hapod swMATH ID: 40605 Software Authors: Christian Himpe, Stephan Rave Description: hapod - Hierarchical Approximate Proper Orthogonal Decomposition. The HAPOD is an algorithm to compute the POD (left singular vectors, and singular values of a matrix) hierarchically for (column-wise partitioned) large-scale matrices, allowing to balance accuracy with performance. As a POD-of-PODs method, the HAPOD can be parallelized and further accelerated by user supplied SVD implementations. Homepage: https://git.io/hapod Source Code: https://github.com/gramian/hapod Dependencies: Matlab Related Software: redbKIT; libROM; pyMOR; emgr; StaRMAP; GitHub; LAPACK; Matlab; Octave; Intel TBB; dune-xt; Eigen; DUNE; benchmodred; NGSolve; GaussQR; SINDy; Nek5000; CSparse; Triangle Cited in: 14 Publications Standard Articles 1 Publication describing the Software, including 1 Publication in zbMATH Year Hierarchical approximate proper orthogonal decomposition. Zbl 06948618Himpe, Christian; Leibner, Tobias; Rave, Stephan 2018 all top 5 Cited by 29 Authors 3 Fareed, Hiba 3 Himpe, Christian 3 Singler, John R. 3 Taddei, Tommaso 2 Leibner, Tobias 2 Ohlberger, Mario 2 Patera, Anthony T. 2 Rave, Stephan David 1 Anguill, Pierre 1 Balabanov, Oleg 1 Benner, Peter 1 Cargo, Patricia 1 Enaux, Cedric 1 Fick, Lambert 1 Gavrilenko, Pavel 1 Haasdonk, Bernard 1 Hoch, Philippe 1 Iliev, Oleg P. 1 Labourasse, Emmanuel 1 Lehrenfeld, Christoph 1 Maday, Yvon 1 Nouy, Anthony 1 Samba, Gérald 1 Schindler, Felix 1 Shen, Jiguang 1 Toktaliev, Pavel 1 Wenzel, Tizian 1 Youssef, Maha 1 Zhang, Yangwen all top 5 Cited in 8 Serials 4 Advances in Computational Mathematics 2 Journal of Computational Physics 2 SIAM Journal on Scientific Computing 1 Computers & Mathematics with Applications 1 Journal of Computational and Applied Mathematics 1 Applied Numerical Mathematics 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Algorithms all top 5 Cited in 8 Fields 10 Numerical analysis (65-XX) 4 Fluid mechanics (76-XX) 3 Partial differential equations (35-XX) 3 Systems theory; control (93-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Computer science (68-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year