Edit Profile (opens in new tab) Balac, Stéphane Co-Author Distance Author ID: balac.stephane Published as: Balac, Stéphane; Balac, S. External Links: MGP Documents Indexed: 15 Publications since 2002, including 4 Books Co-Authors: 10 Co-Authors with 13 Joint Publications 181 Co-Co-Authors all top 5 Co-Authors 2 single-authored 3 Chupin, Laurent 3 Mahé, Fabrice 3 Sturm, Frédéric 2 Caloz, Gabriel 2 Fernandez, Arnaud 1 Dauge, Monique 1 Martin, Sébastien 1 Méhats, Florian 1 Moitier, Zoïs 1 Texier-Picard, Rozenn all top 5 Serials 3 Computer Physics Communications 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 IMA Journal of Applied Mathematics 1 Journal of Computational Physics 1 Applied Numerical Mathematics 1 Mathematical and Computer Modelling 1 International Journal of Numerical Modelling 1 Journal of the Korean Society for Industrial and Applied Mathematics all top 5 Fields 9 Optics, electromagnetic theory (78-XX) 7 Partial differential equations (35-XX) 6 Numerical analysis (65-XX) 4 General and overarching topics; collections (00-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Real functions (26-XX) 2 Field theory and polynomials (12-XX) 2 Biology and other natural sciences (92-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 8 Publications have been cited 20 times in 16 Documents Cited by ▼ Year ▼ Embedded Runge-Kutta scheme for step-size control in the interaction picture method. Zbl 1300.65068 Balac, Stéphane; Mahé, Fabrice 5 2013 The interaction picture method for solving the generalized nonlinear Schrödinger equation in optics. Zbl 1401.78014 Balac, Stéphane; Fernandez, Arnaud; Mahé, Fabrice; Méhats, Florian; Texier-Picard, Rozenn 5 2016 Asymptotics for 2D whispering gallery modes in optical micro-disks with radially varying index. Zbl 1491.78008 Balac, Stéphane; Dauge, Monique; Moitier, Zoïs 4 2021 SPIP: a computer program implementing the interaction picture method for simulation of light-wave propagation in optical fibre. Zbl 1344.78002 Balac, Stéphane; Fernandez, Arnaud 2 2016 The reduced scalar potential in regions with permeable materials: reasons for loss of accuracy and cancellation. Zbl 1139.78002 Balac, S.; Caloz, G. 1 2007 An embedded split-step method for solving the nonlinear Schrödinger equation in optics. Zbl 1349.78088 Balac, Stéphane; Mahé, Fabrice 1 2015 High order embedded Runge-Kutta scheme for adaptive step-size control in the interaction picture method. Zbl 1316.65068 Balac, Stéphane 1 2013 Induced magnetic field computations using a boundary integral formulation. Zbl 0998.78012 Balac, S.; Caloz, G. 1 2002 Asymptotics for 2D whispering gallery modes in optical micro-disks with radially varying index. Zbl 1491.78008 Balac, Stéphane; Dauge, Monique; Moitier, Zoïs 4 2021 The interaction picture method for solving the generalized nonlinear Schrödinger equation in optics. Zbl 1401.78014 Balac, Stéphane; Fernandez, Arnaud; Mahé, Fabrice; Méhats, Florian; Texier-Picard, Rozenn 5 2016 SPIP: a computer program implementing the interaction picture method for simulation of light-wave propagation in optical fibre. Zbl 1344.78002 Balac, Stéphane; Fernandez, Arnaud 2 2016 An embedded split-step method for solving the nonlinear Schrödinger equation in optics. Zbl 1349.78088 Balac, Stéphane; Mahé, Fabrice 1 2015 Embedded Runge-Kutta scheme for step-size control in the interaction picture method. Zbl 1300.65068 Balac, Stéphane; Mahé, Fabrice 5 2013 High order embedded Runge-Kutta scheme for adaptive step-size control in the interaction picture method. Zbl 1316.65068 Balac, Stéphane 1 2013 The reduced scalar potential in regions with permeable materials: reasons for loss of accuracy and cancellation. Zbl 1139.78002 Balac, S.; Caloz, G. 1 2007 Induced magnetic field computations using a boundary integral formulation. Zbl 0998.78012 Balac, S.; Caloz, G. 1 2002 all cited Publications top 5 cited Publications all top 5 Cited by 40 Authors 3 Balac, Stéphane 2 Crouseilles, Nicolas 2 Fernandez, Arnaud 2 Mahé, Fabrice 2 Massot, Josselin 2 Spence, Euan A. 1 Balach, S. 1 Benoit-Cattin, Hugues 1 Besse, Christophe 1 Chandler-Wilde, Simon N. 1 Chen, Zhenchao 1 Crestetto, Anaïs 1 Dauge, Monique 1 Dujardin, Guillaume Michel 1 Einkemmer, Lukas 1 Filippas, Spyridon 1 Grubišić, Luka 1 Hiptmair, Ralf 1 Hochbruck, Marlis 1 Jiang, Tao 1 Jiang, Yaolin 1 Kang, Tong 1 Koch, Othmar 1 Lacroix-Violet, Ingrid 1 Lamotte, T. 1 Leibold, Jan 1 Li, Yingzhe 1 Lu, Weigang 1 Méhats, Florian 1 Moiola, Andrea 1 Odet, Christophe 1 Ostermann, Alexander 1 Renner, Diego 1 Texier-Picard, Rozenn 1 Wang, Bin 1 Wang, Dengshan 1 Wang, Ran 1 Wunsch, Jared 1 Yuan, Jinyun 1 Zhang, Huai all top 5 Cited in 11 Serials 3 Computer Physics Communications 2 Journal of Computational Physics 2 Journal of Scientific Computing 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Numerische Mathematik 1 SIAM Journal on Numerical Analysis 1 Numerical Methods for Partial Differential Equations 1 Mathematical and Computer Modelling 1 SIAM Journal on Applied Mathematics 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Oberwolfach Reports all top 5 Cited in 10 Fields 13 Partial differential equations (35-XX) 13 Numerical analysis (65-XX) 4 Optics, electromagnetic theory (78-XX) 2 Quantum theory (81-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 General and overarching topics; collections (00-XX) 1 Integral equations (45-XX) 1 Operator theory (47-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Systems theory; control (93-XX) Citations by Year