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Found 30 Documents (Results 1–30)

A class of bound-preserving high order schemes: the main ideas and recent developments. (English) Zbl 1484.65234

Brenner, Susanne C. (ed.) et al., 75 years of mathematics of computation. Symposium celebrating 75 years of mathematics of computation, Institute for Computational and Experimental Research in Mathematics, ICERM, Providence, RI, USA, November 1–3, 2018. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 754, 247-259 (2020).
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A brief survey on high order numerical methods for convection dominated problems. (English) Zbl 1380.65182

Lin, Chang-Shou (ed.) et al., Proceedings of the sixth international congress of Chinese mathematicians, ICCM 2013, Taipei, Taiwan, July 14–19, 2013. Volume I. Somerville, MA: International Press; Beijing: Higher Education Press (ISBN 978-1-57146-348-7/pbk; 978-1-57146-350-0/set). Advanced Lectures in Mathematics (ALM) 36, 119-133 (2017).
MSC:  65M06 65M60 65M70
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Bound-preserving high order finite volume schemes for conservation laws and convection-diffusion equations. (English) Zbl 1372.65251

Cancès, Clément (ed.) et al., Finite volumes for complex applications VIII – methods and theoretical aspects. FVCA 8, Lille, France, June 12–16, 2017. Cham: Springer (ISBN 978-3-319-57396-0/hbk; 978-3-319-57397-7/ebook; 978-3-319-58818-6/set). Springer Proceedings in Mathematics & Statistics 199, 3-14 (2017).
MSC:  65M08 65M12 76M12
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Discontinuous Galerkin methods for time-dependent convection dominated problems: basics, recent developments and comparison with other methods. (English) Zbl 1357.65179

Barrenechea, Gabriel R. (ed.) et al., Building bridges: connections and challenges in modern approaches to numerical partial differential equations. Selected papers based on the presentations at the 101st LMS-EPSRC symposium, Durham, UK, July 8–16, 2014. Cham: Springer (ISBN 978-3-319-41638-0/hbk; 978-3-319-41640-3/ebook). Lecture Notes in Computational Science and Engineering 114, 371-399 (2016).
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Riemann problem and shock capturing schemes. (English) Zbl 1356.65216

Ji, Lizhen (ed.) et al., The legacy of Bernhard Riemann after one hundred and fifty years. Volume II. Somerville, MA: International Press; Beijing: Higher Education Press (ISBN 978-1-57146-319-7/pbk; 978-1-57146-316-6/set). Advanced Lectures in Mathematics (ALM) 35, 2, 681-689 (2016).
MSC:  65M06 35L65
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Discontinuous Galerkin method for time-dependent convection dominated partial differential equations. (English) Zbl 1388.65107

Jang, Sun Young (ed.) et al., Proceedings of the International Congress of Mathematicians (ICM 2014), Seoul, Korea, August 13–21, 2014. Vol. IV: Invited lectures. Seoul: KM Kyung Moon Sa (ISBN 978-89-6105-807-0/hbk; 978-89-6105-803-2/set). 767-785 (2014).
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Discontinuous Galerkin method for time-dependent problems: survey and recent developments. (English) Zbl 1282.65122

Feng, Xiaobing (ed.) et al., Recent developments in discontinuous Galerkin finite element methods for partial differential equations. Papers based on the 2012 John H. Barrett memorial lectures, Knoxville, TN, USA, May 9–11, 2012. Cham: Springer (ISBN 978-3-319-01817-1/hbk; 978-3-319-01818-8/ebook). The IMA Volumes in Mathematics and its Applications 157, 25-62 (2014).
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Survey on discontinuous Galerkin methods for Hamilton-Jacobi equations. (English) Zbl 1278.65157

Li, Jichun (ed.) et al., Recent advances in scientific computing and applications. Eighth international conference on scientific computing and applications, University of Nevada, Las Vegas, NV, USA, April 1–4, 2012. Proceedings. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-8737-0/hbk; 978-0-8218-9501-6/ebook). Contemporary Mathematics 586, 323-330 (2013).
MSC:  65M60
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A brief survey on high order accurate maximum principle satisfying and positivity preserving discontinuous Galerkin and finite volume schemes for conservation laws. (English) Zbl 1247.65130

Ji, Lizhen (ed.) et al., Fifth international congress of Chinese mathematicians. Proceedings of the ICCM ’10, Beijing, China, December 17–22, 2010. Part 2. Providence, RI: American Mathematical Society (AMS); Somerville, MA: International Press (ISBN 978-0-8218-7587-2/pbk; 978-0-8218-7555-1/set). AMS/IP Studies in Advanced Mathematics 51, pt.2, 747-758 (2012).
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Discontinuous Galerkin methods for convection dominated partial differential equations. (English) Zbl 1167.65437

Lau, Ka-Sing (ed.) et al., Third international congress of Chinese mathematicians. Part 1. Proceedings of the ICCM ’04, Hong Kong, China, December 17–22, 2004. Providence, RI: American Mathematical Society (AMS); Somerville, MA: International Press (ISBN 978-0-8218-4454-0/pbk; 978-0-8218-4416-8/set). AMS/IP Studies in Advanced Mathematics 42, 1, 63-73 (2008).
MSC:  65M60
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An overview on high-order numerical methods for convection-dominated PDEs. (English) Zbl 1062.76037

Hou, Thomas Y. (ed.) et al., Hyperbolic problems: Theory, numerics, applications. Proceedings of the ninth international conference on hyperbolic problems, Pasadena, CA, USA, March 25–29, 2002. Berlin: Springer (ISBN 3-540-44333-9/hbk). 79-88 (2003).
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A survey of strong stability preserving high order time discretizations. (English) Zbl 1494.65063

Estep, Donald (ed.) et al., Collected lectures on the preservation of stability under discretization. Lectures presented at the workshop, Colorado State University, Fort Collins, CO, USA, May 30–June 2, 2001. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM). 51-65 (2002).
MSC:  65L20 65M20
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Essentially non-oscillatory and weighted essentially non-oscillatory schemes for hyperbolic conservation laws. (English) Zbl 0927.65111

Quarteroni, Alfio (ed.) et al., Advanced numerical approximation of nonlinear hyperbolic equations. Lectures given at the 2nd session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Cetraro, Italy, June 23–28, 1997. Berlin: Springer. Lect. Notes Math. 1697, 325-432 (1998).
MSC:  65M06 35L65 65-02
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Essentially non-oscillatory finite difference, finite volume and discontinuous Galerkin finite element methods for conservation laws. (English) Zbl 0843.65069

Bainov, D. (ed.) et al., Proceedings of the third international colloquium on numerical analysis, Plovdiv, Bulgaria, August 13-17, 1994. Utrecht: VSP. 171-180 (1995).
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