SIAM Spotlights – serie
Visar alla böcker i serien SIAM Spotlights. Handla med fri frakt och snabb leverans.
9 produkter
Numerical Homogenization by Localized Orthogonal Decomposition
Av Axel Målqvist, Daniel Peterseim
Häftad, 2020
597 kr
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This book presents the first survey of the Localized Orthogonal Decomposition (LOD) method, a pioneering approach for the numerical homogenization of partial differential equations with multiscale data beyond periodicity and scale separation. The authors provide a careful error analysis, including …
Preconditioning and the Conjugate Gradient Method in the Context of Solving PDEs
Av Josef Málek, Zdeněk Strakoš
Häftad, 2014
597 kr
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This first title in SIAM’s Spotlights book series is about the interplay between modeling, analysis, discretization, matrix computation, and model reduction. The authors link PDE analysis, functional analysis, and calculus of variations with matrix iterative computation using Krylov subspace …
Active Subspaces
Emerging Ideas for Dimension Reduction in Parameter Studies
Häftad, 2015
597 kr
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Scientists and engineers use computer simulations to study relationships between a model's input parameters and its outputs. However, thorough parameter studies are challenging, if not impossible, when the simulation is expensive and the model has several inputs. To enable studies in these …
Iterative Solution of Symmetric Quasi-Definite Linear Systems
Av Dominique Orban, Mario Arioli
Häftad, 2017
597 kr
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Numerous applications, including computational optimization and fluid dynamics, give rise to block linear systems of equations said to have the quasi-definite structure. In practical situations, the size or density of those systems can preclude a factorization approach, leaving only iterative …
Mathematical Introduction to Electronic Structure Theory
Av Lin Lin, Jianfeng Lu
Häftad, 2019
597 kr
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Based on first principle quantum mechanics, electronic structure theory is widely used in physics, chemistry, materials science, and related fields and has recently received increasing research attention in applied and computational mathematics. This book provides a self-contained, mathematically …
Error Norm Estimation in the Conjugate Gradient Algorithm
Häftad, 2024
597 kr
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The conjugate gradient (CG) algorithm is almost always the iterative method of choice for solving linear systems with symmetric positive definite matrices. This book describes and analyzes techniques based on Gauss quadrature rules to cheaply compute bounds on norms of the error. The techniques can …
Pole-Swapping Algorithms for the Eigenvalue Problem
Av Daan Camps, Thomas Mach m. fl.
Häftad, 2025
597 kr
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Matrix eigenvalue problems arise in a wide variety of fields in science and engineering, so it is important to have reliable and efficient methods for solving them. Of the methods devised, bulge-chasing algorithms, such as the famous QR and QZ algorithms, are the most important. This book focuses …
Anderson Acceleration for Numerical PDEs
Av Sara Pollock, Leo G. Rebholz
Häftad, 2025
668 kr
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Research on the Anderson Acceleration (AA) has exploded in the last 15 years. This book brings together these recent fundamental results applied to nonlinear solvers for PDEs, which are ubiquitous across mathematics, science, engineering, and economics as predictive models for a vast quantity of …
Consensus and Synchronization
From the Euclidean Space and the Circle to Lie Groups
Av Seshan Chandrasekaran, Ravi N. Banavar m. fl.
Häftad, 2026
668 kr
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Coordination, consensus, and synchronization are found in diverse natural phenomena and engineering applications. Examples are flocking birds, illuminating fireflies, a school of fish, and distributed control and sensing. The simplest of such problems are set in the Euclidean spaces and the circle. …
