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Author : Anonim
Publisher : Unknown
Page : 128 pages
File Size : 55,5 Mb
Release : 2024-05-20
Category : Electronic
ISBN : 9789814465465
Author : Hemanshu Kaul,Henry Martyn Mulder
Publisher : World Scientific
Page : 273 pages
File Size : 52,6 Mb
Release : 2010-09-21
Category : Mathematics
ISBN : 9789814299145
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.
Author : Andrei M. Raigorodskii,Michael Th. Rassias
Publisher : Springer Nature
Page : 499 pages
File Size : 48,6 Mb
Release : 2020-11-21
Category : Mathematics
ISBN : 9783030558574
Advances in discrete mathematics are presented in this book with applications in theoretical mathematics and interdisciplinary research. Each chapter presents new methods and techniques by leading experts. Unifying interdisciplinary applications, problems, and approaches of discrete mathematics, this book connects topics in graph theory, combinatorics, number theory, cryptography, dynamical systems, finance, optimization, and game theory. Graduate students and researchers in optimization, mathematics, computer science, economics, and physics will find the wide range of interdisciplinary topics, methods, and applications covered in this book engaging and useful.
Author : Changpin Li
Publisher : World Scientific
Page : 414 pages
File Size : 42,9 Mb
Release : 2013
Category : Science
ISBN : 9789814436465
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.
Author : Thomas Gerstner,Peter E. Kloeden
Publisher : World Scientific
Page : 481 pages
File Size : 50,6 Mb
Release : 2013
Category : Business & Economics
ISBN : 9789814436434
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.
Author : Hemen Dutta,Ljubiša D. R. Kočinac,Hari M. Srivastava
Publisher : Springer Nature
Page : 912 pages
File Size : 40,7 Mb
Release : 2019-08-23
Category : Mathematics
ISBN : 9783030152420
This book explores several important aspects of recent developments in the interdisciplinary applications of mathematical analysis (MA), and highlights how MA is now being employed in many areas of scientific research. Each of the 23 carefully reviewed chapters was written by experienced expert(s) in respective field, and will enrich readers’ understanding of the respective research problems, providing them with sufficient background to understand the theories, methods and applications discussed. The book’s main goal is to highlight the latest trends and advances, equipping interested readers to pursue further research of their own. Given its scope, the book will especially benefit graduate and PhD students, researchers in the applied sciences, educators, and engineers with an interest in recent developments in the interdisciplinary applications of mathematical analysis.
Author : Norden E Huang,Samuel S P Shen
Publisher : World Scientific
Page : 400 pages
File Size : 42,9 Mb
Release : 2014-04-22
Category : Mathematics
ISBN : 9789814508254
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. Contents:Introduction to the Hilbert–Huang Transform and Its Related Mathematical ProblemsEnsemble Empirical Mode Decomposition and Its Multi-Dimensional ExtensionsMultivariate Extensions of Empirical Mode DecompositionB-Spline Based Empirical Mode DecompositionEMD Equivalent Filter Banks, From Interpretation to ApplicationsHHT Sifting and FilteringStatistical Significance Test of Intrinsic Mode FunctionsThe Time-Dependent Intrinsic CorrelationThe Application of Hilbert–Huang Transforms to Meteorological DatasetsEmpirical Mode Decomposition and Climate VariabilityEMD Correction of Orbital Drift Artifacts in Satellite Data StreamHHT Analysis of the Nonlinear and Non-Stationary Annual Cycle of Daily Surface Air Temperature DataHilbert Spectra of Nonlinear Ocean WavesEMD and Instantaneous Phase Detection of Structural DamageHTT-Based Bridge Structural Health-Monitoring MethodApplications of HHT in Image Analysis Readership: Applied mathematicians, climate scientists, highway engineers, medical scientists, geologists, civil engineers, mechanical engineers, electrical engineers, economics and graduate students in science or engineering. Keywords:HilbertâHuang Transform;Empirical Mode Decomposition;Intrinsic Mode Function;Hilbert Spectral Analysis;Time-Frequency AnalysisKey Features:A tool book for analyzing nonlinear and non-stationary dataA source book for HHT development and applicationsThe most complete reference for HHT method and applications
Author : Norden Eh Huang
Publisher : World Scientific
Page : 399 pages
File Size : 43,6 Mb
Release : 2014
Category : Mathematics
ISBN : 9789814508247
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.
Author : Tadashi Imaizumi,Akinori Okada,Sadaaki Miyamoto,Fumitake Sakaori,Yoshiro Yamamoto,Maurizio Vichi
Publisher : Springer Nature
Page : 506 pages
File Size : 54,6 Mb
Release : 2020-09-25
Category : Mathematics
ISBN : 9789811533112
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.
Author : Gregory Fasshauer,Michael McCourt
Publisher : World Scientific Publishing Company
Page : 536 pages
File Size : 49,7 Mb
Release : 2015-07-30
Category : Mathematics
ISBN : 9789814630153
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.
Author : Zhen-Qing Chen,Niels Jacob,Masayoshi Takeda,Toshihiro Uemura
Publisher : World Scientific
Page : 620 pages
File Size : 50,5 Mb
Release : 2014-11-27
Category : Mathematics
ISBN : 9789814596541
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. Contents:Professor Fukushima's Work:The Mathematical Work of Masatoshi Fukushima — An Essay (Zhen-Qing Chen, Niels Jacob, Masayoshi Takeda and Toshihiro Uemura)Bibliography of Masatoshi FukushimaContributions:Quasi Regular Dirichlet Forms and the Stochastic Quantization Problem (Sergio Albeverio, Zhi-Ming Ma and Michael Röckner)Comparison of Quenched and Annealed Invariance Principles for Random Conductance Model: Part II (Martin Barlow, Krzysztof Burdzy and Adám Timár)Some Historical Aspects of Error Calculus by Dirichlet Forms (Nicolas Bouleau)Stein's Method, Malliavin Calculus, Dirichlet Forms and the Fourth Moment Theorem (Louis H Y Chen and Guillaume Poly)Progress on Hardy-Type Inequalities (Mu-Fa Chen)Functional Inequalities for Pure-Jump Dirichlet Forms (Xin Chen, Feng-Yu Wang and Jian Wang)Additive Functionals and Push Forward Measures Under Veretennikov's Flow (Shizan Fang and Andrey Pilipenko)On a Result of D W Stroock (Patrick J Fitzsimmons)Consistent Risk Measures and a Non-Linear Extension of Backwards Martingale Convergence (Hans Föllmer and Irina Penner)Unavoidable Collections of Balls for Processes with Isotropic Unimodal Green Function (Wolfhard Hansen)Functions of Locally Bounded Variation on Wiener Spaces (Masanori Hino)A Dirichlet Space on Ends of Tree and Superposition of Nodewise Given Dirichlet Forms with Tier Linkage (Hiroshi Kaneko)Dirichlet Forms in Quantum Theory (Witold Karwowski and Ludwig Streit)On a Stability of Heat Kernel Estimates under Generalized Non-Local Feynman-Kac Perturbations for Stable-Like Processes (Daehong Kim and Kazuhiro Kuwae)Martin Boundary for Some Symmetric Lévy Processes (Panki Kim, Renming Song and Zoran Vondraček)Level Statistics of One-Dimensional Schrödinger Operators with Random Decaying Potential (Shinichi Kotani and Fumihiko Nakano)Perturbation of the Loop Measure (Yves Le Jan and Jay Rosen)Regular Subspaces of Dirichlet Forms (Liping Li and Jiangang Ying)Quasi-Regular Semi-Dirichlet Forms and Beyond (Zhi-Ming Ma, Wei Sun and Li-Fei Wang)Large Deviation Estimates for Controlled Semi-Martingales (Hideo Nagai)A Comparison Theorem for Backward SPDEs with Jumps (Bernt Øksendal, Agnès Sulem and Tusheng Zhang)On a Construction of a Space-Time Diffusion Process with Boundary Condition (Yoichi Oshima)Lower Bounded Semi-Dirichlet Forms Associated with Lévy Type Operators (René L Schilling and Jian Wang)Ultracontractivity for Non-Symmetric Markovian Semigroups (Ichiro Shigekawa)Metric Measure Spaces with Variable Ricci Bounds and Couplings of Brownian Motions (Karl-Theodor Sturm)Intrinsic Ultracontractivity and Semi-Small Perturbation for Skew Product Diffusion Operators (Matsuyo Tomisaki) Readership: Researchers in probability, stochastic analysis and mathematical physics. Key Features:Research papers by leading expertsHistorical account of M Fukushima's contribution to mathematicsAuthoritative surveys on the state of the art in the fieldKeywords:Probability Theory;Markov Processes;Dirichlet Forms;Potential Theory;Mathematical Physics
Author : Cheban David N
Publisher : World Scientific
Page : 616 pages
File Size : 51,8 Mb
Release : 2014-12-15
Category : Mathematics
ISBN : 9789814619844
The study of attractors of dynamical systems occupies an important position in the modern qualitative theory of differential equations. This engaging volume presents an authoritative overview of both autonomous and non-autonomous dynamical systems, including the global compact attractor. From an in-depth introduction to the different types of dissipativity and attraction, the book takes a comprehensive look at the connections between them, and critically discusses applications of general results to different classes of differential equations.The new Chapters 15-17 added to this edition include some results concerning Control Dynamical Systems — the global attractors, asymptotic stability of switched systems, absolute asymptotic stability of differential/difference equations and inclusions — published in the works of author in recent years.
Author : Wang Wei,Chen Xiaopeng,Lv Yan
Publisher : World Scientific
Page : 240 pages
File Size : 47,7 Mb
Release : 2019-05-07
Category : Mathematics
ISBN : 9789811200366
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.
Author : Bourama Toni
Publisher : Springer
Page : 358 pages
File Size : 45,7 Mb
Release : 2017-07-05
Category : Mathematics
ISBN : 9783319556123
The latest of five multidisciplinary volumes, this book spans the STEAM-H (Science, Technology, Engineering, Agriculture, Mathematics, and Health) disciplines with the intent to generate meaningful interdisciplinary interaction and student interest. Emphasis is placed on important methods and applications within and beyond each field. Topics include geometric triple systems, image segmentation, pattern recognition in medicine, pricing barrier options, p-adic numbers distribution in geophysics data pattern, adelic physics, and evolutionary game theory. Contributions were by invitation only and peer-reviewed. Each chapter is reasonably self-contained and pedagogically presented for a multidisciplinary readership.
Author : Huaizhong Zhao,Aubrey Truman
Publisher : World Scientific
Page : 458 pages
File Size : 50,7 Mb
Release : 2012
Category : Mathematics
ISBN : 9789814360913
The volume is dedicated to Professor David Elworthy to celebrate his fundamental contribution and exceptional influence on stochastic analysis and related fields. Stochastic analysis has been profoundly developed as a vital fundamental research area in mathematics in recent decades. It has been discovered to have intrinsic connections with many other areas of mathematics such as partial differential equations, functional analysis, topology, differential geometry, dynamical systems, etc. Mathematicians developed many mathematical tools in stochastic analysis to understand and model random phenomena in physics, biology, finance, fluid, environment science, etc. This volume contains 12 comprehensive review/new articles written by world leading researchers (by invitation) and their collaborators. It covers stochastic analysis on manifolds, rough paths, Dirichlet forms, stochastic partial differential equations, stochastic dynamical systems, infinite dimensional analysis, stochastic flows, quantum stochastic analysis and stochastic Hamilton Jacobi theory. Articles contain cutting edge research methodology, results and ideas in relevant fields. They are of interest to research mathematicians and postgraduate students in stochastic analysis, probability, partial differential equations, dynamical systems, mathematical physics, as well as to physicists, financial mathematicians, engineers, etc.