bvpsuite swMATH ID: 8540 Software Authors: Kitzhofer, G.; Koch, O.; Pulverer, G.; Simon, Ch.; Weinmüller, E. B. Description: The New MATLAB Code bvpsuite for the Solution of Singular Implicit BVPs. Our aim is to provide the open domain MATLAB code bvpsuite for the efficient numerical solution of boundary value problems in ordinary differential equations. Motivated by applications, we are especially interested in designing a code whose scope is appropriately wide, including fully implicit problems of mixed orders, parameter dependent problems, problems with unknown parameters, problems posed on semi-infinite intervals, eigenvalue problems and differential algebraic equations of index 1. Our main focus is on singular boundary value problems in which singularities in the differential operator arise. We first briefly recapitulate the analytical properties of singular systems and the convergence behavior of polynomial collocation used as a basic solver in the code for both singular and regular ordinary differential equations and differential algebraic equations. We also discuss the a posteriori error estimate and the grid adaptation strategy implemented in our code. Finally, we describe the code structure and present the performance of the code which has been equipped with a graphical user interface for an easy use Homepage: http://www.asc.tuwien.ac.at/~ewa/software_development3.htm#BVPSUITE Dependencies: Matlab Related Software: Matlab; bvp4c; COLNEW; avalanche.f; COLSYS; Sbvp; MIRKDC; PMIRKDC; BvpSolve; SLEIGN2; SLEDGE; MATSLISE; AUTO; HOFiD_bvp; HOFiD_UP; diffEq; pde2path; acdc; twpbvpl; twpbvp Cited in: 30 Documents Standard Articles 2 Publications describing the Software, including 2 Publications in zbMATH Year A numerical continuation method for parameter-dependent boundary value problems using bvpsuite 2.0. Zbl 1499.65001Anzinger, Winfried; Burdeos, Katrina N.; Fallahpour, Merlin; Koch, Othmar; Mendoza, Renier G.; Weinmüller, Ewa B. 2022 Numerical treatment of singular BVPs: the new Matlab code bvpsuite. Zbl 1182.65122Kitzhofer, G.; Koch, O.; Weinmüller, E. 2009 all top 5 Cited by 54 Authors 19 Weinmüller, Ewa B. 8 Koch, Othmar 7 Rachůnková, Irena 6 Staněk, Svatoslav 3 Burkotová, Jana 3 Horst, Ulrich 3 Kitzhofer, Georg 3 Lima, Pedro Miguel 3 Morgado, Luisa 2 Auzinger, Winfried 2 Feichtinger, Anna 2 Pulverer, Gernot 2 Simon, Christa 2 Spielauer, Alexander 1 Aceto, Lidia 1 Anzinger, Winfried 1 Auer, Felix Karl 1 Bagherzadeh, Amir Saboor 1 Bouheroum-Mentri, Sabria 1 Budd, Christopher John 1 Burdeos, Katrina N. 1 Cash, Jeff R. 1 Croon, Djuna Lize 1 Dick, Alexander 1 Fallahpour, Merlin 1 Fan, Jiji 1 Friedl, Anton 1 Fu, Guanxing 1 Gerdts, Matthias 1 Graewe, Paulwin 1 Gschwindl, Jürgen 1 Hammerling, Robert 1 Harasek, Michael 1 Hastermann, Gottfried 1 Hohenegger, Matthias 1 Kulikov, Gennady Yur’evich 1 Li, Lin 1 Lin, Ping 1 Makaruk, Aleksander 1 März, Roswitha 1 Mazzia, Francesca 1 Mebirouk, AbdelMouemin 1 Mendoza, Renier G. 1 Moore, Gerald 1 Putkaradze, Vakhtang 1 Rogers, Stuart M. 1 Schöbinger, Markus 1 Settanni, Giuseppina 1 Si, Xinhui 1 Sun, Chen 1 Taghizadeh, Leila 1 Wolde, Mered 1 Xia, Xiaonyu 1 Zheng, Liancun all top 5 Cited in 17 Serials 3 Applied Numerical Mathematics 3 Boundary Value Problems 3 JNAIAM. Journal of Numerical Analysis, Industrial and Applied Mathematics 2 Computers & Mathematics with Applications 2 Applied Mathematics and Computation 2 BIT 2 Journal of Computational and Applied Mathematics 2 SIAM Journal on Control and Optimization 1 Computer Physics Communications 1 Mathematics of Computation 1 Calcolo 1 Journal of Nonlinear Science 1 Georgian Mathematical Journal 1 Finance and Stochastics 1 International Journal of Nonlinear Sciences and Numerical Simulation 1 Journal of Cosmology and Astroparticle Physics 1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche all top 5 Cited in 13 Fields 21 Numerical analysis (65-XX) 17 Ordinary differential equations (34-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Systems theory; control (93-XX) 2 Operator theory (47-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Probability theory and stochastic processes (60-XX) 2 Fluid mechanics (76-XX) 1 Partial differential equations (35-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Relativity and gravitational theory (83-XX) Citations by Year