Evaluating Derivatives

Evaluating Derivatives
Author: Andreas Griewank
Publisher: SIAM
Total Pages: 448
Release: 2008-11-06
Genre: Mathematics
ISBN: 0898716594

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This title is a comprehensive treatment of algorithmic, or automatic, differentiation. The second edition covers recent developments in applications and theory, including an elegant NP completeness argument and an introduction to scarcity.

Evaluating Derivatives

Evaluating Derivatives
Author: Andreas Griewank
Publisher: Society for Industrial and Applied Mathematics
Total Pages: 390
Release: 1987-01-01
Genre: Mathematics
ISBN: 9780898714517

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Algorithmic, or automatic, differentiation (AD) is concerned with the accurate and efficient evaluation of derivatives for functions defined by computer programs. No truncation errors are incurred, and the resulting numerical derivative values can be used for all scientific computations that are based on linear, quadratic, or even higher order approximations to nonlinear scalar or vector functions. In particular, AD has been applied to optimization, parameter identification, equation solving, the numerical integration of differential equations, and combinations thereof. Apart from quantifying sensitivities numerically, AD techniques can also provide structural information, e.g., sparsity pattern and generic rank of Jacobian matrices.

Active Calculus 2018

Active Calculus 2018
Author: Matthew Boelkins
Publisher: Createspace Independent Publishing Platform
Total Pages: 560
Release: 2018-08-13
Genre:
ISBN: 9781724458322

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Active Calculus - single variable is a free, open-source calculus text that is designed to support an active learning approach in the standard first two semesters of calculus, including approximately 200 activities and 500 exercises. In the HTML version, more than 250 of the exercises are available as interactive WeBWorK exercises; students will love that the online version even looks great on a smart phone. Each section of Active Calculus has at least 4 in-class activities to engage students in active learning. Normally, each section has a brief introduction together with a preview activity, followed by a mix of exposition and several more activities. Each section concludes with a short summary and exercises; the non-WeBWorK exercises are typically involved and challenging. More information on the goals and structure of the text can be found in the preface.

TI-89 Graphing Calculator For Dummies

TI-89 Graphing Calculator For Dummies
Author: C. C. Edwards
Publisher: John Wiley & Sons
Total Pages: 362
Release: 2005-08-05
Genre: Computers
ISBN: 0471778206

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Do you own a TI-89, TI-89 Titanium, TI-92 Plus, or a Voyage 200 graphing calculator? If you do, or if you need to get one for school or your job, then you need to know how it works and how to make the most of its functions. TI-89 For Dummies is the plain-English nuts-and-bolts guide that gets you up and running on all the things your TI-89 can do, quickly and easily. This hands-on reference guides you step by step through various tasks and even shows you how to add applications to your calculator. Soon you’ll have the tools you need to: Solve equations and systems of equations Factor polynomials Evaluate derivatives and integrals Graph functions, parametric equations, polar equations, and sequences Create Stat Plots and analyze statistical data Multiply matrices Solve differential equations and systems of differential equations Transfer files between two or more calculators Save calculator files on your computer Packed with exciting and valuable applications that you can download from the Internet and install through your computer, as well as common errors and messages with explanations and solutions, TI-89 For Dummies is the one-stop reference for all your graphing calculator questions!

Spectral Methods Using Multivariate Polynomials On The Unit Ball

Spectral Methods Using Multivariate Polynomials On The Unit Ball
Author: Kendall Atkinson
Publisher: CRC Press
Total Pages: 184
Release: 2019-11-11
Genre: Mathematics
ISBN: 1000725987

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Spectral Methods Using Multivariate Polynomials on the Unit Ball is a research level text on a numerical method for the solution of partial differential equations. The authors introduce, illustrate with examples, and analyze 'spectral methods' that are based on multivariate polynomial approximations. The method presented is an alternative to finite element and difference methods for regions that are diffeomorphic to the unit disk, in two dimensions, and the unit ball, in three dimensions. The speed of convergence of spectral methods is usually much higher than that of finite element or finite difference methods. Features Introduces the use of multivariate polynomials for the construction and analysis of spectral methods for linear and nonlinear boundary value problems Suitable for researchers and students in numerical analysis of PDEs, along with anyone interested in applying this method to a particular physical problem One of the few texts to address this area using multivariate orthogonal polynomials, rather than tensor products of univariate polynomials.

Derivatives Usage in Risk Management by U.S. and German Non-financial Firms

Derivatives Usage in Risk Management by U.S. and German Non-financial Firms
Author: Gordon M. Bodnar
Publisher:
Total Pages: 42
Release: 1998
Genre: Corporations
ISBN:

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This paper is a comparative study of the responses to the 1995 Wharton School survey of derivative usage among US non- financial firms and a 1997 companion survey on German non-financial firms. It is not a mere comparison of the results of both studies, but a comparative study, drawing a comparable subsample of firms from the US study to match the sample of German firms on both size and industry composition.

An Introduction to the Mathematics of Financial Derivatives

An Introduction to the Mathematics of Financial Derivatives
Author: Salih N. Neftci
Publisher: Academic Press
Total Pages: 550
Release: 2000-05-19
Genre: Business & Economics
ISBN: 0125153929

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A step-by-step explanation of the mathematical models used to price derivatives. For this second edition, Salih Neftci has expanded one chapter, added six new ones, and inserted chapter-concluding exercises. He does not assume that the reader has a thorough mathematical background. His explanations of financial calculus seek to be simple and perceptive.

Comptes Rendus

Comptes Rendus
Author:
Publisher:
Total Pages: 286
Release: 1993
Genre: Computer graphics
ISBN:

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Efficient Methods for Valuing Interest Rate Derivatives

Efficient Methods for Valuing Interest Rate Derivatives
Author: Antoon Pelsser
Publisher: Springer Science & Business Media
Total Pages: 177
Release: 2013-03-09
Genre: Mathematics
ISBN: 1447138880

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This book provides an overview of the models that can be used for valuing and managing interest rate derivatives. Split into two parts, the first discusses and compares the traditional models, such as spot- and forward-rate models, while the second concentrates on the more recently developed Market models. Unlike most of his competitors, the author's focus is not only on the mathematics: Antoon Pelsser draws on his experience in industry to explore a host of practical issues.

Mathematical Programming

Mathematical Programming
Author: Masao Iri
Publisher: Springer
Total Pages: 396
Release: 1989-11-30
Genre: Business & Economics
ISBN:

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