dean duffy - Academia.edu (original) (raw)

Papers by dean duffy

Research paper thumbnail of Medical Ultrasound Imaging

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Research paper thumbnail of The Laplace Transform

Chapman and Hall/CRC, Dec 12, 2016

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Research paper thumbnail of The Problem of Freezing of Copper Water Heat Pipes - Final Report for Mathematical Problems in the Industry (MPI 2018) workshop

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Research paper thumbnail of Complex Variables

Advanced Engineering Mathematics, 2022

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Research paper thumbnail of The Heat Equation

Advanced Engineering Mathematics with MATLAB®, 2021

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Research paper thumbnail of New Performance Measures for Credit Risk Models

One of the most important functions of a ratings company is to provide the financial services ind... more One of the most important functions of a ratings company is to provide the financial services industry with information they can use to assess the creditworthiness of a firm. This information is derived in part from probability of default (PD) models constructed from historical data specific to a company or class of companies, including debt levels, earnings, market capitalization, etc. The model then provides the likelihood of default over different time horizons for use by potential investors and creditors. Models range from purely statistical regressions over the available data to dynamic models based on geometric brownian motion of the firm’s total value.

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Research paper thumbnail of Laplace Transform Based Radiative Transfer Studies

Multiple scattering is the major uncertainty for data analysis of space-based lidar measurements.... more Multiple scattering is the major uncertainty for data analysis of space-based lidar measurements. Until now, accurate quantitative lidar data analysis has been limited to very thin objects that are dominated by single scattering, where photons from the laser beam only scatter a single time with particles in the atmosphere before reaching the receiver, and simple linear relationship between physical property

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Research paper thumbnail of The Application of Hilbert–Huang Transforms to Meteorological Datasets

WORLD SCIENTIFIC eBooks, Sep 1, 2005

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Research paper thumbnail of The Z-Transform

Advanced Engineering Mathematics, 2022

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Research paper thumbnail of Separation of Variables

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Research paper thumbnail of Civil Service Staff FRAs_ RRAs and University Consultants Atlas, R. Baker, Wayman Augenbaum, Jeff

Research Review_ 1984, Feb 1, 1986

Civil Service Staff FRAs_ RRAs and University Consultants Atlas, R. Baker, Wayman Augenbaum, Jeff... more Civil Service Staff FRAs_ RRAs and University Consultants Atlas, R. Baker, Wayman Augenbaum, Jeff Duffy, Dean Bloom, Steve Helfand, Mark Ghil, Michael Kalnay, Eugenia Harrison, Ed Livezey, R. Massman, Bill Peslen, Cindy Mintz, Yale Randall, Dave Munteanu, MJ Reuter, Dennis Schubert, Siegfried Richardson, Benita Semazzi, Fredrick Straus, Dave Suarez, Max Sud, Yogesh Susskind, Joel M/A-COM Sigma Data Almeida, Manina Molod, Andrea Ardizzone, Joe Nestler, Mark Balgovlnd, Ramesh Pfaendtner, Jim Battle, Bill Phillips, Bill ...

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Research paper thumbnail of The Wiener-Hopf Technique

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Research paper thumbnail of The Fundamentals

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Research paper thumbnail of Advanced Engineering Mathematics with MATLAB, Fourth Edition

From the Publisher: FROM THE PUBLISHER Incorporates the use of MATLAB to help readers visualize a... more From the Publisher: FROM THE PUBLISHER Incorporates the use of MATLAB to help readers visualize and understand the mathematics and solve problems requiring heavy computation Brings relevance to the material through many examples, most drawn from the engineering and scientific literature Introduces the z transform, of great importance in digital technologies Includes a new chapter on the Hilbert transform, crucial to work in communications Incorporates a wealth of examples from the scientific and engineering literature and an abundance of exercises that help build problem-solving skills A solutions manual is available with qualifying course adoptions. Resoundingly popular in its first edition, Dean Duffy's Advanced Engineering Mathematics has been updated, expanded, and now more than ever provides the solid mathematics background required throughout the engineering disciplines. Melding the author's expertise as a practitioner and his years of teaching engineering mathematics, this text stands clearly apart from the many others available. Relevant, insightful examples follow nearly every concept introduced and demonstrate its practical application. This edition includes two new chapters on differential equations, another on Hilbert transforms, and many new examples, problems, and projects that help build problem-solving skills. Most importantly, the book now incorporates the use of MATLAB throughout the presentation to reinforce the concepts presented. MATLAB code is included so readers can take an analytic result, fully explore it graphically, and gain valuable experience with this industry-standard software.

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Research paper thumbnail of The Application of the Semigeostrophic Equations to the Frontal Instability Problem

Journal of the Atmospheric Sciences, 1976

The stability of the classical Norwegian polar front model is reinvestigated, using a numerical t... more The stability of the classical Norwegian polar front model is reinvestigated, using a numerical technique to supplement the precise conclusions which are possible in the limiting case of zero density difference or zero wavenumber. Instead of using the primitive equations, a system of filtered momentum equations which neglects the substantial derivative of the ageostrophic put of the horizontal wind is

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Research paper thumbnail of Unsteady viscous flow around a circular cylinder found by the hopscotch scheme on a vector processing machine

Applied Numerical Mathematics, 1990

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Research paper thumbnail of On the numerical inversion of Laplace transforms

ACM Transactions on Mathematical Software, 1993

Three frequently used methods for numerically inverting Laplace transforms are tested on complica... more Three frequently used methods for numerically inverting Laplace transforms are tested on complicated transforms taken from the literature. The first method is a straightforward application of the trapezoidal rule to Bromwich's integral. The second method, developed by Weeks [22], integrates Bromwich's integral by using Laguerre polynomials. The third method, devised by Talbot [18], deforms Bromwich's contour so that the integrand of Bromwich's integral is small at the beginning and end of the contour. These methods are also applied to joint Laplace-Fourier transform problems. All three methods give satisfactory results; Talbot's, however, has an accurate method for choosing required parameters.

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Research paper thumbnail of Green's Functions with Applications

Studies in Advanced Mathematics, 2001

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Research paper thumbnail of Methods Involving Multivalued Fourier Transforms

Transform Methods for Solving Partial Differential Equations, Second Edition

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Research paper thumbnail of Green's Function

Mixed Boundary Value Problems

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Research paper thumbnail of Medical Ultrasound Imaging

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Research paper thumbnail of The Laplace Transform

Chapman and Hall/CRC, Dec 12, 2016

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Research paper thumbnail of The Problem of Freezing of Copper Water Heat Pipes - Final Report for Mathematical Problems in the Industry (MPI 2018) workshop

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Research paper thumbnail of Complex Variables

Advanced Engineering Mathematics, 2022

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Research paper thumbnail of The Heat Equation

Advanced Engineering Mathematics with MATLAB®, 2021

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Research paper thumbnail of New Performance Measures for Credit Risk Models

One of the most important functions of a ratings company is to provide the financial services ind... more One of the most important functions of a ratings company is to provide the financial services industry with information they can use to assess the creditworthiness of a firm. This information is derived in part from probability of default (PD) models constructed from historical data specific to a company or class of companies, including debt levels, earnings, market capitalization, etc. The model then provides the likelihood of default over different time horizons for use by potential investors and creditors. Models range from purely statistical regressions over the available data to dynamic models based on geometric brownian motion of the firm’s total value.

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Research paper thumbnail of Laplace Transform Based Radiative Transfer Studies

Multiple scattering is the major uncertainty for data analysis of space-based lidar measurements.... more Multiple scattering is the major uncertainty for data analysis of space-based lidar measurements. Until now, accurate quantitative lidar data analysis has been limited to very thin objects that are dominated by single scattering, where photons from the laser beam only scatter a single time with particles in the atmosphere before reaching the receiver, and simple linear relationship between physical property

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Research paper thumbnail of The Application of Hilbert–Huang Transforms to Meteorological Datasets

WORLD SCIENTIFIC eBooks, Sep 1, 2005

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Research paper thumbnail of The Z-Transform

Advanced Engineering Mathematics, 2022

Bookmarks Related papers MentionsView impact

Research paper thumbnail of Separation of Variables

Bookmarks Related papers MentionsView impact

Research paper thumbnail of Civil Service Staff FRAs_ RRAs and University Consultants Atlas, R. Baker, Wayman Augenbaum, Jeff

Research Review_ 1984, Feb 1, 1986

Civil Service Staff FRAs_ RRAs and University Consultants Atlas, R. Baker, Wayman Augenbaum, Jeff... more Civil Service Staff FRAs_ RRAs and University Consultants Atlas, R. Baker, Wayman Augenbaum, Jeff Duffy, Dean Bloom, Steve Helfand, Mark Ghil, Michael Kalnay, Eugenia Harrison, Ed Livezey, R. Massman, Bill Peslen, Cindy Mintz, Yale Randall, Dave Munteanu, MJ Reuter, Dennis Schubert, Siegfried Richardson, Benita Semazzi, Fredrick Straus, Dave Suarez, Max Sud, Yogesh Susskind, Joel M/A-COM Sigma Data Almeida, Manina Molod, Andrea Ardizzone, Joe Nestler, Mark Balgovlnd, Ramesh Pfaendtner, Jim Battle, Bill Phillips, Bill ...

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Research paper thumbnail of The Wiener-Hopf Technique

Bookmarks Related papers MentionsView impact

Research paper thumbnail of The Fundamentals

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Research paper thumbnail of Advanced Engineering Mathematics with MATLAB, Fourth Edition

From the Publisher: FROM THE PUBLISHER Incorporates the use of MATLAB to help readers visualize a... more From the Publisher: FROM THE PUBLISHER Incorporates the use of MATLAB to help readers visualize and understand the mathematics and solve problems requiring heavy computation Brings relevance to the material through many examples, most drawn from the engineering and scientific literature Introduces the z transform, of great importance in digital technologies Includes a new chapter on the Hilbert transform, crucial to work in communications Incorporates a wealth of examples from the scientific and engineering literature and an abundance of exercises that help build problem-solving skills A solutions manual is available with qualifying course adoptions. Resoundingly popular in its first edition, Dean Duffy's Advanced Engineering Mathematics has been updated, expanded, and now more than ever provides the solid mathematics background required throughout the engineering disciplines. Melding the author's expertise as a practitioner and his years of teaching engineering mathematics, this text stands clearly apart from the many others available. Relevant, insightful examples follow nearly every concept introduced and demonstrate its practical application. This edition includes two new chapters on differential equations, another on Hilbert transforms, and many new examples, problems, and projects that help build problem-solving skills. Most importantly, the book now incorporates the use of MATLAB throughout the presentation to reinforce the concepts presented. MATLAB code is included so readers can take an analytic result, fully explore it graphically, and gain valuable experience with this industry-standard software.

Bookmarks Related papers MentionsView impact

Research paper thumbnail of The Application of the Semigeostrophic Equations to the Frontal Instability Problem

Journal of the Atmospheric Sciences, 1976

The stability of the classical Norwegian polar front model is reinvestigated, using a numerical t... more The stability of the classical Norwegian polar front model is reinvestigated, using a numerical technique to supplement the precise conclusions which are possible in the limiting case of zero density difference or zero wavenumber. Instead of using the primitive equations, a system of filtered momentum equations which neglects the substantial derivative of the ageostrophic put of the horizontal wind is

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Research paper thumbnail of Unsteady viscous flow around a circular cylinder found by the hopscotch scheme on a vector processing machine

Applied Numerical Mathematics, 1990

Bookmarks Related papers MentionsView impact

Research paper thumbnail of On the numerical inversion of Laplace transforms

ACM Transactions on Mathematical Software, 1993

Three frequently used methods for numerically inverting Laplace transforms are tested on complica... more Three frequently used methods for numerically inverting Laplace transforms are tested on complicated transforms taken from the literature. The first method is a straightforward application of the trapezoidal rule to Bromwich's integral. The second method, developed by Weeks [22], integrates Bromwich's integral by using Laguerre polynomials. The third method, devised by Talbot [18], deforms Bromwich's contour so that the integrand of Bromwich's integral is small at the beginning and end of the contour. These methods are also applied to joint Laplace-Fourier transform problems. All three methods give satisfactory results; Talbot's, however, has an accurate method for choosing required parameters.

Bookmarks Related papers MentionsView impact

Research paper thumbnail of Green's Functions with Applications

Studies in Advanced Mathematics, 2001

Bookmarks Related papers MentionsView impact

Research paper thumbnail of Methods Involving Multivalued Fourier Transforms

Transform Methods for Solving Partial Differential Equations, Second Edition

Bookmarks Related papers MentionsView impact

Research paper thumbnail of Green's Function

Mixed Boundary Value Problems

Bookmarks Related papers MentionsView impact