Numerical analysis

This book is an introduction to the theory, practice, and implementation of the Lattice Boltzmann (LB) method, a powerful computational fluid dynamics method that is steadily gaining attention due to its simplicity, scalability, extensibility, and simple handling of complex geometries.

This book contains and summarizes research carried out within the DFG Priority Programme 1897: "e;Calm, Smooth and Smart - Novel Approaches for Influencing Vibrations by Means of Deliberately Introduced Dissipation"e;.

This textbook provides and introduction to numerical computing and its applications in science and engineering.

The aim of this book is to explain to high-performance computing (HPC) developers how to utilize the Intel(R) Xeon Phi(TM) series products efficiently.

This volume highlights recent advances in data science, including image processing and enhancement on large data, shape analysis and geometry processing in 2D/3D, exploration and understanding of neural networks, and extensions to atypical data types such as social and biological signals.

This book presents a modern introduction to analytical and numerical techniques for solving ordinary differential equations (ODEs).

Aimed at the community of mathematicians working on ordinary and partial differential equations, difference equations, and functional equations, this book contains selected papers based on the presentations at the International Conference on Differential & Difference Equations and Applications (ICDDEA) 2015, dedicated to the memory of Professor Georg Sell.

Address physical principles and unified theories governing multiphase flows, with methods, applications, and problems.

This volume constitutes selected papers presented during the 8th International Conference on Metaheuristics and Nature Inspired Computing, META 2021, held in Marrakech, Morocco, in October 201.

Multivariate polynomials are a main tool in approximation.

Finite volume methods are used in numerous applications and by a broad multidisciplinary scientific community.

Numerical Methods in Finance have recently emerged as a new discipline at the intersection of probability theory, finance and numerical analysis.

This book constitutes the proceedings of the 13th International Conference and Workshop on Algorithms and Computation, WALCOM 2019, held in Guwahati, India, in February/ March 2019.

Finite element methods are the most popular methods for solving partial differential equations numerically, and despite having a history of more than 50 years, there is still active research on their analysis, application and extension.

Traditionally, scientific fields have defined boundaries, and scientists work on research problems within those boundaries.

Originally published in 1999, Wavelets Made Easy offers a lucid and concise explanation of mathematical wavelets.

This volume constitutes the refereed proceedings of the 25th IFIP WG 1.

The latest advances in the High Performance Computing hardware have significantly raised the level of available compute performance.

Fracture mechanics has established itself as an important discipline of growing interest to those working to assess the safety, reliability and service life of engineering structures and materials.

Image processing is concerned with the analysis and manipulation of images by computer.

This volume contains a collection of articles on state-of-the-art developments in the construction of theoretical integral techniques and their application to specific problems in science and engineering.

The developments in mesh generation are usually driven by the needs of new applications and/or novel algorithms.

This three-volume set LNCS 12452, 12453, and 12454 constitutes the proceedings of the 20th International Conference on Algorithms and Architectures for Parallel Processing, ICA3PP 2020, in New York City, NY, USA, in October 2020.

The two-volume set LNCS 11944-11945 constitutes the proceedings of the 19th International Conference on Algorithms and Architectures for Parallel Processing, ICA3PP 2019, held in Melbourne, Australia, in December 2019.

This book addresses the modelling of mechanical waves by asking the right questions about them and trying to find suitable answers.

This book constitutes the refereed proceedings of the 21st International Workshop on Approximation and Online Algorithms, WAOA 2023, held in Amsterdam, The Netherlands, during September 7-8, 2023The 16 full papers included in this book are carefully reviewed and selected from 43 submissions.

A comprehensive overview of Monte Carlo simulation that explores the latest topics, techniques, and real-world applications More and more of today s numerical problems found in engineering and finance are solved through Monte Carlo methods.

This book aims to give an encyclopedic overview of the state-of-the-art of Krylov subspace iterative methods for solving nonsymmetric systems of algebraic linear equations and to study their mathematical properties.

This volume gathers contributions from participants of the Introductory School and the IHP thematic quarter on Numerical Methods for PDE, held in 2016 in Cargese (Corsica) and Paris, providing an opportunity to disseminate the latest results and envisage fresh challenges in traditional and new application fields.

Mesh adaptation methods can have a profound impact on the numerical solution of partial differential equations.

This proceedings volume covers research in key areas of applied mathematical analysis, and gathers works presented at the international conference "e;Concord-90,"e; in honor of the 90th birthday of Professor Constantin Corduneanu (1928-2018).

The book contains the methods and bases of functional analysis that are directly adjacent to the problems of numerical mathematics and its applications; they are what one needs for the understand- ing from a general viewpoint of ideas and methods of computational mathematics and of optimization problems for numerical algorithms.

This book constitutes the refereed proceedings of the 25th Annual Symposium on Combinatorial Pattern Matching, CPM 2014, held in Moscow, Russia, in June 2014.

This monograph provides an introduction to the design and analysis of Hybrid High-Order methods for diffusive problems, along with a panel of applications to advanced models in computational mechanics.

This book is comprehensive in its classical mathematical physics presentation, providing the reader with detailed instructions for obtaining Green's functions from scratch.

Besides their intrinsic mathematical interest, geometric partial differential equations (PDEs) are ubiquitous in many scientific, engineering and industrial applications.

The present book develops the mathematical and numerical analysis of linear, elliptic and parabolic partial differential equations (PDEs) with coefficients whose logarithms are modelled as Gaussian random fields (GRFs), in polygonal and polyhedral physical domains.

Assembled here is a collection of articles presented at a NATO ADVANCED STU- DY INSTITUTE held at Puerto de la Cruz, Tenerife, Spain during the period of July 10th to 21st, 1989.

This book constitutes refereed proceedings of the 21st International Conference on Mathematical Optimization Theory and Operations Research, MOTOR 2022, held in Petrozavodsk, Russia, in July 2022.

Nonlinear functional analysis is a central subject of mathematics with applications in many areas of geometry, analysis, fl uid and elastic mechanics, physics, chemistry, biology, control theory, optimization, game theory, economics etc.

This book is a collection of invited and reviewed chapters on state-of-the-art developments in interdisciplinary mathematics.

The foreign exchange market is one of the most complex dynamic markets with the characteristics of high volatility, nonlinearity and irregularity.