Numerisk analyse

This book constitutes the refereed proceedings of the 17th Annual Conference on Theory and Applications of Models of Computation, TAMC 2022, held as a virtual event, in September 2022.The 33 full papers were carefully reviewed and selected from 75 submissions. The main themes of the selected papers are computability, complexity, algorithms, information theory and their extensions to machine learning theory, and foundations of artificial intelligence.

This book constitutes the proceedings of the International Joint Conference on Theoretical Computer Science-Frontier of Algorithmic Wisdom (IJTCS-FAW 2022), for the 16th International Conference on Frontier of Algorithmic Wisdom (FAW) and the third International Joint Conference on Theoretical Computer Science (IJTCS), held in Hong Kong, China, in August 15-19 2022.FAW started as the Frontiers of Algorithmic Workshop in 2007 at Lanzhou, China, and was held annually from 2007 to 2021 and published archival proceedings. IJTCS, the International joint theoretical Computer Science Conference, started in 2020, aimed to bring in presentations covering active topics in selected tracks in theoretical computer science.To accommodate the diversified new research directions in theoretical computer science, FAW and IJTCS joined their forces together to organize an event for information exchange of new findings and work of enduring value in the field. In addition to four keynote speakers, 26 invited speakers and 19 contributed speakers, IJTCS-FAW2022 organized Forums for undergraduate research, young PhD graduates, young TCS faculty members, female researchers, as well as a forum in Conscious AI and a CSIAM Forum in blockchain.The 19 full papers presented in this book were carefully reviewed and selected from 25 submissions. They were organized in topical sections as follows: Algorithmic Game Theory; Game Theory in Block Chain; Frontiers of Algorithmic Wisdom; Computational and Network Economics.

Chapter(s) ¿Chapter Name or No.¿ is/are available open access under a Creative Commons Attribution 4.0 International License via link.springer.com.

Dieses Lehrbuch konzentriert sich auf spezielle Funktionen der Physik im reellen und komplexen Bereich. Es behandelt mehr als 170 verschiedene Funktionen mit zusätzlichen numerischen Hinweisen für effiziente Berechnungen, die für jeden nützlich sind, der auch mit anderen Programmiersprachen programmieren muss. Das Buch enthält MATLAB-basierte Programme für jede dieser Funktionen und eine ausführliche html-basierte Dokumentation. Einige der erklärten Funktionen sind: Gamma- und Beta-Funktionen; Legendre-Funktionen, die mit der Quantenmechanik und der Elektrodynamik in Verbindung stehen; Bessel-Funktionen; hypergeometrische Funktionen, die in der mathematischen Physik eine wichtige Rolle spielen; orthogonale Polynome, die vor allem in der computergestützten Physik verwendet werden; und Riemann-Zeta-Funktionen, die z. B. in der Quantenchaos- oder Stringtheorie eine wichtige Rolle spielen. Das Buch richtet sich in erster Linie an Wissenschaftler, Fachleute in Forschungsbereichen der Industrie und fortgeschrittene Studierende der Physik, der angewandten Mathematik und der Ingenieurwissenschaften.

The volume covers most of the topics addressed and discussed during the Workshop INdAM "e;Recent advances in kinetic equations and applications"e;, which took place in Rome (Italy), from November 11th to November 15th, 2019. The volume contains results on kinetic equations for reactive and nonreactive mixtures and on collisional and noncollisional Vlasov equations for plasmas. Some contributions are devoted to the study of phase transition phenomena, kinetic problems with nontrivial boundary conditions and hierarchies of models. The book, addressed to researchers interested in the mathematical and numerical study of kinetic equations, provides an overview of recent advances in the field and future research directions.

This is a book on deterministic and stochastic Growth Theory and the computational methods needed to produce numerical solutions. Exogenous and endogenous growth models are thoroughly reviewed. Special attention is paid to the use of these models for fiscal and monetary policy analysis. Modern Business Cycle Theory, the New Keynesian Macroeconomics, the class of Dynamic Stochastic General Equilibrium models, can be all considered as special cases of models of economic growth, and they can be analyzed by the theoretical and numerical procedures provided in the textbook.Analytical discussions are presented in full detail. The book is self contained and it is designed so that the student advances in the theoretical and the computational issues in parallel. EXCEL and Matlab files are provided on an accompanying website (see Preface to the Second Edition) to illustrate theoretical results as well as to simulate the effects of economic policy interventions. The structure of these program files is described in "e;Numerical exercise"e;-type of sections, where the output of these programs is also interpreted. The second edition corrects a few typographical errors and improves some notation.

This book serves as a concise textbook for students in an advanced undergraduate or first-year graduate course in various disciplines such as applied mathematics, control, and engineering, who want to understand the modern standard of numerical methods of ordinary and delay differential equations. Experts in the same fields can also learn about the recent developments in numerical analysis of such differential systems. Ordinary differential equations (ODEs) provide a strong mathematical tool to express a wide variety of phenomena in science and engineering. Along with its own significance, one of the powerful directions toward which ODEs extend is to incorporate an unknown function with delayed argument. This is called delay differential equations (DDEs), which often appear in mathematical modelling of biology, demography, epidemiology, and control theory. In some cases, the solution of a differential equation can be obtained by algebraic combinations of known mathematical functions. In many practical cases, however, such a solution is quite difficult or unavailable, and numerical approximations are called for. Modern development of computers accelerates the situation and, moreover, launches more possibilities of numerical means. Henceforth, the knowledge and expertise of the numerical solution of differential equations becomes a requirement in broad areas of science and engineering.One might think that a well-organized software package such as MATLAB serves much the same solution. In a sense, this is true; but it must be kept in mind that blind employment of software packages misleads the user. The gist of numerical solution of differential equations still must be learned. The present book is intended to provide the essence of numerical solutions of ordinary differential equations as well as of delay differential equations. Particularly, the authors noted that there are still few concise textbooks of delay differential equations, and then they set about filling the gap through descriptions as transparent as possible. Major algorithms of numerical solution are clearly described in this book. The stability of solutions of ODEs and DDEs is crucial as well. The book introduces the asymptotic stability of analytical and numerical solutions and provides a practical way to analyze their stability by employing a theory of complex functions.

Flight Mechanics Modeling and Analysis comprehensively covers flight mechanics and flight dynamics using a systems approach. The book focuses on applied mathematics and control theory in its discussion of flight mechanics to build a strong foundation for solving design and control problems.

This book constitutes the thoroughly refereed proceedings of the Third Iberoamerican Conference, KGSWC 2021, held in Kingsville, Texas, USA, in November 2021.*The 22 full and 2 short papers presented were carefully reviewed and selected from 85 submissions. The papers cover topics related to software and its engineering, information systems, software creation and management, World Wide Web, web data description languages, and others.*Due to the Covid-19 pandemic the conference was held virtually.

This book constitutes thoroughly refereed and revised selected best and visionary papers from the Workshops held at the International Conference on Autonomous Agents and Multiagent Systems AAMAS 2022, which took place online, during  May 9-13, 2022.The 5 best papers and 4 visionary papers included in this book stem from the following workshops: - 13th Workshop on Optimization and Learning in Multi-agent Systems (OptLearnMAS);- 23rd Workshop on Multi-Agent Based Simulation (MABS);- 6th Workshop on Agent-Based Modelling of Urban Systems (ABMUS);- 10th Workshop on Engineering Multi-Agent Systems (EMAS);- 1st Workshop on Rebellion and Disobedience in AI (RaD-AI).There was a total of 59 submissions to these workshops. 

Dieses Lehrbuch vermittelt grundlegende Kenntnisse zu den wichtigsten Themen der numerischen Mathematik. Dazu gehören jeweils Algorithmen, Fehlerabschätzungen und Fragen der arithmetischen Komplexität. Zahlreiche kleine Anwendungsbeispiele, Abbildungen, Pseudo-Codes, numerische Illustrationen und einfache Rechenbeispiele unterstützen die Lektüre. Das Lehrbuch ist sowohl als Begleittext für einführende Vorlesungen über Numerik als auch im Selbststudium einsetzbar. Auf die Präsentation von Beweisen mathematischer Aussagen wird größtenteils verzichtet.In der Springer Nature Flashcards-App stehen circa 140 Multiple-Choice- und Lückentext-Fragen zur Verfügung, mit der die erworbenen Kenntnisse überprüft werden können.Zielgruppe:Studierende und Hochschulabsolvierende der Natur- und Ingenieurwissenschaften sowie der Mathematik und Informatik an Universitäten und Fachhochschulen.

This book constitutes the refereed proceedings of the 29th International Symposium on String Processing and Information Retrieval, SPIRE 2022, held in Concepcion, Chile, in November 2022.The 23 full papers presented in this volume were carefully reviewed and selected from 43 submissions. They cover topics such as: data structures; algorithms; information retrieval; compression; combinatorics on words; and computational biology.

This textbook offers a guided tutorial reviewing the theoretical fundamentals while going through the practical examples used for constructing the computational frame, applied to various real-life models.

The text covers a wide range of topics such as mathematical modeling of crop pest control management, water resources management, impact of anthropogenic activities on atmospheric carbon dioxide concentrations, impact of climate changes on melting of glaciers and polar bear populations, dynamics of slow-fast predator-prey system and spread and control of HIV epidemic. It emphasizes the use of mathematical modeling to investigate the fluid flow problems including the breaking of viscoelastic jet, instability arising in nanofiber, flow in an annulus channel, and thermal instability in nano-fluids in a comprehensive manner. This book will be a readily accessible source of information for the students, researchers and policymakers interested in the application of mathematical and computational modeling techniques to investigate various biological and engineering phenomena.FeaturesFocuses on the current modeling and computational trends to investigate various ecological, epidemiological, and engineering systems.Presents the mathematical modeling of a wide range of ecological and environmental issues including crop pest control management, water resources management, the effect of anthropogenic activities on atmospheric carbon dioxide concentrations, and impact of climate changes on melting of glaciers and polar bear population.Covers a wide range of topics including the breaking of viscoelastic jet, instability arising in nanofiber, flow in an annulus channel, and thermal instability in nano-fluids.Examines evolutionary models i.e., models of time-varying processes. Highlights the recent developments in the analytical methods to investigate the nonlinear dynamical systems.Showcases diversified applications of computational techniques to solve practical biological and engineering problems.The book focuses on the recent research developments in the mathematical modeling and scientific computing of biological and engineering systems. It will serve as an ideal reference text for senior undergraduate, graduate students, and researchers in diverse fields including ecological engineering, environmental engineering, computer engineering, mechanical engineering, mathematics, and fluid dynamics.