Test Set IVP swMATH ID: 20654 Software Authors: F. Mazzia, F. Iavernaro Description: Test set for initial value problem solvers. Both engineers and computational scientists alike will benefit greatly from having a standard test set for Initial Value Problems (IVPs) which includes documentation of the test problems, experimental results from a number of proven solvers, and Fortran subroutines providing a common interface to the defining problem functions. Engineers will be able to see at a glance which methods will be most effective for their class of problems. Researchers will be able to compare their new methods with the results of existing ones without incurring additional programming workload; they will have a reference with which their colleagues are familiar. This test set tries to fulfill these demands and tries to set a standard for IVP solver testing. We hope that the following features of this set will enable the achievement of this goal: uniform presentation of the problems, ample description of the origin of the problems, robust interfaces between problem and drivers, portability among different platforms, contributions by people from several application fields, presence of real-life problems, being used, tested and debugged by a large, international group of researchers, comparisons of the performance of well-known solvers, interpretation of the numerical solution in terms of the application field, ease of access and use. Homepage: http://pitagora.dm.uniba.it/~testset/ Related Software: RODAS; Matlab; DAETS; Daesa; MATLAB ODE suite; ode23s; ode113; Ode15s; ode45; ode23; ATOMFT; bvp4c; Symbolic Math Toolbox; RADAU; MEBDF; DIMSIM; DIFSUB; SUNDIALS; Dymola; gPROMS Cited in: 16 Documents all top 5 Cited by 24 Authors 5 Nedialkov, Nedialko S. 5 Pryce, John D. 4 Tan, Guangning 3 Ramos, Higinio 2 Hao, Han 2 Nguyen-Ba, Truong 2 Vaillancourt, Rémi 2 Vigo-Aguiar, Jesus 2 Yagoub, Hemza 1 Abdi, Ali 1 Arponen, Teijo 1 Auer, Ekaterina 1 Fazio, Riccardo 1 Garg, Arvind 1 Hojjati, Gholamreza 1 Kanwar, Vinay 1 Luo, Xinlong 1 Majidi, Tahereh 1 Piipponen, Samuli 1 Ponalagusamy, R. 1 Ponnammal, K. 1 Rauh, Andreas 1 Singh, Gurjinder 1 Tuomela, Jukka all top 5 Cited in 11 Serials 3 Applied Mathematics and Computation 2 ACM Transactions on Mathematical Software 2 BIT 1 Computing 1 Journal of Computational and Applied Mathematics 1 Acta Applicandae Mathematicae 1 Numerical Algorithms 1 Journal of Mathematical Chemistry 1 Multibody System Dynamics 1 Journal of Applied Mathematics and Computing 1 International Journal of Applied and Computational Mathematics Cited in 5 Fields 15 Numerical analysis (65-XX) 9 Ordinary differential equations (34-XX) 3 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Biology and other natural sciences (92-XX) Citations by Year