Finite Difference Computing with PDEs

Finite Difference Computing with PDEs PDF Author: Hans Petter Langtangen
Publisher: Springer
ISBN: 3319554565
Category : Computers
Languages : en
Pages : 522

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Book Description
This book is open access under a CC BY 4.0 license. This easy-to-read book introduces the basics of solving partial differential equations by means of finite difference methods. Unlike many of the traditional academic works on the topic, this book was written for practitioners. Accordingly, it especially addresses: the construction of finite difference schemes, formulation and implementation of algorithms, verification of implementations, analyses of physical behavior as implied by the numerical solutions, and how to apply the methods and software to solve problems in the fields of physics and biology.

Finite Difference Computing with PDEs

Finite Difference Computing with PDEs PDF Author: Hans Petter Langtangen
Publisher: Springer
ISBN: 3319554565
Category : Computers
Languages : en
Pages : 522

Get Book Here

Book Description
This book is open access under a CC BY 4.0 license. This easy-to-read book introduces the basics of solving partial differential equations by means of finite difference methods. Unlike many of the traditional academic works on the topic, this book was written for practitioners. Accordingly, it especially addresses: the construction of finite difference schemes, formulation and implementation of algorithms, verification of implementations, analyses of physical behavior as implied by the numerical solutions, and how to apply the methods and software to solve problems in the fields of physics and biology.

Communications and Information Systems

Communications and Information Systems PDF Author: Michael John Ryan
Publisher: Argos Press P/L
ISBN: 0958023808
Category : Information theory
Languages : en
Pages : 346

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Book Description


Loading Factors and FDM-FM System Performance Calculations

Loading Factors and FDM-FM System Performance Calculations PDF Author: E. F. Florman
Publisher:
ISBN:
Category : Radio
Languages : en
Pages : 28

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Book Description
This supplement was written for the purpose of extending the scope of the original paper, by providing a more complete set of system-performance design equations, which apply to the Frequency Division Multiplex--Frequency Modulation type of multichannel telecommunication systems; these equations may be used for various types, and combinations of types, of message signals. The page numbers of this paper correspond to the pages in "The National Bureau of Standards Technical Note 100", on the topic of FDM-FM systems-performance calculations, based primarily on the FM radio receiver transfer function. The referenced page numbers and equation numbers in this paper refer, of course, to NBS Technical Note 100.

Fused Deposition Modeling Based 3D Printing

Fused Deposition Modeling Based 3D Printing PDF Author: Harshit K. Dave
Publisher: Springer Nature
ISBN: 303068024X
Category : Technology & Engineering
Languages : en
Pages : 517

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Book Description
This book covers 3D printing activities by fused deposition modeling process. The two introductory chapters discuss the principle, types of machines and raw materials, process parameters, defects, design variations and simulation methods. Six chapters are devoted to experimental work related to process improvement, mechanical testing and characterization of the process, followed by three chapters on post-processing of 3D printed components and two chapters addressing sustainability concerns. Seven chapters discuss various applications including composites, external medical devices, drug delivery system, orthotic inserts, watertight components and 4D printing using FDM process. Finally, six chapters are dedicated to the study on modeling and optimization of FDM process using computational models, evolutionary algorithms, machine learning, metaheuristic approaches and optimization of layout and tool path.

Numerical Methods in Computational Finance

Numerical Methods in Computational Finance PDF Author: Daniel J. Duffy
Publisher: John Wiley & Sons
ISBN: 1119719720
Category : Business & Economics
Languages : en
Pages : 551

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Book Description
This book is a detailed and step-by-step introduction to the mathematical foundations of ordinary and partial differential equations, their approximation by the finite difference method and applications to computational finance. The book is structured so that it can be read by beginners, novices and expert users. Part A Mathematical Foundation for One-Factor Problems Chapters 1 to 7 introduce the mathematical and numerical analysis concepts that are needed to understand the finite difference method and its application to computational finance. Part B Mathematical Foundation for Two-Factor Problems Chapters 8 to 13 discuss a number of rigorous mathematical techniques relating to elliptic and parabolic partial differential equations in two space variables. In particular, we develop strategies to preprocess and modify a PDE before we approximate it by the finite difference method, thus avoiding ad-hoc and heuristic tricks. Part C The Foundations of the Finite Difference Method (FDM) Chapters 14 to 17 introduce the mathematical background to the finite difference method for initial boundary value problems for parabolic PDEs. It encapsulates all the background information to construct stable and accurate finite difference schemes. Part D Advanced Finite Difference Schemes for Two-Factor Problems Chapters 18 to 22 introduce a number of modern finite difference methods to approximate the solution of two factor partial differential equations. This is the only book we know of that discusses these methods in any detail. Part E Test Cases in Computational Finance Chapters 23 to 26 are concerned with applications based on previous chapters. We discuss finite difference schemes for a wide range of one-factor and two-factor problems. This book is suitable as an entry-level introduction as well as a detailed treatment of modern methods as used by industry quants and MSc/MFE students in finance. The topics have applications to numerical analysis, science and engineering. More on computational finance and the author’s online courses, see www.datasim.nl.

Artificial Intelligence Applications in Chronic Ocular Diseases

Artificial Intelligence Applications in Chronic Ocular Diseases PDF Author: Wei Chi
Publisher: Frontiers Media SA
ISBN: 2832548393
Category : Science
Languages : en
Pages : 365

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Book Description
With the acceleration of urbanization and aging processes, chronic ocular diseases have become a critical threat to the vision health of the global population . Chronic ocular diseases include a series of disorders and conditions that involve long-term defects in both anterior and posterior segments of the eye, such as cataract, glaucoma, keratoconus (KC), diabetic retinopathy (DR), and age-related macular degeneration (AMD). However, it is still challenging to understand the mechanisms of these diseases and to discover new and reliable biomarkers to identify the diseases and their severities. Moreover, conventional methods in clinical societies are not as effective or efficient as expected, especially in the era of artificial intelligence.

Comprehensive Materials Processing

Comprehensive Materials Processing PDF Author:
Publisher: Newnes
ISBN: 0080965334
Category : Technology & Engineering
Languages : en
Pages : 5485

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Book Description
Comprehensive Materials Processing, Thirteen Volume Set provides students and professionals with a one-stop resource consolidating and enhancing the literature of the materials processing and manufacturing universe. It provides authoritative analysis of all processes, technologies, and techniques for converting industrial materials from a raw state into finished parts or products. Assisting scientists and engineers in the selection, design, and use of materials, whether in the lab or in industry, it matches the adaptive complexity of emergent materials and processing technologies. Extensive traditional article-level academic discussion of core theories and applications is supplemented by applied case studies and advanced multimedia features. Coverage encompasses the general categories of solidification, powder, deposition, and deformation processing, and includes discussion on plant and tool design, analysis and characterization of processing techniques, high-temperatures studies, and the influence of process scale on component characteristics and behavior. Authored and reviewed by world-class academic and industrial specialists in each subject field Practical tools such as integrated case studies, user-defined process schemata, and multimedia modeling and functionality Maximizes research efficiency by collating the most important and established information in one place with integrated applets linking to relevant outside sources

Computational Fluid Dynamics

Computational Fluid Dynamics PDF Author: T. J. Chung
Publisher: Cambridge University Press
ISBN: 9780521594165
Category : Juvenile Nonfiction
Languages : en
Pages : 1040

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Book Description
Increasingly, computational fluid dynamics (CFD) techniques are being used to study and solve complex fluid flow and heat transfer problems. This comprehensive book ranges from elementary concepts for the beginner to state-of-the-art CFD for the practitioner. It begins with CFD preliminaries, in which the basic principles of finite difference (FD), finite element (FE), and finite volume (FV) methods are discussed and illustrated through examples, with step-by-step hand calculations. Then, FD and FE methods respectively are covered, including both historical developments and recent contributions. The next section is devoted to structured and unstructured grids, adaptive methods, computing techniques, and parallel processing. Finally, the author describes a variety of practical applications to problems in turbulence, reacting flows and combustion, acoustics, combined mode radiative heat transfer, multiphase flows, electromagnetic fields, and relativistic astrophysical flows. Students and practitioners - particularly in mechanical, aerospace, chemical, and civil engineering - will use this authoritative text to learn about and apply numerical techniques to the solution of fluid dynamics problems.

Sharing Data, Information and Knowledge

Sharing Data, Information and Knowledge PDF Author: Alexander Gray
Publisher: Springer Science & Business Media
ISBN: 3540705031
Category : Computers
Languages : en
Pages : 303

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Book Description
This book constitutes the refereed proceedings of the 25th British National Conference on Databases, BNCOD 25, held in Cardiff, UK, in July 2008. The 14 revised full papers and 7 revised poster papers presented together with an invited contribution were carefully reviewed and selected from 45 submissions. The papers are organized in topical sections on data mining and privacy, data integration, stream and event data processing, and query processing and optimisation. The volume in addition contains 5 invited papers by leading researchers from the International Colloquium on Advances in Database Research and the two best papers from the workshop on Biodiversity Informatics: Challenges in Modelling and Managing Biodiversity Knowledge.

3-Dimensional Modeling in Cardiovascular Disease

3-Dimensional Modeling in Cardiovascular Disease PDF Author: Evan M. Zahn
Publisher: Elsevier Health Sciences
ISBN: 0323653928
Category : Medical
Languages : en
Pages : 216

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Book Description
Written by physicians and surgeons, imaging specialists, and medical technology engineers, and edited by Dr. Evan M. Zahn of the renowned Cedars-Sinai Heart Institute, this concise, focused volume covers must-know information in this new and exciting field. Covering everything from the evolution of 3D modeling in cardiac disease to the various roles of 3D modeling in cardiology to cardiac holography and 3D bioprinting, 3-Dimensional Modeling in Cardiovascular Disease is a one-stop resource for physicians, cardiologists, radiologists, and engineers who work with patients, support care providers, and perform research. - Provides history and context for the use of 3D printing in cardiology settings, discusses how to use it to plan and evaluate treatment, explains how it can be used as an education resource, and explores its effectiveness with medical interventions. - Presents specific uses for 3D modeling of the heart, examines whether it improves outcomes, and explores 3D bioprinting. - Consolidates today's available information and guidance into a single, convenient resource.