PITCON swMATH ID: 4244 Software Authors: Werner Rheinboldt; John Burkardt Description: Algorithm 596: Methods for solving systems of nonlinear equations. Chapter 7: Parametrized systems of equations. Continuation methods, in particular an ordinary differential equations approach, the code PITCON and simplicial approximation of manifolds are contained. (netlib contin) Homepage: http://www.netlib.org/contin/index.html Programming Languages: fortran Related Software: HOMPACK; AUTO-86; AUTO; ALCON; RODAS; DSTool; HomCont; COLNEW; PLTMG; LOCBIF; MATCONT; mctoolbox; psSchur; COLSYS; KELLEY; DASSL; ARPACK; EISPACK; minpack; TENSOLVE Cited in: 258 Publications Standard Articles 1 Publication describing the Software, including 1 Publication in zbMATH Year Methods for solving systems of nonlinear equations. 2nd ed. Zbl 0906.65051Rheinboldt, Werner C. 1998 all top 5 Cited by 292 Authors 17 Rheinboldt, Werner C. 16 Govaerts, Willy J. F. 15 Watson, Layne Terry 8 Chien, Cheng-Sheng 7 Doedel, Eusebius J. 7 Eriksson, Anders B. 6 Spence, Alastair 5 Allgower, Eugene L. 5 Morgan, Alexander P. 5 Poore, Aubrey B. 5 Smiley, Michael W. 4 Argyros, Ioannis Konstantinos 4 Aston, Philip J. 4 Freire Macías, Emilio 4 Khibnik, Alexander I. 4 Mei, Zhen 4 Pryce, John D. 4 Reich, Sebastian 4 Ribbens, Calvin J. 4 Rodríguez-Luis, Alejandro J. 4 Roose, Dirk 4 Tsuchiya, Takuya 4 Walker, Homer F. 3 Allison, Donald C. S. 3 Beyn, Wolf-Jürgen 3 Chang, Shing-Lin 3 Chu, Moody T. 3 Chun, Changbum 3 Dent, Deborah 3 Georg, Kurt 3 Irani, Kashmira M. 3 Jackiewicz, Zdzislaw 3 Keller, Herbert Bishop 3 Kouhia, Reijo 3 Kucaba-Pietal, Anna 3 Martínez, José Mario 3 Neumaier, Arnold 3 Pacoste, Costin 3 Paprzycki, Marcin 3 Pizarro, Luis 3 Sommese, Andrew John 3 Wampler, Charles W. II 2 Attili, Basem S. 2 Brezinski, Claude 2 Cardona, Alberto 2 Caulfield, C. P. 2 Champneys, Alan R. 2 Chu, King-Wah Eric 2 Cliffe, K. Andrew 2 de Dier, Bart 2 DeMarzo, Peter M. 2 Dichmann, Donald J. 2 Eaves, B. Curtis 2 Friedman, Mark J. 2 Gaitonde, Ann L. 2 Galán-Vioque, Jorge 2 Garratt, T. J. 2 Gervais, Jean-Jacques 2 Griewank, Andreas 2 Guckenheimer, John M. 2 Guddat, Jürgen 2 Haftka, Raphael T. 2 Hong, Bin 2 Huespe, Alfredo E. 2 Jeng, B.-W. 2 Kerswell, Richard Rodney 2 Kuznetsov, Yuri Alexandrovich 2 Leimkuhler, Benedict J. 2 Li, Zi-Cai 2 Lorenz, Jens 2 Lundberg, Bruce N. 2 Lust, Kurt 2 Mejia, Raymond 2 Mittelmann, Hans Detlef 2 Nakao, Mitsuhiro T. 2 Negrón-Marrero, Pablo V. 2 Nowack, Dieter 2 Paffenroth, Randy C. 2 Pang, Jong-Shi 2 Plum, Michael 2 Potra, Florian-Alexandru 2 Rabier, Patrick J. 2 Rückmann, Jan-Joachim 2 Sadiky, Hassan 2 Santos, Felix Christian Guimarães 2 Schwartz, Ira Bruce 2 Van de Velde, Eric F. 2 Vanderbauwhede, Andre L. 2 Wales, Chris 2 Wu, Wei 2 Yen, Jeng 1 Abdel-Malek, K. A. 1 Akella, Maruthi Ram 1 Al-Hassan, Qassem M. 1 Alolyan, Ibraheem 1 Anderssen, Robert Scott 1 Andò, Alessia 1 Andrew, Alan L. 1 Avitabile, Daniele 1 Babuška, Ivo ...and 192 more Authors all top 5 Cited in 94 Serials 16 SIAM Journal on Numerical Analysis 15 Computer Methods in Applied Mechanics and Engineering 15 Journal of Computational and Applied Mathematics 14 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 11 Numerische Mathematik 6 Computers and Structures 6 SIAM Journal on Scientific and Statistical Computing 5 Journal of Fluid Mechanics 5 SIAM Review 4 Computers & Mathematics with Applications 4 Applied Mathematics and Computation 4 Numerical Functional Analysis and Optimization 4 Mathematical and Computer Modelling 4 Nonlinear Analysis. 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Zeitschrift für Angewandte Mathematik und Mechanik 2 Mechanism and Machine Theory 2 Computer Assisted Mechanics and Engineering Sciences 2 International Journal of Structural Stability and Dynamics 1 Applicable Analysis 1 Computer Physics Communications 1 IMA Journal of Applied Mathematics 1 International Journal of Control 1 International Journal of Non-Linear Mechanics 1 International Journal of Systems Science 1 Inverse Problems 1 Journal of Applied Mechanics 1 Journal of Computational Physics 1 Journal of the Franklin Institute 1 Journal of Mathematical Analysis and Applications 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 ACM Transactions on Mathematical Software 1 Automatica 1 BIT 1 Journal of Mathematical Economics 1 Manuscripta Mathematica 1 Mathematics of Operations Research 1 Mathematical Programming 1 Monatshefte für Mathematik 1 SIAM Journal on Control and Optimization 1 Numerical Mathematics 1 Advances in Applied Mathematics 1 Circuits, Systems, and Signal Processing 1 Acta Mathematica Hungarica 1 Computational Mechanics 1 Numerical Methods for Partial Differential Equations 1 European Journal of Applied Mathematics 1 Annals of Operations Research 1 Journal of Global Optimization 1 The Journal of Supercomputing 1 Numerical Algorithms 1 Annals of Physics 1 SIAM Journal on Mathematical Analysis 1 Communications in Numerical Methods in Engineering 1 Computational and Applied Mathematics 1 Methods and Applications of Analysis 1 Computing and Visualization in Science 1 Nonlinear Dynamics 1 Chaos 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Engineering Computations 1 Mathematical Modelling and Analysis 1 Visnyk L’vivs’kogo Universytetu. Seriya Prykladna Matematyka ta Informatyka 1 SIAM Journal on Applied Dynamical Systems 1 Acta Numerica 1 CBMS-NSF Regional Conference Series in Applied Mathematics 1 ISNM. International Series of Numerical Mathematics 1 Lecture Notes in Mathematics 1 Springer Series in Computational Mathematics 1 Studies in Computational Mathematics 1 Discrete and Continuous Dynamical Systems. Series S 1 Berichte aus der Mathematik 1 Mechanical Engineering Series all top 5 Cited in 34 Fields 184 Numerical analysis (65-XX) 50 Ordinary differential equations (34-XX) 35 Mechanics of deformable solids (74-XX) 33 Partial differential equations (35-XX) 30 Dynamical systems and ergodic theory (37-XX) 22 Operations research, mathematical programming (90-XX) 16 Mechanics of particles and systems (70-XX) 15 Operator theory (47-XX) 13 Fluid mechanics (76-XX) 8 Calculus of variations and optimal control; optimization (49-XX) 6 Classical thermodynamics, heat transfer (80-XX) 6 Biology and other natural sciences (92-XX) 6 Systems theory; control (93-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Computer science (68-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Integral equations (45-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Field theory and polynomials (12-XX) 2 Optics, electromagnetic theory (78-XX) 2 Quantum theory (81-XX) 2 Information and communication theory, circuits (94-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Algebraic geometry (14-XX) 1 Topological groups, Lie groups (22-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Approximations and expansions (41-XX) 1 Functional analysis (46-XX) 1 Differential geometry (53-XX) 1 Statistics (62-XX) 1 Geophysics (86-XX) Citations by Year