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  • Direct Methods for Sparse Matrices

    Series series Numerical Mathematics and Scientific Computation
    The subject of sparse matrices has its root in such diverse fields as management science, power systems analysis, surveying, circuit theory, and structural analysis. Efficient use of sparsity is a key to solving large problems in many fields. This second edition is a complete rewrite of the first edition published 30 years ago. Much has changed since that time. Problems have grown greatly in size ... Read more

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  • An Elementary Treatise On Fourier's Series (Differential Calculus)

    An Elementary Treatise On Fourier's Series (Differential Calculus) and Spherical, Cylindrical, and Ellipsoidal Harmonics, With Applications To Problems In Mathematical Physics.By William Elwood Byerly, Ph.D.,Professor Of Mathematics In Harvard University~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~A Fourier series is a specific type of infinite mathematical series involvi... ... Read more

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  • Quantum Waveguides

    Series series Physics and Astronomy (R0)
    This monograph explains the theory of quantum waveguides, that is, dynamics of quantum particles confined to regions in the form of tubes, layers, networks, etc. The focus is on relations between the confinement geometry on the one hand and the spectral and scattering properties of the corresponding quantum Hamiltonians on the other. Perturbations of such operators, in particular, by external ... Read more

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  • Multiple Shooting and Time Domain Decomposition Methods

    MuS-TDD, Heidelberg, May 6-8, 2013

    Series series Springer Nature Proceedings excluding Computer Science
    This book offers a comprehensive collection of the most advanced numerical techniques for the efficient and effective solution of simulation and optimization problems governed by systems of time-dependent differential equations. The contributions present various approaches to time domain decomposition, focusing on multiple shooting and parareal algorithms.The range of topics covers theoretical ... Read more

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  • Advances in Computer Algebra

    In Honour of Sergei Abramov's' 70th Birthday, WWCA 2016, Waterloo, Ontario, Canada

    Series series Springer Nature Proceedings excluding Computer Science
    This book discusses the latest advances in algorithms for symbolic summation, factorization, symbolic-numeric linear algebra and linear functional equations. It presents a collection of papers on original research topics from the Waterloo Workshop on Computer Algebra (WWCA-2016), a satellite workshop of the International Symposium on Symbolic and Algebraic Computation (ISSAC’2016), which was held ... Read more

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  • The Convergence Problem for Dissipative Autonomous Systems

    Classical Methods and Recent Advances

    Series series Mathematics and Statistics (R0)
    The book investigates classical and more recent methods of study for the asymptotic behavior of dissipative continuous dynamical systems with applications to ordinary and partial differential equations, the main question being convergence (or not) of the solutions to an equilibrium. After reviewing the basic concepts of topological dynamics and the definition of gradient-like systems on a metric ... Read more

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  • Equations Involving Malliavin Calculus Operators

    Applications and Numerical Approximation

    Series series Mathematics and Statistics (R0)
    This book provides a comprehensive and unified introduction to stochastic differential equations and related optimal control problems. The material is new and the presentation is reader-friendly. A major contribution of the book is the development of generalized Malliavin calculus in the framework of white noise analysis, based on chaos expansion representation of stochastic processes and its ... Read more

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  • Stochastic Control Theory

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    Series Book 72 - Probability Theory and Stochastic Modelling
    This book offers a systematic introduction to the optimal stochastic control theory via the dynamic programming principle, which is a powerful tool to analyze control problems.First we consider completely observable control problems with finite horizons. Using a time discretization we construct a nonlinear semigroup related to the dynamic programming principle (DPP), whose generator provides the ... Read more

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  • Operator-Related Function Theory and Time-Frequency Analysis

    The Abel Symposium 2012

    Series series Springer Nature Proceedings excluding Computer Science
    This book collects the proceedings of the 2012 Abel Symposium, held at the Norwegian Academy of Science and Letters, Oslo. The Symposium, and this book, are focused on two important fields of modern mathematical analysis: operator-related function theory and time-frequency analysis; and the profound interplay between them.Among the original contributions and overview lectures gathered here are a ... Read more

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  • Variational Methods with Applications in Science and Engineering

    There is a resurgence of applications in which the calculus of variations has direct relevance. In addition to application to solid mechanics and dynamics, it is now being applied in a variety of numerical methods, numerical grid generation, modern physics, various optimization settings and fluid dynamics. Many applications, such as nonlinear optimal control theory applied to continuous systems, ... Read more

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  • Analysis and Geometry of Markov Diffusion Operators

    Series series Mathematics and Statistics (R0)
    The present volume is an extensive monograph on the analytic and geometric aspects of Markov diffusion operators. It focuses on the geometric curvature properties of the underlying structure in order to study convergence to equilibrium, spectral bounds, functional inequalities such as Poincaré, Sobolev or logarithmic Sobolev inequalities, and various bounds on solutions of evolution equations. At ... Read more

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  • Generalized Solutions of Operator Equations and Extreme Elements

    Series series Mathematics and Statistics (R0)
    Abstract models for many problems in science and engineering take the form of an operator equation. The resolution of these problems often requires determining the existence and uniqueness of solutions to these equations. "Generalized Solutions of Operator Equations and Extreme Elements" presents recently obtained results in the study of the generalized solutions of operator equations and extreme ... Read more

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