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Partial differential equations (PDEs) play an important role in the natural sciences and technology, because they describe the way systems (natural and other) behave. The inherent suitability of PDEs to characterizing the nature, motion, and evolution of systems, has led to their wide-ranging use in numerical models that are developed in order to analyze systems that are not otherwise easily studied. Numerical Solutions for Partial Differential Equations contains all the details necessary for the reader to understand the principles and applications of advanced numerical methods for solving...

Advances in computer technology have conveniently coincided with trends in numerical analysis toward increased complexity of computational algorithms based on finite difference methods. It is no longer feasible to perform stability investigation of these methods manually--and no longer necessary. As this book shows, modern computer algebra tools can be combined with methods from numerical analysis to generate programs that will do the job automatically.

Comprehensive, timely, and accessible--this is the definitive reference on the application of computerized symbolic...

After a pause taken in 2008 (owed to the political situation in the Caucasus region where CASC 2008 was supposed to take place), CASC 2009 continued the series of international workshops on the latest advances and trends both in the methods of computer algebra and in applications of computer algebra systems (CASs) to the solution of various problems in scienti?c computing. The ten earlier CASC conferences, CASC 1998, CASC 1999, CASC 2000, CASC2001, CASC2002, CASC2003, CASC2004, CASC2005, CASC2006, and CASC 2007 were held, respectively, in St. Petersburg (Russia), in Munich (G- many),...