The series is devoted to the publication of high-level monographs, surveys and proceedings which cover the whole spectrum of computational and applied mathematics.

The books of this series are addressed to both specialists and advanced students.

Interested authors may submit book proposals to the Managing Editor or to any member of the Editorial Board.

Managing Editor
Otmar Scherzer, RICAM, Linz, Austria; University of Vienna, Austria

Editorial Board
Hansjörg Albrecher, University of Lausanne, Switzerland
Ronald H. W. Hoppe, University of Houston, USA
Karl Kunisch, RICAM, Linz, Austria; University of Graz, Austria
Harald Niederreiter, RICAM, Linz, Austria
Christian Schmeiser, University of Vienna, Austria

The growing demand of speed, accuracy, and reliability in scientific and engineering computing has been accelerating the merging of symbolic and numeric computations. These two types of computation coexist in mathematics yet are separated in traditional research of mathematical computation. This book presents 27 research articles on the integration and interaction of symbolic and numeric computation.

This book presents the state-of-the-art in tackling differential equations using advanced methods and software tools of symbolic computation. It focuses on the symbolic-computational aspects of three kinds of fundamental problems in differential equations: transforming the equations, solving the equations, and studying the structure and properties of their solutions.