Wu, Shu-Lin; Wang, Zhiyong; Zhou, Tao PinT preconditioner for forward-backward evolutionary equations. (English) Zbl 07783213 SIAM J. Matrix Anal. Appl. 44, No. 4, 1771-1798 (2023). MSC: 65M55 65F08 65F10 65F22 65F15 65J20 65H10 49M41 65M06 65L06 65M12 65M15 65Y05 15B05 93B05 93B20 PDFBibTeX XMLCite \textit{S.-L. Wu} et al., SIAM J. Matrix Anal. Appl. 44, No. 4, 1771--1798 (2023; Zbl 07783213) Full Text: DOI
Li, Shishun; Wang, Jing-Yuan; Cai, Xiao-Chuan \(A\)-stable high-order block implicit methods for parabolic equations. (English) Zbl 1520.65053 SIAM J. Numer. Anal. 61, No. 4, 1858-1884 (2023). MSC: 65L05 65L20 65M55 65M60 PDFBibTeX XMLCite \textit{S. Li} et al., SIAM J. Numer. Anal. 61, No. 4, 1858--1884 (2023; Zbl 1520.65053) Full Text: DOI
Li, Jian; Wang, Xue; Al Mahbub, Md. Abdullah; Zheng, Haibiao; Chen, Zhangxin Local and parallel efficient BDF2 and BDF3 rotational pressure-correction schemes for a coupled Stokes/Darcy system. (English) Zbl 1491.65098 J. Comput. Appl. Math. 412, Article ID 114326, 18 p. (2022). Reviewer: Bülent Karasözen (Ankara) MSC: 65M60 65M06 65N30 65M12 65M55 65Y05 76S05 76D07 35J05 PDFBibTeX XMLCite \textit{J. Li} et al., J. Comput. Appl. Math. 412, Article ID 114326, 18 p. (2022; Zbl 1491.65098) Full Text: DOI
Chang, Shuenn-Yih A family of matrix coefficient formulas for solving ordinary differential equations. (English) Zbl 1510.65137 Appl. Math. Comput. 418, Article ID 126811, 17 p. (2022). MSC: 65L05 34A30 34A34 PDFBibTeX XMLCite \textit{S.-Y. Chang}, Appl. Math. Comput. 418, Article ID 126811, 17 p. (2022; Zbl 1510.65137) Full Text: DOI
Kulikova, Maria V.; Kulikov, Gennady Yu. Square-root filtering via covariance SVD factors in the accurate continuous-discrete extended-cubature Kalman filter. (English) Zbl 1482.65008 Appl. Numer. Math. 171, 32-44 (2022). MSC: 65C30 60H10 65L04 65L05 65L06 PDFBibTeX XMLCite \textit{M. V. Kulikova} and \textit{G. Yu. Kulikov}, Appl. Numer. Math. 171, 32--44 (2022; Zbl 1482.65008) Full Text: DOI
Buvoli, Tommaso; Minion, Michael IMEX Runge-Kutta parareal for non-diffusive equations. (English) Zbl 1509.65064 Ong, Benjamin (ed.) et al., Parallel-in-time integration methods. 9th parallel-in-time workshop, virtual, June 8–12, 2020. Cham: Springer. Springer Proc. Math. Stat. 356, 95-127 (2021). MSC: 65L06 65Y05 65Y20 65M12 65M55 PDFBibTeX XMLCite \textit{T. Buvoli} and \textit{M. Minion}, Springer Proc. Math. Stat. 356, 95--127 (2021; Zbl 1509.65064) Full Text: DOI arXiv
Jiao, Xiangmin; Wang, Xuebin; Chen, Qiao Optimal and low-memory near-optimal preconditioning of fully implicit Runge-Kutta schemes for parabolic PDEs. (English) Zbl 07418132 SIAM J. Sci. Comput. 43, No. 5, A3527-A3551 (2021). MSC: 65F08 65F50 65M99 PDFBibTeX XMLCite \textit{X. Jiao} et al., SIAM J. Sci. Comput. 43, No. 5, A3527--A3551 (2021; Zbl 07418132) Full Text: DOI arXiv
Benedusi, Pietro; Minion, Michael L.; Krause, Rolf An experimental comparison of a space-time multigrid method with PFASST for a reaction-diffusion problem. (English) Zbl 1524.65516 Comput. Math. Appl. 99, 162-170 (2021). MSC: 65M60 65M55 65Y05 65M15 65L05 65M70 65M12 65F10 35K05 65L04 65N30 65M06 65N50 PDFBibTeX XMLCite \textit{P. Benedusi} et al., Comput. Math. Appl. 99, 162--170 (2021; Zbl 1524.65516) Full Text: DOI arXiv
DeCaria, Victor P.; Hauck, Cory D.; Laiu, Ming Tse P. Analysis of a new implicit solver for a semiconductor model. (English) Zbl 1471.65121 SIAM J. Sci. Comput. 43, No. 3, B733-B758 (2021). Reviewer: Abdallah Bradji (Annaba) MSC: 65M22 65M12 65M55 35Q81 35Q83 35Q20 35Q60 PDFBibTeX XMLCite \textit{V. P. DeCaria} et al., SIAM J. Sci. Comput. 43, No. 3, B733--B758 (2021; Zbl 1471.65121) Full Text: DOI arXiv
Li, Jian; Yao, Min; Mahbub, Md. Abdullah Al; Zheng, Haibiao The efficient rotational pressure-correction schemes for the coupling Stokes/Darcy problem. (English) Zbl 1443.65187 Comput. Math. Appl. 79, No. 2, 337-353 (2020). MSC: 65M55 PDFBibTeX XMLCite \textit{J. Li} et al., Comput. Math. Appl. 79, No. 2, 337--353 (2020; Zbl 1443.65187) Full Text: DOI
Laiu, M. Paul; Chen, Zheng; Hauck, Cory D. A fast implicit solver for semiconductor models in one space dimension. (English) Zbl 1437.65132 J. Comput. Phys. 417, Article ID 109567, 19 p. (2020). MSC: 65M55 35Q81 65Z05 65M60 PDFBibTeX XMLCite \textit{M. P. Laiu} et al., J. Comput. Phys. 417, Article ID 109567, 19 p. (2020; Zbl 1437.65132) Full Text: DOI arXiv
Maday, Y.; Mula, O. An adaptive parareal algorithm. (English) Zbl 1439.65073 J. Comput. Appl. Math. 377, Article ID 112915, 17 p. (2020). MSC: 65L04 65L05 65M55 65Y05 PDFBibTeX XMLCite \textit{Y. Maday} and \textit{O. Mula}, J. Comput. Appl. Math. 377, Article ID 112915, 17 p. (2020; Zbl 1439.65073) Full Text: DOI arXiv Link
Hessenthaler, Andreas; Southworth, Ben S.; Nordsletten, David; Röhrle, Oliver; Falgout, Robert D.; Schroder, Jacob B. Multilevel convergence analysis of multigrid-reduction-in-time. (English) Zbl 1432.65177 SIAM J. Sci. Comput. 42, No. 2, A771-A796 (2020). MSC: 65N55 65N06 65L06 65Y05 PDFBibTeX XMLCite \textit{A. Hessenthaler} et al., SIAM J. Sci. Comput. 42, No. 2, A771--A796 (2020; Zbl 1432.65177) Full Text: DOI arXiv
Götschel, Sebastian; Minion, Michael L. An efficient parallel-in-time method for optimization with parabolic PDEs. (English) Zbl 07149707 SIAM J. Sci. Comput. 41, No. 6, C603-C626 (2019). MSC: 65K10 65M55 65M70 65Y05 PDFBibTeX XMLCite \textit{S. Götschel} and \textit{M. L. Minion}, SIAM J. Sci. Comput. 41, No. 6, C603--C626 (2019; Zbl 07149707) Full Text: DOI arXiv
Gander, Martin J.; Wu, Shu-Lin Convergence analysis of a periodic-like waveform relaxation method for initial-value problems via the diagonalization technique. (English) Zbl 1472.65083 Numer. Math. 143, No. 2, 489-527 (2019). Reviewer: Soheil Hajian (Berlin) MSC: 65L05 65M55 65L20 65M20 65M22 PDFBibTeX XMLCite \textit{M. J. Gander} and \textit{S.-L. Wu}, Numer. Math. 143, No. 2, 489--527 (2019; Zbl 1472.65083) Full Text: DOI
Arrarás, A.; Portero, L. Decoupling mixed finite elements on hierarchical triangular grids for parabolic problems. (English) Zbl 1426.76215 Appl. Math. Comput. 319, 662-680 (2018). MSC: 76M10 65M60 35K20 65M55 68W10 76S05 PDFBibTeX XMLCite \textit{A. Arrarás} and \textit{L. Portero}, Appl. Math. Comput. 319, 662--680 (2018; Zbl 1426.76215) Full Text: DOI arXiv Link
Arab Ameri, Maryam; Soheili, Ali R.; Barfeie, Mahdiar RBFs meshless method of lines for time-dependent PDEs with decomposition of interior and boundary data centers. (English) Zbl 1448.65253 Iran. J. Sci. Technol., Trans. A, Sci. 42, No. 1, 47-58 (2018). MSC: 65N35 65N40 65N55 35Q53 PDFBibTeX XMLCite \textit{M. Arab Ameri} et al., Iran. J. Sci. Technol., Trans. A, Sci. 42, No. 1, 47--58 (2018; Zbl 1448.65253) Full Text: DOI
Garrett, C. Kristopher; Hauck, Cory D. A fast solver for implicit integration of the Vlasov-Poisson system in the Eulerian framework. (English) Zbl 1397.76067 SIAM J. Sci. Comput. 40, No. 2, B483-B506 (2018). MSC: 76M10 65M60 65M55 76X05 PDFBibTeX XMLCite \textit{C. K. Garrett} and \textit{C. D. Hauck}, SIAM J. Sci. Comput. 40, No. 2, B483--B506 (2018; Zbl 1397.76067) Full Text: DOI
Owhadi, Houman; Zhang, Lei Gamblets for opening the complexity-bottleneck of implicit schemes for hyperbolic and parabolic ODEs/PDEs with rough coefficients. (English) Zbl 1380.65406 J. Comput. Phys. 347, 99-128 (2017). MSC: 65N55 65T60 35R05 PDFBibTeX XMLCite \textit{H. Owhadi} and \textit{L. Zhang}, J. Comput. Phys. 347, 99--128 (2017; Zbl 1380.65406) Full Text: DOI arXiv Link
Ben Belgacem, Faker; Débit, Naïma; El Fekih, Henda; Khiari, Souad A finite element method for the inverse problem of boundary data recovery in an oxygen balance model. (English) Zbl 1457.65082 J. Inverse Ill-Posed Probl. 24, No. 5, 499-513 (2016). MSC: 65M32 65M30 65N30 65L80 35A15 35R30 35R25 76V05 PDFBibTeX XMLCite \textit{F. Ben Belgacem} et al., J. Inverse Ill-Posed Probl. 24, No. 5, 499--513 (2016; Zbl 1457.65082) Full Text: DOI HAL
Gander, Martin J.; Neumüller, Martin Analysis of a new space-time parallel multigrid algorithm for parabolic problems. (English) Zbl 1342.65225 SIAM J. Sci. Comput. 38, No. 4, A2173-A2208 (2016). MSC: 65N55 65F10 65L60 PDFBibTeX XMLCite \textit{M. J. Gander} and \textit{M. Neumüller}, SIAM J. Sci. Comput. 38, No. 4, A2173--A2208 (2016; Zbl 1342.65225) Full Text: DOI arXiv
Speck, Robert; Ruprecht, Daniel; Emmett, Matthew; Minion, Michael; Bolten, Matthias; Krause, Rolf A multi-level spectral deferred correction method. (English) Zbl 1326.65138 BIT 55, No. 3, 843-867 (2015). MSC: 65M70 65M55 35L05 35Q53 65M06 65M12 PDFBibTeX XMLCite \textit{R. Speck} et al., BIT 55, No. 3, 843--867 (2015; Zbl 1326.65138) Full Text: DOI arXiv Link
Dimarco, Giacomo; Mieussens, Luc; Rispoli, Vittorio An asymptotic preserving automatic domain decomposition method for the Vlasov-Poisson-BGK system with applications to plasmas. (English) Zbl 1351.76101 J. Comput. Phys. 274, 122-139 (2014). MSC: 76M12 65M08 65M55 76X05 82D10 82C80 PDFBibTeX XMLCite \textit{G. Dimarco} et al., J. Comput. Phys. 274, 122--139 (2014; Zbl 1351.76101) Full Text: DOI
Langer, Stefan Agglomeration multigrid methods with implicit Runge-Kutta smoothers applied to aerodynamic simulations on unstructured grids. (English) Zbl 1349.76353 J. Comput. Phys. 277, 72-100 (2014). MSC: 76M12 65M08 65M55 76G25 PDFBibTeX XMLCite \textit{S. Langer}, J. Comput. Phys. 277, 72--100 (2014; Zbl 1349.76353) Full Text: DOI
Baum, A. K.; Mehrmann, V. Numerical integration of positive linear differential-algebraic systems. (English) Zbl 1277.65068 Numer. Math. 124, No. 2, 279-307 (2013). Reviewer: Kevin Burrage (Brisbane) MSC: 65L80 65L08 34A09 PDFBibTeX XMLCite \textit{A. K. Baum} and \textit{V. Mehrmann}, Numer. Math. 124, No. 2, 279--307 (2013; Zbl 1277.65068) Full Text: DOI Link
Portero, L.; Arrarás, A.; Jorge, J. C. Variable step-size fractional step Runge-Kutta methods for time-dependent partial differential equations. (English) Zbl 1251.65135 Appl. Numer. Math. 62, No. 10, 1463-1476 (2012). MSC: 65M20 35K20 65L06 65L50 65M55 65M15 PDFBibTeX XMLCite \textit{L. Portero} et al., Appl. Numer. Math. 62, No. 10, 1463--1476 (2012; Zbl 1251.65135) Full Text: DOI
Hager, Corinna; Hauret, Patrice; Le Tallec, Patrick; Wohlmuth, Barbara I. Solving dynamic contact problems with local refinement in space and time. (English) Zbl 1239.74066 Comput. Methods Appl. Mech. Eng. 201-204, 25-41 (2012). MSC: 74M15 65M55 65M60 PDFBibTeX XMLCite \textit{C. Hager} et al., Comput. Methods Appl. Mech. Eng. 201--204, 25--41 (2012; Zbl 1239.74066) Full Text: DOI HAL
Ramage, Alison; von Sydow, Lina A multigrid preconditioner for an adaptive Black-Scholes solver. (English) Zbl 1211.91251 BIT 51, No. 1, 217-233 (2011). MSC: 91G60 65M06 65F08 65M55 PDFBibTeX XMLCite \textit{A. Ramage} and \textit{L. von Sydow}, BIT 51, No. 1, 217--233 (2011; Zbl 1211.91251) Full Text: DOI
Wang, Linxiang; Willatzen, M. Modelling of nonlinear dynamics for reciprocal multi-layer piezoceramic transducer systems. (English) Zbl 1185.82078 Appl. Math. Modelling 33, No. 5, 2263-2273 (2009). MSC: 82D99 37N99 PDFBibTeX XMLCite \textit{L. Wang} and \textit{M. Willatzen}, Appl. Math. Modelling 33, No. 5, 2263--2273 (2009; Zbl 1185.82078) Full Text: DOI
Caboussat, Alexandre; Leonard, Allison Numerical solution and fast-slow decomposition of a population of weakly coupled systems. (English) Zbl 1187.65085 Discrete Contin. Dyn. Syst. 2009, Suppl., 123-132 (2009). MSC: 65L80 65L05 70K70 65L12 65H10 92D40 PDFBibTeX XMLCite \textit{A. Caboussat} and \textit{A. Leonard}, Discrete Contin. Dyn. Syst. 2009, 123--132 (2009; Zbl 1187.65085) Full Text: Link
Guo, Ben-yu; Wang, Zhong-qing Legendre-Gauss collocation methods for ordinary differential equations. (English) Zbl 1162.65375 Adv. Comput. Math. 30, No. 3, 249-280 (2009). MSC: 65L60 65L05 65L06 65L20 34A34 PDFBibTeX XMLCite \textit{B.-y. Guo} and \textit{Z.-q. Wang}, Adv. Comput. Math. 30, No. 3, 249--280 (2009; Zbl 1162.65375) Full Text: DOI
Boonen, Tim; van Lent, Jan; Vandewalle, Stefan An algebraic multigrid method for high order time-discretizations of the div-grad and the curl-curl equations. (English) Zbl 1160.65331 Appl. Numer. Math. 59, No. 3-4, 507-521 (2009). MSC: 65M20 35K55 65M60 65M06 65M12 65L06 65M55 PDFBibTeX XMLCite \textit{T. Boonen} et al., Appl. Numer. Math. 59, No. 3--4, 507--521 (2009; Zbl 1160.65331) Full Text: DOI Link
Hochbruck, Marlis; Niehoff, Jörg Approximation of matrix operators applied to multiple vectors. (English) Zbl 1189.65077 Math. Comput. Simul. 79, No. 4, 1270-1283 (2008). Reviewer: Gennadij Demidenko (Novosibirsk) MSC: 65F30 65F10 15A16 PDFBibTeX XMLCite \textit{M. Hochbruck} and \textit{J. Niehoff}, Math. Comput. Simul. 79, No. 4, 1270--1283 (2008; Zbl 1189.65077) Full Text: DOI Link
Arponen, Teijo; Piipponen, Samuli; Tuomela, Jukka Analysing singularities of a benchmark problem. (English) Zbl 1259.70002 Multibody Syst. Dyn. 19, No. 3, 227-253 (2008). MSC: 70B15 PDFBibTeX XMLCite \textit{T. Arponen} et al., Multibody Syst. Dyn. 19, No. 3, 227--253 (2008; Zbl 1259.70002) Full Text: DOI arXiv
Arponen, Teijo Tensor invariants in numerical geometric integration of ODEs. (English) Zbl 1118.65072 J. Comput. Appl. Math. 205, No. 2, 791-801 (2007). Reviewer: Kai Diethelm (Braunschweig) MSC: 65L05 65L06 34A34 34A26 PDFBibTeX XMLCite \textit{T. Arponen}, J. Comput. Appl. Math. 205, No. 2, 791--801 (2007; Zbl 1118.65072) Full Text: DOI
Glowinski, Roland; Toivanen, Jari A multigrid preconditioner and automatic differentiation for non-equilibrium radiation diffusion problems. (English) Zbl 1070.65092 J. Comput. Phys. 207, No. 1, 354-374 (2005). MSC: 65M55 35K55 65M20 65L06 65F10 65F35 65D25 PDFBibTeX XMLCite \textit{R. Glowinski} and \textit{J. Toivanen}, J. Comput. Phys. 207, No. 1, 354--374 (2005; Zbl 1070.65092) Full Text: DOI
Trangenstein, John A.; Kim, Chisup Operator splitting and adaptive mesh refinement for the Luo-Rudy I model. (English) Zbl 1056.92014 J. Comput. Phys. 196, No. 2, 645-679 (2004). MSC: 92C30 93C05 92C50 65M06 PDFBibTeX XMLCite \textit{J. A. Trangenstein} and \textit{C. Kim}, J. Comput. Phys. 196, No. 2, 645--679 (2004; Zbl 1056.92014) Full Text: DOI
Zhao, Shuangsuo An efficient implementation scheme of the simplified Newton iteration for block systems of nonlinear equations. (English) Zbl 0995.65059 Appl. Numer. Math. 39, No. 2, 225-237 (2001). Reviewer: Vasile Berinde (Baia Mare) MSC: 65H10 65Y05 34A34 65L05 PDFBibTeX XMLCite \textit{S. Zhao}, Appl. Numer. Math. 39, No. 2, 225--237 (2001; Zbl 0995.65059) Full Text: DOI
Beck, Rudi; Hiptmair, Ralf; Hoppe, Ronald H. W.; Wohlmuth, Barbara Residual based a posteriori error estimators for eddy current computation. (English) Zbl 0949.65113 M2AN, Math. Model. Numer. Anal. 34, No. 1, 159-182 (2000). Reviewer: Michael Sever (Jerusalem) MSC: 65N15 65N30 78A55 78M10 65N50 35Q60 PDFBibTeX XMLCite \textit{R. Beck} et al., M2AN, Math. Model. Numer. Anal. 34, No. 1, 159--182 (2000; Zbl 0949.65113) Full Text: DOI EuDML Link
Rükgauer, A.; Schiehlen, W. Simulation of modular mechatronic systems with application to vehicle dynamics. (English) Zbl 0901.70004 Acta Mech. 125, No. 1-4, 183-196 (1997). MSC: 70-08 70E15 70B15 PDFBibTeX XMLCite \textit{A. Rükgauer} and \textit{W. Schiehlen}, Acta Mech. 125, No. 1--4, 183--196 (1997; Zbl 0901.70004) Full Text: DOI
de Swart, Jacques J. B. A simple ODE solver based on 2-stage Radau IIA. (English) Zbl 0886.65081 J. Comput. Appl. Math. 84, No. 2, 277-280 (1997). Reviewer: G.Kalnova and A.Handlovicova (Bratislava) MSC: 65L06 65L05 34A34 PDFBibTeX XMLCite \textit{J. J. B. de Swart}, J. Comput. Appl. Math. 84, No. 2, 277--280 (1997; Zbl 0886.65081) Full Text: DOI
Piché, Robert An \(L\)-stable Rosenbrock method for step-by-step time integration in structural dynamics. (English) Zbl 1067.74596 Comput. Methods Appl. Mech. Eng. 126, No. 3-4, 343-354 (1995). MSC: 74S20 74H15 65M12 PDFBibTeX XMLCite \textit{R. Piché}, Comput. Methods Appl. Mech. Eng. 126, No. 3--4, 343--354 (1995; Zbl 1067.74596) Full Text: DOI