Bøger udgivet af Society for Industrial & Applied Mathematics,U.S.

A revised textbook for introductory courses in numerical methods, MATLAB and technical computing, which emphasises the use of mathematical software.

The authors provide a comprehensive treatment of stochastic systems from the foundations of probability to stochastic optimal control.

Provides a comprehensive picture of model reduction, combining system theory with numerical linear algebra and computational considerations. It addresses the issue of model reduction and the resulting trade-offs between accuracy and complexity. Special attention is given to numerical aspects, simulation questions, and practical applications.

Shows how modern matrix methods can be applied in data mining and pattern recognition.

Discrete Convex Analysis provides the information that professionals in optimization will need to "catch up" with this new theoretical development.

Now available in English for the first time, Physics and Partial Differential Equations, Volume I bridges physics and applied mathematics in a manner that is easily accessible to readers with an undergraduate-level background in these disciplines.

Provides an enhanced exposition of the long-overlooked Hadamard semidifferential calculus, first introduced in the 1920s by mathematicians Jacques Hadamard and Maurice Rene Frechet. Hadamard semidifferential calculus is possibly the largest family of nondifferentiable functions that retains all the features of classical differential calculus.

Compressed sensing is a relatively recent area of research that refers to the recovery of high-dimensional but low-complexity objects from a limited number of measurements. This book presents significant concepts never before discussed and new advances in the theory, providing an in-depth initiation to the field of compressed sensing.

Interpolatory methods are among the most widely used model reduction techniques. This book is the first comprehensive analysis of this approach available in a single, extensive resource. It covers both classical projection frameworks for model reduction and data-driven, nonintrusive frameworks.

Presents the essential foundations of both the theory and practice of algorithms, approximation, and optimization - essential topics in modern applied and computational mathematics. This material is the introductory framework upon which algorithm analysis, optimization, probability, statistics, machine learning, and control theory are built.

Aiming to reach undergraduate students entering the world of complex variables and analytic functions, this book utilizes graphics to visually build on familiar cases and illustrate how these same functions extend beyond the real axis. It covers several important topics that are omitted in nearly all recent texts.

Provides advice on all aspects of scientific writing, with a particular focus on writing mathematics. The readable style and handy format, coupled with an extensive bibliography and comprehensive index, make this book ideal for everyone from undergraduates to seasoned professionals.

Provides model algorithms and pseudocode, useful tools for users who prefer to write their own code as well as for those who want to understand externally provided code. The book presents algorithms in a step-by-step format, revealing the structure of the underlying procedures, allowing a high-level perspective on the fundamental differences.

Presents an inclusive review of fractional calculus in terms of theory and numerical methods, and systematically examines almost all existing numerical approximations for fractional integrals and derivatives.

The authors present a unified computational methodology for the analysis and synthesis of piecewise affine controllers, taking an approach that is capable of handling sliding modes, sampled-data, and networked systems.

Presents a detailed discussion of both classical and recent results on the popular Cahn-Hilliard equation and some of its variants. The focus is on mathematical analysis of Cahn-Hilliard models, with an emphasis on thermodynamically relevant logarithmic nonlinear terms, for which several questions are still open.

Outlines the main contributions to the field of passive network synthesis and presents new research into the enumerative approach and the classification of networks of restricted complexity. This book serves as both an ideal introduction to the topic and a definitive treatment of the Ladenheim catalogue.

Develops the theory of probability and mathematical statistics with the goal of analysing real-world data. Throughout, the R package is used to compute probabilities, check analytically computed answers, simulate probability distributions, illustrate answers with appropriate graphics, and help students develop intuition surrounding statistics.

Based on first principle quantum mechanics, electronic structure theory is widely used in physics, chemistry, materials science, and related fields. This book provides a self-contained, mathematically oriented introduction to the subject and its associated algorithms and analysis.

How to study the stability of dynamical systems influenced by time delays is a fundamental question. Mastering Frequency Domain Techniques for the Stability Analysis of LTI Time Delay Systems addresses this question for linear time-invariant (LTI) systems with an eigenvalue-based approach built upon frequency domain techniques.

Develops the fundamental skills of numerical analysis: designing numerical methods, implementing them in computer code, and analysing their accuracy and efficiency. A number of mathematical problems - interpolation, integration, linear systems, zero finding, and differential equations - are considered.

Enables the modelling process to be understood as part of STEM studies and research, and taught as a basic tool for problem solving and logical thinking. GAIMME helps define core competencies to include student experiences, and provides direction to enhance maths modelling education at all levels.

Describes reported software failures related to the major topics within scientific computing: mathematical modeling of phenomena; numerical analysis; mathematical aspects and complexity of algorithms, systems, or software; concurrent computing; and numerical data.

Studies of complexity, singularity, and anomaly using nonlocal continuum models are steadily gaining popularity. This monograph provides an introduction to basic analytical, computational, and modelling issues and to some of the latest developments in these areas.

Presents new computational tools for the H8 control of distributed parameter systems in which transfer functions are considered as input-output descriptions for the plants to be controlled. The emphasis is on the computation of the controller parameters and reliable implementation.

Presents the fundamentals of finite element exterior calculus, including the geometrical and functional analysis preliminaries, quickly and in one place. The book is also for mathematicians from areas other than numerical analysis who are interested in understanding how techniques from geometry and topology play a role in numerical PDEs.

Uses modern mathematical tools - algebraic geometry, algebraic combinatorics, and representation theory, among others - to analyse two-dimensional wave patterns. The author's goal is to explain some details of the classification problem of the soliton solutions of the KP equation (or KP solitons) and their applications to shallow water waves.

This concise, practical book provides readers with an easy access point to make the scenario approach understandable to non-experts, and offers an overview of various decision frameworks in which the method can be used. It contains numerous examples and diverse applications from a broad range of domains.

Provides basic, essential knowledge of some of the tools of real analysis: the Hardy-Littlewood maximal operator, the Calderon-Zygmund theory, the Littlewood-Paley theory, interpolation of spaces and operators, and the basics of H1 and BMO spaces. This concise text offers brief proofs and exercises of various difficulties designed to challenge and engage students

Nonlinear matrix equations arise frequently in applied science and engineering. This is the first book to provide a unified treatment of structure-preserving doubling algorithms, which have been recently studied and proven effective for notoriously challenging problems, such as fluid queue theory and vibration analysis for high-speed trains.