Li, Buyang; Ma, Shu A high-order exponential integrator for nonlinear parabolic equations with nonsmooth initial data. (English) Zbl 1464.65051 J. Sci. Comput. 87, No. 1, Paper No. 23, 16 p. (2021). MSC: 65J08 35K55 PDFBibTeX XMLCite \textit{B. Li} and \textit{S. Ma}, J. Sci. Comput. 87, No. 1, Paper No. 23, 16 p. (2021; Zbl 1464.65051) Full Text: DOI arXiv
Gondal, Muhammad Asif; Rehman, Inayatur; Razzaque, Asima Convergence of an exponential Runge-Kutta method for non-smooth initial data. (English) Zbl 1438.65148 Eur. J. Pure Appl. Math. 12, No. 3, 1215-1230 (2019). MSC: 65L06 PDFBibTeX XMLCite \textit{M. A. Gondal} et al., Eur. J. Pure Appl. Math. 12, No. 3, 1215--1230 (2019; Zbl 1438.65148) Full Text: Link
Wang, Bin; Wu, Xinyuan Exponential collocation methods for conservative or dissipative systems. (English) Zbl 1418.65093 J. Comput. Appl. Math. 360, 99-116 (2019). MSC: 65L60 65L05 65P10 PDFBibTeX XMLCite \textit{B. Wang} and \textit{X. Wu}, J. Comput. Appl. Math. 360, 99--116 (2019; Zbl 1418.65093) Full Text: DOI arXiv
Mukam, Jean Daniel; Tambue, Antoine A note on exponential Rosenbrock-Euler method for the finite element discretization of a semilinear parabolic partial differential equation. (English) Zbl 1434.65188 Comput. Math. Appl. 76, No. 7, 1719-1738 (2018). MSC: 65M60 65M15 35K58 65M12 65M06 PDFBibTeX XMLCite \textit{J. D. Mukam} and \textit{A. Tambue}, Comput. Math. Appl. 76, No. 7, 1719--1738 (2018; Zbl 1434.65188) Full Text: DOI arXiv
Ortiz, Michael; Schmidt, Bernd; Stefanelli, Ulisse A variational approach to Navier-Stokes. (English) Zbl 1406.35237 Nonlinearity 31, No. 12, 5664-5682 (2018). MSC: 35Q30 76D05 35A15 35D30 35B65 49J40 PDFBibTeX XMLCite \textit{M. Ortiz} et al., Nonlinearity 31, No. 12, 5664--5682 (2018; Zbl 1406.35237) Full Text: DOI arXiv
Wang, Bin; Li, Ting; Wu, Yajun Arbitrary-order functionally fitted energy-diminishing methods for gradient systems. (English) Zbl 1458.65106 Appl. Math. Lett. 83, 130-139 (2018). MSC: 65L99 34A09 PDFBibTeX XMLCite \textit{B. Wang} et al., Appl. Math. Lett. 83, 130--139 (2018; Zbl 1458.65106) Full Text: DOI arXiv
Weller, Stephan; Bänsch, Eberhard Time discretization for capillary flow: beyond backward Euler. (English) Zbl 1391.76588 Bothe, Dieter (ed.) et al., Transport processes at fluidic interfaces. Basel: Birkhäuser/Springer (ISBN 978-3-319-56601-6/hbk; 978-3-319-56602-3/ebook). Advances in Mathematical Fluid Mechanics, 121-143 (2017). MSC: 76M25 76M10 76D45 65M20 PDFBibTeX XMLCite \textit{S. Weller} and \textit{E. Bänsch}, in: Transport processes at fluidic interfaces. Basel: Birkhäuser/Springer. 121--143 (2017; Zbl 1391.76588) Full Text: DOI
Kovács, Balázs; Li, Buyang; Lubich, Christian A-stable time discretizations preserve maximal parabolic regularity. (English) Zbl 1355.65122 SIAM J. Numer. Anal. 54, No. 6, 3600-3624 (2016). MSC: 65M20 35K55 65L06 65M12 65M06 PDFBibTeX XMLCite \textit{B. Kovács} et al., SIAM J. Numer. Anal. 54, No. 6, 3600--3624 (2016; Zbl 1355.65122) Full Text: DOI arXiv
Wulff, Claudia; Evans, Chris Runge-Kutta time semidiscretizations of semilinear PDEs with non-smooth data. (English) Zbl 1356.65143 Numer. Math. 134, No. 2, 413-440 (2016). Reviewer: Fernando Casas (Castellon) MSC: 65J08 65J15 65M12 65M15 65M20 35L72 35Q55 35K90 PDFBibTeX XMLCite \textit{C. Wulff} and \textit{C. Evans}, Numer. Math. 134, No. 2, 413--440 (2016; Zbl 1356.65143) Full Text: DOI arXiv
Droniou, Jérôme; Eymard, Robert Uniform-in-time convergence of numerical methods for non-linear degenerate parabolic equations. (English) Zbl 1342.65180 Numer. Math. 132, No. 4, 721-766 (2016). Reviewer: Pavel Burda (Praha) MSC: 65M12 35K65 46N40 65M60 PDFBibTeX XMLCite \textit{J. Droniou} and \textit{R. Eymard}, Numer. Math. 132, No. 4, 721--766 (2016; Zbl 1342.65180) Full Text: DOI arXiv
Garvie, Marcus R.; Trenchea, Catalin A three level finite element approximation of a pattern formation model in developmental biology. (English) Zbl 1377.35154 Numer. Math. 127, No. 3, 397-422 (2014). Reviewer: Rob Corless (London, ON) MSC: 35K57 65M60 65M15 92C15 PDFBibTeX XMLCite \textit{M. R. Garvie} and \textit{C. Trenchea}, Numer. Math. 127, No. 3, 397--422 (2014; Zbl 1377.35154) Full Text: DOI
Emmrich, Etienne; Thalhammer, Mechthild Stiffly accurate Runge-Kutta methods for nonlinear evolution problems governed by a monotone operator. (English) Zbl 1202.65067 Math. Comput. 79, No. 270, 785-806 (2010). Reviewer: Roland Pulch (Wuppertal) MSC: 65J08 65J15 65M12 65M15 65L06 47H05 47J35 PDFBibTeX XMLCite \textit{E. Emmrich} and \textit{M. Thalhammer}, Math. Comput. 79, No. 270, 785--806 (2010; Zbl 1202.65067) Full Text: DOI
Emmrich, Etienne Variable time-step \(\vartheta\)-scheme for nonlinear evolution equations governed by a monotone operator. (English) Zbl 1177.65075 Calcolo 46, No. 3, 187-210 (2009). Reviewer: Marius Ghergu (Dublin) MSC: 65J08 65M12 65M15 47J35 47H05 34G20 35K90 PDFBibTeX XMLCite \textit{E. Emmrich}, Calcolo 46, No. 3, 187--210 (2009; Zbl 1177.65075) Full Text: DOI
Emmrich, Etienne Convergence of the variable two-step BDF time discretisation of nonlinear evolution problems governed by a monotone potential operator. (English) Zbl 1172.65026 BIT 49, No. 2, 297-323 (2009). Reviewer: Iwan Gawriljuk (Eisenach) MSC: 65J15 65M06 65M12 34G20 35K90 65M20 PDFBibTeX XMLCite \textit{E. Emmrich}, BIT 49, No. 2, 297--323 (2009; Zbl 1172.65026) Full Text: DOI
de Frutos, Javier; García-Archilla, Bosco; Novo, Julia A posteriori error estimates for fully discrete nonlinear parabolic problems. (English) Zbl 1173.65335 Comput. Methods Appl. Mech. Eng. 196, No. 35-36, 3462-3474 (2007). MSC: 65M15 65M60 PDFBibTeX XMLCite \textit{J. de Frutos} et al., Comput. Methods Appl. Mech. Eng. 196, No. 35--36, 3462--3474 (2007; Zbl 1173.65335) Full Text: DOI
Calvo, M. P.; Palencia, C. A class of explicit multistep exponential integrators for semilinear problems. (English) Zbl 1087.65054 Numer. Math. 102, No. 3, 367-381 (2006). Reviewer: Karel Najzar (Praha) MSC: 65J15 65L05 65L06 65M12 65M20 34G20 PDFBibTeX XMLCite \textit{M. P. Calvo} and \textit{C. Palencia}, Numer. Math. 102, No. 3, 367--381 (2006; Zbl 1087.65054) Full Text: DOI
Emmrich, Etienne Stability and error of the variable two-step BDF for semilinear parabolic problems. (English) Zbl 1082.65086 J. Appl. Math. Comput. 19, No. 1-2, 33-55 (2005). Reviewer: Karel Najzar (Praha) MSC: 65M12 65M15 35K90 65M50 65M20 PDFBibTeX XMLCite \textit{E. Emmrich}, J. Appl. Math. Comput. 19, No. 1--2, 33--55 (2005; Zbl 1082.65086) Full Text: DOI
Matthies, Karsten Backward error analysis of a full discretization scheme for a class of semilinear parabolic partial differential equations. (English) Zbl 1017.35041 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 52, No. 3, 805-826 (2003). Reviewer: Mersaid Aripov (Tashkent) MSC: 35K55 65N22 35K57 37L65 37L10 37M20 PDFBibTeX XMLCite \textit{K. Matthies}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 52, No. 3, 805--826 (2003; Zbl 1017.35041) Full Text: DOI
Beyn, Wolf-Jürgen; Garay, Barnabas M. Estimates of variable stepsize Runge-Kutta methods for sectorial evolution equations with nonsmooth data. (English) Zbl 1005.65056 Appl. Numer. Math. 41, No. 3, 369-400 (2002). Reviewer: Oscar Lopez-Pouso (Santiago de Compostela) MSC: 65J15 65M20 35K90 65L06 65L50 65L70 65L05 65M15 PDFBibTeX XMLCite \textit{W.-J. Beyn} and \textit{B. M. Garay}, Appl. Numer. Math. 41, No. 3, 369--400 (2002; Zbl 1005.65056) Full Text: DOI
González, Cesáreo; Palencia, César Stability of Runge-Kutta methods for quasilinear parabolic problems. (English) Zbl 0941.65098 Math. Comput. 69, No. 230, 609-628 (2000). Reviewer: V.Makarov (Kyïv) MSC: 65M20 65L06 34G20 65J15 65M12 65M15 35K55 PDFBibTeX XMLCite \textit{C. González} and \textit{C. Palencia}, Math. Comput. 69, No. 230, 609--628 (2000; Zbl 0941.65098) Full Text: DOI
in’t Hout, Karel J.; Lubich, Christian Periodic orbits of delay differential equations under discretization. (English) Zbl 0904.65066 BIT 38, No. 1, 72-91 (1998). Reviewer: A.Marciniak (Poznań) MSC: 65L05 65L70 37-XX 34C25 34K05 65L06 PDFBibTeX XMLCite \textit{K. J. in't Hout} and \textit{C. Lubich}, BIT 38, No. 1, 72--91 (1998; Zbl 0904.65066) Full Text: DOI