Special Issue "Computer Algebra in Scientific Computing"
A special issue of Mathematics (ISSN 2227-7390).
Deadline for manuscript submissions: closed (31 January 2019)
Although scientific computing is very often associated with numeric computations, the use of computer algebra methods in scientific computing has obtained considerable attention in the last two decades. Computer algebra methods are especially suitable for parametric analysis of the key properties of systems arising in scientific computing. The in general expression-based computational answers provided by these methods are very appealing, as they directly relate properties to parameters and speed up testing and tuning of mathematical models through all their possible behaviours. Thus, it is no surprise that a conference series with the name, Computer Algebra in Scientific Computing, is now going into its 20th year. Moreover, the development of computer algebra methods for scientific computing is also widely covered in conferences like the International Symposium on Symbolic and Algebraic Computation (ISSAC) or Applications of Computer Algebra (ACA). The topics addressed in this Special Issue are in the spirit of these conference series and cover all the basic areas of scientific computing as they benefit from the application of computer algebra methods, especially in the following topics:
- algebraic and semi-algebraic computations;
- symbolic-numeric methods for differential, differential-algebraic and difference equations;
- homotopy, perturbation and series methods;
- tropical and polyhedral methods;
- complexity of algebraic algorithms;
- automated reasoning in algebra and geometry;
- applications of computer algebra in the natural sciences and engineering.
Prof. Dr. Andreas Weber
Manuscript Submission Information
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- Algebraic computations
- Semi-algebraic computations
- Methods using differential algebra
- Homotopy computations
- Tropical and polyhedral methods
- Complexity of algebraic algorithms