Numerical analysis

This book, written by two experts in the field, deals with classes of iterative methods for the approximate solution of fixed points equations for operators satisfying a special contractivity condition, the Fejer property.

This text contains a series of self-contained reviews on the state of the art in different areas of partial differential equations, presented by French mathematicians.

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 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.

This book deals with the reliable verification of the accuracy of approximate solutions which is one of the central problems in modern applied analysis.

The finite-difference solution of mathematical-physics differential equations is carried out in two stages: 1) the writing of the difference scheme (a differ- ence approximation to the differential equation on a grid), 2) the computer solution of the difference equations, which are written in the form of a high- order system of linear algebraic equations of special form (ill-conditioned, band-structured).

This special issue of ZAMP is published to honor Paul M.

The theory of integral equations has been an active research field for many years and is based on analysis, function theory, and functional analysis.

This book contains the historical development of the seminal paper of Adolf Hurwitz, professor in mathematics at ETH (1892~1919), and its impact on other fields.

Computer simulation of semiconductor processing equipment and devices requires the use of a wide variety of numerical methods.

The aim of the present book is to propose a new algebraic approach to the study of norm stability of operator sequences which arise, for example, via discretization of singular integral equations on composed curves.

Inequalities continue to play an essential role in mathematics.

Consisting of 23 refereed contributions, this volume offers a broad and diverse view of current research in control and estimation of partial differential equations.

[Infotext]((Kurztext))These are the proceedings of the 7th International Conference on Hyperbolic Problems, held in Zurich in February 1998.

These notes developed from a course on the numerical solution of conservation laws first taught at the University of Washington in the fall of 1988 and then at ETH during the following spring.

The theory of complex Ginzburg-Landau type phase transition and its applica- tions to superconductivity and superfluidity has been a topic of great interest to theoretical physicists and has been continuously and persistently studied since the 1950s.

This volume contains the Proceedings of the International Workshop Variational Methods For Discontinuous Structures, which was jointly organized by the Dipar- timento di Matematica Francesco Brioschi of Milano Politecnico and the Interna- tional School for Advanced Studies (SISSA) of Trieste.

Multivariate polynomials are a main tool in approximation.

In November 2001 the Mathematical Research Center at Oberwolfach, Germany, hosted the third Conference on Mathematical Models and Numerical Simulation in Electronic Industry.

22 papers on control of nonlinear partial differential equations highlight the area from a broad variety of viewpoints.

Progress in today's high-technology industries is strongly associated with the development of new mathematical tools.

This volume contains a selection from the papers presented at the Fourth European Multigrid Conference, held in Amsterdam, July 6-9,1993.

A well-known and widely applied method of approximating the solutions of problems in mathematical physics is the method of difference schemes.

Hyperbolic partial differential equations describe phenomena of material or wave transport in physics, biology and engineering, especially in the field of fluid mechanics.

The book explores the theory of discrete integrable systems, with an emphasis on the following general problem: how to discretize one or several of independent variables in a given integrable system of differential equations, maintaining the integrability property?

The present monograph is devoted to the construction and investigation of the new high order of accuracy difference schemes of approximating the solutions of regular and singular perturbation boundary value problems for partial differential equations.

Many phenomena of interest for applications are represented by differential equations which are defined in a domain whose boundary is a priori unknown, and is accordingly named a "e;free boundary"e;.

The theory of Laplace transformation is an important part of the mathematical background required for engineers, physicists and mathematicians.

The Fourth Congress of the International Society for Analysis, its Applications and Computation (ISAAC) was held at York University from August 11, 2003 to August 16, 2003.

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.

The current form of modern approximation theory is shaped by many new de- velopments which are the subject of this series of conferences.

Symmetries in dynamical systems, "e;KAM theory and other perturbation theories"e;, "e;Infinite dimensional systems"e;, "e;Time series analysis"e; and "e;Numerical continuation and bifurcation analysis"e; were the main topics of the December 1995 Dynamical Systems Conference held in Groningen in honour of Johann Bernoulli.

Dieses Lehrbuch bietet eine umfassende Darstellung derjenigen Verfahren zur Lösung nichtlinearer Optimierungsprobleme, die nach dem gegen- wärtigen Wissensstand als zuverlässig und effizient gelten.

Many mathematical models of physical, biological and social systems involve partial differential equations (PDEs).

Quaternion and Clifford Fourier and wavelet transformations generalize the classical theory to higher dimensions and are becoming increasingly important in diverse areas of mathematics, physics, computer science and engineering.

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

The book contains reproductions of the most important papers that gave birth to the first developments in nonlinear programming.

Water supply- and drainage systems and mixed water channel systems are networks whose high dynamic is determined and/or affected by consumer habits on drinking water on the one hand and by climate conditions, in particular rainfall, on the other hand.

Many physical processes in fields such as mechanics, thermodynamics, electricity, magnetism or optics are described by means of partial differential equations.