swMATH ID: 3446
Software Authors: Hosea, M.E.; Shampine, L.F.
Description: Analysis and implementation of TR-BDF2 This paper deals with the successful and popular one-step method, TR-BDF2, for the solution of systems of ordinary differential equations arising in circuit and device simulation [see {it R. E. Bank}, {it W. M. Coughran jun.}, {it W. Fichtner}, {it E. H. Grosse}, {it D. J. Rose} and {it R. K. Smith}, Transient simulation of silicon devices and circuits, IEEE Trans. Comput.-Aided Design 4, 436-451 (1985)]. This method can be viewed as an embedded diagonally implicit Runge-Kutta pair of orders 2 and 3. A detailed inspection yields new results on stability, continuous extension, implementation and on improved local error estimates. Numerical examples show the effectiveness of the refined method.
Homepage: http://ecolego.facilia.se/ecolego/show/TR-BDF2
Keywords: numerical examples; one-step method; TR-BDF2; systems; embedded diagonally implicit Runge-Kutta pair; stability; continuous extension; error estimates
Related Software: RODAS; Matlab; MATLAB ODE suite; ode23s; ode113; Ode15s; ode45; ode23; CHORAL; FreeFem++; MEBDF; VODE; ParaDiag; PARALAAOMPI; MGRIT; pyParareal; iFEM; TAPENADE; BEESCOUT; BEEHAVE
Cited in: 38 Publications

Standard Articles

1 Publication describing the Software, including 1 Publication in zbMATH Year
Analysis and implementation of TR-BDF2. Zbl 0859.65076
Hosea, M. E.; Shampine, L. F.
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Cited by 79 Authors

6 Bonaventura, Luca
3 Dumont, Yves
3 Garres-Díaz, José
3 ter Maten, E. Jan W.
2 Dufourd, Claire
2 Ehlers, Wolfgang
2 Fernández-Nieto, Enrique Domingo
2 Heider, Yousef
2 Markert, Bernd
2 Narbona-Reina, Gladys
2 Shampine, Lawrence Fred
2 Skvortsov, L. M.
1 Alexander, Roger K.
1 Allaart-Bruin, Sandra
1 Anguelov, Roumen
1 Aristizabal, F.
1 Baldazzi, Valentina
1 Bernard, Olivier
1 Boom, Pieter D.
1 Bujurke, Nagendrappa M.
1 Byrne, George D.
1 Capera-Aragones, Pau
1 Carciopolo, L. Delpopolo
1 Carpenter, Mark H.
1 Carrasco, Juan Antonio
1 Casella, Francesco
1 De Oliveira Vilaca, Luis Miguel
1 Della Rocca, A.
1 Delpopolo Carciopolo, Ludovica
1 Feldmann, Uwe
1 Fijnvandraat, J. G.
1 Formaggia, Luca
1 Foxall, Eric
1 Gendelman, Oleg V.
1 Glavinović, M. I.
1 Gómez Mármol, Macarena
1 Gouzé, Jean-Luc
1 Günther, Michael
1 Herrero, Henar
1 Hosea, M. E.
1 Houben, Stephan H. M. J.
1 Hoyas, Sergio
1 Ji, Bingquan
1 Kanso, Hussein
1 Kennedy, Christopher A.
1 Kierzenka, Jacek A.
1 Korous, Lukas
1 Liao, HongLin
1 Malhotra, Manish
1 Memah, Mohamed-Mahmoud
1 Milinkovitch, Michel C.
1 Mucientes, A. E.
1 Owhadi, Houman
1 Perchikov, Nathan
1 Peters, J. M. F.
1 Quilot-Turion, Bénédicte
1 Ranade, Abhiram G.
1 Ruiz-Baier, Ricardo
1 Salimath, Chandrasekhar
1 Scotti, Anna
1 Shiralashetti, Siddu Channabasappa
1 Šolín, Pavel
1 Suñé, Víctor
1 Thompson, Sylvester
1 Tumolo, Giovanni
1 Tyson, Rebecca C.
1 Verduyn Lunel, Sjoerd M.
1 Wang, Lin
1 Wen, Zhiwu
1 Wu, Shulin
1 Xiao, Aiguo
1 Yatat Djeumen, Ivric Valaire
1 Zhang, Lei
1 Zhang, Zhimin
1 Zhou, Tao
1 Zhu, Ting
1 Zingg, David W.
1 Zupan, Dejan
1 Zupan, Eva

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