pde2path swMATH ID: 8571 Software Authors: H. Uecker, D. Wetzel, J. Rademacher Description: pde2path - a Matlab package for continuation and bifurcation in 2D elliptic systems. pde2path is a free and easy to use Matlab continuation/bifurcation package for elliptic systems of PDEs with arbitrary many components, on general two dimensional domains, and with rather general boundary conditions. The package is based on the FEM of the Matlab pdetool, and is explained by a number of examples, including Bratu’s problem, the Schnakenberg model, Rayleigh Benard convection, and von Karman plate equations. These serve as templates to study new problems. The basic algorithm is a one parameter arclength-continuation, including a parallel computing version. Stability calculations, error control and mesh-handling, and some elementary time-integration are also supported. The continuation, branch-switching, plotting etc are performed via matlab command-line function calls guided by the Auto style. Homepage: http://www.staff.uni-oldenburg.de/hannes.uecker/pde2path/ Dependencies: Matlab Related Software: AUTO; Matlab; MATCONT; AUTO-07P; COCO; HomCont; GitHub; LOCA; CL_MATCONT; DDE-BIFTOOL; SymPy; Python; OOPDE; oomph-lib; psSchur; PETSc; CL_MATCONTL; PyDSTool; FFTW; ode45 Cited in: 51 Publications Standard Articles 1 Publication describing the Software, including 1 Publication in zbMATH Year pde2path – a Matlab package for continuation and bifurcation in 2D elliptic systems. Zbl 1313.65311Uecker, Hannes; Wetzel, Daniel; Rademacher, Jens D. M. 2014 all top 5 Cited by 81 Authors 8 Uecker, Hannes 6 Rademacher, Jens Diederich Michael 5 Kühn, Christian 4 Soresina, Cinzia 4 Wetzel, Daniel 3 Gurevich, Svetlana V. 3 Ward, Michael J. 2 Gavish, Nir 2 McLachlan, Robert I. 2 Offen, Christian 2 Siero, Eric 2 Thiele, Uwe 2 Woolley, Thomas E. 1 Barbieri, Ettore 1 Beaume, Cédric 1 Blyth, Mark G. 1 Boullé, Nicolas 1 Breden, Maxime 1 Buttenschön, Andreas 1 Carter, Paul M. 1 Chirilus-Bruckner, Martina 1 Consolo, Giancarlo 1 de Witt, Hannes 1 Doelman, Arjen 1 Dohnal, Tomáš 1 Edelstein-Keshet, Leah 1 Ehstand, Noémie 1 Eppinga, M. B. 1 Farrell, Patrick Emmet 1 Gaffney, Eamonn A. 1 Gärtner, Janina 1 Giannino, Francesco 1 Göklü, Ertan 1 Grass, Dieter 1 Grifó, Gabriele 1 Han-Kwan, Daniel 1 Hao, Wenrui 1 Iuorio, Annalisa 1 Jüngel, Ansgar 1 Kalliadasis, Serafim 1 Kenneth, Oded 1 Keren, Amit 1 Krause, Andrew L. 1 Kreusser, Lisa Maria 1 Laing, Carlo R. 1 Lämmerzahl, Claus 1 Lappicy, Phillipo 1 Lee, Sungrim Seirin 1 Lin, Te-Sheng 1 Lloyd, David J. B. 1 Ly, Phong-Minh Timmy 1 Mandel, Rainer 1 Marasco, Addolorata 1 Marojević, Želimir 1 Mitas, Kevin David Joachim 1 Moitier, Zoïs 1 Morita, Yoshihisa 1 Nagata, Wayne 1 Net, Marta 1 Ongaro, Federica 1 Paganini, Alberto 1 Panajotov, Krassimir 1 Paquin-Lefebvre, Frédéric 1 Pugno, Nicola Maria 1 Reichel, Wolfgang 1 Rietkerk, Max 1 Sanchez-Umbria, Juan 1 Sandstede, Björn 1 Siemer, Lars 1 Siteur, Koen 1 Stegemerten, Fenna 1 Tabbert, F. 1 Tlidi, Mustapha 1 Trussardi, Lara 1 Tseluiko, Dmitri 1 Tzou, Justin C. 1 Tzou, Leo 1 van Heijster, Peter 1 Verfürth, Barbara 1 Xue, Chuan 1 Zhelyazov, Delyan all top 5 Cited in 29 Serials 6 SIAM Journal on Applied Dynamical Systems 5 Physica D 4 Nonlinearity 3 Bulletin of Mathematical Biology 3 Discrete and Continuous Dynamical Systems. Series S 2 Journal of Mathematical Biology 2 Journal of Nonlinear Science 2 Chaos 2 Communications in Computational Physics 2 SN Partial Differential Equations and Applications 1 Computer Methods in Applied Mechanics and Engineering 1 Computer Physics Communications 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Chaos, Solitons and Fractals 1 Applied Mathematics and Computation 1 Ricerche di Matematica 1 Applied Mathematics Letters 1 European Journal of Applied Mathematics 1 SIAM Journal on Mathematical Analysis 1 SIAM Journal on Scientific Computing 1 Electronic Journal of Differential Equations (EJDE) 1 Communications in Nonlinear Science and Numerical Simulation 1 Foundations of Computational Mathematics 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Mathematical Biosciences and Engineering 1 Numerical Mathematics: Theory, Methods and Applications 1 The Journal of Mathematical Neuroscience 1 Journal of Computational Dynamics all top 5 Cited in 15 Fields 43 Partial differential equations (35-XX) 23 Numerical analysis (65-XX) 14 Biology and other natural sciences (92-XX) 11 Dynamical systems and ergodic theory (37-XX) 4 Fluid mechanics (76-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Operator theory (47-XX) 3 Optics, electromagnetic theory (78-XX) 2 Ordinary differential equations (34-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Systems theory; control (93-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of particles and systems (70-XX) 1 Mechanics of deformable solids (74-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year