Numerical analysis

This volume examines current research in mechanics and its applications to various disciplines, with a particular focus on fluid-structure interaction (FSI).

This monograph is devoted to the study of multiscale model reduction methods from the point of view of multiscale finite element methods.

The NUMISHEET conference series is the most significant international conference on the area of the numerical simulation of sheet metal forming processes.

Deformable objects are ubiquitous in the world surrounding us, on all levels from micro to macro.

This book primarily concerns quasilinear and semilinear elliptic and parabolic partial differential equations, inequalities, and systems.

There have been substantial developments in meshfree methods, particle methods, and generalized finite element methods since the mid 1990s.

This book focuses on theoretical aspects of dynamical systems in the broadest sense.

Drug research and discovery are of critical importance in human health care.

This volume is part of collection of contributions devoted to analytical and experimental techniques of dynamical systems, presented at the 15th International Conference "e;Dynamical Systems: Theory and Applications"e;, held in Lodz, Poland on December 2-5, 2019.

This volume chronicles the high impact research career of Harvey Greenberg (1940-2018), and in particular, it reviews historical contributions, presents current research projects, and suggests future pursuits.

This book addresses key conceptual issues relating to the modern scientific and engineering use of computer simulations.

The two-volume Proceedings set CCIS 1637 and 1638 constitutes the refereed proceedings of the Third International Conference on Neural Computing for Advanced Applications, NCAA 2022, held in Jinan, China, during July 8-10, 2022.

This book has grown out of lectures and courses given at Linkoping University, Sweden, over a period of 15 years.

This book gathers selected, extended and revised contributions to the 15th International Symposium on Computer Methods in Biomechanics and Biomedical Engineering (CMBBE2018), and the 3rd Conference on Imaging and Visualization, which took place on 26-29 March, 2018, in Lisbon, Portugal.

Over the last decade, the role of computational simulations in all aspects of aerospace design has steadily increased.

Inequalities of Ostrowski and Trapezoidal Type for Functions of Selfadjoint Operators on Hilbert Spaces presents recent results concerning Ostrowski and Trapezoidal type inequalities for continuous functions of bounded Selfadjoint operators on complex Hilbert spaces.

Undoubtably one of the key factors influencing recent technology has been the advent of high speed computational tools.

This book constitutes the proceedings of the 6th International Conference on Algorithms and Discrete Applied Mathematics, CALDAM 2020, held in Hyderabad, India, in February 2020.

Books on computation in the marketplace tend to discuss the topics within specific fields.

In the first edition of this book, we covered in Chapter 6 and 7 the applications to multidimensional convolutions and DFT's of the transforms which we have introduced, back in 1977, and called polynomial transforms.

Scientists and engineers are mainly using Richardson extrapolation as a computational tool for increasing the accuracy of various numerical algorithms for the treatment of systems of ordinary and partial differential equations and for improving the computational efficiency of the solution process by the automatic variation of the time-stepsizes.

This volume reflects the latest developments in the area of wavelet analysis and its applications.

The objective of this book is to navigate beginning graduate students in mathematics and engineering through a mature field of multiscale problems in homogenization theory and to provide an idea of its broad scope.

Space–Time Computational Flow Analysis (STCFA) was developed in 1990 in the context of flows with moving boundaries and interfaces, which is a wide class of problems that includes fluid–particle interactions, fluid–structure interactions (FSI), and free-surface and multi-fluid flows.

This book constitutes the refereed proceedings of the 10th International Symposium on Algorithmic Game Theory, SAGT 2017, held in L'Aquila, Italy, in September 2017.

From the very beginning of their investigation of human reasoning, philosophers have identified two other forms of reasoning, besides deduction, which we now call abduction and induction.

The importance of accuracy verification methods was understood at the very beginning of the development of numerical analysis.

Overview For over a decade now, wavelets have been and continue to be an evolving subject of intense interest.

The roots of the project which culminates with the writing of this book can be traced to the work on logic synthesis started in 1979 at the IBM Watson Research Center and at University of California, Berkeley.

The book is made up by several worked out problems concerning the application of reduced order modeling to different parametric partial differential equations problems with an increasing degree of complexity.

This book provides theories on non-parametric shape optimization problems, systematically keeping in mind readers with an engineering background.

This is a comprehensive introduction to Landau-Lifshitz equations and Landau-Lifshitz-Maxwell equations, beginning with the work by Yulin Zhou and Boling Guo in the early 1980s and including most of the work done by this Chinese group led by Zhou and Guo since.

This book is primarily intended for undergraduates in mathematics, the physical sciences and engineering.

In this book, the general theory of submanifolds in a multidimensional projective space is constructed.

This contributed volume explores innovative research in the modeling, simulation, and control of crowd dynamics.

Modern computing tools like Maple (symbolic computation) and Matlab (a numeric computation and visualization program) make it possible to easily solve realistic nontrivial problems in scientific computing.

This book describes the methods and numerical approaches for data assimilation in geodynamical models and presents several applications of the described methodology in relevant case studies.

This book provides an extensive introduction to numerical computing from the viewpoint of backward error analysis.

Quantitative thinking is our inclination to view natural and everyday phenomena through a lens of measurable events, with forecasts, odds, predictions, and likelihood playing a dominant part.

This  two volume set LNCS 14422-14423 constitutes the refereed proceedings of the 29th International Conference, COCOON 2023, held in Hawaii, HI, USA, during December 2023.

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In dem vorliegenden Buch werden zu grundlegenden Themen der numerischen Mathematik Übungsaufgaben und deren Lösungen vorgestellt.

This book provides an introduction to the fundamental theory, practical implementation, and core and emerging applications of the material point method (MPM) and its variants.

This book offers a timely snapshot of computational methods applied to the study of bone tissue.

This book presents a comprehensive mathematical and computational approach for solving electromagnetic problems of practical relevance, such as electromagnetic scattering and the cavity problems.

The book collects and contributes new results on the theory and practice of ill-posed inverse problems.

This book presents the refereed proceedings of the 15th International Conference on Monte Carlo and Quasi-Monte Carlo Methods in Scientific Computing that was held in Linz, Austria, and organized by the Johannes Kepler University Linz and the Austrian Academy of Sciences, in July 2022.