Numerical analysis

This textbook is devoted to second order linear partial differential equations.

Spectral methods have long been popular in direct and large eddy simulation of turbulent flows, but their use in areas with complex-geometry computational domains has historically been much more limited.

Deeply rooted in fundamental research in Mathematics and Computer Science, Cellular Automata (CA) are recognized as an intuitive modeling paradigm for Complex Systems.

This book provides a concise and comprehensive introduction to several basic methods with more attention to their theoretical basis and applications in fluid dynamics.

The SCAN conference, the International Symposium on Scientific Com- puting, Computer Arithmetic and Validated Numerics, takes place bian- nually under the joint auspices of GAMM (Gesellschaft fiir Angewandte Mathematik und Mechanik) and IMACS (International Association for Mathematics and Computers in Simulation).

This book constitutes the revised papers of the 46th International Workshop on Graph-Theoretic Concepts in Computer Science, WG 2020, held in Leeds, UK, in June 2020.

A comprehensive look at the Schwarz-Christoffel transformation, including its many applications.

This book presents the state-of-the-art in simulation on supercomputers.

This textbook provides a comprehensive introduction to nature-inspired metaheuristic methods for search and optimization, including the latest trends in evolutionary algorithms and other forms of natural computing.

This volume contains eight state of the art contributions on mathematical aspects and applications of fast boundary element methods in engineering and industry.

This volume is the Proceedings of the symposium held at the University of Wyoming in August, 1985, to honor Gail Young on his seventieth birthday (which actually took place on October 3, 1985) and on the occasion of his retirement.

Numerical Analysis for Engineers: Methods and Applications demonstrates the power of numerical methods in the context of solving complex engineering and scientific problems.

This book revisits the long-standing puzzle of cross-scale energy transfer and dissipation in plasma turbulence and introduces new perspectives based on both magnetohydrodynamic (MHD) and Vlasov models.

This volume contains original, refereed contributions by researchers from national metrology institutes, universities and laboratories across the world involved in metrology and testing.

This book focuses on mathematical theory and numerical simulation related to various aspects of continuum mechanics, such as fracture mechanics, elasticity, plasticity, pattern dynamics, inverse problems, optimal shape design, material design, and disaster estimation related to earthquakes.

This book presents a collection of results from the interdisciplinary research project "e;ELLI"e; published by researchers at RWTH Aachen University, the TU Dortmund and Ruhr-Universitat Bochum between 2011 and 2016.

This book constitutes revised selected papers of the 20th International Conference on Information Technologies and Mathematical Modelling, ITMM 2021, named after A.

This book offers a practical presentation of stochastic partial differential equations arising in physical applications and their numerical approximation.

Designed to give a contemporary international survey of research activities in approximation theory and special functions, this book brings together the work of approximation theorists from North America, Western Europe, Asia, Russia, the Ukraine, and several other former Soviet countries.

This book constitutes the thoroughly refereed pChania, Crete, Greece, in May 2019.

Advanced Mathematical Analysis and its Applications presents state-of-the-art developments in mathematical analysis through new and original contributions and surveys, with a particular emphasis on applications in engineering and mathematical sciences.

This book constitutes the refereed proceedings of the Mathematical modeling of technological processes track of the 8th International Conference on Computational and Information Technologies in Science, Engineering and Education, CITech 2015, held in Almaty, Kazakhstan, in September 2015.

The Complex Variable Boundary Element Method or CVBEM is a generalization of the Cauchy integral formula into a boundary integral equation method or BIEM.

This book contains 43 papers form among the 55 papers presented at the Sixth International Conference on Fibonacci Numbers and Their Applications which was held at Washington State University, Pullman, Washington, from July 18-22, 1994.

The six-volume set LNCS 10404-10409 constitutes the refereed proceedings of the 17th International Conference on Computational Science and Its Applications, ICCSA 2017, held in Trieste, Italy, in July 2017.

This proceedings volume gathers peer-reviewed, selected papers presented at the "e;Mathematical and Numerical Approaches for Multi-Wave Inverse Problems"e; conference at the Centre Internacional de Rencontres Mathematiques (CIRM) in Marseille, France, in April 2019.

Multivariate polynomials are a main tool in approximation.

This book describes a recent effort combining interdisciplinary expertise within the Collaborative Research Centre "e;Energy transfers in atmosphere and ocean"e; (TRR-181), which was funded by the German Research Foundation (DFG).

The conference proceeding  LNCS 11346 constitutes the refereed proceedings of the 12th International Conference on Combinatorial Optimization and Applications, COCOA 2018, held in Atlanta, GA, USA, in December 2018.

The content of the book collects some contributions related to the talks presented during the INdAM Workshop "e;Fractional Differential Equations: Modelling, Discretization, and Numerical Solvers"e;, held in Rome, Italy, on July 12-14, 2021.

This book focuses on different applications of multimedia with supervised and unsupervised data engineering in the modern world.

This book constitutes the refereed proceedings of the 7th International Conference on Optimization and Learning, OLA 2024, held in Dubrovnik, Croatia, during May 13-15, 2024.

This volume constitutes the thoroughly refereed post-conference proceedings of the 7th International Conference on Swarm, Evolutionary, and Memetic Computing, SEMCCO 2019, and 5th International Conference on Fuzzy and Neural Computing, FANCCO 2019, held in Maribor, Slovenia, in July 2019.

This book presents the current trends, technologies, and challenges in Big Data in the diversified field of engineering and sciences.

This graduate-level text provides an application oriented introduction to the numerical methods for elliptic and parabolic partial differential equations.

Fluid-structure interactions (FSI), that is interactions of some movable or deformable structure with an internal or surrounding fluid flow, are among the most important and, with respect to both modelling and computational issues, the most challenging multi-physics problems.

Everything should be made as simple as possible, but not simpler.

Variational analysis is a fruitful area in mathematics that, on one hand, deals with the study of optimization and equilibrium problems and, on the other hand, applies optimization, perturbation, and approximation ideas to the analysis of a broad range of problems that may not be of a variational nature.

This book constitutes the refereed post proceedings of the16th International Symposium, SCAN 2014, held in Wurzburg, Germany, in September 2014.

The book is the follow-up to its predecessor "e;Automation, Communication and Cybernetics in Science and Engineering 2009/2010"e; and includes a representative selection of all scientific publications published between 07/2011 and 06/2012 in various books, journals and conference proceedings by the researchers of the following institute cluster:IMA - Institute of Information Management in Mechanical EngineeringZLW - Center for Learning and Knowledge ManagementIfU - Associated Institute for Management CyberneticsFaculty of Mechanical Engineering, RWTH Aachen UniversityInnovative fields of application, such as cognitive systems, autonomous truck convoys, telemedicine, ontology engineering, knowledge and information management, learning models and technologies, organizational development and management cybernetics are presented.

This book constitutes the thoroughly refereed post-conference proceedings of the 6th International Conference on Learning and Intelligent Optimization, LION 6, held in Paris, France, in January 2012.

This updated and revised second edition of the leading reference volume on distance metrics includes a wealth of new material that reflects advances in a developing field now regarded as an essential tool in many areas of pure and applied mathematics.

This book is a guide to numerical methods for solving fluid dynamics problems.

Partial differential equations (PDEs) describe technological phenomena and processes used for the analysis, design, and modeling of technical products.

This book provides an overview of the emerging field of in situ visualization, i.

Advanced numerical simulations that use adaptive mesh refinement (AMR) methods have now become routine in engineering and science.