A Software Repository for Gaussian Quadratures and Christoffel Functions
by Walter Gautschi
This companion piece to the author's 2018 book, A Software Repository for Orthogonal Polynomials, focuses on Gaussian quadrature and the related Christoffel function. The book makes Gauss quadrature rules of any order easily accessible for a large variety of weight functions and for arbitrary precision. It also documents and illustrates known as well as original approximations for Gauss quadrature weights and Christoffel functions. The repository contains 60 datasets, each dealing with a parti...
Dynamical Systems and Numerical Analysis
Five Nights at Freddy's Grid Notebook Graph Paper Notebook
by Funny Notebook
Computational Methods and Experimental Measurements XIX In its 19th year the International Conference on Computational Methods and Experimental Measurements continues to provide highest quality research which forms this book. This volume examines a wide variety of topics related to new experimental and computational methods. The continuous improvement in computer efficiency, coupled with diminishing costs and the rapid development of numerical procedures have generated an ever-increasing exp...
Advances in Boundary Elements
Inverse problems need to be solved in order to properly interpret indirect measurements. Often, inverse problems are ill-posed and sensitive to data errors. Therefore one has to incorporate some sort of regularization to reconstruct significant information from the given data. This book presents the main achievements that have emerged in regularization theory over the past 50 years, focusing on linear ill-posed problems and the development of methods that can be applied to them. Some of this ma...
Introduction to the Variational Formulation in Mechanics
by Edgardo O. Taroco, Pablo J. Blanco, and Raul A. Feijoo
Introduces readers to the fundamentals and applications of variational formulations in mechanics Nearly 40 years in the making, this book provides students with the foundation material of mechanics using a variational tapestry. It is centered around the variational structure underlying the Method of Virtual Power (MVP). The variational approach to the modeling of physical systems is the preferred approach to address complex mathematical modeling of both continuum and discrete media. This book pr...
Summability Methods for the Inversion of the Spherical Mean Operator (Berichte aus der Mathematik)
by Ruben Seyfried
Analysis underpins calculus, much as calculus underpins virtually all mathematical sciences. A sound understanding of analysis' results and techniques is therefore valuable for a wide range of disciplines both within mathematics itself and beyond its traditional boundaries. This text seeks to develop such an understanding for undergraduate students on mathematics and mathematically related programmes. Keenly aware of contemporary students' diversity of motivation, background knowledge and time p...
Unifies existing and emerging concepts concerning multi-objective control and stochastic control with engineering-oriented phenomenaEstablishes a unified theoretical framework for control and filtering problems for a class of discrete-time nonlinear stochastic systems with consideration to performanceIncludes case studies of several nonlinear stochastic systemsInvestigates the phenomena of incomplete information, including missing/degraded measurements, actuator failures and sensor saturationsCo...
Numerical Control: Part A (Handbook of Numerical Analysis)
Numerical Control: Part A, Volume 23 in the Handbook of Numerical Analysis series, highlights new advances in the field, with this new volume presenting interesting chapters written by an international board of authors. Chapters in this volume include Numerics for finite-dimensional control systems, Moments and convex optimization for analysis and control of nonlinear PDEs, The turnpike property in optimal control, Structure-Preserving Numerical Schemes for Hamiltonian Dynamics, Optimal Control...
A self-contained, elementary introduction to wavelet theory and applications Exploring the growing relevance of wavelets in the field of mathematics, Wavelet Theory: An Elementary Approach with Applications provides an introduction to the topic, detailing the fundamental concepts and presenting its major impacts in the world beyond academia. Drawing on concepts from calculus and linear algebra, this book helps readers sharpen their mathematical proof writing and reading skills through interestin...
Boundary Element Technology (Boundary Elements, v. 3) (Computational Engineering S.)
This book contains the proceedings of the Twelfth International Conference on Boundary Element Technology.
Shock Formation in Small-Data Solutions to 3D Quasilinear Wave Equations (Mathematical Surveys and Monographs)
by Jared Speck
In 1848 James Challis showed that smooth solutions to the compressible Euler equations can become multivalued, thus signifying the onset of a shock singularity. Today it is known that, for many hyperbolic systems, such singularities often develop. However, most shock-formation results have been proved only in one spatial dimension. Serge Alinhac's groundbreaking work on wave equations in the late 1990s was the first to treat more than one spatial dimension. In 2007, for the compressible Euler eq...