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Zentrales Anliegen des Mathematikus ist die Entwicklung mathematischer Kompetenzen im eigentlichen Sinne. Neben dem notwendigen Beherrschen der Rechenalgorithmen tritt gleichermaen das Verstndnis der Verfahren, die Entwicklung von Zahlensinn und das flexible Anwenden individueller Rechenstrategien in komplexen Situationen. Fundamental ist die Betonung des Sachrechnens als Ausgangspunkt fr modellierendes, problemlsendes und entdeckendes Lernen. Im Vordergrund steht die Entwicklung von kraftvollen, bertragbaren Kernideen, die strukturelles, bergreifendes Denken frdern, ebenso wie die Ausbildung...

This book provides an introduction to the vast subject of initial and initial-boundary value problems for PDEs, with an emphasis on applications to parabolic and hyperbolic systems. The Navier-Stokes equations for compressible and incompressible flows are taken as an example to illustrate the results. Researchers and graduate students in applied mathematics and engineering will find Initial-Boundary Value Problems and the Navier-Stokes Equations invaluable. The subjects addressed in the book, such as the well-posedness of initial-boundary value problems, are of frequent interest when PDEs are...

The articles collected in this volume represent the contributions presented at the IMA workshop on "Dynamics of Algorithms" which took place in November 1997. The workshop was an integral part of the 1997 -98 IMA program on "Emerging Applications of Dynamical Systems." The interaction between algorithms and dynamical systems is mutually beneficial since dynamical methods can be used to study algorithms that are applied repeatedly. Convergence, asymptotic rates are indeed dynamical properties. On the other hand, the study of dynamical systems benefits enormously from having efficient...