Title	Trends in Nonlinear Analysis [electronic resource] / edited by Markus Kirkilionis, Susanne Krรถmker, Rolf Rannacher, Friedrich Tomi
Imprint	Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2003
Connect to	http://dx.doi.org/10.1007/978-3-662-05281-5
Descript	XV, 419 p. online resource

Applied mathematics is a central connecting link between scientific observations and their theoretical interpretation. Nonlinear analysis has surely contributed major developments which nowadays shape the face of applied mathematics. At the beginning of the millennium, all sciences are expanding at increased speed. Technological, ecological, economical and medical problem solving is a central issue of every modern society. Mathematical models help to expose fundamental structures hidden in these problems and serve as unifying tools to deepen our understanding. What are the new challenges applied mathematics has to face with the increased diversity of scientific problems? In which direction should the classical tools of nonlinear analysis be developed further? How do new available technologies influence the development of the field? How can problems be solved which have been beyond reach in former times? It is the aim of this book to explore new developments in the field by way of discussion of selected topics from nonlinear analysis

1 Interview with Willi Jรคger -- 2 Spatio-Temporal Dynamics of Reaction-Diffusion Patterns -- 3 Some Nonclassical Trends in Parabolic and Parabolic-like Evolutions -- 4 Mathematical Aspects of Design of Beam Shaping Surfaces in Geometrical Optics -- 5 Recent Developments in Multiscale Problems Coming from Fluid Mechanics -- 6 From Molecular Dynamics to Conformation Dynamics in Drug Design -- 7 A Posteriori Error Estimates and Adaptive Methods for Hyperbolic and Convection Dominated Parabolic Conservation Laws -- 8 On Anisotropic Geometric Diffusion in 3D Image Processing and Image Sequence Analysis -- 9 Population Dynamics: A Mathematical Birdโs Eye View -- 10 Did Something Change? Thresholds in Population Models -- 11 Multiscale Modeling of Materials โ the Role of Analysis -- Appendix. Color Plates

1. Mathematics
2. Life sciences
3. Mathematical analysis
4. Analysis (Mathematics)
5. Computer mathematics
6. Mathematical models
7. Physics
8. Mathematics
9. Analysis
10. Mathematical Modeling and Industrial Mathematics
11. Computational Science and Engineering
12. Mathematical Methods in Physics
13. Life Sciences
14. general
15. Environmental Monitoring/Analysis