From Nano to Space: Applied Mathematics Inspired by Roland Bulirsch

Michael H. Breitner, Georg Denk, Peter Rentrop (eds.)978-3-540-74237-1

Graduate students and postgraduates in Mathematics, Engineering and the Natural Sciences want to understand Applied Mathematics for the solution of everyday problems. Scholars of Roland Bulirsch working at universities, at research institutions and in industry combine research and review papers in this anthology. Their work is summed up under the title “From Nano to Space – Applied Mathematics Inspired by Roland Bulirsch”. More than 20 contributions are divided into scales: nano, micro, macro, space and real life. The contributions survey current research and present case studies very interesting and informative for both graduate students and postgraduates. The contributions show how modern Applied Mathematics influences our everyday lives. Several contributions include complex graphics and illustrations, many of them in color.

Table of contents :
Front Matter….Pages I-IX
Roland Bulirsch – 75th Birthday….Pages 1-2
Academic Genealogy of Roland Bulirsch….Pages 3-8
Front Matter….Pages 9-9
Circuit Simulation for Nanoelectronics….Pages 11-26
Transformation Qualities of Warped Multirate Partial Differential Algebraic Equations….Pages 27-42
An Improved Method to Detect Riblets on Surfaces in Nanometer Scaling Using SEM….Pages 43-54
Front Matter….Pages 55-55
Numerical Simulation of a Molten Carbonate Fuel Cell by Partial Differential Algebraic Equations….Pages 57-70
Rigid Registration of Medical Images by Maximization of Mutual Information….Pages 71-90
Early Delay with Hopf Bifurcation….Pages 91-98
A Singular Value Based Probability Algorithm for Protein Cleavage….Pages 99-110
Calculation of Magnetic Fields with Finite Elements….Pages 111-124
Front Matter….Pages 125-125
Smooth Approximation and Rendering of Large Scattered Data Sets….Pages 127-143
Fast Projected Convolution of Piecewise Linear Functions on Non-equidistant Grids….Pages 145-160
Intrusive versus Non-Intrusive Methods for Stochastic Finite Elements….Pages 161-174
Walking, Running and Kicking of Humanoid Robots and Humans….Pages 175-192
Numerical Simulation of Shape Memory Actuators in Mechatronics….Pages 193-208
Front Matter….Pages 209-209
Customer Tailored Derivatives: Simulation, Design and Optimization with the WARRANT-PRO-2 Software….Pages 211-228
Complete the Correlation Matrix….Pages 229-244
Accelerating the Distributed Multiplication Protocol with Applications to the Distributed Miller-Rabin Primality Test….Pages 245-257
Front Matter….Pages 259-259
Optimal Control of Free-Floating Spin-Stabilized Space Robotic Systems….Pages 261-276
Computing the Earth Gravity Field with Spherical Harmonics….Pages 277-294
Front Matter….Pages 259-259
Integrated Guidance and Control for Entry Vehicles….Pages 295-308
A Note on Nonsmooth Optimal Control Problems….Pages 309-321
Back Matter….Pages 323-342