adsimp swMATH ID: 14015 Software Authors: Alan Genz Description: ADSIMP: A Matlab function for subregion adaptive multiple integration of a vector of functions over a simplex or a set of simplices. This software uses the integration rules and subdivision methods described in the paper by Alan Genz and Ronald Cools, An Adaptive Numerical Cubature Algorithm for Simplices. DESCRIPTION Computation of integrals over simplical regions. adsimp is a driver for the integration routine SMPSAD, which repeatedly subdivides the region of integration and estimates the integrals and the errors over the subregions with greatest estimated errors until the error request is met or MXFS function evaluations have been used. Homepage: http://www.math.wsu.edu/faculty/genz/software/software.html Dependencies: Matlab Related Software: CUBPACK; Algorithm 720; DCUTRI; CUBTRI; QRM; PENLAB; ROME; YALMIP; CVX; SeDuMi; Scotch; Qhull; GSL; Padua2D; Matlab; DECUHR; CHEBINT; Chebfun; Padua2DM; Octave Cited in: 13 Publications all top 5 Cited by 32 Authors 4 Cools, Ronald 1 Adams, Nikolaus A. 1 Baldoni-Silva, Maria Welleda 1 Berline, Nicole 1 Chen, Zhonggui 1 Dagnino, Catterina 1 de Klerk, Etienne 1 De Loera, Jesús A. 1 Fu, Lin 1 Genz, Alan C. 1 Haegemans, Ann 1 Hu, Xiangyu Y. 1 Il’yin, N. I. 1 Köppe, Matthias 1 Kozak, Jernej 1 Kuhn, Daniel 1 Levy, Bruno 1 Li, Chongjun 1 Liu, Ligang 1 Loginov, Kirill Olegovich 1 Mousavi, S. E. 1 Pandis, Vassilis 1 Pask, John Ernest 1 Polyanskiĭ, Ivan Sergeevich 1 Poppe, Koen 1 Postek, Krzysztof 1 Sukumar, Natarajan 1 Sun, Feng 1 Velikikh, A. S. 1 Vergne, Michèle 1 Vitrih, Vito 1 Wang, Wenping all top 5 Cited in 9 Serials 4 ACM Transactions on Mathematical Software 2 Journal of Computational and Applied Mathematics 1 Journal of Computational Physics 1 Mathematics of Computation 1 International Journal for Numerical Methods in Engineering 1 Applied Numerical Mathematics 1 Mathematical Programming. Series A. Series B 1 SIAM Journal on Scientific Computing 1 Matematicheskoe Modelirovanie all top 5 Cited in 9 Fields 11 Numerical analysis (65-XX) 5 Approximations and expansions (41-XX) 2 Operations research, mathematical programming (90-XX) 1 Partial differential equations (35-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Convex and discrete geometry (52-XX) 1 Computer science (68-XX) 1 Fluid mechanics (76-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year