Applied mathematics

The work consists of two introductory courses, developing different points of view on the study of the asymptotic behaviour of the geodesic flow, namely: the probabilistic approach via martingales and mixing (by Stephane Le Borgne); the semi-classical approach, by operator theory and resonances (by Frederic Faure and Masato Tsujii).

Intended for researchers, numerical analysts, and graduate students in various fields of applied mathematics, physics, mechanics, and engineering sciences, Applications of Lie Groups to Difference Equations is the first book to provide a systematic construction of invariant difference schemes for nonlinear differential equations.

This book introduces condition-based maintenance (CBM)/data-driven prognostics and health management (PHM) in detail, first explaining the PHM design approach from a systems engineering perspective, then summarizing and elaborating on the data-driven methodology for feature construction, as well as feature-based fault diagnosis and prognosis.

Like some of my colleagues, in my earlier years I found the multivariate Jacobian calculations horrible and unbelievable.

This book mainly provides recent advances in finite-time and fixed-time control issues for complex networks and neural networks.

Dieses Buch ist die erste fachübergreifende Einführung in die Kombinatorik in deutscher Sprache und umfasst Gesetzmäßigkeiten, Rechenregeln, Anwendungen sowie 50 Übungsaufgaben mit Lösungen.

Graduate text covering the theory of Hardy spaces from its origins to the present, with concrete applications and solved exercises.

It has been over a decade since the release of the now classic original edition of Murray's Mathematical Biology.

There are three major changes in the Third Edition of Differential Equations and Their Applications.

A timely and comprehensive treatment of random field theory with applications across diverse areas of study Level Sets and Extrema of Random Processes and Fields discusses how to understand the properties of the level sets of paths as well as how to compute the probability distribution of its extremal values, which are two general classes of problems that arise in the study of random processes and fields and in related applications.

Numerical Optimization presents a comprehensive and up-to-date description of the most effective methods in continuous optimization.

Fractional Integral Transforms: Theory and Applications presents over twenty-five integral transforms, many of which have never before been collected in one single volume.

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„Rechnen lernt man durch Rechnen“ – diesen plakativen Satz gab uns als Studenten einer unserer Professoren mit auf den Weg.

This book introduces readers to benchmarking techniques in the stochastic environment, primarily stochastic data envelopment analysis (DEA), and provides stochastic models in DEA for the possibility of variations in inputs and outputs.

Originally published in 1937.

Soft computing is the common name for a certain form of natural information processing that has its original form in biology, especially in the function of human brain.

Mathematical modeling plays an essential role in science and engineering.

This book is intended for university seniors and graduate students majoring in probability theory or mathematical finance.

This book on finite element-based computational methods for solving incompressible viscous fluid flow problems shows readers how to apply operator splitting techniques to decouple complicated computational fluid dynamics problems into a sequence of relatively simpler sub-problems at each time step, such as hemispherical cavity flow, cavity flow of an Oldroyd-B viscoelastic flow, and particle interaction in an Oldroyd-B type viscoelastic fluid.

The aim of this book is to provide insight into Data Science and Artificial Learning Techniques based on Industry 4.

The thirty papers published in this book represent the latest developments in Discontinuous Deformation Analysis (DDA).

Exploring new variations of classical methods as well as recent approaches appearing in the field, Computational Fluid Dynamics demonstrates the extensive use of numerical techniques and mathematical models in fluid mechanics.

The series is designed to bring together those mathematicians who are seriously interested in getting new challenging stimuli from economic theories with those economists who are seeking effective mathematical tools for their research.

Rational extended thermodynamics (RET) is the theory that is applicable to nonequilibrium phenomena out of local equilibrium.

This Research Note presents several contributions and mathematical studies in fluid mechanics, namely in non-Newtonian and viscoelastic fluids and on the Navier-Stokes equations in unbounded domains.

Soft computing is a new, emerging discipline rooted in a group of technologies that aim to exploit the tolerance for imprecision and uncertainty in achieving solutions to complex problems.

This proceedings presents the result of the 8th International Conference in Network Analysis, held at the Higher School of Economics, Moscow, in May 2018.

All students and professionals in statistics should refer to this volume as it is a handy reference source for statistical formulas and information on basic probability distributions.

This book systematically presents the topological structure of solution sets and attractability for nonlinear evolution inclusions, together with its relevant applications in control problems and partial differential equations.

This volume contains the contributions to a conference that is among the most important meetings in financial mathematics.

This book analyses and discusses bonds and bond portfolios.

This book is an introduction to financial mathematics.

This book provides a concise yet comprehensive look at carbon nanostructured materials, focusing on synthesis methodologies, applications, and fundamental principles.

Shapes have been among man's fascinations from thestoneage to thespace age.

This book presents lecture notes from the XVI 'Jacques-Louis Lions' Spanish-French School on Numerical Simulation in Physics and Engineering, held in Pamplona (Navarra, Spain) in September 2014.

This book both analyzes and synthesizes new cutting-edge theories and methods for future design implementations in smart cities through interdisciplinary synergizing of architecture, technology, and the Internet of Things (IoT).

The sequential quadratic hamiltonian (SQH) method is a novel numerical optimization procedure for solving optimal control problems governed by differential models.

Phase Change Materials for Thermal Energy Management and Storage: Fundamentals and Applications provides the latest advances in thermal energy applications of phase change materials (PCMs).

This book offers a comprehensive presentation of the theory and methods of risk-averse optimization and control.

This important resource offers the first in-depth account of the graph dynamics system SER (Scheduling by Edge Reversal),.