Optimal Structural Design
by Nikolay V. Banichuk and Svetlana Yu. Ivanova
This monograph studies optimization problems for rigid punches in elastic media and for high-speed penetration of rigid strikers into deformed elastoplastic, concrete, and composite media using variational calculations, tools from functional analysis, and stochastic and min-max (guaranteed) optimization approaches with incomplete data. The book presents analytical and numerical results developed by the authors during the last ten years.
Metaheuristics (Operations Research/Computer Science Interfaces, #50)
This volume is centered on exemplifying how metaheuristics have acquired a prominent role in supporting the decision making process of practitioners dealing with complex real-world problems arising in different fields and realms of application. The conference was centered on presenting original and innovative approaches dealing with metaheuristic algorithms from two broad perspectives: * Application oriented perspective: A large number of contributions can be labelled "application oriented," sin...
Foundations of Applied Mathematics, Volume 2
by Jeffrey Humpherys and Tyler J Jarvis
In this second book of what will be a four-volume series, the authors present, in a mathematically rigorous way, the essential foundations of both the theory and practice of algorithms, approximation, and optimization-essential topics in modern applied and computational mathematics. This material is the introductory framework upon which algorithm analysis, optimization, probability, statistics, machine learning, and control theory are built. This text gives a unified treatment of several topic...
Providing an alternative to engineering-focused resources in the area, Programming Mathematics Using MATLABĀ® introduces the basics of programming and of using MATLABĀ® by highlighting many mathematical examples. Emphasizing mathematical concepts through the visualization of programming throughout the book, this useful resource utilizes examples that may be familiar to math students (such as numerical integration) and others that may be new (such as fractals). Additionally, the text uniquely offer...
This review volume reports the state-of-the-art in Linear Parameter Varying (LPV) system identification. Written by world renowned researchers, the book contains twelve chapters, focusing on the most recent LPV identification methods for both discrete-time and continuous-time models, using different approaches such as optimization methods for input/output LPV models Identification, set membership methods, optimization methods and subspace methods for state-space LPV models identification and ort...
Nonlinear Algebra In An Acorn: With Applications To Deep Learning
by Martin J Lee and Ken Kang Too Tsang
A simple algorithm for solving a set of nonlinear equations by matrix algebra has been discovered recently - first by transforming them into an equivalent matrix equation and then finding the solution analytically in terms of the inverse matrix of this equation. With this newly developed ACORN (Adaptive Constrained Optimal Robust Nonlinear) algorithm, it is possible to minimize the objective function [constructed from the functions in the nonlinear set of equations] without computing its derivat...
Fractional evolution inclusions are an important form of differential inclusions within nonlinear mathematical analysis. They are generalizations of the much more widely developed fractional evolution equations (such as time-fractional diffusion equations) seen through the lens of multivariate analysis. Compared to fractional evolution equations, research on the theory of fractional differential inclusions is however only in its initial stage of development. This is important because differen...
Multi-Objective Optimization in Theory and Practice: I. Classical Methods
by Andre A. Keller
Classical And Modern Optimization (Advanced Textbooks In Mathematics, #0)
by Guillaume Carlier
The quest for the optimal is ubiquitous in nature and human behavior. The field of mathematical optimization has a long history and remains active today, particularly in the development of machine learning.Classical and Modern Optimization presents a self-contained overview of classical and modern ideas and methods in approaching optimization problems. The approach is rich and flexible enough to address smooth and non-smooth, convex and non-convex, finite or infinite-dimensional, static or dynam...
Algorithms for Worst-Case Design and Applications to Risk Management
by Berc Rustem and Melendres Howe
Recognizing that robust decision making is vital in risk management, this book provides concepts and algorithms for computing the best decision in view of the worst-case scenario. The main tool used is minimax, which ensures robust policies with guaranteed optimal performance that will improve further if the worst case is not realized. The applications considered are drawn from finance, but the design and algorithms presented are equally applicable to problems of economic policy, engineering des...
Computational Methods In Nonlinear Analysis: Efficient Algorithms, Fixed Point Theory And Applications
by Ioannis K Argyros and Said Hilout
The field of computational sciences has seen a considerable development in mathematics, engineering sciences, and economic equilibrium theory. Researchers in this field are faced with the problem of solving a variety of equations or variational inequalities. We note that in computational sciences, the practice of numerical analysis for finding such solutions is essentially connected to variants of Newton's method. The efficient computational methods for finding the solutions of fixed point probl...
Monte Carlo Methods
In this compilation, the authors first consider applying the Monte Carlo method to the general form of the heat equation that is used for analyzing conduction heat transfer. The Monte Carlo method is then extended to some convection heat transfer applications by representing the probabilistic interpretation of the energy equation to obtain the temperature profile. Following this, Monte Carlo Methods: History and Applications discusses the Monte Carlo methods needed for the estimation of the mean...
Optimal Control and Estimation (Dover Books on Mathematics)
by Robert F. Stengel
An Introduction to Compressed Sensing (Computational Science and Engineering 22)
by M. Vidyasagar
Compressed sensing is a relatively recent area of research that refers to the recovery of high-dimensional but low-complexity objects from a limited number of measurements. The topic has applications to signal/image processing and computer algorithms, and it draws from a variety of mathematical techniques such as graph theory, probability theory, linear algebra, and optimization. The author presents significant concepts never before discussed as well as new advances in the theory, providing an i...
Nature-inspired Methods for Stochastic, Robust and Dynamic Optimization
Optimization Exercises
by Mathias Henningsson, Jan Lundgren, and Mikael Ronnqvist
Fin-Shape Thermal Optimization Using Bejan's Constuctal Theory (Synthesis Lectures on Engineering)
by Giulio Lorenzini, Simone Moretti, and Alessandra Conti
The book contains research results obtained by applying Bejan's Constructal Theory to the study and therefore the optimization of fins, focusing on T-shaped and Y-shaped ones. Heat transfer from finned surfaces is an example of combined heat transfer natural or forced convection on the external parts of the fin, and conducting along the fin. Fin's heat exchange is rather complex, because of variation of both temperature along the fin and convective heat transfer coefficient. Furthermore possible...
Mathematical Logic for Computer Science: An Introduction
by Dino Mandrioli and Paola Spoletini
In the recent decades mathematical logic has become more and more important in computer science and, in general, in system engineering. In fact, by definition, it is the wey of expressing our reasoning in terms of mathematical formalism, thus supplying it with the typical rigor and precision of mathematics. Not by chance, automatic information processing is now pervasive and we find it practically in any human activity and artefact, from embedded, safety-critical systems, to e-commerce, to socia...
Konvexe Optimierung (Wissenschaftliche Taschenbucher, #122)
by E G Golstein
Order reduction for nonlinear dynamic models of district heating networks.
by Markus Rein