Numerical analysis

This book presents the fundamental notions and advanced mathematical tools in the stochastic modeling of uncertainties and their quantification for large-scale computational models in sciences and engineering.

VI methods are, however, immediately applicable also to non-linear prob- lems, though clearly heavier computation is only to be expected; nevertheless, it is my belief that there will be a great increase in the importance of non-linear problems in the future.

This proceedings volume gathers a selection of papers presented at the Fifth International Conference on High Performance Scientific Computing, which took place in Hanoi on March 5-9, 2012.

The idea of the book is to provide a comprehensive overview of computational physics methods and techniques, that are used for materials modeling on different length and time scales.

This volume gathers selected contributions from the participants of the Banff International Research Station (BIRS) workshop Coupled Mathematical Models for Physical and Biological Nanoscale Systems and their Applications, who explore various aspects of the analysis, modeling and applications of nanoscale systems, with a particular focus on low dimensional nanostructures and coupled mathematical models for their description.

At the intersection of mathematics, engineering, and computer science sits the thriving field of compressive sensing.

An extensively updated second edition including new chapters on emerging subject areas: geometric numerical integration, spectral methods and conjugate gradients.

This book presents a thorough discussion of the theory of abstract inverse linear problems on Hilbert space.

The book originates from the mini-symposium "e;Mathematical descriptions of traffic flow: micro, macro and kinetic models"e; organised by the editors within the ICIAM 2019 Congress held in Valencia, Spain, in July 2019.

This volume constitutes the refereed proceedings of the 18th International Symposium on Neural Networks, ISNN 2024, held in Weihai, China, during 11-14, July 2024.

Line and hyperplane location problems play an important role not only in operations research and location theory, but also in computational geometry and robust statistics.

This book constitutes the refereed post-conference proceedings on Learning and Intelligent Optimization, LION 15, held in Athens, Greece, in June 2021.

This book contains select chapters of proceedings presented at the 6th International Conference on Frontiers in Industrial and Applied Mathematics (FIAM-2023), held at the Birla Institute of Technology and Science, Pilani-Dubai Campus, UAE, on 21-22 December 2023.

This book presents the state-of-the-art in supercomputer simulation.

This book presents the proceedings of the XXII International Conference on Industrial Engineering and Operations Management, International IIE Conference 2016, and International AIM Conference 2016.

These Lecture Notes have been compiled from the material presented by the second author in a lecture series ('Nachdiplomvorlesung') at the Department of Mathematics of the ETH Zurich during the summer term 2002.

This new edition provides a description of current developments relating to grid methods, grid codes, and their applications to actual problems.

This book presents step-by-step description of the use of Lie group analysis to find symmetry forms and similarity solutions for single- and two-phase laminar and turbulent flows of nanofluids.

This book deals with horizontal-axis wind turbine aerodynamic performance prediction methods.

The subject of partial differential equations holds an exciting and special position in mathematics.

The book introduces the key ideas behind practical nonlinear optimization.

Scilab is a free open-source software package for scientific computation.

This book presents a summary of the important outcomes of the SIGMA project related to all aspects of Probabilistic Seismic Hazard Assessment: source characterization, rock motion characterization, site response characterization, and hazard calculations, with for all of them emphasis on the treatment of uncertainties.

In 1995 the Handbook of Global Optimization (first volume), edited by R.

This book proposes new technologies and discusses future solutions for ICT design infrastructures, as reflected in high-quality papers presented at the 5th International Conference on ICT for Sustainable Development (ICT4SD 2020), held in Goa, India, on 23-24 July 2020.

This volume contains major lectures given at ENUMATH 99, the 3rd European Conference on Numerical Mathematics and Advanced Applications.

This book offers an ideal introduction to singular perturbation problems, and a valuable guide for researchers in the field of differential equations.

Wavelets are spatially localized functions whose amplitude drops off exponentially outside a small "e;window"e;.

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 book publishes select papers presented at the 4th International Conference on Frontiers in Industrial and Applied Mathematics (FIAM-2021), held at the Sant Longowal Institute of Engineering and Technology, Longowal, Punjab, India, from 21-22 December 2021.

This book constitutes the thoroughly refereedpost-conference proceedings of the 12th International Conference on ArtificialEvolution, EA 2015, held in Lyon, France, in October 2015.

This book is aimed toward graduate students and researchers in mathematics, physics and engineering interested in the latest developments in analytic inequalities, Hilbert-Type and Hardy-Type integral inequalities, and their applications.

The implicit function theorem is one of the most important theorems in analysis and its many variants are basic tools in partial differential equations and numerical analysis.

The book provides a collection of recent applications of nature inspired optimization in industrial fields.

Instabilities of fluid flows and the associated transitions between different possible flow states provide a fascinating set of problems that have attracted researchers for over a hundred years.

Modern complex multi-domain systems require increased efficiency, reliability, and availability combined with reduced cost.

Recent Advances in Numerical Methods features contributions from distinguished researchers focused on significant aspects of current numerical methods and computational mathematics.

This book investigates the stability and vibrations of conductive, perfectly conductive and superconductive thin bodies in electromagnetic fields.

First book on the fast multipole BEM, bringing together classical theory in BEM formulations and the fast multipole method.

In many scientific or engineering applications, where ordinary differen- tial equation (OOE),partial differential equation (POE), or integral equation (IE) models are involved, numerical simulation is in common use for prediction, monitoring, or control purposes.

This book is a source of valuable and useful information on the topics of dynamics of number systems and scientific computation with arbitrary precision.

S is a powerful environment for the statistical and graphical analysis of data.

This volume collects the extended versions of papers presented at the SIS Conference "e;Statistics and Data Science: new challenges, new generations"e;, held in Florence, Italy on June 28-30, 2017.

This book is a substantially revised and expanded edition reflecting major developments in stochastic numerics since the first edition was published in 2004.

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.

Multibody Dynamics is an area of Computational Mechanics which blends together various disciplines such as structural dynamics, multi-physics - chanics, computational mathematics, control theory and computer science, in order to deliver methods and tools for the virtual prototyping of complex mechanical systems.