G. F. Roach

Mathematics · Physical Sciences

19h-index2.1kcitations113works0.02yr avg
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Research Topics

Numerical methods in inverse problems(42), Electromagnetic Scattering and Analysis(25), Advanced Mathematical Modeling in Engineering(22), Spectral Theory in Mathematical Physics(18), Matrix Theory and Algorithms(15)

Publications113 total

On Inverse Problems for the Wave Equation with Time Dependent Potentials
2019
More about wave operators
2017
A scattering theory
2017
Examples of scattering theory strategies
2017
Nonlinear scattering theory
2017· 3 cited
Elements of spectral theory
2017· 1 cited
An introduction to linear and nonlinear scattering theory
2017· 6 cited
Some applications of semigroup theory
2017
Mathematical Analysis of Deterministic and Stochastic Problems in Complex Media Electromagnetics
Princeton University Press eBooks·2012· 48 cited
Wave Scattering by Time-Dependent Perturbations
Princeton University Press eBooks·2009· 5 cited
An Introduction to Echo Analysis: Scattering Theory and Wave Propagation
2008· 5 cited
Wave Scattering by Time-Dependent Perturbations: An Introduction
2007· 1 cited
Time-dependent potential scattering in chiral media
Journal of Mathematical Analysis and Applications·2005· 5 cited
Applications of Fixed Point Theorems to a Chemical Reactor Problem
Birkhäuser Boston eBooks·2004· 2 cited
On the Error of the Optical Response Approximation in Chiral Media
Applicable Analysis·2003· 22 cited
A time domain analysis of wave motions in chiral materials
Mathematische Nachrichten·2003· 17 cited
A TIME-DOMAIN ANALYSIS OF WAVE PROPAGATION IN CHIRAL MEDIA IN THE OPTICAL RESPONSE REGION
2002
Gamma ray transport in the cardiac region: an inverse problem
Journal of Mathematical Analysis and Applications·2002· 8 cited
Wave scattering by time-dependent potentials
Chaos Solitons & Fractals·2001· 2 cited
Adomian's method for Hammerstein integral equations arising from chemical reactor theory
Applied Mathematics and Computation·2001· 48 cited
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Frequent Co-authors

R. E. Kleinman(13), Bo Zhang(4), Zongben Xu(3), Rainer Kreß(3), T. S. Angell(3), George C. Hsiao(3), P.M. van den Berg(2), Athanasios N. Yannacopoulos(2), Jacek Banasiak(2), Luise S. Schuetz(2), Joseph J. Shirron(2), B.J. Kok(2), Ioannis G. Stratis(2), A. Belleni‐Morante(2), B. D. Sleeman(2), I. G. Stratis(1), Naglaa M. Madbouly(1), Des McGhee(1), Staffan Ström(1), D. J. Frantzeskakis(1)