Computational Techniques For The Summation Of Series

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Computational Techniques For The Summation Of Series

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Author : Anthony Sofo
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Computational Techniques For The Summation Of Series written by Anthony Sofo 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 2012-12-06 with Mathematics categories.

Computational Techniques for the Summation of Series is a text on the representation of series in closed form. The book presents a unified treatment of summation of sums and series using function theoretic methods. A technique is developed based on residue theory that is useful for the summation of series of both Hypergeometric and Non-Hypergeometric type. The theory is supported by a large number of examples. The book is both a blending of continuous and discrete mathematics and, in addition to its theoretical base; it also places many of the examples in an applicable setting. This text is excellent as a textbook or reference book for a senior or graduate level course on the subject, as well as a reference for researchers in mathematics, engineering and related fields.

Methods For The Summation Of Series

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Author : Tian-Xiao He
language : en
Publisher: CRC Press
Release Date : 2022-01-25

Methods For The Summation Of Series written by Tian-Xiao He and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-01-25 with Mathematics categories.

This book presents methods for the summation of infinite and finite series and the related identities and inversion relations. The summation includes the column sums and row sums of lower triangular matrices. The convergence of the summation of infinite series is considered. The author’s focus is on symbolic methods and the Riordan array approach. In addition, this book contains hundreds summation formulas and identities, which can be used as a handbook for people working in computer science, applied mathematics, and computational mathematics, particularly, combinatorics, computational discrete mathematics, and computational number theory. The exercises at the end of each chapter help deepen understanding. Much of the materials in this book has never appeared before in textbook form. This book can be used as a suitable textbook for advanced courses for high lever undergraduate and lower lever graduate students. It is also an introductory self-study book for re- searchers interested in this field, while some materials of the book can be used as a portal for further research.

Computational Methods For Physicists

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Author : Simon Sirca
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-17

Computational Methods For Physicists written by Simon Sirca 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 2012-12-17 with Science categories.

This book helps advanced undergraduate, graduate and postdoctoral students in their daily work by offering them a compendium of numerical methods. The choice of methods pays significant attention to error estimates, stability and convergence issues as well as to the ways to optimize program execution speeds. Many examples are given throughout the chapters, and each chapter is followed by at least a handful of more comprehensive problems which may be dealt with, for example, on a weekly basis in a one- or two-semester course. In these end-of-chapter problems the physics background is pronounced, and the main text preceding them is intended as an introduction or as a later reference. Less stress is given to the explanation of individual algorithms. It is tried to induce in the reader an own independent thinking and a certain amount of scepticism and scrutiny instead of blindly following readily available commercial tools.

Computational Methods In Physics

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Author : Simon Širca
language : en
Publisher: Springer Nature
Release Date : 2025-04-01

Computational Methods In Physics written by Simon Širca and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-04-01 with Science categories.

This textbook provides a compendium of numerical methods to assist physics students and researchers in their daily work. It carefully considers error estimates, stability and convergence issues, the choice of optimal methods, and techniques to increase program execution speeds. The book supplies numerous examples throughout the chapters that are concluded by more comprehensive problems with a strong physics background. Instead of uncritically employing modern black-box tools, the readers are encouraged to develop a more ponderous and skeptical approach. This revised and expanded edition now includes a new chapter on numerical integration and stable differentiation, as well as fresh material on optimal filtering, integration of gravitational many-body problems, computation of Poincaré maps, regularization of orbits, singular Sturm-Liouville problems, techniques for time evolution and spatial treatment of (semi)infinite domains in spectral methods, and phase retrieval. It also brings updated discussions of algebraic problems involving sparse matrices and of high-resolution schemes for partial differential equations.

Computational Methods For Nanoscale Applications

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Author : Igor Tsukerman
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-12-24

Computational Methods For Nanoscale Applications written by Igor Tsukerman 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 2007-12-24 with Technology & Engineering categories.

Positioning itself at the common boundaries of several disciplines, this work provides new perspectives on modern nanoscale problems where fundamental science meets technology and computer modeling. In addition to well-known computational techniques such as finite-difference schemes and Ewald summation, the book presents a new finite-difference calculus of Flexible Local Approximation Methods (FLAME) that qualitatively improves the numerical accuracy in a variety of problems.

Computational Techniques For Process Simulation And Analysis Using Matlab

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Author : Niket S. Kaisare
language : en
Publisher: CRC Press
Release Date : 2017-09-18

Computational Techniques For Process Simulation And Analysis Using Matlab written by Niket S. Kaisare and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-09-18 with Science categories.

MATLAB® has become one of the prominent languages used in research and industry and often described as "the language of technical computing". The focus of this book will be to highlight the use of MATLAB® in technical computing; or more specifically, in solving problems in Process Simulations. This book aims to bring a practical approach to expounding theories: both numerical aspects of stability and convergence, as well as linear and nonlinear analysis of systems. The book is divided into three parts which are laid out with a "Process Analysis" viewpoint. First part covers system dynamics followed by solution of linear and nonlinear equations, including Differential Algebraic Equations (DAE) while the last part covers function approximation and optimization. Intended to be an advanced level textbook for numerical methods, simulation and analysis of process systems and computational programming lab, it covers following key points • Comprehensive coverage of numerical analyses based on MATLAB for chemical process examples. • Includes analysis of transient behavior of chemical processes. • Discusses coding hygiene, process animation and GUI exclusively. • Treatment of process dynamics, linear stability, nonlinear analysis and function approximation through contemporary examples. • Focus on simulation using MATLAB to solve ODEs and PDEs that are frequently encountered in process systems.

Computational Methods For Handling Systems Of Simultaneous Equations

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Author : Joan Corinne Friedman
language : en
Publisher:
Release Date : 1955

Computational Methods For Handling Systems Of Simultaneous Equations written by Joan Corinne Friedman and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1955 with Equations, Simultaneous categories.

Computational Methods For Time Series Analyses In Earth Sciences

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Author : Silvio José Gumiere
language : en
Publisher: Elsevier
Release Date : 2025-06-27

Computational Methods For Time Series Analyses In Earth Sciences written by Silvio José Gumiere and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-06-27 with Science categories.

Computational Methods for Time-Series Analyses in Earth Sciences bridges the gap between theoretical knowledge and practical application, offering a deep dive into the utilization of R programming for managing, analyzing, and forecasting time-series data within the realm of Earth sciences. It systematically unfolds the layers of data manipulation, graphical representation, and sampling to prepare the reader for complex analyses and predictive modeling from the basics of signal processing to the nuances of machine learning. It presents cutting-edge techniques, such as neural networks, kernel-based methods, and evolutionary algorithms, specifically tailored to tackle challenges, and provides practical case studies to aid readers with utilizing the techniques covered.Computational Methods for Time-Series Analyses in Earth Sciences is a valuable resource for scientists, researchers, and students delving into the intricacies of Earth's environmental patterns and cycles through the lens of computational analysis and guides readers through various computational approaches to deciphering spatial and temporal data. - Focuses on the use of R for time-series analysis and the application of these methods directly to Earth and environmental datasets - Integrates Machine Learning techniques, enabling readers to explore advanced computational methods for forecasting and modeling - Includes case studies with real-world applications, providing readers with examples on how to translate computational skills into tangible outcomes

Computational Methods For Nonlinear Dynamical Systems

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Author : Xuechuan Wang
language : en
Publisher: Elsevier
Release Date : 2022-09-28

Computational Methods For Nonlinear Dynamical Systems written by Xuechuan Wang and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-09-28 with Technology & Engineering categories.

Computational Methods for Nonlinear Dynamical Systems: Theory and Applications in Aerospace Engineering proposes novel ideas and develops highly-efficient and accurate methods for solving nonlinear dynamic systems, drawing inspiration from the weighted residual method and the asymptotic method. Proposed methods can be used both for real-time simulation and the analysis of nonlinear dynamics in aerospace engineering. The book introduces global estimation methods and local computational methods for nonlinear dynamic systems. Starting from the classic asymptotic, finite difference and weighted residual methods, typical methods for solving nonlinear dynamic systems are considered. In addition, new high-performance methods are proposed, such as time-domain collocation and local variational iteration. The book summarizes and develops computational methods for strongly nonlinear dynamic systems and considers the practical application of the methods within aerospace engineering. - Presents global methods for solving periodic nonlinear dynamical behaviors - Gives local methods for solving transient nonlinear responses - Outlines computational methods for linear, nonlinear, ordinary and partial differential equations - Emphasizes the development of accurate and efficient numerical methods that can be used in real-world missions - Reveals practical applications of methods through orbital mechanics and structural dynamics

Analytic Number Theory Approximation Theory And Special Functions

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Author : Gradimir V. Milovanović
language : en
Publisher: Springer
Release Date : 2014-07-08

Analytic Number Theory Approximation Theory And Special Functions written by Gradimir V. Milovanović and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-07-08 with Mathematics categories.

This book, in honor of Hari M. Srivastava, discusses essential developments in mathematical research in a variety of problems. It contains thirty-five articles, written by eminent scientists from the international mathematical community, including both research and survey works. Subjects covered include analytic number theory, combinatorics, special sequences of numbers and polynomials, analytic inequalities and applications, approximation of functions and quadratures, orthogonality and special and complex functions. The mathematical results and open problems discussed in this book are presented in a simple and self-contained manner. The book contains an overview of old and new results, methods, and theories toward the solution of longstanding problems in a wide scientific field, as well as new results in rapidly progressing areas of research. The book will be useful for researchers and graduate students in the fields of mathematics, physics and other computational and applied sciences.