From Nano to Space (eBook)

Preface 5
Contents 6
Academic Genealogy of Roland Bulirsch 11
Part I Mathematics and Applications in Nanoscale 17
Circuit Simulation for Nanoelectronics 18
Transformation Qualities of Warped Multirate Partial Differential Algebraic Equations 34
An Improved Method to Detect Riblets on Surfaces in Nanometer Scaling Using SEM 50
Part II Mathematics and Applications in Microscale 62
Numerical Simulation of a Molten Carbonate Fuel Cell by Partial Differential Algebraic Equations 63
Rigid Registration of Medical Images by 77
Rigid Registration of Medical Images by Maximization of Mutual Information 77
Early Delay with Hopf Bifurcation 97
A Singular Value Based Probability Algorithmf or Protein Cleavage 105
Calculation of Magnetic Fields with Finite Elements 117
Part III Mathematics and Applications in Macroscale 131
Smooth Approximation and Rendering of Large Scattered Data Sets 132
Fast Projected Convolution of Piecewise Linear Functions on Non-equidistant Grids 149
Intrusive versus Non-Intrusive Methods for Stochastic Finite Elements 165
Walking, Running and Kicking of Humanoid Robots and Humans 179
Numerical Simulation of Shape Memory Actuators in Mechatronics 197
Part IV Mathematics and Applications in Real World 213
Customer Tailored Derivatives: Simulation, Design and Optimization with the WARRANT-PRO-2 Software* 214
Complete the Correlation Matrix 232
Accelerating the Distributed Multiplication Protocol with Applications to the Distributed Miller-Rabin Primality Test 248
Part V Mathematics and Applications in Space 261
Optimal Control of Free-Floating Spin-Stabilized Space Robotic Systems 262
Computing the Earth Gravity Field with Spherical Harmonics 278
Integrated Guidance and Control for Entry Vehicles 296
A Note on Nonsmooth Optimal Control Problems 310
Color Figures 323