Lattice Rules
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Lattice Rules
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Author : Josef Dick
language : en
Publisher: Springer
Release Date : 2023-07-24
Lattice Rules written by Josef Dick and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-07-24 with Mathematics categories.
Lattice rules are a powerful and popular form of quasi-Monte Carlo rules based on multidimensional integration lattices. This book provides a comprehensive treatment of the subject with detailed explanations of the basic concepts and the current methods used in research. This comprises, for example, error analysis in reproducing kernel Hilbert spaces, fast component-by-component constructions, the curse of dimensionality and tractability, weighted integration and approximation problems, and applications of lattice rules.
Lattice Rules
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Author : Josef Dick
language : en
Publisher: Springer Nature
Release Date : 2022-08-24
Lattice Rules written by Josef Dick and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-08-24 with Mathematics categories.
Lattice rules are a powerful and popular form of quasi-Monte Carlo rules based on multidimensional integration lattices. This book provides a comprehensive treatment of the subject with detailed explanations of the basic concepts and the current methods used in research. This comprises, for example, error analysis in reproducing kernel Hilbert spaces, fast component-by-component constructions, the curse of dimensionality and tractability, weighted integration and approximation problems, and applications of lattice rules.
Lattice Methods For Multiple Integration
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Author : I. H. Sloan
language : en
Publisher: Oxford University Press
Release Date : 1994
Lattice Methods For Multiple Integration written by I. H. Sloan and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Mathematics categories.
This is the first book devoted to lattice methods, a recently developed way of calculating multiple integrals in many variables. Multiple integrals of this kind arise in fields such as quantum physics and chemistry, statistical mechanics, Bayesian statistics and many others. Lattice methods are an effective tool when the number of integrals are large. The book begins with a review of existing methods before presenting lattice theory in a thorough, self-contained manner, with numerous illustrations and examples. Group and number theory are included, but the treatment is such that no prior knowledge is needed. Not only the theory but the practical implementation of lattice methods is covered. An algorithm is presented alongside tables not available elsewhere, which together allow the practical evaluation of multiple integrals in many variables. Most importantly, the algorithm produces an error estimate in a very efficient manner. The book also provides a fast track for readers wanting to move rapidly to using lattice methods in practical calculations. It concludes with extensive numerical tests which compare lattice methods with other methods, such as the Monte Carlo.
Computational Intelligence Based On Lattice Theory
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Author : Vassilis G. Kaburlasos
language : en
Publisher: Springer
Release Date : 2007-06-26
Computational Intelligence Based On Lattice Theory written by Vassilis G. Kaburlasos and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-06-26 with Computers categories.
This eighteen-chapter book presents the latest applications of lattice theory in Computational Intelligence (CI). The book focuses on neural computation, mathematical morphology, machine learning, and (fuzzy) inference/logic. The book comes out of a special session held during the World Council for Curriculum and Instruction World Conference (WCCI 2006). The articles presented here demonstrate how lattice theory may suggest viable alternatives in practical clustering, classification, pattern analysis, and regression applications.
The Direct Sum Of Lattice Rules
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Author : Stephen Joe
language : en
Publisher:
Release Date : 1994
The Direct Sum Of Lattice Rules written by Stephen Joe and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Lattice theory categories.
Applied Analysis And Differential Equations
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Author : Ovidiu Carja
language : en
Publisher: World Scientific
Release Date : 2007-03-27
Applied Analysis And Differential Equations written by Ovidiu Carja and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-03-27 with Mathematics categories.
This volume contains refereed research articles written by experts in the field of applied analysis, differential equations and related topics. Well-known leading mathematicians worldwide and prominent young scientists cover a diverse range of topics, including the most exciting recent developments.A broad range of topics of recent interest are treated: existence, uniqueness, viability, asymptotic stability, viscosity solutions, controllability and numerical analysis for ODE, PDE and stochastic equations. The scope of the book is wide, ranging from pure mathematics to various applied fields such as classical mechanics, biomedicine, and population dynamics.
Lattice Gas Methods For Partial Differential Equations
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Author : Gary Doolen
language : en
Publisher: CRC Press
Release Date : 2019-03-01
Lattice Gas Methods For Partial Differential Equations written by Gary Doolen and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-03-01 with Mathematics categories.
Although the idea of using discrete methods for modeling partial differential equations occurred very early, the actual statement that cellular automata techniques can approximate the solutions of hydrodynamic partial differential equations was first discovered by Frisch, Hasslacher, and Pomeau. Their description of the derivation, which assumes the validity of the Boltzmann equation, appeared in the Physical Review Letters in April 1986. It is the intent of this book to provide some overview of the directions that lattice gas research has taken from 1986 to early 1989.
Rule Based Reasoning Programming And Applications
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Author : Nick Bassiliades
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-07-12
Rule Based Reasoning Programming And Applications written by Nick Bassiliades and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-07-12 with Computers categories.
This book constitutes the refereed proceedings of the 5th International Symposium on Rules, RuleML 2011 - Europe, held in Barcelona, Spain, in July 2011 - collocated with the 22nd International Joint Conference on Artificial Intelligence, IJCAI 2011. It is the first of two RuleML events that take place in 2011. The second RuleML Symposium - RuleML 2011 - America - will be held in Fort Lauderdale, FL, USA, in November 2011. The 18 revised full papers, 8 revised short papers and 3 invited track papers presented together with the abstracts of 2 keynote talks were carefully reviewed and selected from 58 submissions. The papers are organized in the following topical sections: rule-based distributed/multi-agent systems; rules, agents and norms; rule-based event processing and reaction rules; fuzzy rules and uncertainty; rules and the semantic Web; rule learning and extraction; rules and reasoning; and rule-based applications.
Planning Within Complex Urban Systems
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Author : Shih-Kung Lai
language : en
Publisher: Routledge
Release Date : 2020-12-18
Planning Within Complex Urban Systems written by Shih-Kung Lai and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-12-18 with Business & Economics categories.
Imagine living in a city where people could move freely and buildings could be replaced at minimal cost. Reality cannot be further from such. Despite this imperfect world in which we live, urban planning has become integral and critical especially in the face of rapid urbanization in many developing and developed countries. This book introduces the axiomatic/experimental approach to urban planning and addresses the criticism of the lack of a theoretical foundation in urban planning. With the rise of the complexity movement, the book is timely in its depiction of cities as complex systems and explains why planning from within is useful in the face of urban complexity. It also includes policy implications for the Chinese cities in the context of axiomatic/experimental planning theory.
The Great Formal Machinery Works
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Author : Jan von Plato
language : en
Publisher: Princeton University Press
Release Date : 2017-08-02
The Great Formal Machinery Works written by Jan von Plato and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-08-02 with Science categories.
The information age owes its existence to a little-known but crucial development, the theoretical study of logic and the foundations of mathematics. The Great Formal Machinery Works draws on original sources and rare archival materials to trace the history of the theories of deduction and computation that laid the logical foundations for the digital revolution. Jan von Plato examines the contributions of figures such as Aristotle; the nineteenth-century German polymath Hermann Grassmann; George Boole, whose Boolean logic would prove essential to programming languages and computing; Ernst Schröder, best known for his work on algebraic logic; and Giuseppe Peano, cofounder of mathematical logic. Von Plato shows how the idea of a formal proof in mathematics emerged gradually in the second half of the nineteenth century, hand in hand with the notion of a formal process of computation. A turning point was reached by 1930, when Kurt Gödel conceived his celebrated incompleteness theorems. They were an enormous boost to the study of formal languages and computability, which were brought to perfection by the end of the 1930s with precise theories of formal languages and formal deduction and parallel theories of algorithmic computability. Von Plato describes how the first theoretical ideas of a computer soon emerged in the work of Alan Turing in 1936 and John von Neumann some years later. Shedding new light on this crucial chapter in the history of science, The Great Formal Machinery Works is essential reading for students and researchers in logic, mathematics, and computer science.