Finite difference methods theory (11 Ergebnisse)
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Finite Difference Methods,theory and Applications: 6th International Conference Fdm 2014 Lozenetz, Bulgaria June 18-23 2014, Selected Papers
Dimov, Ivan (Editor)/ Faragó, István (Editor)/ Vulkov, Lubin (Editor)
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Finite Difference Methods. Theory and Applications: 7th International Conference, Fdm 2018, Lozenetz, Bulgaria, June 11-16, 2018, Revised Selected Papers
Dimov, Ivan (Editor)/ Faragó, István (Editor)/ Vulkov, Lubin (Editor)
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Sprache: Englisch
Verlag: Wiley& Sons Auflage: Har/Cdr (23. Mai 2006), 2006
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Hardcover. Zustand: gut. Auflage: Har/Cdr (23. Mai 2006). 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. Finite Difference Methods in Financial EngineeringA Partial Differential Equation Approach (Wiley Finance) Daniel J. Duffy quantitative finance research derivatives pricing Black-Scholes equation exotic options interest rate partial differential equatio This book proved to be a useful reference for practical implementation of finite-difference methods for PDEs: several one- and multi-factor financial derivatives pricing models, including local volatility models and models with stochastic volatilities. The methods described in the text are stable, accurate and reasonably efficient. Stability of FD methods is obviously of top concern to the author (as it should be to readers as well), and he goes into extensive detail evaluating the stability of various techniques. The writing is clear and consistent, though a "notational" index or glossary would have been helpful, particularly in the early going. The author provides several practical examples, which lends a refreshing degree of concreteness to the book. Author: Daniel Duffy is a numerical analyst who has been working in the IT business since 1979. He has been involved in the analysis, design and implementation of systems using object-oriented, component and (more recently) intelligent agent technologies to large industrial and financial applications. As early as 1993 he was involved in C++ projects for risk management and options applications with a large Dutch bank. His main interest is in finding robust and scalable numerical schemes that approximate the partial differential equations that model financial derivatives products. He has an M.Sc. in the Finite Element Method first-order hyperbolic systems and a Ph.D. in robust finite difference methods for convection-diffusion partial differential equations. Both degrees are from Trinity College, Dublin, Ireland. Daniel Duffy is founder of Datasim Education and Datasim Component Technology, two companies involved in training, consultancy and software development. ISBN 978-0470858820 ISBN 0470858826 Reihe/Serie The Wiley Finance Series Verlagsort Chichester Sprache englisch Maße 178 x 252 mmWirtschaft Betriebswirtschaft Management ISBN-10 0-470-85882-6 0470858826 ISBN-13 978-0-470-85882-0 9780470858820 Content: 0 Goals of this Book and Global Overview 1 0.1 What is this book? 1 0.2 Why has this book been written? 2 0.3 For whom is this book intended? 2 0.4 Why should I read this book? 2 0.5 The structure of this book 3 0.6 What this book does not cover 4 0.7 Contact, feedback and more information 4 PART I THE CONTINUOUS THEORY OF PARTIAL DIFFERENTIAL EQUATIONS 5 1 An Introduction to Ordinary Differential Equations 7 1.1 Introduction and objectives 7 1.2 Two-point boundary value problem 8 1.3 Linear boundary value problems 9 1.4 Initial value problems 10 1.5 Some special cases 10 1.6 Summary and conclusions 11 2 An Introduction to Partial Differential Equations 13 2.1 Introduction and objectives 13 2.2 Partial differential equations 13 2.3 Specialisations 15 2.4 Parabolic partial differential equations 18 2.5 Hyperbolic equations 20 2.6 Systems of equations 22 2.7 Equations containing integrals 23 2.8 Summary and conclusions 24 3 Second-Order Parabolic Differential Equations 25 3.1 Introduction and objectives 25 3.2 Linear parabolic equations 25 3.3 The continuous problem 26 3.4 The maximum principle for parabolic equations 28 3.5 A special case: one-factor generalised Black Scholes models 29 3.6 Fundamental solution and the Green s function 30 3.7 Integral representation of the solution of parabolic PDEs 31 3.8 Parabolic equations in one space dimension 33 3.9 Summary and conclusions 35 4 An Introduction to the Heat Equation in One Dimension 37 4.1 Introduction and objectives 37 4.2 Motivation and background 38 4.3 The heat equation and financial engineering 39 4.4 The separation of variables technique 40 4.
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Taschenbuch. Zustand: Neu. Finite Difference Methods,Theory and Applications | 6th International Conference, FDM 2014, Lozenetz, Bulgaria, June 18-23, 2014, Revised Selected Papers | Ivan Dimov (u. a.) | Taschenbuch | Lecture Notes in Computer Science | xi | Englisch | 2015 | Springer | EAN 9783319202389 | Verantwortliche Person… für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu.
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Taschenbuch. Zustand: Neu. Finite Difference Methods. Theory and Applications | 7th International Conference, FDM 2018, Lozenetz, Bulgaria, June 11-16, 2018, Revised Selected Papers | Ivan Dimov (u. a.) | Taschenbuch | Lecture Notes in Computer Science | xvi | Englisch | 2019 | Springer | EAN 9783030115388 | Verantwortliche Pers…on für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu.
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Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - This book constitutes the thoroughly refereed post-conference proceedings of the 6th International Conference on Finite Difference Methods, FDM 2014, held in Lozenetz, Bulgaria, in June 2014.The 36 revised full papers were carefully reviewed and sele…cted from 62 submissions. These papers together with 12 invited papers cover topics such as finite difference and combined finite difference methods as well as finite element methods and their various applications in physics, chemistry, biology and finance.
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Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - This book constitutes the refereed conference proceedings of the 7th International Conference on Finite Difference Methods, FDM 2018,held in Lozenetz, Bulgaria, in June 2018.The 69 revised full papers presented together with 11 invited papers were ca…refully reviewed and selected from 94 submissions.They deal with many modern and new numerical techniques like splitting techniques, Green's function method, multigrid methods, andimmersed interface method.
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Taschenbuch. Zustand: Neu. Implicit Finite Difference Time Domain Methods | Theory and Applications | Hasan Khaled Rouf | Taschenbuch | 208 S. | Englisch | 2011 | LAP LAMBERT Academic Publishing | EAN 9783847315742 | Verantwortliche Person für die EU: preigu GmbH & Co. KG, Lengericher Landstr. 19, 49078 Osnabrück, mail[at]preigu…[dot]de | Anbieter: preigu.
