STDTST swMATH ID: 10819 Software Authors: Enright, W. H.; Pryce, J. D. Description: Two FORTRAN packages for assessing initial value methods. We present a discussion and description of a collection of FORTRAN routines designed to aid in the assessment of initial value methods for ordinary differential equations. Although the overall design characteristics are similar to those of earlier testing packages that were used for the comparison of methods, the details and objectives of the current collection are quite different. Our principal objective is the development of testing tools that can be used to assess the efficiency and reliability of a standard numerical method without requiring significant modifications to the method and without the tools themselves affecting the performance of the method. [For the algorithm NSDTST and STDTST: Routine for assessing the performance of IV solvers. see ibid. 13, 28-34 (1987)]. Homepage: http://dl.acm.org/citation.cfm?id=214338 Keywords: routines for testing; FORTRAN routines; comparison of methods Related Software: NSDTST; RODAS; Mathematica; Matlab; MEBDF; dverk; VNODE; PASCAL-XSC; A-EBDF; DASSL; LSODE; nag; Taylor; ADOL-C; SUNDIALS; DEPAC; DIFSUB; DESI; pchip; ADER-DG Cited in: 83 Documents Standard Articles 1 Publication describing the Software, including 1 Publication in zbMATH Year Two FORTRAN packages for assessing initial value methods. Zbl 0617.65069Enright, W. H.; Pryce, J. D. 1987 all top 5 Cited by 91 Authors 10 Tsitouras, Charalampos 9 Enright, Wayne H. 6 Higham, Desmond J. 6 Montijano, Juan Ignacio 6 Nguyen-Ba, Truong 6 Sharp, Philip W. 5 González-Pinto, Severiano 5 Vaillancourt, Rémi 4 Fine, J. M. 4 Jankowska, Malgorzata A. 4 Marciniak, Andrzej 4 Rández, Luis 3 Cash, Jeff R. 3 Papakostas, S. N. 3 Simos, Theodore E. 2 Calvo, Manuel 2 Carpenter, Mark H. 2 Diamantakis, M. T. 2 Giordano, Thierry 2 Kennedy, Christopher A. 2 Nedialkov, Nedialko S. 2 Papageorgiou, George 2 Pérez Rodríguez, S. 2 Pryce, John D. 2 Spiteri, Raymond J. 2 Tirani, Romeo 1 Abhulimen, C. E. 1 Auer, Ekaterina 1 Auzinger, Winfried 1 Barrio, Roberto 1 Basiri, Abdolali 1 Blesa, Fernando 1 Bogacki, Przemyslaw 1 Bozic, Vladan 1 Butcher, John C. 1 Calvé, M. 1 Canedo, Arquimedes 1 Colquitt, S. D. 1 Considine, S. 1 Corwin, Stephen P. 1 Dahlquist, Germund 1 Desjardins, Steven J. 1 Ernsthausen, John M. 1 Fedorov, Ruslan V. 1 Frank, Reinhard 1 Grazier, Kevin R. 1 Han Veiga, Maria 1 Hao, Han 1 Higham, Nicholas John 1 Hoffmann, Tomasz 1 Hull, Thomas E. 1 Jackson, Kenneth R. 1 Karpukhina, M. T. 1 Kengne, Emmanuel 1 Kobayashi, Mei 1 Komatsu, Hideaki 1 Kornilova, Maria I. 1 Koval’nogov, Vladislav Nikolaevich 1 Kroshko, Andrew 1 Lambrou, N. 1 Lebedev, Vyacheslav Ivanovich 1 Lewis, Robert Michael 1 Li, Xiao 1 Lin, Chialiang 1 Lipoth, Jessica 1 Micalizzi, Lorenzo 1 Mirkarim, Malihe Baigom 1 Neves, Kenneth W. 1 Okunuga, Solomon A. 1 Owren, Brynjulf 1 Paracelli, Carmela 1 Preuss, Adam 1 Qureshi, Mohammad A. 1 Rahmany, Sajjad 1 Rauh, Andreas 1 Rojas-Bello, Rogel 1 Romanò, Tiziana 1 Seward, Wendy L. 1 Skeel, Robert D. 1 Smart, E. 1 Stetter, Hans J. 1 Tan, Guangning 1 Thompson, Skip 1 Torlo, Davide 1 Verner, James H. 1 Williams, Jack 1 Xiang, Er-Ping 1 Yagoub, Hemza 1 Yan, Li 1 Yoshizawa, Takeo 1 Zennaro, Marino all top 5 Cited in 28 Serials 12 Applied Numerical Mathematics 11 Journal of Computational and Applied Mathematics 8 Numerical Algorithms 7 Computers & Mathematics with Applications 7 Applied Mathematics and Computation 6 ACM Transactions on Mathematical Software 6 Computing 4 SIAM Journal on Numerical Analysis 2 SIAM Journal on Scientific and Statistical Computing 2 SIAM Journal on Scientific Computing 1 IMA Journal of Numerical Analysis 1 Mathematical Methods in the Applied Sciences 1 Mathematics of Computation 1 BIT 1 Calcolo 1 International Journal for Numerical Methods in Engineering 1 Numerische Mathematik 1 Applied Mathematics Letters 1 Mathematical and Computer Modelling 1 Applied Mathematical Modelling 1 International Journal of Computer Mathematics 1 Celestial Mechanics and Dynamical Astronomy 1 Soviet Journal of Numerical Analysis and Mathematical Modelling 1 Journal of Mathematical Chemistry 1 Optimization Methods & Software 1 Journal of Modern Methods in Numerical Mathematics 1 Computational Methods for Differential Equations 1 Results in Applied Mathematics all top 5 Cited in 10 Fields 83 Numerical analysis (65-XX) 61 Ordinary differential equations (34-XX) 3 Partial differential equations (35-XX) 2 History and biography (01-XX) 1 Commutative algebra (13-XX) 1 Approximations and expansions (41-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-XX) Citations by Year