An Online Computing and Knowledge Platform for Differential Equations

A Web-based knowledge database and computing platform for nonlinear differential equations is presented, which could provide computing and graphing based on symbolic computing system Maple and some of its built-in packages. Users can not only calculate specific types of analytical solutions of nonlinear differential systems by calling the packages, but also carry out any symbolic computations associated with equations and other kinds of simple computations in an interactive mode with visual output. The knowledge database of differential equations has all functions of the general database. Furthermore, each equation has a web page to show its properties and research results. In addition, each mathematica formula is stored in its infix form in the knowledge database and can be displayed visually.

[1]  Christian Mittermaier,et al.  Distributed Maple: parallel computer algebra in networked environments , 2003, J. Symb. Comput..

[2]  Jack Dongarra,et al.  NetSolve: Past, Present, and Future - A Look at a Grid Enabled Server , 2003 .

[3]  Simon J. Cox,et al.  A grid-enabled problem solving environment (PSE) for design optimisation within Matlab , 2003, Proceedings International Parallel and Distributed Processing Symposium.

[4]  Saleh Alshomrani,et al.  DMAS: a web-based distributed mathematics assessment system (abstract only) , 2008, ACCA.

[5]  Brian E. Granger,et al.  IPython: A System for Interactive Scientific Computing , 2007, Computing in Science & Engineering.

[6]  Matthew B Hoy.  Wolfphram|Alpha: A Brief Introduction , 2010, Medical reference services quarterly.

[7]  Dongdai Lin,et al.  IAMC architecture and prototyping: a progress report , 2001, ISSAC '01.

[8]  Jörg H. Siekmann,et al.  Computer supported mathematics with Omegamega , 2006, J. Appl. Log..

[9]  Michael Kohlhase,et al.  System Description: The MathWeb Software Bus for Distributed Mathematical Reasoning , 2002, CADE.

[10]  Michael McGettrick.  Online Gröbner Basis [OGB] , 2004, SIGS.

[11]  Eero Vainikko,et al.  SciCloud: Scientific Computing on the Cloud , 2010, 2010 10th IEEE/ACM International Conference on Cluster, Cloud and Grid Computing.

[12]  M. Prange,et al.  Scientific Computing in the Cloud , 2008, Computing in Science & Engineering.

[13]  Gabriel López-Morteo,et al.  Computer support for learning mathematics: A learning environment based on recreational learning objects , 2007, Comput. Educ..

[14]  Satoshi Matsuoka,et al.  Ninf-G: A Reference Implementation of RPC-based Programming Middleware for Grid Computing , 2003, Journal of Grid Computing.

[15]  Dana Petcu,et al.  Extending Maple to the grid: design and implementation , 2004, Third International Symposium on Parallel and Distributed Computing/Third International Workshop on Algorithms, Models and Tools for Parallel Computing on Heterogeneous Networks.

[16]  David A. Padua,et al.  MATmarks: a shared memory environment for MATLAB programming , 1999, Proceedings. The Eighth International Symposium on High Performance Distributed Computing (Cat. No.99TH8469).

[17]  Zhi-Bin Li,et al.  RAEEM: A Maple package for finding a series of exact traveling wave solutions for nonlinear evolution equations , 2004, Comput. Phys. Commun..