Henaff, Yoann Le Grid-free weighted particle method applied to the Vlasov-Poisson equation. (English) Zbl 07819967 Numer. Math. 155, No. 3-4, 289-344 (2023). MSC: 65M22 65M75 65T50 65P10 65L06 65D32 65L70 35B65 35A24 35Q70 35Q83 PDFBibTeX XMLCite \textit{Y. Le Henaff}, Numer. Math. 155, No. 3--4, 289--344 (2023; Zbl 07819967) Full Text: DOI
Beschle, Cedric Aaron; Kovács, Balázs Stability and error estimates for non-linear Cahn-Hilliard-type equations on evolving surfaces. (English) Zbl 1491.65089 Numer. Math. 151, No. 1, 1-48 (2022). MSC: 65M60 65N30 65L05 65L06 65L20 65M12 65M15 35K55 35R01 PDFBibTeX XMLCite \textit{C. A. Beschle} and \textit{B. Kovács}, Numer. Math. 151, No. 1, 1--48 (2022; Zbl 1491.65089) Full Text: DOI arXiv
Nick, Jörg; Kovács, Balázs; Lubich, Christian Time-dependent electromagnetic scattering from thin layers. (English) Zbl 1491.35408 Numer. Math. 150, No. 4, 1123-1164 (2022). MSC: 35Q61 78A45 65M60 65L06 65N30 65M38 78M10 78M15 78M34 65M12 65R20 35A01 35A02 PDFBibTeX XMLCite \textit{J. Nick} et al., Numer. Math. 150, No. 4, 1123--1164 (2022; Zbl 1491.35408) Full Text: DOI arXiv
Xavier, Juliana C.; Rincon, Mauro A.; Alfaro Vigo, Daniel G. Error estimates for a fully discrete spectral scheme for nonlinear Boussinesq systems. (English) Zbl 1493.65169 Numer. Math. 149, No. 3, 679-716 (2021). Reviewer: Bülent Karasözen (Ankara) MSC: 65M70 65L06 65N35 65M12 65M15 76B15 35Q35 35C08 PDFBibTeX XMLCite \textit{J. C. Xavier} et al., Numer. Math. 149, No. 3, 679--716 (2021; Zbl 1493.65169) Full Text: DOI
Bartsch, Jan; Borzì, Alfio; Fanelli, Francesco; Roy, Souvik A numerical investigation of Brockett’s ensemble optimal control problems. (English) Zbl 1518.65097 Numer. Math. 149, No. 1, 1-42 (2021). MSC: 65M08 65L06 65N08 65H10 65F10 35L03 35B09 49K20 49M15 PDFBibTeX XMLCite \textit{J. Bartsch} et al., Numer. Math. 149, No. 1, 1--42 (2021; Zbl 1518.65097) Full Text: DOI
Pagliantini, Cecilia Dynamical reduced basis methods for Hamiltonian systems. (English) Zbl 1471.65217 Numer. Math. 148, No. 2, 409-448 (2021). MSC: 65P10 65L06 37M15 PDFBibTeX XMLCite \textit{C. Pagliantini}, Numer. Math. 148, No. 2, 409--448 (2021; Zbl 1471.65217) Full Text: DOI arXiv
Ellison, Abe C.; Fornberg, Bengt A parallel-in-time approach for wave-type PDEs. (English) Zbl 1477.65150 Numer. Math. 148, No. 1, 79-98 (2021). MSC: 65M20 65L06 65L05 65Y05 PDFBibTeX XMLCite \textit{A. C. Ellison} and \textit{B. Fornberg}, Numer. Math. 148, No. 1, 79--98 (2021; Zbl 1477.65150) Full Text: DOI arXiv
Melenk, Jens Markus; Rieder, Alexander On superconvergence of Runge-Kutta convolution quadrature for the wave equation. (English) Zbl 1467.65091 Numer. Math. 147, No. 1, 157-188 (2021). Reviewer: Michael Jung (Dresden) MSC: 65M38 65L06 65M12 35J05 PDFBibTeX XMLCite \textit{J. M. Melenk} and \textit{A. Rieder}, Numer. Math. 147, No. 1, 157--188 (2021; Zbl 1467.65091) 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
Hochbruck, Marlis; Leibold, Jan; Ostermann, Alexander On the convergence of Lawson methods for semilinear stiff problems. (English) Zbl 1453.65269 Numer. Math. 145, No. 3, 553-580 (2020). Reviewer: Bülent Karasözen (Ankara) MSC: 65M12 65M15 65J08 65L04 65L06 35Q41 PDFBibTeX XMLCite \textit{M. Hochbruck} et al., Numer. Math. 145, No. 3, 553--580 (2020; Zbl 1453.65269) Full Text: DOI arXiv
Antonopoulos, D. C.; Dougalis, V. A.; Mitsotakis, D. E. Error estimates for Galerkin finite element methods for the Camassa-Holm equation. (English) Zbl 1419.65050 Numer. Math. 142, No. 4, 833-862 (2019). MSC: 65M60 65L06 35Q53 35C07 35C08 65D07 PDFBibTeX XMLCite \textit{D. C. Antonopoulos} et al., Numer. Math. 142, No. 4, 833--862 (2019; Zbl 1419.65050) Full Text: DOI arXiv
Williams, David M. An analysis of discontinuous Galerkin methods for the compressible Euler equations: entropy and \(L_2\) stability. (English) Zbl 1412.65121 Numer. Math. 141, No. 4, 1079-1120 (2019). MSC: 65M12 65M60 76N99 35Q31 65M06 65L06 PDFBibTeX XMLCite \textit{D. M. Williams}, Numer. Math. 141, No. 4, 1079--1120 (2019; Zbl 1412.65121) Full Text: DOI
Banjai, L.; López-Fernández, M. Efficient high order algorithms for fractional integrals and fractional differential equations. (English) Zbl 1408.65102 Numer. Math. 141, No. 2, 289-317 (2019). MSC: 65R20 65L06 65M15 26A33 35R11 PDFBibTeX XMLCite \textit{L. Banjai} and \textit{M. López-Fernández}, Numer. Math. 141, No. 2, 289--317 (2019; Zbl 1408.65102) Full Text: DOI arXiv
Hochbruck, Marlis; Pažur, Tomislav; Schnaubelt, Roland Error analysis of implicit Runge-Kutta methods for quasilinear hyperbolic evolution equations. (English) Zbl 1387.65100 Numer. Math. 138, No. 3, 557-579 (2018). Reviewer: Mikhail Yu. Kokurin (Yoshkar-Ola) MSC: 65M20 65L06 35L90 35Q61 65M12 65M15 PDFBibTeX XMLCite \textit{M. Hochbruck} et al., Numer. Math. 138, No. 3, 557--579 (2018; Zbl 1387.65100) Full Text: DOI
Diegel, Amanda E.; Wang, Cheng; Wang, Xiaoming; Wise, Steven M. Convergence analysis and error estimates for a second order accurate finite element method for the Cahn-Hilliard-Navier-Stokes system. (English) Zbl 1523.65081 Numer. Math. 137, No. 3, 495-534 (2017). Reviewer: Baasansuren Jadamba (Rochester) MSC: 65M60 65M06 65L06 65D30 65N30 65M12 65M15 35K35 35K55 35B65 35R09 PDFBibTeX XMLCite \textit{A. E. Diegel} et al., Numer. Math. 137, No. 3, 495--534 (2017; Zbl 1523.65081) Full Text: DOI arXiv
de Camargo, André Pierro; Mascarenhas, Walter F. The stability of extended Floater-Hormann interpolants. (English) Zbl 1366.65011 Numer. Math. 136, No. 1, 287-313 (2017). Reviewer: Martin D. Buhmann (Gießen) MSC: 65D05 41A20 65G30 PDFBibTeX XMLCite \textit{A. P. de Camargo} and \textit{W. F. Mascarenhas}, Numer. Math. 136, No. 1, 287--313 (2017; Zbl 1366.65011) Full Text: DOI arXiv
He, Wen-Ming; Zhang, Zhimin; Zou, Qingsong Ultraconvergence of high order FEMs for elliptic problems with variable coefficients. (English) Zbl 1365.65254 Numer. Math. 136, No. 1, 215-248 (2017). Reviewer: Abdallah Bradji (Annaba) MSC: 65N30 65N25 65N15 PDFBibTeX XMLCite \textit{W.-M. He} et al., Numer. Math. 136, No. 1, 215--248 (2017; Zbl 1365.65254) Full Text: DOI
Lopez-Fernandez, Maria; Sauter, Stefan Generalized convolution quadrature based on Runge-Kutta methods. (English) Zbl 1348.65181 Numer. Math. 133, No. 4, 743-779 (2016). Reviewer: Ivan Secrieru (Chişinău) MSC: 65R20 65R32 65L06 PDFBibTeX XMLCite \textit{M. Lopez-Fernandez} and \textit{S. Sauter}, Numer. Math. 133, No. 4, 743--779 (2016; Zbl 1348.65181) Full Text: DOI Link
McLachlan, Robert I.; Modin, Klas; Munthe-Kaas, Hans; Verdier, Olivier B-series methods are exactly the affine equivariant methods. (English) Zbl 1364.65145 Numer. Math. 133, No. 3, 599-622 (2016). Reviewer: Kanakadurga Sivakumar (Chennai) MSC: 65L06 65L12 37C80 37C10 41A58 34A34 PDFBibTeX XMLCite \textit{R. I. McLachlan} et al., Numer. Math. 133, No. 3, 599--622 (2016; Zbl 1364.65145) Full Text: DOI arXiv
Günther, Michael; Sandu, Adrian Multirate generalized additive Runge Kutta methods. (English) Zbl 1344.65064 Numer. Math. 133, No. 3, 497-524 (2016). Reviewer: Kanakadurga Sivakumar (Chennai) MSC: 65L06 65L05 65L04 34A34 65L20 PDFBibTeX XMLCite \textit{M. Günther} and \textit{A. Sandu}, Numer. Math. 133, No. 3, 497--524 (2016; Zbl 1344.65064) Full Text: DOI arXiv
Runborg, Olof Analysis of high order fast interface tracking methods. (English) Zbl 1305.65176 Numer. Math. 128, No. 2, 339-375 (2014). Reviewer: Kai Diethelm (Braunschweig) MSC: 65L20 65L05 65T60 65L06 34A34 PDFBibTeX XMLCite \textit{O. Runborg}, Numer. Math. 128, No. 2, 339--375 (2014; Zbl 1305.65176) Full Text: DOI
Chartier, Philippe; Makazaga, Joseba; Murua, Ander; Vilmart, Gilles Multi-revolution composition methods for highly oscillatory differential equations. (English) Zbl 1307.65100 Numer. Math. 128, No. 1, 167-192 (2014). Reviewer: Raffaella Pavani (Milano) MSC: 65L05 65L06 35Q55 34A34 34C10 65L70 65P10 37M15 PDFBibTeX XMLCite \textit{P. Chartier} et al., Numer. Math. 128, No. 1, 167--192 (2014; Zbl 1307.65100) Full Text: DOI Link
Zhang, Qiang; Shu, Chi-Wang Error estimates for the third order explicit Runge-Kutta discontinuous Galerkin method for a linear hyperbolic equation in one-dimension with discontinuous initial data. (English) Zbl 1293.65122 Numer. Math. 126, No. 4, 703-740 (2014). Reviewer: Qin Meng Zhao (Beijing) MSC: 65M15 65M20 65M60 65L06 35L20 35R05 PDFBibTeX XMLCite \textit{Q. Zhang} and \textit{C.-W. Shu}, Numer. Math. 126, No. 4, 703--740 (2014; Zbl 1293.65122) Full Text: DOI
Beigel, Dörte; Mommer, Mario S.; Wirsching, Leonard; Bock, Hans Georg Approximation of weak adjoints by reverse automatic differentiation of BDF methods. (English) Zbl 1293.65101 Numer. Math. 126, No. 3, 383-412 (2014). Reviewer: Seenith Sivasundaram (Daytona Beach) MSC: 65L06 65L60 49K40 65L20 34A34 PDFBibTeX XMLCite \textit{D. Beigel} et al., Numer. Math. 126, No. 3, 383--412 (2014; Zbl 1293.65101) Full Text: DOI arXiv
Sun, Jian-Qing; Chang, Xiang-Ke; He, Yi; Hu, Xing-Biao An extended multistep Shanks transformation and convergence acceleration algorithm with their convergence and stability analysis. (English) Zbl 1287.65059 Numer. Math. 125, No. 4, 785-809 (2013). Reviewer: Michael M. Pahirya (Mukachevo) MSC: 65L05 65B05 65L12 34A34 92D25 65L20 PDFBibTeX XMLCite \textit{J.-Q. Sun} et al., Numer. Math. 125, No. 4, 785--809 (2013; Zbl 1287.65059) Full Text: DOI
Console, Paola; Hairer, Ernst; Lubich, Christian Symmetric multistep methods for constrained Hamiltonian systems. (English) Zbl 1290.65125 Numer. Math. 124, No. 3, 517-539 (2013). Reviewer: Thomas Sonar (Braunschweig) MSC: 65P10 65L06 65L80 37M15 PDFBibTeX XMLCite \textit{P. Console} et al., Numer. Math. 124, No. 3, 517--539 (2013; Zbl 1290.65125) Full Text: DOI Link
Ballani, J.; Banjai, L.; Sauter, S.; Veit, A. Numerical solution of exterior Maxwell problems by Galerkin BEM and Runge-Kutta convolution quadrature. (English) Zbl 1279.78019 Numer. Math. 123, No. 4, 643-670 (2013). Reviewer: Ana M. Alonso Rodriguez (Povo) MSC: 78M15 78A45 65R20 65N38 65L06 PDFBibTeX XMLCite \textit{J. Ballani} et al., Numer. Math. 123, No. 4, 643--670 (2013; Zbl 1279.78019) Full Text: DOI
Sidi, Avram Acceleration of convergence of general linear sequences by the Shanks transformation. (English) Zbl 1241.65002 Numer. Math. 119, No. 4, 725-764 (2011). MSC: 65B05 65D15 40A05 90C10 PDFBibTeX XMLCite \textit{A. Sidi}, Numer. Math. 119, No. 4, 725--764 (2011; Zbl 1241.65002) Full Text: DOI
Banjai, Lehel; Lubich, Christian; Melenk, Jens Markus Runge-Kutta convolution quadrature for operators arising in wave propagation. (English) Zbl 1227.65027 Numer. Math. 119, No. 1, 1-20 (2011). Reviewer: Manfred Tasche (Rostock) MSC: 65D30 65L06 44A10 76Q05 PDFBibTeX XMLCite \textit{L. Banjai} et al., Numer. Math. 119, No. 1, 1--20 (2011; Zbl 1227.65027) Full Text: DOI
Klapproth, Corinna; Schiela, Anton; Deuflhard, Peter Adaptive timestep control for the contact-stabilized Newmark method. (English) Zbl 1391.74277 Numer. Math. 119, No. 1, 49-81 (2011). MSC: 74S20 74M15 74D05 PDFBibTeX XMLCite \textit{C. Klapproth} et al., Numer. Math. 119, No. 1, 49--81 (2011; Zbl 1391.74277) Full Text: DOI
Akrivis, Georgios; Makridakis, Charalambos; Nochetto, Ricardo H. Galerkin and Runge-Kutta methods: unified formulation, a posteriori error estimates and nodal superconvergence. (English) Zbl 1228.65125 Numer. Math. 118, No. 3, 429-456 (2011). Reviewer: Fernando Casas (Castellon) MSC: 65L60 65L06 65M20 65M15 65M50 34G10 35K20 65L70 65M60 65M70 65J08 PDFBibTeX XMLCite \textit{G. Akrivis} et al., Numer. Math. 118, No. 3, 429--456 (2011; Zbl 1228.65125) Full Text: DOI
Páez Chávez, Joseph Discretizing dynamical systems with generalized Hopf bifurcations. (English) Zbl 1219.65155 Numer. Math. 118, No. 2, 229-246 (2011). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65P30 37C10 37M20 65L06 37G10 PDFBibTeX XMLCite \textit{J. Páez Chávez}, Numer. Math. 118, No. 2, 229--246 (2011; Zbl 1219.65155) Full Text: DOI
Krogstad, Stein; Munthe-Kaas, Hans Z.; Zanna, Antonella Generalized polar coordinates on Lie groups and numerical integrators. (English) Zbl 1185.22003 Numer. Math. 114, No. 1, 161-187 (2009). Reviewer: Manfred Tasche (Rostock) MSC: 22E15 17B40 57S25 65L06 22-04 PDFBibTeX XMLCite \textit{S. Krogstad} et al., Numer. Math. 114, No. 1, 161--187 (2009; Zbl 1185.22003) Full Text: DOI
Berrut, Jean-Paul First applications of a formula for the error of finite sinc interpolation. (English) Zbl 1179.41033 Numer. Math. 112, No. 3, 341-361 (2009). Reviewer: Sergey S. Volosivets (Saratov) MSC: 41A80 65D05 PDFBibTeX XMLCite \textit{J.-P. Berrut}, Numer. Math. 112, No. 3, 341--361 (2009; Zbl 1179.41033) Full Text: DOI Link
Verwer, J. G. Runge-Kutta methods and viscous wave equations. (English) Zbl 1167.65052 Numer. Math. 112, No. 3, 485-507 (2009). MSC: 65M20 65L06 35L15 65M12 65L20 PDFBibTeX XMLCite \textit{J. G. Verwer}, Numer. Math. 112, No. 3, 485--507 (2009; Zbl 1167.65052) Full Text: DOI
Hong, Jialin; Jiang, Shanshan; Li, Chun Accuracy of classical conservation laws for Hamiltonian PDEs under Runge-Kutta discretizations. (English) Zbl 1167.65070 Numer. Math. 112, No. 1, 1-23 (2009). Reviewer: Werner M. Seiler (Kassel) MSC: 65P10 65M06 65M15 35L65 37K05 37M15 65L06 PDFBibTeX XMLCite \textit{J. Hong} et al., Numer. Math. 112, No. 1, 1--23 (2009; Zbl 1167.65070) Full Text: DOI
Huang, Chengming Delay-dependent stability of high order Runge-Kutta methods. (English) Zbl 1167.65045 Numer. Math. 111, No. 3, 377-387 (2009). Reviewer: Vu Hoang Linh (Hanoi) MSC: 65L20 65L06 65L05 34K40 34K20 PDFBibTeX XMLCite \textit{C. Huang}, Numer. Math. 111, No. 3, 377--387 (2009; Zbl 1167.65045) Full Text: DOI
Hong, Jialin; Sun, Yajuan Generating functions of multi-symplectic RK methods via DW Hamilton-Jacobi equations. (English) Zbl 1158.65085 Numer. Math. 110, No. 4, 491-519 (2008). Reviewer: Fernando Casas (Castellon) MSC: 65P10 65M06 70H20 37M15 37K05 65L06 35L60 PDFBibTeX XMLCite \textit{J. Hong} and \textit{Y. Sun}, Numer. Math. 110, No. 4, 491--519 (2008; Zbl 1158.65085) Full Text: DOI
Dolejší, Vít; Vlasák, Miloslav Analysis of a BDF-DGFE scheme for nonlinear convection-diffusion problems. (English) Zbl 1158.65068 Numer. Math. 110, No. 4, 405-447 (2008). Reviewer: Fernando Casas (Castellon) MSC: 65M20 65M15 65M60 65M12 65L06 35K55 PDFBibTeX XMLCite \textit{V. Dolejší} and \textit{M. Vlasák}, Numer. Math. 110, No. 4, 405--447 (2008; Zbl 1158.65068) Full Text: DOI
Calvo, M. P.; Cuesta, E.; Palencia, C. Runge-Kutta convolution quadrature methods for well-posed equations with memory. (English) Zbl 1131.65106 Numer. Math. 107, No. 4, 589-614 (2007). Reviewer: Lechoslaw Hącia (Poznań) MSC: 65R20 65J10 45N05 65L06 45E10 PDFBibTeX XMLCite \textit{M. P. Calvo} et al., Numer. Math. 107, No. 4, 589--614 (2007; Zbl 1131.65106) Full Text: DOI
Torrilhon, Manuel; Jeltsch, Rolf Essentially optimal explicit Runge-Kutta methods with application to hyperbolic-parabolic equations. (English) Zbl 1113.65074 Numer. Math. 106, No. 2, 303-334 (2007). MSC: 65L06 65L05 34A34 65L20 35M10 65M20 PDFBibTeX XMLCite \textit{M. Torrilhon} and \textit{R. Jeltsch}, Numer. Math. 106, No. 2, 303--334 (2007; Zbl 1113.65074) Full Text: DOI
Hill, Adrian T. Nonlinear stability of general linear methods. (English) Zbl 1105.65086 Numer. Math. 103, No. 4, 611-629 (2006). Reviewer: Zdzislaw Jackiewicz (Tempe) MSC: 65L20 65L06 65L05 34A34 PDFBibTeX XMLCite \textit{A. T. Hill}, Numer. Math. 103, No. 4, 611--629 (2006; Zbl 1105.65086) 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
López-Fernández, María; Lubich, Christian; Palencia, Cesar; Schädle, Achim Fast Runge-Kutta approximation of inhomogeneous parabolic equations. (English) Zbl 1082.65095 Numer. Math. 102, No. 2, 277-291 (2005). MSC: 65M20 65L05 65M15 65L06 35K15 34A30 PDFBibTeX XMLCite \textit{M. López-Fernández} et al., Numer. Math. 102, No. 2, 277--291 (2005; Zbl 1082.65095) Full Text: DOI arXiv
Cancès, Eric; Castella, François; Chartier, Philippe; Faou, Erwan; Le Bris, Claude; Legoll, Frédéric; Turinici, Gabriel Long-time averaging for integrable Hamiltonian dynamics. (English) Zbl 1084.65126 Numer. Math. 100, No. 2, 211-232 (2005). Reviewer: Manuel Calvo (Zaragoza) MSC: 65P10 70H06 37M15 37J35 70F05 65L06 70M20 PDFBibTeX XMLCite \textit{E. Cancès} et al., Numer. Math. 100, No. 2, 211--232 (2005; Zbl 1084.65126) Full Text: DOI HAL
González-Pinto, S.; Hernández-Abreu, D. Stable Runge-Kutta integrations for differential systems with semi-stable equilibria. (English) Zbl 1067.65079 Numer. Math. 97, No. 3, 473-491 (2004). Reviewer: Johannes Schropp (Konstanz) MSC: 65L20 65L06 34A34 PDFBibTeX XMLCite \textit{S. González-Pinto} and \textit{D. Hernández-Abreu}, Numer. Math. 97, No. 3, 473--491 (2004; Zbl 1067.65079) Full Text: DOI
Chan, R. P. K.; Chartier, P.; Murua, A. Reversible methods of Runge-Kutta type for index-2 DAEs. (English) Zbl 1067.65084 Numer. Math. 97, No. 3, 427-440 (2004). Reviewer: Johannes Schropp (Konstanz) MSC: 65L80 65L06 34A05 65L20 PDFBibTeX XMLCite \textit{R. P. K. Chan} et al., Numer. Math. 97, No. 3, 427--440 (2004; Zbl 1067.65084) Full Text: DOI
Hairer, Ernst; Lubich, Christian Symmetric multistep methods over long times. (English) Zbl 1060.65074 Numer. Math. 97, No. 4, 699-723 (2004). Reviewer: Werner M. Seiler (Heidelberg) MSC: 65L06 65L20 65P10 34A34 70E15 37M15 65L05 PDFBibTeX XMLCite \textit{E. Hairer} and \textit{C. Lubich}, Numer. Math. 97, No. 4, 699--723 (2004; Zbl 1060.65074) Full Text: DOI Link
Calvo, Manuel; Jay, Laurent O.; Montijano, Juan I.; Rández, Luis Approximate compositions of a near identity map by multi-revolution Runge-Kutta methods. (English) Zbl 1067.65067 Numer. Math. 97, No. 4, 635-666 (2004). Reviewer: Johannes Schropp (Konstanz) MSC: 65L06 65L05 34A34 65P10 37M15 PDFBibTeX XMLCite \textit{M. Calvo} et al., Numer. Math. 97, No. 4, 635--666 (2004; Zbl 1067.65067) Full Text: DOI
Sidi, Avram Euler-Maclaurin expansions for integrals with endpoint singularities: A new perspective. (English) Zbl 1081.65003 Numer. Math. 98, No. 2, 371-387 (2004). Reviewer: J. N. Lyness (Argonne) MSC: 65B15 30E15 40A25 41A60 65D32 41A55 PDFBibTeX XMLCite \textit{A. Sidi}, Numer. Math. 98, No. 2, 371--387 (2004; Zbl 1081.65003) Full Text: DOI
Aceto, Lidia; Trigiante, Donato On the properties of matrices defining some classes of BVMs. (English) Zbl 1054.65074 Numer. Math. 96, No. 1, 1-16 (2003). Reviewer: Lubomír Bakule (Praha) MSC: 65L06 15B48 65L05 34A34 PDFBibTeX XMLCite \textit{L. Aceto} and \textit{D. Trigiante}, Numer. Math. 96, No. 1, 1--16 (2003; Zbl 1054.65074) Full Text: DOI
Butcher, J. C.; Jackiewicz, Z. A new approach to error estimation for general linear methods. (English) Zbl 1032.65088 Numer. Math. 95, No. 3, 487-502 (2003). Reviewer: Thomas Sonar (Braunschweig) MSC: 65L70 65L05 65L50 34A34 65L06 PDFBibTeX XMLCite \textit{J. C. Butcher} and \textit{Z. Jackiewicz}, Numer. Math. 95, No. 3, 487--502 (2003; Zbl 1032.65088) Full Text: DOI
Akrivis, Georgios; Karakashian, Ohannes; Karakatsani, Fotini Linearly implicit methods for nonlinear evolution equations. (English) Zbl 1029.65109 Numer. Math. 94, No. 3, 403-418 (2003). Reviewer: Plamen Yordanov Yalamov (Russe) MSC: 65M60 65M12 65L06 35K90 34G20 65M15 35K55 PDFBibTeX XMLCite \textit{G. Akrivis} et al., Numer. Math. 94, No. 3, 403--418 (2003; Zbl 1029.65109) Full Text: DOI
Alonso-Mallo, Isaías Runge-Kutta methods without order reduction for linear initial boundary value problems. (English) Zbl 1002.65109 Numer. Math. 91, No. 4, 577-603 (2002). Reviewer: Prabhat Kumar Mahanti (New Brunswick) MSC: 65M20 34G10 65L06 35K15 PDFBibTeX XMLCite \textit{I. Alonso-Mallo}, Numer. Math. 91, No. 4, 577--603 (2002; Zbl 1002.65109) Full Text: DOI
Maset, S. Instability of Runge-Kutta methods when applied to linear systems of delay differential equations. (English) Zbl 1008.65052 Numer. Math. 90, No. 3, 555-562 (2002). Reviewer: Rudolf Scherer (Karlsruhe) MSC: 65L20 34K28 65L06 PDFBibTeX XMLCite \textit{S. Maset}, Numer. Math. 90, No. 3, 555--562 (2002; Zbl 1008.65052) Full Text: DOI
Fischer, J.-W. Romberg quadrature using the Bulirsch sequence. (English) Zbl 0997.65044 Numer. Math. 90, No. 3, 509-519 (2002). Reviewer: Feng Qi (Henan) MSC: 65D32 65B05 41A55 PDFBibTeX XMLCite \textit{J. W. Fischer}, Numer. Math. 90, No. 3, 509--519 (2002; Zbl 0997.65044) Full Text: DOI
Abdulle, Assyr; Medovikov, Alexei A. Second order Chebyshev methods based on orthogonal polynomials. (English) Zbl 0997.65094 Numer. Math. 90, No. 1, 1-18 (2001). Reviewer: Laura-Iulia Aniţa (Iaşi) MSC: 65L06 65L05 34A30 35K15 65L20 65M20 PDFBibTeX XMLCite \textit{A. Abdulle} and \textit{A. A. Medovikov}, Numer. Math. 90, No. 1, 1--18 (2001; Zbl 0997.65094) Full Text: DOI
Wensch, Jörg Extrapolation methods in Lie groups. (English) Zbl 1009.65050 Numer. Math. 89, No. 3, 591-604 (2001). MSC: 65L06 34A26 22E30 43A80 65L05 65L70 PDFBibTeX XMLCite \textit{J. Wensch}, Numer. Math. 89, No. 3, 591--604 (2001; Zbl 1009.65050) Full Text: DOI
Guglielmi, N.; Zennaro, M. On the zero-stability of variable stepsize multistep methods: The spectral radius approach. (English) Zbl 0991.65068 Numer. Math. 88, No. 3, 445-458 (2001). Reviewer: J.Schropp (Köln) MSC: 65L20 65L06 65L05 65L50 39A11 34A34 PDFBibTeX XMLCite \textit{N. Guglielmi} and \textit{M. Zennaro}, Numer. Math. 88, No. 3, 445--458 (2001; Zbl 0991.65068) Full Text: DOI
Owren, Brynjulf; Marthinsen, Arne Integration methods based on canonical coordinates of the second kind. (English) Zbl 0973.65054 Numer. Math. 87, No. 4, 763-790 (2001). Reviewer: Werner M.Seiler (Mannheim) MSC: 65L05 65L06 22E60 34A26 PDFBibTeX XMLCite \textit{B. Owren} and \textit{A. Marthinsen}, Numer. Math. 87, No. 4, 763--790 (2001; Zbl 0973.65054) Full Text: DOI
Maset, S. Stability of Runge-Kutta methods for linear delay differential equations. (English) Zbl 0979.65069 Numer. Math. 87, No. 2, 355-371 (2000). Reviewer: Riccardo Fazio (Messina) MSC: 65L20 65L06 65L05 34K06 34K28 PDFBibTeX XMLCite \textit{S. Maset}, Numer. Math. 87, No. 2, 355--371 (2000; Zbl 0979.65069) Full Text: DOI
Hager, William W. Runge-Kutta methods in optimal control and the transformed adjoint system. (English) Zbl 0991.49020 Numer. Math. 87, No. 2, 247-282 (2000). Reviewer: Viorel Arnăutu (Iaşi) MSC: 49M25 65L06 PDFBibTeX XMLCite \textit{W. W. Hager}, Numer. Math. 87, No. 2, 247--282 (2000; Zbl 0991.49020) Full Text: DOI
Mortreux, P.; Prévost, M. On totally monotonic families of sequences. (English) Zbl 0943.65005 Numer. Math. 84, No. 1, 71-96 (1999). Reviewer: P.Wynn (México) MSC: 65B05 40A25 41A60 PDFBibTeX XMLCite \textit{P. Mortreux} and \textit{M. Prévost}, Numer. Math. 84, No. 1, 71--96 (1999; Zbl 0943.65005) Full Text: DOI
Koto, Toshiyuki Stability of Runge-Kutta methods for the generalized pantograph equation. (English) Zbl 0943.65091 Numer. Math. 84, No. 2, 233-247 (1999). Reviewer: N.Parhi (Berhampur) MSC: 65L20 65L05 34K40 65L06 PDFBibTeX XMLCite \textit{T. Koto}, Numer. Math. 84, No. 2, 233--247 (1999; Zbl 0943.65091) Full Text: DOI
Hairer, Ernst Backward error analysis for multistep methods. (English) Zbl 0941.65077 Numer. Math. 84, No. 2, 199-232 (1999). Reviewer: Svitlana P.Rogovchenko (Mersin) MSC: 65L70 65L06 34A34 65L05 PDFBibTeX XMLCite \textit{E. Hairer}, Numer. Math. 84, No. 2, 199--232 (1999; Zbl 0941.65077) Full Text: DOI
Brass, H.; Fischer, J.-W. Error bounds for Romberg quadrature. (English) Zbl 0938.65056 Numer. Math. 82, No. 3, 389-408 (1999). Reviewer: A.C.Genz (Pullman) MSC: 65D32 41A55 41A80 65B05 PDFBibTeX XMLCite \textit{H. Brass} and \textit{J. W. Fischer}, Numer. Math. 82, No. 3, 389--408 (1999; Zbl 0938.65056) Full Text: DOI
González, Ana B.; Martín, Pablo; Farto, José M. A new family of Runge-Kutta type methods for the numerical integration of perturbed oscillators. (English) Zbl 0935.65075 Numer. Math. 82, No. 4, 635-646 (1999). Reviewer: E.Hairer (Genève) MSC: 65L06 34A34 65L05 65L70 PDFBibTeX XMLCite \textit{A. B. González} et al., Numer. Math. 82, No. 4, 635--646 (1999; Zbl 0935.65075) Full Text: DOI
Qiu, Lin; Yang, Biao; Kuang, Jiaoxun The NGP-stability of Runge-Kutta methods for systems of neutral delay differential equations. (English) Zbl 0918.65061 Numer. Math. 81, No. 3, 451-459 (1999). Reviewer: R.S.Dahiya (Ames) MSC: 65L20 65L05 34K40 65L06 PDFBibTeX XMLCite \textit{L. Qiu} et al., Numer. Math. 81, No. 3, 451--459 (1999; Zbl 0918.65061) Full Text: DOI
Lubich, Christian; Ostermann, Alexander Hopf bifurcation of reaction-diffusion and Navier-Stokes equations under discretization. (English) Zbl 0924.65051 Numer. Math. 81, No. 1, 53-84 (1998). Reviewer: E.Schechter (Kaiserslautern) MSC: 65J15 65L06 65M12 34G20 65M20 65M15 35B32 37G99 35K55 35K57 35Q30 PDFBibTeX XMLCite \textit{C. Lubich} and \textit{A. Ostermann}, Numer. Math. 81, No. 1, 53--84 (1998; Zbl 0924.65051) Full Text: DOI
Calvo, M.; Gonzalez-Pinto, S.; Montijano, J. I. On the convergence of Runge-Kutta methods for stiff nonlinear differential equations. (English) Zbl 0921.65051 Numer. Math. 81, No. 1, 31-51 (1998). Reviewer: T.E.Simos (Xanthi) MSC: 65L06 65L05 34A34 34E13 PDFBibTeX XMLCite \textit{M. Calvo} et al., Numer. Math. 81, No. 1, 31--51 (1998; Zbl 0921.65051) Full Text: DOI
Brezinski, C.; Redivo-Zaglia, M.; Rodriguez, G.; Seatzu, S. Extrapolation techniques for ill-conditioned linear systems. (English) Zbl 0921.65032 Numer. Math. 81, No. 1, 1-29 (1998). Reviewer: E.Minchev (Sofia) MSC: 65F20 PDFBibTeX XMLCite \textit{C. Brezinski} et al., Numer. Math. 81, No. 1, 1--29 (1998; Zbl 0921.65032) Full Text: DOI
Günther, Michael Simulating digital circuits numerically – a charge-oriented ROW approach. (English) Zbl 0905.65089 Numer. Math. 79, No. 2, 203-212 (1998). Reviewer: Werner M.Seiler (Mannheim) MSC: 65L06 94C05 65L05 34A34 34A09 PDFBibTeX XMLCite \textit{M. Günther}, Numer. Math. 79, No. 2, 203--212 (1998; Zbl 0905.65089) Full Text: DOI
Koto, Toshiyuki Stability of the Radau IA and Lobatto IIIC methods for delay differential equations. (English) Zbl 0905.65093 Numer. Math. 79, No. 4, 569-580 (1998). Reviewer: I.Coroian (Baia Mare) MSC: 65L20 65L06 65L05 34K05 PDFBibTeX XMLCite \textit{T. Koto}, Numer. Math. 79, No. 4, 569--580 (1998; Zbl 0905.65093) Full Text: DOI
Crouzeix, Michel; Sayas, Francisco-Javier Asymptotic expansions of the error of spline Galerkin boundary element methods. (English) Zbl 0899.65061 Numer. Math. 78, No. 4, 523-547 (1998). Reviewer: J.Elschner (Berlin) MSC: 65N15 35J25 65N38 PDFBibTeX XMLCite \textit{M. Crouzeix} and \textit{F.-J. Sayas}, Numer. Math. 78, No. 4, 523--547 (1998; Zbl 0899.65061) Full Text: DOI
Zennaro, M. Asymptotic stability analysis of Runge-Kutta methods for nonlinear systems of delay differential equations. (English) Zbl 0886.65092 Numer. Math. 77, No. 4, 549-563 (1997). Reviewer: E.Emmrich (Magdeburg) MSC: 65L20 65L06 65L05 34A34 PDFBibTeX XMLCite \textit{M. Zennaro}, Numer. Math. 77, No. 4, 549--563 (1997; Zbl 0886.65092) Full Text: DOI
Stoffer, Daniel On the qualitative behaviour of symplectic integrators. I: Perturbed linear systems. (English) Zbl 0885.65088 Numer. Math. 77, No. 4, 535-547 (1997). Reviewer: M.Calvo (Zaragoza) MSC: 65L06 65L05 37C10 34C30 37J99 PDFBibTeX XMLCite \textit{D. Stoffer}, Numer. Math. 77, No. 4, 535--547 (1997; Zbl 0885.65088) Full Text: DOI
Guglielmi, Nicola On the asymptotic stability properties of Runge-Kutta methods for delay differential equations. (English) Zbl 0885.65092 Numer. Math. 77, No. 4, 467-485 (1997). Reviewer: E.Emmrich (Magdeburg) MSC: 65L20 65L06 65L05 34K05 PDFBibTeX XMLCite \textit{N. Guglielmi}, Numer. Math. 77, No. 4, 467--485 (1997; Zbl 0885.65092) Full Text: DOI
Hairer, E.; Lubich, Ch. The life-span of backward error analysis for numerical integrators. (English) Zbl 0874.65061 Numer. Math. 76, No. 4, 441-462 (1997). Reviewer: S.Yanchuk (Kiev) MSC: 65L70 34A34 37-XX 65L05 65L06 34C23 PDFBibTeX XMLCite \textit{E. Hairer} and \textit{Ch. Lubich}, Numer. Math. 76, No. 4, 441--462 (1997; Zbl 0874.65061) Full Text: DOI
Reich, Sebastian On higher-order semi-explicit symplectic partitioned Runge-Kutta methods for constrained Hamiltonian systems. (English) Zbl 0882.65065 Numer. Math. 76, No. 2, 231-247 (1997). Reviewer: J.B.Butler jun.(Portland) MSC: 65L06 65L05 37J99 65L20 65L70 PDFBibTeX XMLCite \textit{S. Reich}, Numer. Math. 76, No. 2, 231--247 (1997; Zbl 0882.65065) Full Text: DOI
Garay, Barnabas M. On structural stability of ordinary differential equations with respect to discretization methods. (English) Zbl 0865.65058 Numer. Math. 72, No. 4, 449-479 (1996). Reviewer: M.M.Konstantinov (Sofia) MSC: 65L07 65L06 37N30 65P99 37D15 PDFBibTeX XMLCite \textit{B. M. Garay}, Numer. Math. 72, No. 4, 449--479 (1996; Zbl 0865.65058) Full Text: DOI
Bocharov, G. A.; Marchuk, G. I.; Romanyukha, A. A. Numerical solution by LMMs of stiff delay differential systems modelling an immune response. (English) Zbl 0859.65077 Numer. Math. 73, No. 2, 131-148 (1996). Reviewer: M.Bartušek (Brno) MSC: 65L06 34K05 34E13 65L20 92D30 65L05 PDFBibTeX XMLCite \textit{G. A. Bocharov} et al., Numer. Math. 73, No. 2, 131--148 (1996; Zbl 0859.65077) Full Text: DOI
Nipp, K.; Stoffer, D. Invariant manifolds and global error estimates of numerical integration schemes applied to stiff systems of singular perturbation type. II: Linear multistep methods. (English) Zbl 0912.65066 Numer. Math. 74, No. 3, 305-323 (1996). MSC: 65L06 65L05 65L70 34A34 37-XX 34E13 34C30 PDFBibTeX XMLCite \textit{K. Nipp} and \textit{D. Stoffer}, Numer. Math. 74, No. 3, 305--323 (1996; Zbl 0912.65066) Full Text: DOI
Casas, F. Fer’s factorization as a symplectic integrator. (English) Zbl 0862.65042 Numer. Math. 74, No. 3, 283-303 (1996). Reviewer: A.Marciniak (Poznań) MSC: 65L05 37J99 70H05 PDFBibTeX XMLCite \textit{F. Casas}, Numer. Math. 74, No. 3, 283--303 (1996; Zbl 0862.65042) Full Text: DOI
Osada, Naoki An acceleration theorem for the \(\rho\)-algorithm. (English) Zbl 0858.65001 Numer. Math. 73, No. 4, 521-531 (1996). Reviewer: P.Wynn (Mexico) MSC: 65B05 40A25 41A25 PDFBibTeX XMLCite \textit{N. Osada}, Numer. Math. 73, No. 4, 521--531 (1996; Zbl 0858.65001) Full Text: DOI
Dieci, Luca; Eirola, Timo Preserving monotonicity in the numerical solution of Riccati differential equations. (English) Zbl 0864.65048 Numer. Math. 74, No. 1, 35-47 (1996). Reviewer: M.M.Konstantinov (Sofia) MSC: 65L05 65L06 93C99 34A34 PDFBibTeX XMLCite \textit{L. Dieci} and \textit{T. Eirola}, Numer. Math. 74, No. 1, 35--47 (1996; Zbl 0864.65048) Full Text: DOI
Homeier, Herbert H. H. Determinantal representations for the \(\mathfrak{J}\) transformation. (English) Zbl 0831.65002 Numer. Math. 71, No. 3, 275-288 (1995). Reviewer: A.López-Carmona (Granada) MSC: 65B05 PDFBibTeX XMLCite \textit{H. H. H. Homeier}, Numer. Math. 71, No. 3, 275--288 (1995; Zbl 0831.65002) Full Text: DOI
Nipp, K.; Stoffer, D. Invariant manifolds and global error estimates of numerical integration schemes applied to stiff systems of singular perturbation type. I: RK- methods. (English) Zbl 0824.65058 Numer. Math. 70, No. 2, 245-257 (1995). Reviewer: S.L.Campbell (Raleigh) MSC: 65L06 65L50 34A34 34E13 34C30 PDFBibTeX XMLCite \textit{K. Nipp} and \textit{D. Stoffer}, Numer. Math. 70, No. 2, 245--257 (1995; Zbl 0824.65058) Full Text: DOI
Schneider, Stefan Convergence results for multistep Runge-Kutta methods on stiff mechanical systems. (English) Zbl 0822.65050 Numer. Math. 69, No. 4, 495-508 (1995). Reviewer: K.Najzar (Praha) MSC: 65L06 65L05 65L70 34E13 34A34 PDFBibTeX XMLCite \textit{S. Schneider}, Numer. Math. 69, No. 4, 495--508 (1995; Zbl 0822.65050) Full Text: DOI
Feichtinger, Hans G.; Gröchenig, Karlheinz; Strohmer, Thomas Efficient numerical methods in non-uniform sampling theory. (English) Zbl 0837.65148 Numer. Math. 69, No. 4, 423-440 (1995). Reviewer: G.Plonka (Rostock) MSC: 65T40 42A15 65F10 PDFBibTeX XMLCite \textit{H. G. Feichtinger} et al., Numer. Math. 69, No. 4, 423--440 (1995; Zbl 0837.65148) Full Text: DOI
Stengle, Gilbert Error analysis of a randomized numerical method. (English) Zbl 0817.65058 Numer. Math. 70, No. 1, 119-128 (1995). Reviewer: D.Petcu (Timişoara) MSC: 65L05 65L06 34A34 PDFBibTeX XMLCite \textit{G. Stengle}, Numer. Math. 70, No. 1, 119--128 (1995; Zbl 0817.65058) Full Text: DOI
Jbilou, K.; Sadok, H. Analysis of some vector extrapolation methods for solving systems of linear equations. (English) Zbl 0836.65044 Numer. Math. 70, No. 1, 73-89 (1995). Reviewer: V.Seppälä (Linnanmaa) MSC: 65F10 PDFBibTeX XMLCite \textit{K. Jbilou} and \textit{H. Sadok}, Numer. Math. 70, No. 1, 73--89 (1995; Zbl 0836.65044) Full Text: DOI
van Iseghem, Jeannette Convergence of vectorial sequences. Applications. (English) Zbl 0805.65001 Numer. Math. 68, No. 4, 549-562 (1994). Reviewer: Jeannette van Iseghem MSC: 65B05 65B10 65F15 65H10 65F10 PDFBibTeX XMLCite \textit{J. van Iseghem}, Numer. Math. 68, No. 4, 549--562 (1994; Zbl 0805.65001) Full Text: DOI
Lubich, Ch. On the multistep time discretization of linear initial-boundary value problems and their boundary integral equations. (English) Zbl 0795.65063 Numer. Math. 67, No. 3, 365-389 (1994). Reviewer: Th.Sonar (Göttingen) MSC: 65M20 65N38 65L06 65M15 35J05 35L05 PDFBibTeX XMLCite \textit{Ch. Lubich}, Numer. Math. 67, No. 3, 365--389 (1994; Zbl 0795.65063) Full Text: DOI
Dieci, Luca; Eirola, Timo Positive definiteness in the numerical solution of Riccati differential equations. (English) Zbl 0791.65050 Numer. Math. 67, No. 3, 303-313 (1994). Reviewer: Luca Dieci (Atlanta) MSC: 65L05 65L06 37-XX PDFBibTeX XMLCite \textit{L. Dieci} and \textit{T. Eirola}, Numer. Math. 67, No. 3, 303--313 (1994; Zbl 0791.65050) Full Text: DOI
Buchauer, O.; Hiltmann, P.; Kiehl, M. Sensitivity analysis of initial-value problems with application to shooting techniques. (English) Zbl 0799.65078 Numer. Math. 67, No. 2, 151-159 (1994). Reviewer: M.Gousidou-Koutita (Thessaloniki) MSC: 65L05 65L06 65L50 34A34 PDFBibTeX XMLCite \textit{O. Buchauer} et al., Numer. Math. 67, No. 2, 151--159 (1994; Zbl 0799.65078) Full Text: DOI
Jay, Laurent Collocation methods for differential-algebraic equations of index 3. (English) Zbl 0791.65056 Numer. Math. 65, No. 4, 407-421 (1993). Reviewer: L.Jay (Genève) MSC: 65L06 65L05 65L60 34A34 PDFBibTeX XMLCite \textit{L. Jay}, Numer. Math. 65, No. 4, 407--421 (1993; Zbl 0791.65056) Full Text: DOI EuDML
Ferrándiz, José M.; Pérez, M. Teresa A family of multistep methods to integrate orbits on spheres. (English) Zbl 0791.65057 Numer. Math. 65, No. 3, 285-300 (1993). Reviewer: José M.Ferrándiz (Valladolid) MSC: 65L06 65L20 34A34 PDFBibTeX XMLCite \textit{J. M. Ferrándiz} and \textit{M. T. Pérez}, Numer. Math. 65, No. 3, 285--300 (1993; Zbl 0791.65057) Full Text: DOI EuDML
Stoffer, Daniel General linear methods: Connection to one step methods and invariant curves. (English) Zbl 0810.65076 Numer. Math. 64, No. 3, 395-408 (1993). Reviewer: K.Burrage (Brisbane) MSC: 65L06 65L05 34A34 34C25 PDFBibTeX XMLCite \textit{D. Stoffer}, Numer. Math. 64, No. 3, 395--408 (1993; Zbl 0810.65076) Full Text: DOI EuDML
Arnold, M.; Strehmel, K.; Weiner, R. Half-explicit Runge-Kutta methods for semi-explicit differential- algebraic equations of index 1. (English) Zbl 0791.65055 Numer. Math. 64, No. 4, 409-431 (1993). Reviewer: M.Arnold (Rostock) MSC: 65L06 65L05 34A34 PDFBibTeX XMLCite \textit{M. Arnold} et al., Numer. Math. 64, No. 4, 409--431 (1993; Zbl 0791.65055) Full Text: DOI EuDML
Lubich, C. Erratum: On the convergence of multistep methods for nonlinear stiff differential equations. (English) Zbl 0759.65046 Numer. Math. 61, No. 2, 277-279 (1992). Reviewer: K.Moszyński (Warszawa) MSC: 65L06 65L05 65L20 34A34 PDFBibTeX XMLCite \textit{C. Lubich}, Numer. Math. 61, No. 2, 277--279 (1992; Zbl 0759.65046) Full Text: DOI EuDML