Popov, I.: Bifurcation curves for synchronous electrical machine (2016) Stitzinger, Ernest L.: Applied abstract algebra with Maple and MATLAB (2016) Pryce, John D.: Conversion methods for improving structural analysis of differential-algebraic equation systems (2017)
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Esfandiari, Ramin S.: Numerical methods for engineers and scientists using MATLAB (2017).Srajer, Filip Kukelova, Zuzana Fitzgibbon, Andrew: A benchmark of selected algorithmic differentiation tools on some problems in computer vision and machine learning (2018).A problem solving approach based on MATLAB (2018) Klein, Thierry Fournier, Edouard Grihon, Stéphane: A case study: influence of dimension reduction on regression trees-based algorithms - predicting aeronautics loads of a derivative aircraft (2018).Efficient teaching and learning with MATLAB (2018) Helfrich-Schkarbanenko, Andreas Rapedius, Kevin Rutka, Vita Sommer, Aron: Automatically generated mathematical problems and solutions.Fasi, Massimiliano Higham, Nicholas J.: Multiprecision algorithms for computing the matrix logarithm (2018).Deng, Daiguo Wu, Hefeng Sun, Peng Wang, Ruomei Shi, Zhuo Luo, Xiaonan: A new geometric modeling approach for woven fabric based on Frenet frame and spiral equation (2018).Milan Batista: Elfun18 - A collection of MATLAB functions for the computation of elliptic integrals and Jacobian elliptic functions of real arguments (2019) not zbMATH.Felix Petzke, Ali Mesbah, Stefan Streif: PoCET: a Polynomial Chaos Expansion Toolbox for Matlab (2020) arXiv.pdf).I've personally found the "help" mechanism in Sage quite valuable. See also Sage Documentation, where you can find tutorials, manuals, references, etc. More details available here Wikipedia on Sage. Graphics: Matplotlib, Tachyon3d, GD, Jmol Graphical Interface: Sage Notebook, jsmath Numerical computation: GSL, SciPy, NumPy, ATLAS Linear Algebra: ATLAS, BLAS, LAPACK, NumPy, LinBox, IML, GSL (You can also peruse sample "Worksheets" from "notebooks").Īnother "plus" about Sage Notebook is that you can create folders, save your work, etc, on-line, and can then thus access it (when on-line again) and pick up where you left off at another time.Īrbitrary Precision Arithmetic: MPIR, MPFR, MPFI, NTL, mpmathĪrithmetic Geometry: PARI/GP, NTL, mwrank, ecm You can create your own account if you scroll down to the bottom of the webpage linked immediately above.
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I'm not sure about its graphing capabilities though it does seem to come equipped with some graphing functionality. (see more programs listed below), and you can program, as well (Python?). I can't speak for hicalc (I've not heard of it!) but IMO, a good choice would be Sage Notebook: it integrates a whole bunch programs: GAP, R (statistics), Pari, etc. That may help you ultimately determine what works best for YOU!
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Various systems are listed in tables, each identifying cost, features, etc.
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Added: I found the Wikipedia article Comparison of Computer Algebra Systems from a link on Sage's site.