Numerical analysis

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.

Inequalities arise as an essential component in various mathematical areas.

This special volume focuses on optimization and control of processes governed by partial differential equations.

This textbook presents basic notions and techniques of Fourier analysis in discrete settings.

This two-volume work presents a systematic theoretical and computational study of several types of generalizations of separable matrices.

This two-volume work presents a systematic theoretical and computational study of several types of generalizations of separable matrices.

In this monograph, we combine operator techniques with state space methods to solve factorization, spectral estimation, and interpolation problems arising in control and signal processing.

The purpose of the volume is to bring forward recent trends of research in hypercomplex analysis.

Filtering is the science of nding the law of a process given a partial observation of it.

This book constitutes the refereed proceedings of the 29th International Symposium on String Processing and Information Retrieval, SPIRE 2022, held in Concepcion, Chile, in November 2022.

This book constitutes thoroughly refereed and revised selected best and visionary papers from the Workshops held at the International Conference on Autonomous Agents and Multiagent Systems AAMAS 2022, which took place online, during  May 9-13, 2022.

This book constitutes the proceedings of the 4th Iberoamerican Conference and third Indo-American Conference on Knowledge Graphs and Semantic Web, KGSWC 2022, which took place in Madrid, Spain, in November 2022.

This book constitutes thoroughly refereed and revised selected papers from the 7th International Symposium on Combinatorial Optimization, ISCO 2022, which was held online during May 18-20, 2022.

This book constitutes revised selected papers from the thoroughly refereed workshop proceedings of the 20th International Workshop on Approximation and Online Algorithms, WAOA 2022, which was colocated with ALGO 2022 and took place in Potsdam, Germany, in September 2022.

This LNCS 13453 constitutes the thoroughly refereed proceedings of the 48th International Workshop on Graph-Theoretic Concepts in Computer Science, WG 2022.

This volume gathers select proceedings of the 10th International Conference on Wave Mechanics and Vibrations (WMVC), held in Lisbon, Portugal, on July 4-6, 2022.

The book provides an introduction to common programming tools and methods in numerical mathematics and scientific computing.

This book presents the results of experimental and theoretical studies of the destruction of solids under impact, explosion, high pressures, and strain rates.