Multiple Shooting and Time Domain Decomposition Methods

This book offers a comprehensive collection of the most advanced numerical techniques for the efficient and effective solution of simulation and optimization problems governed by systems of time-dependent differential equations. The contributions present various approaches to time domain decomposition, focusing on multiple shooting and parareal algorithms.

T. Akman et al: Space-Time Discontinuous Galerkin Methods for Optimal Control Problems Governed by Time Dependent Diffusion-Convection-Reaction Equations.- Th. Carraro et al: Direct and Indirect Multiple Shooting for Parabolic Optimal Control Problems.- M.J. Gander: 50 Years of Time Parallel Time Integration.- S. Grötschel et al: Reducing Memory Requirements in Scientific Computing and Optimal Control.- Y. Hasegawa: Optimal Control of Heat and Fluid Flow for Efficient Energy Utilization.- D. Janka et al: Direct Multiple Shooting for Optimum Experimental Design.- D. Kaschek et al: A Unified Approach to Integration and Optimization of Parametric Ordinary Differential Equations.- R. Kircheis et al: Parameter Estimation for PDAE Constrained Models Using a Reduced Approach.- M. Klinger: A Variational Approach for Physically Based Image Interpolation Across Boundaries.- C. Kreutz et al: Statistics for Model Calibration.- A. Potschka: Direct Multiple Shooting for Parabolic PDE Constrained Optimization.- R. Quirynen et al: Multiple Shooting in a Microsecond.- Th. Richter et al: Time Discretizations of Fluid-Structure Interactions.- St. Ulbrich: Preconditioners Based on 'Parareal' Time-Domain Decomposition for Time-Dependent PDE-Constrained Optimization.- E. Kostina et al: Direct Multiple Shooting for Optimization Problems in ODE Models.- M. Schlick: Parareal Time-Stepping for Limit-Cycle Computation of the Incompressible Navier-Stokes Equations with Uncertain Periodic Dynamics.