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

A survey of mathematical models useful in solving reliability problems.

Provides a modern view of iterative methods for solving linear and nonlinear equations, which are the basis for many of the models of phenomena in science and engineering. The text provides motivating examples mainly from boundary value problems with partial differential equations, and many of the chapters contain links to MATLAB code.

A state-of-the-art study of the techniques used for designing curves and surfaces for computer-aided design applications.

The author captures the interplay between mathematics and the design of effective numerical algorithms - a critical connection as more advanced machines become available. He uses a stylized Matlab notation which will be familiar to those engaged in high-performance computing.

This is one of the first texts in which electro-diffusion of ions in its different aspects is considered as a unified subject. It treats a selection of topics in electro-diffusion of ions in an aqueous medium - a nonlinear transport process whose essence is diffusion of ions combined with their migration in a selfconsistent electric field.

A carefully edited collection of papers that addresses the development of multigrid methods on several levels.

This guide supports both the casual user of LINPACK who simply requires a library subroutine, and the specialist who wishes to modify or extend the code to handle special problems. It is also recommended for classroom work.

This volume reviews, in the context of partial differential equations, algorithm development that has been specifically aimed at computers that exhibit some form of parallelism. Emphasis is on the solution of PDEs because these are typically the problems that generate high computational demands.

Topics include: ways modern statistical procedures can yield estimates of pi more precisely than the original Buffon procedure traditionally used; the question of density and measure for random geometric elements that leave probability and expectation statements invariant under translation and rotation; and much more.

Provides a unified discussion of the formulation and analysis of special methods of mixed initial boundary-value problems. The focus is on the development of a new mathematical theory that explains why and how well spectral methods work. Included are interesting extensions of the classical numerical analysis.

Presents an easily-accessible discussion of analytical methods of applied mathematics from vector spaces to distributions, Fourier analysis, and Hardy spaces with applications to system theory; and an introduction to modern functional analytic methods to better familiarize readers with basic methods and mathematical thinking.

A comprehensive guide to practical and theoretic aspects of assignment problems, suitable for researchers and practitioners.

Describes new weighted approximation techniques, combining the computational advantages of B-splines and standard finite elements.

This textbook introduces fundamental concepts of numerical linear algebra and their application to solving certain numerical problems arising in state-space control and systems theory. It is written for advanced undergraduate and beginning graduate students.

A comprehensive guide for the numerical solution of PDEs using C++ for students, engineers and researchers. Includes reader-friendly code.

This primarily undergraduate textbook focuses on finite-dimensional optimization. It offers an original and well integrated treatment of semidifferential calculus and optimization, with an emphasis on the Hadamard subdifferential, introduced at the beginning of the 20th century and somewhat overlooked for many years

Focusing on high-end modeling and simulation of earth's climate, this book presents observations about the general circulations of the earth and the partial differential equations used to model the dynamics of weather and climate and covers numerical methods for geophysical flows in more detail than many other texts.

Solving Transcendental Equations is unique in that it is the first book to describe the Chebyshev-proxy rootfinder, which is the most reliable way to find all zeros of a smooth function on the interval, and the very reliable spectrally enhanced Weyl bisection/marching triangles method for bivariate rootfinding.

A collection of projects to help graduate students in mathematics and the sciences develop and hone their scientific computing skills.

Originally published in 1988, this book deals with identification (in the sense of obtaining a model from data) of multi-input and multi-output linear systems, in particular systems in ARMAX and state space form.

A concise and comprehensive treatment of the basic theory of algebraic Riccati equations.

This book provides a bridge between continuous optimization and PDE modelling.

Provides a self-contained, accessible introduction to the mathematical advances and challenges resulting from the use of semidefinite programming in polynomial optimization. This quickly evolving research area with contributions from the diverse fields of convex geometry, algebraic geometry, and optimization is known as convex algebraic geometry.

A textbook that covers mathematical modeling at a range of scales from a computational viewpoint, suitable for advanced undergraduates.

Offers students a practical knowledge of modern techniques in scientific computing.

Classic textbook providing a unified treatment of spectral approximation for closed or bounded operators as well as for matrices.

Partial differential equations (PDEs) are essential for modelling many physical phenomena. This undergraduate textbook introduces students to the topic with a unique approach that emphasizes the modern finite element method alongside the classical method of Fourier analysis.

Originally published in 1988, this enduring text remains the most comprehensive book on generalized convexity and concavity. The authors present generalized concave functions in a unified framework, exploring them primarily from the domains of optimization and economics.

A concise introduction to the mathematical theory of supply chain networks, focusing on those described by partial differential equations.

An important exposition of the geometric properties of sets generated by random fields.