A Novel Discrete Variational Derivative Method Using Average Difference Methods

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A Novel Discrete Variational Derivative Method Using Average Difference Methods

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Author :
language : en
Publisher:
Release Date : 2016

A Novel Discrete Variational Derivative Method Using Average Difference Methods written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016 with categories.

Discrete Variational Derivative Method

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Author : Daisuke Furihata
language : en
Publisher: CRC Press
Release Date : 2010-12-09

Discrete Variational Derivative Method written by Daisuke Furihata and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-12-09 with Mathematics categories.

Nonlinear Partial Differential Equations (PDEs) have become increasingly important in the description of physical phenomena. Unlike Ordinary Differential Equations, PDEs can be used to effectively model multidimensional systems. The methods put forward in Discrete Variational Derivative Method concentrate on a new class of "structure-preserving num

Moving Finite Element Method

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Author : Maria do Carmo Coimbra
language : en
Publisher: CRC Press
Release Date : 2016-11-30

Moving Finite Element Method written by Maria do Carmo Coimbra and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-11-30 with Mathematics categories.

This book focuses on process simulation in chemical engineering with a numerical algorithm based on the moving finite element method (MFEM). It offers new tools and approaches for modeling and simulating time-dependent problems with moving fronts and with moving boundaries described by time-dependent convection-reaction-diffusion partial differential equations in one or two-dimensional space domains. It provides a comprehensive account of the development of the moving finite element method, describing and analyzing the theoretical and practical aspects of the MFEM for models in 1D, 1D+1d, and 2D space domains. Mathematical models are universal, and the book reviews successful applications of MFEM to solve engineering problems. It covers a broad range of application algorithm to engineering problems, namely on separation and reaction processes presenting and discussing relevant numerical applications of the moving finite element method derived from real-world process simulations.

Computational Methods In Applied Mathematics

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Author :
language : en
Publisher:
Release Date : 2004

Computational Methods In Applied Mathematics written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Engineering mathematics categories.

Finite Difference Methods In Financial Engineering

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Author : Daniel J. Duffy
language : en
Publisher: John Wiley & Sons
Release Date : 2013-10-28

Finite Difference Methods In Financial Engineering written by Daniel J. Duffy and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-10-28 with Business & Economics categories.

The world of quantitative finance (QF) is one of the fastest growing areas of research and its practical applications to derivatives pricing problem. Since the discovery of the famous Black-Scholes equation in the 1970's we have seen a surge in the number of models for a wide range of products such as plain and exotic options, interest rate derivatives, real options and many others. Gone are the days when it was possible to price these derivatives analytically. For most problems we must resort to some kind of approximate method. In this book we employ partial differential equations (PDE) to describe a range of one-factor and multi-factor derivatives products such as plain European and American options, multi-asset options, Asian options, interest rate options and real options. PDE techniques allow us to create a framework for modeling complex and interesting derivatives products. Having defined the PDE problem we then approximate it using the Finite Difference Method (FDM). This method has been used for many application areas such as fluid dynamics, heat transfer, semiconductor simulation and astrophysics, to name just a few. In this book we apply the same techniques to pricing real-life derivative products. We use both traditional (or well-known) methods as well as a number of advanced schemes that are making their way into the QF literature: Crank-Nicolson, exponentially fitted and higher-order schemes for one-factor and multi-factor options Early exercise features and approximation using front-fixing, penalty and variational methods Modelling stochastic volatility models using Splitting methods Critique of ADI and Crank-Nicolson schemes; when they work and when they don't work Modelling jumps using Partial Integro Differential Equations (PIDE) Free and moving boundary value problems in QF Included with the book is a CD containing information on how to set up FDM algorithms, how to map these algorithms to C++ as well as several working programs for one-factor and two-factor models. We also provide source code so that you can customize the applications to suit your own needs.

Scale Space And Variational Methods In Computer Vision

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Author : François Lauze
language : en
Publisher: Springer
Release Date : 2017-05-16

Scale Space And Variational Methods In Computer Vision written by François Lauze and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-05-16 with Computers categories.

This book constitutes the refereed proceedings of the 6th International Conference on Scale Space and Variational Methods in Computer Vision, SSVM 2017, held in Kolding, Denmark, in June 2017. The 55 revised full papers presented were carefully reviewed and selected from 77 submissions. The papers are organized in the following topical sections: Scale Space and PDE Methods; Restoration and Reconstruction; Tomographic Reconstruction; Segmentation; Convex and Non-Convex Modeling and Optimization in Imaging; Optical Flow, Motion Estimation and Registration; 3D Vision.

Automated Solution Of Differential Equations By The Finite Element Method

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Author : Anders Logg
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-02-24

Automated Solution Of Differential Equations By The Finite Element Method written by Anders Logg 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 2012-02-24 with Computers categories.

This book is a tutorial written by researchers and developers behind the FEniCS Project and explores an advanced, expressive approach to the development of mathematical software. The presentation spans mathematical background, software design and the use of FEniCS in applications. Theoretical aspects are complemented with computer code which is available as free/open source software. The book begins with a special introductory tutorial for beginners. Following are chapters in Part I addressing fundamental aspects of the approach to automating the creation of finite element solvers. Chapters in Part II address the design and implementation of the FEnicS software. Chapters in Part III present the application of FEniCS to a wide range of applications, including fluid flow, solid mechanics, electromagnetics and geophysics.

Scale Space And Variational Methods In Computer Vision

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Author : Tatiana A. Bubba
language : en
Publisher: Springer Nature
Release Date :

Scale Space And Variational Methods In Computer Vision written by Tatiana A. Bubba and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.

Polarons In Bulk Materials And Systems With Reduced Dimensionality

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Author : Giuseppe Iadonisi
language : en
Publisher: IOS Press
Release Date : 2006

Polarons In Bulk Materials And Systems With Reduced Dimensionality written by Giuseppe Iadonisi and has been published by IOS Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Science categories.

Attempts to treat electron-phonon coupled systems, with emphasis on Many Body aspects for dense electron systems, taking into account continuum as well as lattice polaron effects. This work aims to introduce the study of such systems, where strong electron-electron correlations and large electron-phonon coupling strengths play important roles.

Finite Difference Computing With Pdes

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Author : Hans Petter Langtangen
language : en
Publisher: Springer
Release Date : 2017-06-21

Finite Difference Computing With Pdes written by Hans Petter Langtangen and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-06-21 with Computers categories.

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.