Biswas, Abhijit; Ketcheson, David I. Multiple-relaxation Runge Kutta methods for conservative dynamical systems. (English) Zbl 1520.65056 J. Sci. Comput. 97, No. 1, Paper No. 4, 26 p. (2023). MSC: 65L06 65L20 65M22 PDFBibTeX XMLCite \textit{A. Biswas} and \textit{D. I. Ketcheson}, J. Sci. Comput. 97, No. 1, Paper No. 4, 26 p. (2023; Zbl 1520.65056) Full Text: DOI arXiv
Ranocha, Hendrik; Dalcin, Lisandro; Parsani, Matteo; Ketcheson, David I. Optimized Runge-Kutta methods with automatic step size control for compressible computational fluid dynamics. (English) Zbl 1513.65228 Commun. Appl. Math. Comput. 4, No. 4, 1191-1228 (2022). MSC: 65L06 65M20 65M70 76M10 76M22 76N99 35L50 PDFBibTeX XMLCite \textit{H. Ranocha} et al., Commun. Appl. Math. Comput. 4, No. 4, 1191--1228 (2022; Zbl 1513.65228) Full Text: DOI arXiv
De Luna, Manuel Quezada; Ketcheson, David I. Maximum principle preserving space and time flux limiting for diagonally implicit Runge-Kutta discretizations of scalar convection-diffusion equations. (English) Zbl 1503.65198 J. Sci. Comput. 92, No. 3, Paper No. 102, 28 p. (2022). Reviewer: Abdallah Bradji (Annaba) MSC: 65M08 65M06 65L06 65N08 65M12 35L65 76R50 76M12 76M20 PDFBibTeX XMLCite \textit{M. Q. De Luna} and \textit{D. I. Ketcheson}, J. Sci. Comput. 92, No. 3, Paper No. 102, 28 p. (2022; Zbl 1503.65198) Full Text: DOI arXiv
Nüßlein, Stephan; Ranocha, Hendrik; Ketcheson, David I. Positivity-preserving adaptive Runge-Kutta methods. (English) Zbl 1480.65175 Commun. Appl. Math. Comput. Sci. 16, No. 2, 155-179 (2021). MSC: 65L06 65L20 65M12 PDFBibTeX XMLCite \textit{S. Nüßlein} et al., Commun. Appl. Math. Comput. Sci. 16, No. 2, 155--179 (2021; Zbl 1480.65175) Full Text: DOI arXiv
Ranocha, Hendrik; Mitsotakis, Dimitrios; Ketcheson, David I. A broad class of conservative numerical methods for dispersive wave equations. (English) Zbl 1473.65154 Commun. Comput. Phys. 29, No. 4, 979-1029 (2021). MSC: 65M12 65M06 65M60 65M70 65M20 65L06 35Q35 76B15 PDFBibTeX XMLCite \textit{H. Ranocha} et al., Commun. Comput. Phys. 29, No. 4, 979--1029 (2021; Zbl 1473.65154) Full Text: DOI arXiv
Mitsotakis, Dimitrios; Ranocha, Hendrik; Ketcheson, David I.; Süli, Endre A conservative fully discrete numerical method for the regularized shallow water wave equations. (English) Zbl 1468.65146 SIAM J. Sci. Comput. 43, No. 2, B508-B537 (2021). MSC: 65M60 65L06 76B15 35Q35 PDFBibTeX XMLCite \textit{D. Mitsotakis} et al., SIAM J. Sci. Comput. 43, No. 2, B508--B537 (2021; Zbl 1468.65146) Full Text: DOI arXiv
Ketcheson, David I.; Seibold, Benjamin; Shirokoff, David; Zhou, Dong DIRK schemes with high weak stage order. (English) Zbl 1482.65114 Sherwin, Spencer J. (ed.) et al., Spectral and high order methods for partial differential equations, ICOSAHOM 2018. Selected papers from the ICOSAHOM conference, London, UK, July 9–13, 2018. Cham: Springer. Lect. Notes Comput. Sci. Eng. 134, 453-463 (2020). MSC: 65L06 PDFBibTeX XMLCite \textit{D. I. Ketcheson} et al., Lect. Notes Comput. Sci. Eng. 134, 453--463 (2020; Zbl 1482.65114) Full Text: DOI arXiv
Ranocha, Hendrik; Ketcheson, David I. Energy stability of explicit Runge-Kutta methods for nonautonomous or nonlinear problems. (English) Zbl 1457.65032 SIAM J. Numer. Anal. 58, No. 6, 3382-3405 (2020). MSC: 65L06 65L20 65M12 65M20 PDFBibTeX XMLCite \textit{H. Ranocha} and \textit{D. I. Ketcheson}, SIAM J. Numer. Anal. 58, No. 6, 3382--3405 (2020; Zbl 1457.65032) Full Text: DOI arXiv
Ranocha, Hendrik; Lóczi, Lajos; Ketcheson, David I. General relaxation methods for initial-value problems with application to multistep schemes. (English) Zbl 1456.65051 Numer. Math. 146, No. 4, 875-906 (2020). MSC: 65L06 65L20 65M12 65M70 65P10 PDFBibTeX XMLCite \textit{H. Ranocha} et al., Numer. Math. 146, No. 4, 875--906 (2020; Zbl 1456.65051) Full Text: DOI arXiv
Ranocha, Hendrik; Ketcheson, David I. Relaxation Runge-Kutta methods for Hamiltonian problems. (English) Zbl 1456.65050 J. Sci. Comput. 84, No. 1, Paper No. 17, 27 p. (2020). MSC: 65L06 65L20 65M12 65M70 65P10 PDFBibTeX XMLCite \textit{H. Ranocha} and \textit{D. I. Ketcheson}, J. Sci. Comput. 84, No. 1, Paper No. 17, 27 p. (2020; Zbl 1456.65050) Full Text: DOI arXiv
Ranocha, Hendrik; Sayyari, Mohammed; Dalcin, Lisandro; Parsani, Matteo; Ketcheson, David I. Relaxation Runge-Kutta methods: fully discrete explicit entropy-stable schemes for the compressible Euler and Navier-Stokes equations. (English) Zbl 1432.76207 SIAM J. Sci. Comput. 42, No. 2, A612-A638 (2020). MSC: 76M99 65M22 65L06 35Q30 35Q31 76N10 PDFBibTeX XMLCite \textit{H. Ranocha} et al., SIAM J. Sci. Comput. 42, No. 2, A612--A638 (2020; Zbl 1432.76207) Full Text: DOI arXiv
Ketcheson, David I. Relaxation Runge-Kutta methods: conservation and stability for inner-product norms. (English) Zbl 1427.65115 SIAM J. Numer. Anal. 57, No. 6, 2850-2870 (2019). MSC: 65L06 35L50 PDFBibTeX XMLCite \textit{D. I. Ketcheson}, SIAM J. Numer. Anal. 57, No. 6, 2850--2870 (2019; Zbl 1427.65115) Full Text: DOI arXiv
Higueras, Inmaculada; Ketcheson, David I.; Kocsis, Tihamér A. Optimal monotonicity-preserving perturbations of a given Runge-Kutta method. (English) Zbl 1397.65103 J. Sci. Comput. 76, No. 3, 1337-1369 (2018). MSC: 65L06 65L20 65M20 PDFBibTeX XMLCite \textit{I. Higueras} et al., J. Sci. Comput. 76, No. 3, 1337--1369 (2018; Zbl 1397.65103) Full Text: DOI arXiv
Hadjimichael, Yiannis; Ketcheson, David I. Strong-stability-preserving additive linear multistep methods. (English) Zbl 1458.65084 Math. Comput. 87, No. 313, 2295-2320 (2018). MSC: 65L06 65L05 65M20 PDFBibTeX XMLCite \textit{Y. Hadjimichael} and \textit{D. I. Ketcheson}, Math. Comput. 87, No. 313, 2295--2320 (2018; Zbl 1458.65084) Full Text: DOI arXiv
Ketcheson, David I.; Lóczi, Lajos; Jangabylova, Aliya; Kusmanov, Adil Dense output for strong stability preserving Runge-Kutta methods. (English) Zbl 1373.65048 J. Sci. Comput. 71, No. 3, 944-958 (2017). Reviewer: Kanakadurga Sivakumar (Chennai) MSC: 65L06 65L20 34A34 PDFBibTeX XMLCite \textit{D. I. Ketcheson} et al., J. Sci. Comput. 71, No. 3, 944--958 (2017; Zbl 1373.65048) Full Text: DOI arXiv
Bresten, Christopher; Gottlieb, Sigal; Grant, Zachary; Higgs, Daniel; Ketcheson, David I.; Németh, Adrian Explicit strong stability preserving multistep Runge-Kutta methods. (English) Zbl 1355.65120 Math. Comput. 86, No. 304, 747-769 (2017). MSC: 65M20 35L20 65L06 65M12 35L02 PDFBibTeX XMLCite \textit{C. Bresten} et al., Math. Comput. 86, No. 304, 747--769 (2017; Zbl 1355.65120) Full Text: DOI arXiv
Hadjimichael, Yiannis; Ketcheson, David I.; Lóczi, Lajos; Németh, Adrián Strong stability preserving explicit linear multistep methods with variable step size. (English) Zbl 1348.65126 SIAM J. Numer. Anal. 54, No. 5, 2799-2832 (2016). MSC: 65M20 35L70 65L06 65L50 34A34 65M12 PDFBibTeX XMLCite \textit{Y. Hadjimichael} et al., SIAM J. Numer. Anal. 54, No. 5, 2799--2832 (2016; Zbl 1348.65126) Full Text: DOI arXiv
Ketcheson, David; Lóczi, Lajos; Kocsis, Tihamér A. On the absolute stability regions corresponding to partial sums of the exponential function. (English) Zbl 1328.65169 IMA J. Numer. Anal. 35, No. 3, 1426-1455 (2015). Reviewer: Johannes Schropp (Konstanz) MSC: 65L20 65L06 65L05 34A34 PDFBibTeX XMLCite \textit{D. Ketcheson} et al., IMA J. Numer. Anal. 35, No. 3, 1426--1455 (2015; Zbl 1328.65169) Full Text: DOI arXiv
Hundsdorfer, Willem; Ketcheson, David I.; Savostianov, Igor Error analysis of explicit partitioned Runge-Kutta schemes for conservation laws. (English) Zbl 1319.65089 J. Sci. Comput. 63, No. 3, 633-653 (2015). MSC: 65M20 35L65 65L06 65M12 65M06 PDFBibTeX XMLCite \textit{W. Hundsdorfer} et al., J. Sci. Comput. 63, No. 3, 633--653 (2015; Zbl 1319.65089) Full Text: DOI arXiv
Ketcheson, David I.; Waheed, Umair bin A comparison of high-order explicit Runge-Kutta, extrapolation, and deferred correction methods in serial and parallel. (English) Zbl 1314.65102 Commun. Appl. Math. Comput. Sci. 9, No. 2, 175-200 (2014). MSC: 65L06 65Y05 PDFBibTeX XMLCite \textit{D. I. Ketcheson} and \textit{U. b. Waheed}, Commun. Appl. Math. Comput. Sci. 9, No. 2, 175--200 (2014; Zbl 1314.65102) Full Text: DOI arXiv
Ketcheson, David I.; Lóczi, Lajos; Parsani, Matteo Internal error propagation in explicit Runge-Kutta methods. (English) Zbl 1309.65091 SIAM J. Numer. Anal. 52, No. 5, 2227-2249 (2014). MSC: 65L70 65L05 65L06 65L20 34A34 PDFBibTeX XMLCite \textit{D. I. Ketcheson} et al., SIAM J. Numer. Anal. 52, No. 5, 2227--2249 (2014; Zbl 1309.65091) Full Text: DOI arXiv
Kubatko, Ethan J.; Yeager, Benjamin A.; Ketcheson, David I. Optimal strong-stability-preserving Runge-Kutta time discretizations for discontinuous Galerkin methods. (English) Zbl 1304.65219 J. Sci. Comput. 60, No. 2, 313-344 (2014). MSC: 65M60 65L06 65M20 65M12 35L65 PDFBibTeX XMLCite \textit{E. J. Kubatko} et al., J. Sci. Comput. 60, No. 2, 313--344 (2014; Zbl 1304.65219) Full Text: DOI
Lóczi, Lajos; Ketcheson, David I. Rational functions with maximal radius of absolute monotonicity. (English) Zbl 1291.65222 LMS J. Comput. Math. 17, 159-205 (2014). MSC: 65L06 68W30 41A20 49K30 PDFBibTeX XMLCite \textit{L. Lóczi} and \textit{D. I. Ketcheson}, LMS J. Comput. Math. 17, 159--205 (2014; Zbl 1291.65222) Full Text: DOI arXiv
Ketcheson, David I.; Macdonald, Colin B.; Ruuth, Steven J. Spatially partitioned embedded Runge-Kutta methods. (English) Zbl 1285.65061 SIAM J. Numer. Anal. 51, No. 5, 2887-2910 (2013). Reviewer: Fernando Casas (Castellon) MSC: 65M20 35L65 65L06 65M12 PDFBibTeX XMLCite \textit{D. I. Ketcheson} et al., SIAM J. Numer. Anal. 51, No. 5, 2887--2910 (2013; Zbl 1285.65061) Full Text: DOI arXiv
Hadjimichael, Yiannis; Macdonald, Colin B.; Ketcheson, David I.; Verner, James H. Strong stability preserving explicit Runge-Kutta methods of maximal effective order. (English) Zbl 1278.65116 SIAM J. Numer. Anal. 51, No. 4, 2149-2165 (2013). Reviewer: Qin Meng Zhao (Beijing) MSC: 65L20 65M20 65L06 34A34 65L05 PDFBibTeX XMLCite \textit{Y. Hadjimichael} et al., SIAM J. Numer. Anal. 51, No. 4, 2149--2165 (2013; Zbl 1278.65116) Full Text: DOI arXiv
Parsani, M.; Ketcheson, David I.; Deconinck, W. Optimized explicit Runge-Kutta schemes for the spectral difference method applied to wave propagation problems. (English) Zbl 1266.65157 SIAM J. Sci. Comput. 35, No. 2, A957-A986 (2013). MSC: 65M20 65L06 35L50 PDFBibTeX XMLCite \textit{M. Parsani} et al., SIAM J. Sci. Comput. 35, No. 2, A957--A986 (2013; Zbl 1266.65157) Full Text: DOI arXiv
Ketcheson, David I.; Parsani, Matteo; LeVeque, Randall J. High-order wave propagation algorithms for hyperbolic systems. (English) Zbl 1264.65151 SIAM J. Sci. Comput. 35, No. 1, A351-A377 (2013). MSC: 65M20 65M08 65L06 35L65 65M12 PDFBibTeX XMLCite \textit{D. I. Ketcheson} et al., SIAM J. Sci. Comput. 35, No. 1, A351--A377 (2013; Zbl 1264.65151) Full Text: DOI arXiv
Ketcheson, David I.; Ahmadia, Aron J. Optimal stability polynomials for numerical integration of initial value problems. (English) Zbl 1259.65114 Commun. Appl. Math. Comput. Sci. 7, No. 2, 247-271 (2012). MSC: 65L05 65L20 65L06 34A30 65M20 90C26 35L02 PDFBibTeX XMLCite \textit{D. I. Ketcheson} and \textit{A. J. Ahmadia}, Commun. Appl. Math. Comput. Sci. 7, No. 2, 247--271 (2012; Zbl 1259.65114) Full Text: DOI arXiv Link
Ketcheson, David I.; Gottlieb, Sigal; Macdonald, Colin B. Strong stability preserving two-step Runge-Kutta methods. (English) Zbl 1240.65278 SIAM J. Numer. Anal. 49, No. 6, 2618-2639 (2011). Reviewer: Fernando Casas (Castellon) MSC: 65M20 65L06 65M06 65M12 35L65 PDFBibTeX XMLCite \textit{D. I. Ketcheson} et al., SIAM J. Numer. Anal. 49, No. 6, 2618--2639 (2011; Zbl 1240.65278) Full Text: DOI arXiv
Ketcheson, David I. Step sizes for strong stability preservation with downwind-biased operators. (English) Zbl 1229.65136 SIAM J. Numer. Anal. 49, No. 4, 1649-1660 (2011). Reviewer: Kai Diethelm (Braunschweig) MSC: 65L20 65L07 65L06 65L05 65L70 34D20 34A34 65M20 PDFBibTeX XMLCite \textit{D. I. Ketcheson}, SIAM J. Numer. Anal. 49, No. 4, 1649--1660 (2011; Zbl 1229.65136) Full Text: DOI arXiv
Gottlieb, Sigal; Ketcheson, David; Shu, Chi-Wang Strong stability preserving Runge-Kutta and multistep time discretizations. (English) Zbl 1241.65064 Hackensack, NJ: World Scientific (ISBN 978-981-4289-26-9/hbk; 978-981-4289-27-6/ebook). xii, 176 p. (2011). Reviewer: Kai Diethelm (Braunschweig) MSC: 65L06 65L20 65-02 65L05 65M20 35L51 34A34 PDFBibTeX XMLCite \textit{S. Gottlieb} et al., Strong stability preserving Runge-Kutta and multistep time discretizations. Hackensack, NJ: World Scientific (2011; Zbl 1241.65064) Full Text: Link
Ketcheson, David I. Runge-Kutta methods with minimum storage implementations. (English) Zbl 1183.65093 J. Comput. Phys. 229, No. 5, 1763-1773 (2010). MSC: 65L06 65L05 34A34 65M20 65L70 35K55 PDFBibTeX XMLCite \textit{D. I. Ketcheson}, J. Comput. Phys. 229, No. 5, 1763--1773 (2010; Zbl 1183.65093) Full Text: DOI
Ketcheson, David I. Computation of optimal monotonicity preserving general linear methods. (English) Zbl 1198.65117 Math. Comput. 78, No. 267, 1497-1513 (2009). MSC: 65L06 PDFBibTeX XMLCite \textit{D. I. Ketcheson}, Math. Comput. 78, No. 267, 1497--1513 (2009; Zbl 1198.65117) Full Text: DOI
Ketcheson, David I.; Macdonald, Colin B.; Gottlieb, Sigal Optimal implicit strong stability preserving Runge-Kutta methods. (English) Zbl 1157.65046 Appl. Numer. Math. 59, No. 2, 373-392 (2009). MSC: 65L06 65L05 65L20 34A34 PDFBibTeX XMLCite \textit{D. I. Ketcheson} et al., Appl. Numer. Math. 59, No. 2, 373--392 (2009; Zbl 1157.65046) Full Text: DOI
Ketcheson, David I. Highly efficient strong stability-preserving Runge-Kutta methods with low-storage implementations. (English) Zbl 1168.65382 SIAM J. Sci. Comput. 30, No. 4, 2113-2136 (2008). MSC: 65M20 35K55 65L06 65M50 PDFBibTeX XMLCite \textit{D. I. Ketcheson}, SIAM J. Sci. Comput. 30, No. 4, 2113--2136 (2008; Zbl 1168.65382) Full Text: DOI
Ketcheson, D. I.; LeVeque, R. J. WENOCLAW: A higher order wave propagation method. (English) Zbl 1138.65084 Benzoni-Gavage, Sylvie (ed.) et al., Hyperbolic problems. Theory, numerics and applications. Proceedings of the 11th international conference on hyperbolic problems, Ecole Normale Supérieure, Lyon, France, July 17–21, 2006. Berlin: Springer (ISBN 978-3-540-75711-5/hbk). 609-616 (2008). MSC: 65M20 65L06 35L65 PDFBibTeX XMLCite \textit{D. I. Ketcheson} and \textit{R. J. LeVeque}, in: Hyperbolic problems. Theory, numerics and applications. Proceedings of the 11th international conference on hyperbolic problems, Ecole Normale Supérieure, Lyon, France, July 17--21, 2006. Berlin: Springer. 609--616 (2008; Zbl 1138.65084)
Ketcheson, David I.; Robinson, Allen C. On the practical importance of the SSP property for Runge-Kutta time integrators for some common Godunov-type schemes. (English) Zbl 1071.65121 Int. J. Numer. Methods Fluids 48, No. 3, 271-303 (2005). MSC: 65M06 65L06 65M12 35L65 PDFBibTeX XMLCite \textit{D. I. Ketcheson} and \textit{A. C. Robinson}, Int. J. Numer. Methods Fluids 48, No. 3, 271--303 (2005; Zbl 1071.65121) Full Text: DOI