Advances In Interdisciplinary Applied Discrete Mathematics
Advances In Interdisciplinary Applied Discrete Mathematics

Author: Hemanshu Kaul

Publisher: World Scientific

Published: 2010-12-09

Total Pages: 273

ISBN-13: 9814465461

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In the past 50 years, discrete mathematics has developed as a far-reaching and popular language for modeling fundamental problems in computer science, biology, sociology, operations research, economics, engineering, etc. The same model may appear in different guises, or a variety of models may have enough similarities such that same ideas and techniques can be applied in diverse applications.This book focuses on fields such as consensus and voting theory, clustering, location theory, mathematical biology, and optimization that have seen an upsurge of new and exciting works over the past two decades using discrete models in modern applications. Featuring survey articles written by experts in these fields, the articles emphasize the interconnectedness of the mathematical models and techniques used in various areas, and elucidate the possibilities for future interdisciplinary research. Additionally, this book discusses recent advances in the fields, highlighting the approach of cross-fertilization of ideas across disciplines.

Advances in Interdisciplinary Applied Discrete Mathematics
Advances in Interdisciplinary Applied Discrete Mathematics

Author: Hemanshu Kaul

Publisher: World Scientific

Published: 2010-09-21

Total Pages: 273

ISBN-13: 9814299146

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Focuses on fields such as consensus and voting theory, clustering, location theory, mathematical biology, and optimization that have seen an upsurge of exciting works over the years using discrete models in modern applications. This book discusses advances in the fields, highlighting the approach of cross-fertilization of ideas across disciplines.

Recent Advances in Applied Nonlinear Dynamics with Numerical Analysis
Recent Advances in Applied Nonlinear Dynamics with Numerical Analysis

Author: Changpin Li

Publisher: World Scientific

Published: 2013

Total Pages: 414

ISBN-13: 9814436461

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Nonlinear dynamics is still a hot and challenging topic. In this edited book, we focus on fractional dynamics, infinite dimensional dynamics defined by the partial differential equation, network dynamics, fractal dynamics, and their numerical analysis and simulation.Fractional dynamics is a new topic in the research field of nonlinear dynamics which has attracted increasing interest due to its potential applications in the real world, such as modeling memory processes and materials. In this part, basic theory for fractional differential equations and numerical simulations for these equations will be introduced and discussed.In the infinite dimensional dynamics part, we emphasize on numerical calculation and theoretical analysis, including constructing various numerical methods and computing the corresponding limit sets, etc.In the last part, we show interest in network dynamics and fractal dynamics together with numerical simulations as well as their applications.

Recent Developments in Computational Finance
Recent Developments in Computational Finance

Author: Thomas Gerstner

Publisher: World Scientific

Published: 2013

Total Pages: 481

ISBN-13: 9814436437

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Computational finance is an interdisciplinary field which joins financial mathematics, stochastics, numerics and scientific computing. Its task is to estimate as accurately and efficiently as possible the risks that financial instruments generate. This volume consists of a series of cutting-edge surveys of recent developments in the field written by leading international experts. These make the subject accessible to a wide readership in academia and financial businesses. The book consists of 13 chapters divided into 3 parts: foundations, algorithms and applications. Besides surveys of existing results, the book contains many new previously unpublished results.

Hilbert-huang Transform And Its Applications (2nd Edition)
Hilbert-huang Transform And Its Applications (2nd Edition)

Author: Norden E Huang

Publisher: World Scientific

Published: 2014-04-22

Total Pages: 399

ISBN-13: 981450825X

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This book is written for scientists and engineers who use HHT (Hilbert-Huang Transform) to analyze data from nonlinear and non-stationary processes. It can be treated as a HHT user manual and a source of reference for HHT applications. The book contains the basic principle and method of HHT and various application examples, ranging from the correction of satellite orbit drifting to detection of failure of highway bridges.The thirteen chapters of the first edition are based on the presentations made at a mini-symposium at the Society for Industrial and Applied Mathematics in 2003. Some outstanding mathematical research problems regarding HHT development are discussed in the first three chapters. The three new chapters of the second edition reflect the latest HHT development, including ensemble empirical mode decomposition (EEMD) and modified EMD.The book also provides a platform for researchers to develop the HHT method further and to identify more applications.

Hilbert-Huang Transform and Its Applications
Hilbert-Huang Transform and Its Applications

Author: Norden Eh Huang

Publisher: World Scientific

Published: 2014

Total Pages: 399

ISBN-13: 9814508241

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This book is written for scientists and engineers who use HHT (HilbertOCoHuang Transform) to analyze data from nonlinear and non-stationary processes. It can be treated as a HHT user manual and a source of reference for HHT applications. The book contains the basic principle and method of HHT and various application examples, ranging from the correction of satellite orbit drifting to detection of failure of highway bridges. The thirteen chapters of the first edition are based on the presentations made at a mini-symposium at the Society for Industrial and Applied Mathematics in 2003. Some outstanding mathematical research problems regarding HHT development are discussed in the first three chapters. The three new chapters of the second edition reflect the latest HHT development, including ensemble empirical mode decomposition (EEMD) and modified EMD. The book also provides a platform for researchers to develop the HHT method further and to identify more applications. Readership: Applied mathematicians, climate scientists, highway engineers, medical scientists, geologists, civil engineers, mechanical engineers, electrical engineers, economics and graduate students in science or engineering.

Stochastic Pdes And Modelling Of Multiscale Complex System
Stochastic Pdes And Modelling Of Multiscale Complex System

Author: Xiaopeng Chen

Publisher: World Scientific

Published: 2019-05-07

Total Pages: 238

ISBN-13: 981120036X

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This volume is devoted to original research results and survey articles reviewing recent developments in reduction for stochastic PDEs with multiscale as well as application to science and technology, and to present some future research direction. This volume includes a dozen chapters by leading experts in the area, with a broad audience in mind. It should be accessible to graduate students, junior researchers and other professionals who are interested in the subject. We also take this opportunity to celebrate the contributions of Professor Anthony J Roberts, an internationally leading figure on the occasion of his 60th years birthday in 2017.

Kernel-based Approximation Methods Using Matlab
Kernel-based Approximation Methods Using Matlab

Author: Gregory E Fasshauer

Publisher: World Scientific Publishing Company

Published: 2015-07-30

Total Pages: 537

ISBN-13: 9814630152

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In an attempt to introduce application scientists and graduate students to the exciting topic of positive definite kernels and radial basis functions, this book presents modern theoretical results on kernel-based approximation methods and demonstrates their implementation in various settings. The authors explore the historical context of this fascinating topic and explain recent advances as strategies to address long-standing problems. Examples are drawn from fields as diverse as function approximation, spatial statistics, boundary value problems, machine learning, surrogate modeling and finance. Researchers from those and other fields can recreate the results within using the documented MATLAB code, also available through the online library. This combination of a strong theoretical foundation and accessible experimentation empowers readers to use positive definite kernels on their own problems of interest.

Festschrift Masatoshi Fukushima: In Honor Of Masatoshi Fukushima's Sanju
Festschrift Masatoshi Fukushima: In Honor Of Masatoshi Fukushima's Sanju

Author: Zhen-qing Chen

Publisher: World Scientific

Published: 2014-11-27

Total Pages: 618

ISBN-13: 981459654X

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This book contains original research papers by leading experts in the fields of probability theory, stochastic analysis, potential theory and mathematical physics. There is also a historical account on Masatoshi Fukushima's contribution to mathematics, as well as authoritative surveys on the state of the art in the field.

Advanced Studies in Classification and Data Science
Advanced Studies in Classification and Data Science

Author: Tadashi Imaizumi

Publisher: Springer Nature

Published: 2020-09-25

Total Pages: 506

ISBN-13: 9811533113

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This edited volume focuses on the latest developments in classification and data science and covers a wide range of topics in the context of data analysis and related areas, e.g. the analysis of complex data, analysis of qualitative data, methods for high-dimensional data, dimensionality reduction, data visualization, multivariate statistical methods, and various applications to real data in the social sciences, medical sciences, and other disciplines. In addition to sharing theoretical and methodological findings, the book shows how to apply the proposed methods to a variety of problems — e.g. in consumer behavior, decision-making, marketing data and social network structures. Both methodological aspects and applications to a wide range of areas such as economics, behavioral science, marketing science, management science and the social sciences are covered. The book is chiefly intended for researchers and practitioners who are interested in the latest developments and practical applications in these fields, as well as applied statisticians and data analysts. Its combination of methodological advances with a wide range of real-world applications gathered from several fields makes it of unique value in helping readers solve their research problems.