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  • A Concise Introduction to Geometric Numerical Integration

    “This book is highly recommended for graduate students, postgraduate researchers, and researchers interested in beginning study in the field of geometric numerical integration."—Mathematical Reviews***A Concise Introduction to Geometric Numerical Integration, Second Edition***presents the main themes, techniques, and applications of geometric integrators for researchers in mathematics, physics, ... Read more

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  • Advances in Differential Equations and Applications

    Series series Mathematics and Statistics (R0)
    The book contains a selection of contributions given at the 23th Congress on Differential Equations and Applications (CEDYA) / 13th Congress of Applied Mathematics (CMA) that took place at Castellon, Spain, in 2013. CEDYA is renowned as the congress of the Spanish Society of Applied Mathematics (SEMA) and constitutes the main forum and meeting point for applied mathematicians in Spain. The papers ... Read more

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    Series series Springer Nature Proceedings excluding Computer Science
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  • Advances in Iterative Methods for Nonlinear Equations

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    This book focuses on the approximation of nonlinear equations using iterative methods. Nine contributions are presented on the construction and analysis of these methods, the coverage encompassing convergence, efficiency, robustness, dynamics, and applications. Many problems are stated in the form of nonlinear equations, using mathematical modeling. In particular, a wide range of problems in ... Read more

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  • Attractors Under Discretisation

    Series series Mathematics and Statistics (R0)
    This work focuses on the preservation of attractors and saddle points of ordinary differential equations under discretisation. In the 1980s, key results for autonomous ordinary differential equations were obtained – by Beyn for saddle points and by Kloeden & Lorenz for attractors. One-step numerical schemes with a constant step size were considered, so the resulting discrete time dynamical system ... Read more

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  • The Parameterization Method for Invariant Manifolds

    From Rigorous Results to Effective Computations

    Series series Mathematics and Statistics (R0)
    This monograph presents some theoretical and computational aspects of the parameterization method for invariant manifolds, focusing on the following contexts: invariant manifolds associated with fixed points, invariant tori in quasi-periodically forced systems, invariant tori in Hamiltonian systems and normally hyperbolic invariant manifolds. This book provides algorithms of computation and some ... Read more

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  • Hamilton-Jacobi Equations: Approximations, Numerical Analysis and Applications

    Cetraro, Italy 2011, Editors: Paola Loreti, Nicoletta Anna Tchou

    Series series Mathematics and Statistics (R0)
    These Lecture Notes contain the material relative to the courses given at the CIME summer school held in Cetraro, Italy from August 29 to September 3, 2011. The topic was "Hamilton-Jacobi Equations: Approximations, Numerical Analysis and Applications". The courses dealt mostly with the following subjects: first order and second order Hamilton-Jacobi-Bellman equations, properties of viscosity ... Read more

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  • Lectures on Constructive Approximation

    Fourier, Spline, and Wavelet Methods on the Real Line, the Sphere, and the Ball

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    Lectures on Constructive Approximation: Fourier, Spline, and Wavelet Methods on the Real Line, the Sphere, and the Ball focuses on spherical problems as they occur in the geosciences and medical imaging. It comprises the author’s lectures on classical approximation methods based on orthogonal polynomials and selected modern tools such as splines and wavelets.Methods for approximating functions on ... Read more

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  • A textbook on Ordinary Differential Equations

    Series series Mathematics and Statistics (R0)
    The book is a primer of the theory of Ordinary Differential Equations. Each chapter is completed by a broad set of exercises; the reader will also find a set of solutions of selected exercises. The book contains many interesting examples as well (like the equations for the electric circuits, the pendulum equation, the logistic equation, the Lotka-Volterra system, and many other) which introduce ... Read more

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  • Topology, Calculus and Approximation

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    Presenting basic results of topology, calculus of several variables, and approximation theory which are rarely treated in a single volume, this textbook includes several beautiful, but almost forgotten, classical theorems of Descartes, Erdős, Fejér, Stieltjes, and Turán.The exposition style of Topology, Calculus and Approximation follows the Hungarian mathematical tradition of Paul Erdős and ... Read more

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  • Integral Methods in Science and Engineering, Volume 1

    Theoretical Techniques

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    This contributed volume contains a collection of articles on the most recent advances in integral methods. The first of two volumes, this work focuses on the construction of theoretical integral methods. Written by internationally recognized researchers, the chapters in this book are based on talks given at the Fourteenth International Conference on Integral Methods in Science and Engineering, ... Read more

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  • Approximation with Positive Linear Operators and Linear Combinations

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    This book presents a systematic overview of approximation by linear combinations of positive linear operators, a useful tool used to increase the order of approximation. Fundamental and recent results from the past decade are described with their corresponding proofs. The volume consists of eight chapters that provide detailed insight into the representation of monomials of the operators Ln , ... Read more

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