Splines And Pdes From Approximation Theory To Numerical Linear Algebra
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Splines And Pdes From Approximation Theory To Numerical Linear Algebra
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Author : Angela Kunoth
language : en
Publisher: Springer
Release Date : 2018-09-20
Splines And Pdes From Approximation Theory To Numerical Linear Algebra written by Angela Kunoth and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-09-20 with Mathematics categories.
This book takes readers on a multi-perspective tour through state-of-the-art mathematical developments related to the numerical treatment of PDEs based on splines, and in particular isogeometric methods. A wide variety of research topics are covered, ranging from approximation theory to structured numerical linear algebra. More precisely, the book provides (i) a self-contained introduction to B-splines, with special focus on approximation and hierarchical refinement, (ii) a broad survey of numerical schemes for control problems based on B-splines and B-spline-type wavelets, (iii) an exhaustive description of methods for computing and analyzing the spectral distribution of discretization matrices, and (iv) a detailed overview of the mathematical and implementational aspects of isogeometric analysis. The text is the outcome of a C.I.M.E. summer school held in Cetraro (Italy), July 2017, featuring four prominent lecturers with different theoretical and application perspectives. The book may serve both as a reference and an entry point into further research.
Approximation Theory And Numerical Analysis Meet Algebra Geometry Topology
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Author : Martina Lanini
language : en
Publisher: Springer Nature
Release Date : 2024-12-22
Approximation Theory And Numerical Analysis Meet Algebra Geometry Topology written by Martina Lanini and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-12-22 with Mathematics categories.
The book, based on the INdAM Workshop "Approximation Theory and Numerical Analysis Meet Algebra, Geometry, Topology" provides a bridge between different communities of mathematicians who utilize splines in their work. Splines are mathematical objects which allow researchers in geometric modeling and approximation theory to tackle a wide variety of questions. Splines are interesting for both applied mathematicians, and also for those working in purely theoretical mathematical settings. This book contains contributions by researchers from different mathematical communities: on the applied side, those working in numerical analysis and approximation theory, and on the theoretical side, those working in GKM theory, equivariant cohomology and homological algebra.
Recent Developments In Spectral And Approximation Theory
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Author : Noufal Asharaf
language : en
Publisher: Springer Nature
Release Date : 2025-07-26
Recent Developments In Spectral And Approximation Theory written by Noufal Asharaf and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-07-26 with Mathematics categories.
This book is a collection of recent developments in spectral and approximation theory. The results collected here were presented at the International Conference on Spectral and Approximation Theory (ICSAT-2023) which took place at Cochin University of Science and Technology in Kerala, India. The conference ICSAT-2023 focuses on two significant areas in mathematics: spectral theory and approximation theory.
Advanced Methods For Geometric Modeling And Numerical Simulation
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Author : Carlotta Giannelli
language : en
Publisher: Springer Nature
Release Date : 2019-09-18
Advanced Methods For Geometric Modeling And Numerical Simulation written by Carlotta Giannelli and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-09-18 with Mathematics categories.
This book gathers selected contributions presented at the INdAM Workshop “DREAMS”, held in Rome, Italy on January 22−26, 2018. Addressing cutting-edge research topics and advances in computer aided geometric design and isogeometric analysis, it covers distinguishing curve/surface constructions and spline models, with a special focus on emerging adaptive spline constructions, fundamental spline theory and related algorithms, as well as various aspects of isogeometric methods, e.g. efficient quadrature rules and spectral analysis for isogeometric B-spline discretizations. Applications in finite element and boundary element methods are also discussed. Given its scope, the book will be of interest to both researchers and graduate students working in these areas.
Fractional Differential Equations
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Author : Angelamaria Cardone
language : en
Publisher: Springer Nature
Release Date : 2023-06-16
Fractional Differential Equations written by Angelamaria Cardone and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-06-16 with Mathematics categories.
The content of the book collects some contributions related to the talks presented during the INdAM Workshop "Fractional Differential Equations: Modelling, Discretization, and Numerical Solvers", held in Rome, Italy, on July 12–14, 2021. All contributions are original and not published elsewhere. The main topic of the book is fractional calculus, a topic that addresses the study and application of integrals and derivatives of noninteger order. These operators, unlike the classic operators of integer order, are nonlocal operators and are better suited to describe phenomena with memory (with respect to time and/or space). Although the basic ideas of fractional calculus go back over three centuries, only in recent decades there has been a rapid increase in interest in this field of research due not only to the increasing use of fractional calculus in applications in biology, physics, engineering, probability, etc., but also thanks to the availability of new and more powerful numerical tools that allow for an efficient solution of problems that until a few years ago appeared unsolvable. The analytical solution of fractional differential equations (FDEs) appears even more difficult than in the integer case. Hence, numerical analysis plays a decisive role since practically every type of application of fractional calculus requires adequate numerical tools. The aim of this book is therefore to collect and spread ideas mainly coming from the two communities of numerical analysts operating in this field - the one working on methods for the solution of differential problems and the one working on the numerical linear algebra side - to share knowledge and create synergies. At the same time, the book intends to realize a direct bridge between researchers working on applications and numerical analysts. Indeed, the book collects papers on applications, numerical methods for differential problems of fractional order, and related aspects in numerical linear algebra. The target audience of the book is scholars interested in recent advancements in fractional calculus.
Modeling Time Varying Unconditional Variance By Means Of A Free Knot Spline Garch Model
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Author : Oliver Old
language : en
Publisher: Springer Nature
Release Date : 2022-07-27
Modeling Time Varying Unconditional Variance By Means Of A Free Knot Spline Garch Model written by Oliver Old and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-07-27 with Business & Economics categories.
The book addresses the problem of a time-varying unconditional variance of return processes utilizing a spline function. The knots of the spline functions are estimated as free parameters within a joined estimation process together with the parameters of the mean, the conditional variance and the spline function. With the help of this method, the knots are placed in regions where the unconditional variance is not smooth. The results are tested within an extensive simulation study and an empirical study employing the S&P500 index.
Bi Directionality In Human Ai Collaborative Systems
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Author : William Lawless
language : en
Publisher: Academic Press
Release Date : 2025-06-11
Bi Directionality In Human Ai Collaborative Systems written by William Lawless and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-06-11 with Computers categories.
Bi-directionality in Human-AI Collaborative Systems investigates the foundations, metrics, and applications of human-machine systems, along with the legal ramifications of autonomy, including standards, trust by the public, and bidirectional trust by users and AI systems. The book addresses the challenges in creating synergistic human and AI-based autonomous system-of-systems by focusing on the underlying challenges associated with bi-directionality. Chapters cover advances in LLMs, logic, machine learning choices, the development of standards, as well as human-centered approaches to autonomous human-machine teams. This is a valuable resource for world-class researchers and engineers who are theorizing on, designing, and developing autonomous systems.It will also be useful for government scientists, business leaders, social scientists, philosophers, regulators and legal experts interested in the impact of autonomous human-machine teams and systems. - Investigates the challenges in creating synergistic human and AI-based autonomous system-of-systems - Integrates concepts from a wide range of disciplines, including applied and theoretical AI, quantum mechanics, social sciences, and systems engineering - Presents debates, models, and concepts of mutual dependency for autonomous human-machine teams, challenging assumptions across AI, systems engineering, data science, and quantum mechanics
Open Source Software For Neurodata Curation And Analysis
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Author : William T. Katz
language : en
Publisher: Frontiers Media SA
Release Date : 2022-07-06
Open Source Software For Neurodata Curation And Analysis written by William T. Katz and has been published by Frontiers Media SA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-07-06 with Science categories.
Isogeometric Analysis A New Paradigm In The Numerical Approximation Of Pdes
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Author : Annalisa Buffa
language : en
Publisher: Springer
Release Date : 2016-10-05
Isogeometric Analysis A New Paradigm In The Numerical Approximation Of Pdes written by Annalisa Buffa and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-10-05 with Mathematics categories.
Providing an introduction to isogeometric methods with a focus on their mathematical foundations, this book is composed of four chapters, each devoted to a topic of special interests for isogeometric methods and their theoretical understanding. It contains a tutorial on splines and generalizations that are used in CAD parametrizations, and gives an overview of geometric modeling techniques that can be used within the isogeometric approach, with a focus on non-tensor product splines. Finally, it presents the mathematical properties of isogeometric spaces and spline spaces for vector field approximations, and treats in detail an application of fundamental importance: the isogeometric simulation of a viscous incompressible flow. The contributions were written by Carla Manni and Hendrik Speelers, Vibeke Skytt and Tor Dokken, Lourenco Beirao da Veiga, Annalisa Buffa, Giancarlo Sangalli and Rafael Vazquez, and finally by John Evans and Thomas J.R. Hughes.
Reviews In Numerical Analysis 1980 86
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Author :
language : en
Publisher:
Release Date : 1987
Reviews In Numerical Analysis 1980 86 written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with Mathematics categories.
These five volumes bring together a wealth of bibliographic information in the area of numerical analysis. Containing over 17,600 reviews of articles, books, and conference proceedings, these volumes represent all the numerical analysis entries that appeared in Mathematical Reviews between 1980 and 1986. Author and key indexes appear at the end of volume 5.