This book contains papers submitted by the participants of the workshop on Computer Algebra in Scientific Computing CASC '99, as well as two invited papers. The collection of papers included in the proceedings covers various topics of computer algebra methods, algorithms and software applied to scientific computing. Moreover, applications of computer algebra methods for the solution of current problems in group theory are treated, which mostly arise in mathematical physics. Another important trend which may be seen from the present collection of papers is the application of computer algebra methods to the development of new efficient analytic and numerical solvers, both for ordinary and partial differential equations. Some papers deal with algorithmic and software aspects associated with the implementation of computer algebra methods, or study the stability of satellite and mechanical systems, or the application of computer algebra to the solution of problems in technology.