Abstract
Integrated computing systems—such as Maple, Mathematica, and MATLAB—enable the development of “live” electronic documents that include explanatory text, calculations, custom programming (code development), visualization, and other features. As a result, teachers and students, researchers and practitioners can develop applications in a completely interactive format. Such e-documents can be put to good use in developing textbooks, lecture notes, assignments and presentations, as well as in the context of research and development (R&D) projects. The interactive approach accelerates and enhances the process of learning and research. To illustrate this approach, we discuss a nonlinear (global and local) optimization software product and a topical electronic book that support interactive model development and optimization in Maple. We highlight the key features of the e-book and the software, present illustrative examples, and point towards a range of scientific and engineering applications.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Aris R (1999) Mathematical modeling: a chemical engineer’s perspective. Academic Press, San Diego
Bracken J, McCormick GP (1968) Selected applications of nonlinear programming. Wiley, New York
Castillo I (2005) Maple 10 and the global optimization toolbox (software review). ORMS Today 32(6):56–60. Available online at http://www.lionhrtpub.com/orms/orms-12-05/swr.html
Castillo I, Lee T, Pintér JD (2008) Integrated software tools for the ORMS Classroom. Algorithm Oper Res (in press)
Deschaine LM (2006) Global optimization toolbox for Maple and global optimization with Maple (book and software review). Int J Model Identif Control 1(4): 338–339
Diwekar U (2003) Introduction to applied optimization. Kluwer, Boston
Forst W (2008) Global optimization with Maple (book review). Algorithm Oper Res (in press)
Gershenfeld N (1999) The nature of mathematical modeling. Cambridge University Press, Cambridge
Goossens P, McPhee J, Schmitke C, Pintér JD, Stahl H (2007) Driving innovation: how mathematical modeling and optimization increase efficiency and productivity in vehicle design. Technical memorandum published by Maplesoft, Waterloo
Grossmann IE (ed) (1996) Global optimization in engineering design. Kluwer, Dordrecht
Hansen PE, Jørgensen SE (eds) (1991) Introduction to environmental management. Elsevier, Amsterdam
Henrion D (2006) A review of the Global Optimization Toolbox for Maple. IEEE Control Syst Mag 26(October issue): 106–110
Landau RH (2005) A first course in scientific computing. Princeton University Press, Princeton
Lopez RJ (2005) Advanced engineering mathematics with Maple, electronic book edition. Waterloo Maple Inc., Waterloo
Maplesoft (2007a) Maple (Version 11). Maplesoft, Waterloo. http://www.maplesoft.com
Maplesoft (2007b) Global optimization toolbox for Maple (Version 11). Maplesoft, Waterloo. http://www.maplesoft.com/products/toolboxes/globaloptimization/
Mastinu G, Gobbi M, Miano C (2006) Optimal design of complex mechanical systems with applications to vehicle engineering. Springer, Berlin
Murray JD (1983) Mathematical biology. Springer, Berlin
Papalambros PM, Wilde DJ (2000) Principles of optimal design—modeling and computation, 2nd edn. Cambridge University Press, Cambridge
Pardalos PM, Resende MGC (eds) (2002) Handbook of applied optimization. Oxford University Press, Oxford
Pintér JD (1996) Global optimization in action. Kluwer, Dordrecht
Pintér JD (2001) Computational global optimization in nonlinear systems: an interactive tutorial (includes LGO demo software). Lionheart Publishing, Marietta. See http://www.lionhrtpub.com/books/globaloptimization.html
Pintér JD (2002) Global optimization: software, test problems, and applications. In: Pardalos PM, Romeijn HE(eds) Handbook of global optimization, vol 2, chap 15. Kluwer, Dordrecht, pp 515–569
Pintér JD (2005) Nonlinear optimization in modeling environments: software implementations for compilers, spreadsheets, modeling languages, and integrated computing systems. In: Jeyakumar V, Rubinov AM(eds) Continuous optimization: current trends and applications, chap 5. Springer Science + Business Media, New York, pp 147–173
Pintér, JD (ed) (2006a) Global optimization: scientific and engineering case studies. Springer Science + Business Media, New York
Pintér JD (2006b) Global optimization with Maple—an introduction with illustrative examples. An electronic book distributed by Maplesoft and Pintér Consulting Services. See http://www.maplesoft.com/products/thirdparty/GOT/index.aspx
Pintér JD (2007) LGO—a model development and solver system for continuous global optimization. User Guide (current edition). Pintér Consulting Services, Inc., Halifax. For related information, see http://www.pinterconsulting.com
Pintér JD, Linder D, Chin P (2006) Global optimization toolbox for Maple: an introduction with illustrative applications. Optim Methods Softw 21(4): 565–582
Schittkowski K (2002) Numerical data fitting in dynamical systems. Kluwer, Dordrecht
Steeb W-H (2005) The nonlinear workbook, 3rd edn. World Scientific Publishing, Singapore
The MathWorks (2007) MATLAB (Version: R2007b). The MathWorks, Inc., Natick. http://www.mathworks.com
Trott M (2004, 2005) The Mathematica GuideBooks, vol 1–4. Springer Science + Business Media, New York
Wass JA (2006) Global optimization with Maple—an add-on toolkit for the experienced scientist (software review). Scientific Computing, p.16 and fwd
Wolfram Research (2007) Mathematica (Version: 6.0). Wolfram Research, Inc., Champaign. http://www.wolfram.com
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Pintér, J.D. Model development and optimization in interactive computing environments. cent.eur.j.oper.res. 16, 165–178 (2008). https://doi.org/10.1007/s10100-007-0045-8
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10100-007-0045-8