Alexander N Gorban

Coping with Complexity: Model Reduction and Data Analysis - Lecture Notes in Computational Science and Engineering Alexander N Gorban 2011 edition

Marc Notes: Includes bibliographical references and indexes. Table of Contents: Averaging of Fast-Slow Systems / Marshall Slemrod -- The Use of Global Sensitivity Methods for the Analysis, Evaluation and Improvement of Complex Modelling Systems / Alison S. Tomlin, Tilo Ziehn -- Optimisation and Linear Control of Large Scale Nonlinear Systems: A Review and a Suite of Model Reduction-Based Techniques / Constantinos Theodoropoulos -- Universal Algorithms, Mathematics of Semirings and Parallel Computations / Grigory L. Litvinov, Victor P. Maslov, Anatoly Ya. Rodionov, Andrei N. Sobolevski -- Scaling Invariant Interpolation for Singularly Perturbed Vector Fields (SPVF) / Viatcheslav Bykov, Vladimir Gol'dshtein, Ulrich Maas -- Think Globally, Move Locally: Coarse Graining of Effective Free Energy Surfaces / Payel Das, Thomas A. Frewen, Ioannis G. Kevrekidis, Cecilia Clementi -- Extracting Functional Dependence from Sparse Data Using Dimensionality Reduction: Application to Potential Energy Surface Construction / Sergei Manzhos, Koichi Yamashita, Tucker Carrington -- A Multilevel Algorithm to Compute Steady States of Lattice Boltzmann Models / Giovanni Samaey, Christophe Vandekerckhove, Wim Vanroose -- Time Step Expansions and the Invariant Manifold Approach to Lattice Boltzmann Models / David J. Packwood, Jeremy Levesley, Alexander N. Gorban -- The Shock Wave Problem Revisited: The Navier-Stokes Equations and Brenner's Two Velocity Hydrodynamics / Francisco J. Uribe -- Adaptive Simplification of Complex Systems: A Review of the Relaxation-Redistribution Approach / Eliodoro Chiavazzo, Ilya Karlin -- Geometric Criteria for Model Reduction in Chemical Kinetics via Optimization of Trajectories / Dirk Lebiedz, Volkmar Reinhardt, Jochen Siehr, Jonas Unger -- Computing Realizations of Reaction Kinetic Networks with Given Properties / GAbor SzederkEnyi, Katalin M. Hangos, DAvid Csercsik -- A Drift-Filtered Approach to Diffusion Estimation for Multiscale Processes / Yves Frederix, Dirk Roose -- Model Reduction of a Higher-Order KdV Equation for Shallow Water Waves / Tassos Bountis, Ko van der Weele, Giorgos Kanellopoulos, Kostis Andriopoulos -- Coarse Collective Dynamics of Animal Groups / Thomas A. Frewen, Iain D. Couzin, Allison Kolpas, Jeff Moehlis, Ronald Coifman, Ioannis G. Kevrekidis -- Self-Simplification in Darwin's Systems / Alexander N. Gorban -- Author Index -- Subject Index.