et al., Math. Comput. 87, No. 312, 1689--1719 (2018; Zbl 1412.65102) Full Text: DOI arXiv
van Lith, Bart S.; ten Thije Boonkkamp, Jan H. M.; IJzerman, Wilbert L. High-order embedded WENO schemes. (English) Zbl 1382.65264 Bittencourt, Marco L. (ed.) et al., Spectral and high order methods for partial differential equations, ICOSAHOM 2016. Selected papers from the ICOSAHOM conference, June 27 – July 1, 2016, Rio de Janeiro, Brazil. Cham: Springer (ISBN 978-3-319-65869-8/hbk; 978-3-319-65870-4/ebook). Lecture Notes in Computational Science and Engineering 119, 257-268 (2017). MSC: 65M06 35L65 76N15 76M20 PDFBibTeX XMLCite \textit{B. S. van Lith} et al., Lect. Notes Comput. Sci. Eng. 119, 257--268 (2017; Zbl 1382.65264) Full Text: DOI
Yamaleev, Nail K.; Carpenter, Mark H. A family of fourth-order entropy stable nonoscillatory spectral collocation schemes for the 1-D Navier-Stokes equations. (English) Zbl 1378.76079 J. Comput. Phys. 331, 90-107 (2017). MSC: 76M22 65M70 PDFBibTeX XMLCite \textit{N. K. Yamaleev} and \textit{M. H. Carpenter}, J. Comput. Phys. 331, 90--107 (2017; Zbl 1378.76079) Full Text: DOI
Dumbser, Michael; Boscheri, Walter; Semplice, Matteo; Russo, Giovanni Central weighted ENO schemes for hyperbolic conservation laws on fixed and moving unstructured meshes. (English) Zbl 1377.65115 SIAM J. Sci. Comput. 39, No. 6, A2564-A2591 (2017). MSC: 65M08 35L60 76N15 76M12 65Y05 PDFBibTeX XMLCite \textit{M. Dumbser} et al., SIAM J. Sci. Comput. 39, No. 6, A2564--A2591 (2017; Zbl 1377.65115) Full Text: DOI arXiv
Amat, Sergio; Liandrat, Jacques; Ruiz, Juan; Trillo, Juan C. On a power WENO scheme with improved accuracy near discontinuities. (English) Zbl 1377.65099 SIAM J. Sci. Comput. 39, No. 6, A2472-A2507 (2017). MSC: 65M06 65N06 PDFBibTeX XMLCite \textit{S. Amat} et al., SIAM J. Sci. Comput. 39, No. 6, A2472--A2507 (2017; Zbl 1377.65099) Full Text: DOI
Amat, Sergio; Ruiz, Juan New WENO smoothness indicators computationally efficient in the presence of corner discontinuities. (English) Zbl 1370.65008 J. Sci. Comput. 71, No. 3, 1265-1302 (2017). MSC: 65D05 41A05 PDFBibTeX XMLCite \textit{S. Amat} and \textit{J. Ruiz}, J. Sci. Comput. 71, No. 3, 1265--1302 (2017; Zbl 1370.65008) Full Text: DOI
Zhu, Jun; Qiu, Jianxian A new type of modified WENO schemes for solving hyperbolic conservation laws. (English) Zbl 1366.65081 SIAM J. Sci. Comput. 39, No. 3, A1089-A1113 (2017). MSC: 65M06 35L65 PDFBibTeX XMLCite \textit{J. Zhu} and \textit{J. Qiu}, SIAM J. Sci. Comput. 39, No. 3, A1089--A1113 (2017; Zbl 1366.65081) Full Text: DOI
Kolb, Oliver On the full and global accuracy of a compact third order WENO scheme. (English) Zbl 1408.65062 SIAM J. Numer. Anal. 52, No. 5, 2335-2355 (2014). MSC: 65M08 65M12 65M06 PDFBibTeX XMLCite \textit{O. Kolb}, SIAM J. Numer. Anal. 52, No. 5, 2335--2355 (2014; Zbl 1408.65062) Full Text: DOI Link
Pedro, José C.; Banda, Mapundi K.; Sibanda, Precious On one-dimensional arbitrary high-order WENO schemes for systems of hyperbolic conservation laws. (English) Zbl 1307.65116 Comput. Appl. Math. 33, No. 2, 363-384 (2014). MSC: 65M08 35L65 PDFBibTeX XMLCite \textit{J. C. Pedro} et al., Comput. Appl. Math. 33, No. 2, 363--384 (2014; Zbl 1307.65116) Full Text: DOI
Zhang, Shu-hai; Deng, Xiao-gang; Mao, Mei-Liang; Shu, Chi-wang Improvement of convergence to steady state solutions of Euler equations with weighted compact nonlinear schemes. (English) Zbl 1279.65102 Acta Math. Appl. Sin., Engl. Ser. 29, No. 3, 449-464 (2013). MSC: 65M06 35L65 65M12 PDFBibTeX XMLCite \textit{S.-h. Zhang} et al., Acta Math. Appl. Sin., Engl. Ser. 29, No. 3, 449--464 (2013; Zbl 1279.65102) Full Text: DOI
Sun, Tong Numerical smoothness and error analysis on WENO for the nonlinear conservation laws. (English) Zbl 1286.65113 Numer. Methods Partial Differ. Equations 29, No. 6, 1881-1911 (2013). Reviewer: Vit Dolejsi (Praha) MSC: 65M15 65M08 65M06 35L65 PDFBibTeX XMLCite \textit{T. Sun}, Numer. Methods Partial Differ. Equations 29, No. 6, 1881--1911 (2013; Zbl 1286.65113) Full Text: DOI
Ha, Youngsoo; Kim, Chang Ho; Lee, Yeon Ju; Yoon, Jungho Mapped WENO schemes based on a new smoothness indicator for Hamilton-Jacobi equations. (English) Zbl 1248.65089 J. Math. Anal. Appl. 394, No. 2, 670-682 (2012). Reviewer: Rémi Vaillancourt (Ottawa) MSC: 65M06 35L65 35F21 PDFBibTeX XMLCite \textit{Y. Ha} et al., J. Math. Anal. Appl. 394, No. 2, 670--682 (2012; Zbl 1248.65089) Full Text: DOI
Seibold, Benjamin; Rosales, Rodolfo R.; Nave, Jean-Christophe Jet schemes for advection problems. (English) Zbl 1252.65158 Discrete Contin. Dyn. Syst., Ser. B 17, No. 4, 1229-1259 (2012). Reviewer: Temur Jangveladze (Tbilisi) MSC: 65M25 65M12 35L04 PDFBibTeX XMLCite \textit{B. Seibold} et al., Discrete Contin. Dyn. Syst., Ser. B 17, No. 4, 1229--1259 (2012; Zbl 1252.65158) Full Text: DOI arXiv
Aràndiga, F.; Baeza, A.; Belda, A. M.; Mulet, P. Analysis of WENO schemes for full and global accuracy. (English) Zbl 1233.65051 SIAM J. Numer. Anal. 49, No. 2, 893-915 (2011). Reviewer: Iwan Gawriljuk (Eisenach) MSC: 65M06 65M12 35L65 PDFBibTeX XMLCite \textit{F. Aràndiga} et al., SIAM J. Numer. Anal. 49, No. 2, 893--915 (2011; Zbl 1233.65051) Full Text: DOI
Harizanov, S.; Oswald, P. Stability of nonlinear subdivision and multiscale transforms. (English) Zbl 1225.65028 Constr. Approx. 31, No. 3, 359-393 (2010). Reviewer: Francesc Arandiga Llaudes (Burjassot) MSC: 65D18 65T50 26A16 65T60 PDFBibTeX XMLCite \textit{S. Harizanov} and \textit{P. Oswald}, Constr. Approx. 31, No. 3, 359--393 (2010; Zbl 1225.65028) Full Text: DOI
Nave, Jean-Christophe; Rosales, Rodolfo Ruben; Seibold, Benjamin A gradient-augmented level set method with an optimally local, coherent advection scheme. (English) Zbl 1189.65214 J. Comput. Phys. 229, No. 10, 3802-3827 (2010). MSC: 65M25 35L45 65M12 PDFBibTeX XMLCite \textit{J.-C. Nave} et al., J. Comput. Phys. 229, No. 10, 3802--3827 (2010; Zbl 1189.65214) Full Text: DOI arXiv
Zahran, Yousef Hashem A TVD-MUSTA scheme for hyperbolic conservation laws. (English) Zbl 1153.65087 Bull. Belg. Math. Soc. - Simon Stevin 15, No. 3, 419-436 (2008). MSC: 65M06 35L65 PDFBibTeX XMLCite \textit{Y. H. Zahran}, Bull. Belg. Math. Soc. - Simon Stevin 15, No. 3, 419--436 (2008; Zbl 1153.65087) Full Text: Euclid
Lu, Ping; Oliveira, Maria; Liu, Chaoqun High order compact scheme for Dirichlet boundary points. (English) Zbl 1149.65072 Neural Parallel Sci. Comput. 16, No. 2, 273-282 (2008). MSC: 65M06 65M15 35L65 65M20 PDFBibTeX XMLCite \textit{P. Lu} et al., Neural Parallel Sci. Comput. 16, No. 2, 273--282 (2008; Zbl 1149.65072)
Kurganov, Alexander; Petrova, Guergana; Popov, Bojan Adaptive semidiscrete central-upwind schemes for nonconvex hyperbolic conservation laws. (English) Zbl 1154.65356 SIAM J. Sci. Comput. 29, No. 6, 2381-2401 (2007). MSC: 65M20 65M06 65M12 35L65 PDFBibTeX XMLCite \textit{A. Kurganov} et al., SIAM J. Sci. Comput. 29, No. 6, 2381--2401 (2007; Zbl 1154.65356) Full Text: DOI Link
Titarev, V. A.; Toro, E. F. Analysis of ADER and ADER-WAF schemes. (English) Zbl 1119.65083 IMA J. Numer. Anal. 27, No. 3, 616-630 (2007). MSC: 65M06 65M12 35L45 PDFBibTeX XMLCite \textit{V. A. Titarev} and \textit{E. F. Toro}, IMA J. Numer. Anal. 27, No. 3, 616--630 (2007; Zbl 1119.65083) Full Text: DOI Link
Zahran, Yousef Hashem A central WENO-TVD scheme for hyperbolic conservation laws. (English) Zbl 1164.65459 Novi Sad J. Math. 36, No. 2, 25-42 (2006). Reviewer: Boško Jovanović (Beograd) MSC: 65M06 35L65 35Q53 65M20 65L06 PDFBibTeX XMLCite \textit{Y. H. Zahran}, Novi Sad J. Math. 36, No. 2, 25--42 (2006; Zbl 1164.65459) Full Text: EuDML
Levy, Doron; Nayak, Suhas; Shu, Chi-Wang; Zhang, Yong-Tao Central WENO schemes for Hamilton-Jacobi equations on triangular meshes. (English) Zbl 1126.65075 SIAM J. Sci. Comput. 28, No. 6, 2229-2247 (2006). MSC: 65M06 35L60 65M20 65M50 PDFBibTeX XMLCite \textit{D. Levy} et al., SIAM J. Sci. Comput. 28, No. 6, 2229--2247 (2006; Zbl 1126.65075) Full Text: DOI
Wang, C. W.; Liu, T. G.; Khoo, B. C. A real ghost fluid method for the simulation of multimedium compressible flow. (English) Zbl 1114.35119 SIAM J. Sci. Comput. 28, No. 1, 278-302 (2006). Reviewer: Stefan Balint (Timişoara) MSC: 35L45 65C20 76T10 35L67 PDFBibTeX XMLCite \textit{C. W. Wang} et al., SIAM J. Sci. Comput. 28, No. 1, 278--302 (2006; Zbl 1114.35119) Full Text: DOI
Filbet, Francis; Shu, Chi-Wang Approximation of hyperbolic models for chemosensitive movement. (English) Zbl 1141.35396 SIAM J. Sci. Comput. 27, No. 3, 850-872 (2005). MSC: 35K57 65M06 92C15 PDFBibTeX XMLCite \textit{F. Filbet} and \textit{C.-W. Shu}, SIAM J. Sci. Comput. 27, No. 3, 850--872 (2005; Zbl 1141.35396) Full Text: DOI Link
Wendland, Holger On the convergence of a general class of finite volume methods. (English) Zbl 1104.65089 SIAM J. Numer. Anal. 43, No. 3, 987-1002 (2005). Reviewer: Leonid B. Chubarov (Novosibirsk) MSC: 65M12 65M06 65M15 35L65 PDFBibTeX XMLCite \textit{H. Wendland}, SIAM J. Numer. Anal. 43, No. 3, 987--1002 (2005; Zbl 1104.65089) Full Text: DOI Link
Titarev, V. A.; Toro, E. F. MUSTA schemes for multi-dimensional hyperbolic systems: analysis and improvements. (English) Zbl 1073.65553 Int. J. Numer. Methods Fluids 49, No. 2, 117-147 (2005). MSC: 65M06 76N15 65M12 76M20 35L65 PDFBibTeX XMLCite \textit{V. A. Titarev} and \textit{E. F. Toro}, Int. J. Numer. Methods Fluids 49, No. 2, 117--147 (2005; Zbl 1073.65553) Full Text: DOI
Zhang, Yong-Tao; Shu, Chi-Wang High-order WENO schemes for Hamilton-Jacobi equations on triangular meshes. (English) Zbl 1034.65051 SIAM J. Sci. Comput. 24, No. 3, 1005-1030 (2003). MSC: 65K10 65M06 65M12 35L60 49J20 49L25 65M50 PDFBibTeX XMLCite \textit{Y.-T. Zhang} and \textit{C.-W. Shu}, SIAM J. Sci. Comput. 24, No. 3, 1005--1030 (2003; Zbl 1034.65051) Full Text: DOI
Symes, William W.; Qian, Jianliang A slowness matching Eulerian method for multivalued solutions of eikonal equations. (English) Zbl 1035.78017 J. Sci. Comput. 19, No. 1-3, 501-526 (2003). MSC: 78M20 78A05 49M25 35F20 PDFBibTeX XMLCite \textit{W. W. Symes} and \textit{J. Qian}, J. Sci. Comput. 19, No. 1--3, 501--526 (2003; Zbl 1035.78017) Full Text: DOI
Cohen, Albert; Dyn, Nira; Matei, Basarab Quasilinear subdivision schemes with applications to ENO interpolation. (English) Zbl 1046.65071 Appl. Comput. Harmon. Anal. 15, No. 2, 89-116 (2003). Reviewer: Juan Rafael Sendra (Alcalá de Henares) MSC: 65M06 65M12 35L45 65M50 94A08 94A12 PDFBibTeX XMLCite \textit{A. Cohen} et al., Appl. Comput. Harmon. Anal. 15, No. 2, 89--116 (2003; Zbl 1046.65071) Full Text: DOI
Al-Lawatia, Mohamed; Wang, Hong A preliminary investigation on an ELLAM scheme for linear transport equations. (English) Zbl 1017.65075 Numer. Methods Partial Differ. Equations 19, No. 1, 22-43 (2003). MSC: 65M25 35L45 PDFBibTeX XMLCite \textit{M. Al-Lawatia} and \textit{H. Wang}, Numer. Methods Partial Differ. Equations 19, No. 1, 22--43 (2003; Zbl 1017.65075) Full Text: DOI
Qiu, Jianxian; Shu, Chi-Wang On the construction, comparison, and local characteristic decomposition for high-order central WENO schemes. (English) Zbl 1018.65106 J. Comput. Phys. 183, No. 1, 187-209 (2002). MSC: 65M06 65Y20 35L65 35L67 PDFBibTeX XMLCite \textit{J. Qiu} and \textit{C.-W. Shu}, J. Comput. Phys. 183, No. 1, 187--209 (2002; Zbl 1018.65106) Full Text: DOI
Levy, Doron; Puppo, Gabriella; Russo, Giovanni A fourth-order central WENO scheme for multidimensional hyperbolic systems of conservation laws. (English) Zbl 1014.65079 SIAM J. Sci. Comput. 24, No. 2, 480-506 (2002). MSC: 65M06 65M15 35L65 65M50 PDFBibTeX XMLCite \textit{D. Levy} et al., SIAM J. Sci. Comput. 24, No. 2, 480--506 (2002; Zbl 1014.65079) Full Text: DOI
Chan, Tony F.; Zhou, H. M. ENO-wavelet transforms for piecewise smooth functions. (English) Zbl 1030.65147 SIAM J. Numer. Anal. 40, No. 4, 1369-1404 (2002). Reviewer: Karel Najzar (Praha) MSC: 65T60 65D15 94A08 PDFBibTeX XMLCite \textit{T. F. Chan} and \textit{H. M. Zhou}, SIAM J. Numer. Anal. 40, No. 4, 1369--1404 (2002; Zbl 1030.65147) Full Text: DOI
Meister, Andreas (ed.); Struckmeier, Jens (ed.) [Junk, Michael; Munz, Claus-Dieter; Perić, Milovan; Demirdžić, Ismet; Muzaferija, Samir; Russo, Giovanni; Sonar, Thomas] Hyperbolic partial differential equations. Theory, numerics and applications (with contributions by Michael Junk, Claus-Dieter Munz, Milovan Perić, Demirdžić, Samir Muzaferija, Giovanni Russo and Thomas Sonar). (English) Zbl 1012.65086 Braunschweig: Vieweg. xii, 320 p. EUR 39.90; sFr. 69.00 (2002). Reviewer: Song Jiang (Beijing) MSC: 65M06 65M12 35L65 35L67 65-02 35Q30 35Q35 76D05 76N15 76M12 76M20 76L05 76Q05 PDFBibTeX XMLCite \textit{A. Meister} (ed.) and \textit{J. Struckmeier} (ed.), Hyperbolic partial differential equations. Theory, numerics and applications (with contributions by Michael Junk, Claus-Dieter Munz, Milovan Perić, Demirdžić, Samir Muzaferija, Giovanni Russo and Thomas Sonar). Braunschweig: Vieweg (2002; Zbl 1012.65086)
Shi, Jing; Hu, Changqing; Shu, Chi-Wang A technique of treating negative weights in WENO schemes. (English) Zbl 0992.65094 J. Comput. Phys. 175, No. 1, 108-127 (2002). MSC: 65M06 65M12 35L65 PDFBibTeX XMLCite \textit{J. Shi} et al., J. Comput. Phys. 175, No. 1, 108--127 (2002; Zbl 0992.65094) Full Text: DOI Link
Arandiga, F.; Chiavassa, G.; Donat, R. Applications of Harten’s framework for multiresolution: From conservation laws to image compression. (With color plate 7). (English) Zbl 0992.65153 Barth, Timothy J. (ed.) et al., Multiscale and multiresolution methods. Theory and applications. Berlin: Springer. Lect. Notes Comput. Sci. Eng. 20, 281-296, 386 (2002). MSC: 65T60 35L65 42C40 65M60 68U10 PDFBibTeX XMLCite \textit{F. Arandiga} et al., Lect. Notes Comput. Sci. Eng. 20, 281--296, 386 (2002; Zbl 0992.65153)
Ladeinde, Foluso; Cai, Xiaodan; Visbal, Miguel R.; Gaitonde, Datta V. Turbulence spectra characteristics of high-order schemes for direct and large eddy simulation. (English) Zbl 1038.76020 Appl. Numer. Math. 36, No. 4, 447-474 (2001). MSC: 76F65 76M20 76F50 PDFBibTeX XMLCite \textit{F. Ladeinde} et al., Appl. Numer. Math. 36, No. 4, 447--474 (2001; Zbl 1038.76020) Full Text: DOI
Yang, Huanan A local extrapolation method for hyperbolic conservation laws. I: The ENO underlying schemes. (English) Zbl 0982.65092 J. Sci. Comput. 15, No. 2, 231-264 (2000). Reviewer: Thomas Sonar (Braunschweig) MSC: 65M06 35L65 PDFBibTeX XMLCite \textit{H. Yang}, J. Sci. Comput. 15, No. 2, 231--264 (2000; Zbl 0982.65092) Full Text: DOI
Kurganov, Alexander; Levy, Doron A third-order semidiscrete central scheme for conservation laws and convection-diffusion equations. (English) Zbl 0979.65077 SIAM J. Sci. Comput. 22, No. 4, 1461-1488 (2000). Reviewer: Michael Breuß (Hamburg) MSC: 65M06 65M20 65M15 35L65 PDFBibTeX XMLCite \textit{A. Kurganov} and \textit{D. Levy}, SIAM J. Sci. Comput. 22, No. 4, 1461--1488 (2000; Zbl 0979.65077) Full Text: DOI arXiv
Hwang, P.; Fedkiw, R. P.; Merriman, B.; Aslam, T. D.; Karagozian, A. R.; Osher, S. J. Numerical resolution of pulsating detonation waves. (English) Zbl 0987.76066 Combust. Theory Model. 4, No. 3, 217-240 (2000). MSC: 76M20 76L05 76V05 PDFBibTeX XMLCite \textit{P. Hwang} et al., Combust. Theory Model. 4, No. 3, 217--240 (2000; Zbl 0987.76066) Full Text: DOI
Levy, Doron; Puppo, Gabriella; Russo, Giovanni Compact central WENO schemes for multidimensional conservation laws. (English) Zbl 0967.65089 SIAM J. Sci. Comput. 22, No. 2, 656-672 (2000). Reviewer: Vit Dolejsi (Praha) MSC: 65M06 65M12 35L65 35Q53 PDFBibTeX XMLCite \textit{D. Levy} et al., SIAM J. Sci. Comput. 22, No. 2, 656--672 (2000; Zbl 0967.65089) Full Text: DOI arXiv
Balsara, Dinshaw S.; Shu, Chi-Wang Monotonicity preserving weighted essentially non-oscillatory schemes with increasingly high order of accuracy. (English) Zbl 0961.65078 J. Comput. Phys. 160, No. 2, 405-452 (2000). Reviewer: Krzysztof Moszyński (Warszawa) MSC: 65M06 65M20 65M12 35L65 PDFBibTeX XMLCite \textit{D. S. Balsara} and \textit{C.-W. Shu}, J. Comput. Phys. 160, No. 2, 405--452 (2000; Zbl 0961.65078) Full Text: DOI HAL
Bihari, Barna L.; Schwendeman, Donald Multiresolution schemes for the reactive Euler equations. (English) Zbl 0959.76049 J. Comput. Phys. 154, No. 1, 197-230 (1999). Reviewer: Michael Sever (Jerusalem) MSC: 76M12 76V05 76N15 PDFBibTeX XMLCite \textit{B. L. Bihari} and \textit{D. Schwendeman}, J. Comput. Phys. 154, No. 1, 197--230 (1999; Zbl 0959.76049) Full Text: DOI
Lian, Yongsheng; Wang, Ruquan Multiresolution scheme based on WENO schemes. (English. Chinese original) Zbl 0946.65070 Chin. J. Numer. Math. Appl. 21, No. 3, 58-58 (1999); translation from Math. Numer. Sin. 21, No. 2, 215-224 (1999). Reviewer: S.Jiang (Beijing) MSC: 65M06 76M20 35L65 35L67 PDFBibTeX XMLCite \textit{Y. Lian} and \textit{R. Wang}, Chin. J. Numer. Math. Appl. 21, No. 3, 215--224 (1999; Zbl 0946.65070); translation from Math. Numer. Sin. 21, No. 2, 215--224 (1999)
Chuang, Luhan; Katz, I. Norman Numerical methods for finding clustersolutions of optimal control problems. (English) Zbl 0917.65059 SIAM J. Sci. Comput. 20, No. 1, 126-147 (1999). Reviewer: Lars Grüne (Frankfurt) MSC: 65K10 49J20 49J25 49M25 PDFBibTeX XMLCite \textit{L. Chuang} and \textit{I. N. Katz}, SIAM J. Sci. Comput. 20, No. 1, 126--147 (1999; Zbl 0917.65059) Full Text: DOI
Liu, Xu-Dong; Osher, Stanley Convex ENO high order multi-dimensional schemes without field by field decomposition or staggered grids. (English) Zbl 0941.65082 J. Comput. Phys. 142, No. 2, 304-330 (1998). Reviewer: S.Benzoni (Lyon) MSC: 65M06 65M12 35L65 PDFBibTeX XMLCite \textit{X.-D. Liu} and \textit{S. Osher}, J. Comput. Phys. 142, No. 2, 304--330 (1998; Zbl 0941.65082) Full Text: DOI
Davis, Stephen F. Shock capturing with Padé methods. (English) Zbl 0906.65092 Appl. Math. Comput. 89, No. 1-3, 85-98 (1998). Reviewer: A.Meister (Hamburg) MSC: 65M06 65M20 35L65 35Q53 76N15 35L60 PDFBibTeX XMLCite \textit{S. F. Davis}, Appl. Math. Comput. 89, No. 1--3, 85--98 (1998; Zbl 0906.65092) Full Text: DOI
Shen, Yiqing; Wang, Ruquan A fifth-order accurate weighted ENN difference scheme. (English) Zbl 0928.65107 Commun. Nonlinear Sci. Numer. Simul. 2, No. 2, electronic paper No. 11 (1997). MSC: 65M06 65M12 35L65 PDFBibTeX XMLCite \textit{Y. Shen} and \textit{R. Wang}, Commun. Nonlinear Sci. Numer. Simul. 2, No. 2, electronic paper No. 11 (1997; Zbl 0928.65107) Full Text: DOI
Lafon, F.; Osher, S. High order two dimensional nonoscillatory methods for solving Hamilton-Jacobi scalar equations. (English) Zbl 0849.65075 J. Comput. Phys. 123, No. 2, 235-253 (1996). Reviewer: E.Lanckau (Chemnitz) MSC: 65M60 70H20 35L60 PDFBibTeX XMLCite \textit{F. Lafon} and \textit{S. Osher}, J. Comput. Phys. 123, No. 2, 235--253 (1996; Zbl 0849.65075) Full Text: DOI
Bihari, Barna L. Multiresolution schemes for conservation laws with viscosity. (English) Zbl 0840.65093 J. Comput. Phys. 123, No. 1, 207-225 (1996). Reviewer: P.Y.Yalamov (Russe) MSC: 65M06 35L65 PDFBibTeX XMLCite \textit{B. L. Bihari}, J. Comput. Phys. 123, No. 1, 207--225 (1996; Zbl 0840.65093) Full Text: DOI
Bihari, Barna L.; Harten, Ami Application of generalized wavelets: An adaptive multiresolution scheme. (English) Zbl 0840.65092 J. Comput. Appl. Math. 61, No. 3, 275-321 (1995). Reviewer: T.C.Mohan (Madras) MSC: 65M06 35L65 35-04 65Y20 PDFBibTeX XMLCite \textit{B. L. Bihari} and \textit{A. Harten}, J. Comput. Appl. Math. 61, No. 3, 275--321 (1995; Zbl 0840.65092) Full Text: DOI
Xu, Shurong Advanced shock-capturing schemes with high resolution for nonlinear hyperbolic conservation laws. II. (Chinese. English summary) Zbl 0828.65110 Nat. Sci. J. Xiangtan Univ. 15, Suppl., 171-179 (1993). MSC: 65M06 65-03 35L65 01A65 PDFBibTeX XMLCite \textit{S. Xu}, Nat. Sci. J. Xiangtan Univ. 15, 171--179 (1993; Zbl 0828.65110)
Xu, Shurong Advanced shock-capturing schemes with high resolution for nonlinear hyperbolic conservation laws. I. (Chinese. English summary) Zbl 0828.65109 Nat. Sci. J. Xiangtan Univ. 15, Suppl., 164-170 (1993). MSC: 65M06 65-03 01A65 35L65 PDFBibTeX XMLCite \textit{S. Xu}, Nat. Sci. J. Xiangtan Univ. 15, 164--170 (1993; Zbl 0828.65109)
Yang, J. Y.; Hsu, C. A. High-resolution, nonoscillatory schemes for unsteady compressible flows. (English) Zbl 0759.76054 AIAA J. 30, No. 6, 1570-1575 (1992). MSC: 76M20 76N10 76L05 PDFBibTeX XMLCite \textit{J. Y. Yang} and \textit{C. A. Hsu}, AIAA J. 30, No. 6, 1570--1575 (1992; Zbl 0759.76054) Full Text: DOI
Shu, Chi-Wang; Zang, Thomas A.; Erlebacher, Gordon; Whitaker, David; Osher, Stanley High-order ENO schemes applied to two- and three-dimensional compressible flow. (English) Zbl 0741.76052 Appl. Numer. Math. 9, No. 1, 45-71 (1992). MSC: 76M20 76N10 PDFBibTeX XMLCite \textit{C.-W. Shu} et al., Appl. Numer. Math. 9, No. 1, 45--71 (1992; Zbl 0741.76052) Full Text: DOI
Osher, Stanley; Shu, Chi-Wang High-order essentially nonoscillatory schemes for Hamilton-Jacobi equations. (English) Zbl 0736.65066 SIAM J. Numer. Anal. 28, No. 4, 907-922 (1991). Reviewer: V.A.Kostova (Russe) MSC: 65M06 35L45 PDFBibTeX XMLCite \textit{S. Osher} and \textit{C.-W. Shu}, SIAM J. Numer. Anal. 28, No. 4, 907--922 (1991; Zbl 0736.65066) Full Text: DOI
Rogerson, A. M.; Meiburg, E. A numerical study of the convergence properties of ENO schemes. (English) Zbl 0732.65086 J. Sci. Comput. 5, No. 2, 151-167 (1990). Reviewer: E.Lanckau (Chemnitz) MSC: 65M06 65M12 35L65 PDFBibTeX XMLCite \textit{A. M. Rogerson} and \textit{E. Meiburg}, J. Sci. Comput. 5, No. 2, 151--167 (1990; Zbl 0732.65086) Full Text: DOI
Shu, Chi-Wang Numerical experiments on the accuracy of ENO and modified ENO schemes. (English) Zbl 0732.65085 J. Sci. Comput. 5, No. 2, 127-149 (1990). Reviewer: E.Lauckau (Chemnitz) MSC: 65M06 65M12 35L65 PDFBibTeX XMLCite \textit{C.-W. Shu}, J. Sci. Comput. 5, No. 2, 127--149 (1990; Zbl 0732.65085) Full Text: DOI
Shu, Chi-Wang; Osher, Stanley Efficient implementation of essentially nonoscillatory shock-capturing schemes. (English) Zbl 0653.65072 J. Comput. Phys. 77, No. 2, 439-471 (1988). Reviewer: G.Hedstrom MSC: 65M20 76N15 35L60 PDFBibTeX XMLCite \textit{C.-W. Shu} and \textit{S. Osher}, J. Comput. Phys. 77, No. 2, 439--471 (1988; Zbl 0653.65072) Full Text: DOI
Harten, Ami On the nonlinearity of modern shock-capturing schemes. (English) Zbl 0653.65066 Wave motion: theory, modelling, and computation, Proc. Conf. Hon. 60th Birthday P.D. Lax, Publ. Math. Sci. Res. Inst. 7, 147-201 (1987). Reviewer: G.Hedstrom MSC: 65M06 76N15 35L60 PDFBibTeX XML
Harten, Ami; Osher, Stanley; Engquist, Björn; Chakravarthy, Sukumar R. Some results on uniformly high-order accurate essentially nonoscillatory schemes. (English) Zbl 0627.65101 Appl. Numer. Math. 2, 347-377 (1986). Reviewer: P.I.Ialamov MSC: 65M12 65M06 35L65 PDFBibTeX XMLCite \textit{A. Harten} et al., Appl. Numer. Math. 2, 347--377 (1986; Zbl 0627.65101) Full Text: DOI