Frank Natterer

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All published works

Action	Title	Year	Authors
+	Adjoint Methods as Applied to Inverse Problems	2015	Frank Natterer
+	Sonic Imaging	2015	Frank Natterer
+	Sonic Imaging	2014	Frank Natterer
+ PDF Chat	Photo-acoustic inversion in convex domains	2012	Frank Natterer
+	Incomplete data problems in wave equation imaging	2010	Frank Natterer
+	A finite difference method for the inverse scattering problem at fixed frequency	2008	Frank Natterer Frank Wübbeling
+	X-ray Tomography	2008	Frank Natterer
+	An algorithm for 3D ultrasound tomography	2007	Frank Natterer
+	Initial value techniques for the Helmholtz and Maxwell equations	2006	Frank Natterer Olga Klyubina
+	Marching schemes for inverse acoustic scattering problems	2005	Frank Natterer Frank Wübbeling
+ PDF Chat	Book Review: Mathematics of medical imaging	2004	Frank Natterer
+	A local iterative reconstruction algorithm for planar integral data	2004	Gengsheng L. Zeng Daniel Gagnon Frank Natterer Wenli Wang M. Wrinkler William G. Hawkins
+	An error bound for the Born approximation	2004	Frank Natterer
+	Image Reconstruction in Transmission Ultrasound Tomography	2004	Frank Natterer
+	Fréchet Derivatives for Some Bilinear Inverse Problems	2002	Frank Natterer Helmut Sielschott Oliver Dorn Thomas Dierkes Victor Palamodov
+	FRDERIVATIVES FOR SOME BILINEAR INVERSE PROBLEMS	2002	Thomas Dierkes Oliver Dorn Frank Natterer Victor Palamodov Helmut Sielschott
+	Mathematical Methods in Image Reconstruction	2002	Frank Natterer Frank Wübbeling Ge Wang
+	An Algorithm for the Fully Nonlinear Inverse Scattering Problem at Fixed Frequency	2001	Frank Natterer
+	AN ALGORITHM FOR THE FULLY NONLINEAR INVERSE SCATTERING PROBLEM AT FIXED FREQUENCY	2001	Frank Natterer
+	Mathematical methods in image reconstruction	2001	Frank Natterer Frank Wübbeling
+	4. Ill-posedness and Accuracy	2001	Frank Natterer
+	Mathematical Models for Medical Imaging	1999	Frank Natterer
+	Numerical methods in tomography	1999	Frank Natterer
+	Computational Radiology and Imaging: Therapy and Diagnostics	1999	Christoph Börgers Frank Natterer Ima Program on Mathematics in High-Performance Computing Imaging Therapy Diagnostics
+	<title>Numerical scheme for solving the acoustical inverse scattering problem</title>	1997	Frank Wuebbeling Frank Natterer
+	Algorithms in Tomography	1997	Frank Natterer
+	An Initial Value Approach to the Inverse Helmholtz Problem at Fixed Frequency	1997	Frank Natterer
+	A propagation-backpropagation method for ultrasound tomography	1995	Frank Natterer Frank Wübbeling
+	Mathematical Methods in Tomography: Proceedings of a Conference Held in Oberwolfach, Germany, 5-11 June, 1990	1992	Gábor T. Herman Alfred K. Louis Frank Natterer Mathematisches Forschungsinstitut Oberwolfach
+	A Lanczos type algorithm for inverse Sturm-Liouville problems	1992	Frank Natterer
+	An inverse problem for a transport equation and integral geometry	1990	Frank Natterer
+ PDF Chat	Singular Ordinary Differential Operators and Pseudodifferential Equations	1988	Frank Natterer Johannes Elschner
+	Regularization Techniques in Medical Imaging	1988	Frank Natterer
+	Resolution in Computerized Tomography	1987	Frank Natterer
+	A Direct Algebraic Algorithm in Computerized Tomography	1987	Hermann Kruse Frank Natterer
+	SEVERELY ILL-POSED RADON PROBLEMS	1987	Frank Natterer
+	Efficient evaluation of oversampled functions	1986	Frank Natterer
+	The Radon Transform and Related Transforms	1986	Frank Natterer
+	Ill-posedness and Accuracy	1986	Frank Natterer
+	Numerical treatment of ill-posed problems	1986	Frank Natterer
+	Error bounds for tikhonov regularization in hilbert scales	1984	Frank Natterer
+	Computerized Tomography with Unknown Sources	1983	Frank Natterer
+	Mathematical problems of computerized tomography	1983	Alfred K. Louis Frank Natterer
+	On the Order of Regularization Methods	1983	Frank Natterer
+	The Identification Problem in Emission Computed Tomography	1981	Frank Natterer
+	A Sobolev Space Analysis of Picture Reconstruction	1980	Frank Natterer
+	On the inversion of the attenuated Radon transform	1979	Frank Natterer
+	Berechnung Oberer Schranken für die Norm der Ritz-Projektion auf Finite Elemente	1978	Frank Natterer
+	Regularisierung schlecht gestellter Probleme durch Projektionsverfahren	1977	Frank Natterer
+	Uniform Convergence of Galerkin's Method for Splines on Highly Nonuniform Meshes	1977	Frank Natterer
+ PDF Chat	Uniform convergence of Galerkin’s method for splines on highly nonuniform meshes	1977	Frank Natterer
+ PDF Chat	The finite element method for ill-posed problems	1977	Frank Natterer
+	Das Differenzenverfahren f�r singul�re Rand-Eigenwertaufgaben gew�hnlicher Differentialgleichungen	1975	Frank Natterer
+	Das Randwertproblem für eine Klasse singulärer gewöhnlicher Differentialausdrücke	1975	Frank Natterer
+	�ber die punktweise Konvergenz Finiter Elemente	1975	Frank Natterer
+	Das Randwertproblem für eine Klasse singulärer gewöhnlicher Differentialausdrücke	1974	Frank Natterer
+	A generalized spline method for singular boundary value problems of ordinary differential equations	1973	Frank Natterer
+	Schranken f�r die Norm der Greenschen Funktion gew�hnlicher Differentialoperatoren	1971	Frank Natterer
+	Numerical methods of high-order accuracy for singular nonlinear boundary value problems	1970	Philippe G. Ciarlet Frank Natterer R. S. Varga
+	Schranken für die Eigenwerte gewöhnlicher Differentialgleichungen durch Spline-Approximation	1970	Frank Natterer
+	Einschließungen für die großen Eigenwerte gewöhnlicher Differentialgleichungen	1970	Frank Natterer
+	Numerische Behandlung singulärer Sturm-Liouville-Probleme	1969	Frank Natterer
+	Einschließungen für die großen Eigenwerte gewöhnlicher Differentialgleichungen zweiter und vierter Ordnung	1969	Frank Natterer

Common Coauthors

Coauthor	Papers Together
Frank Wübbeling	5
Thomas Dierkes	2
Alfred K. Louis	2
Oliver Dorn	2
Victor Palamodov	2
Helmut Sielschott	2
M. Wrinkler	1
R. S. Varga	1
William G. Hawkins	1
Philippe G. Ciarlet	1
Olga Klyubina	1
Gengsheng L. Zeng	1
Mathematisches Forschungsinstitut Oberwolfach	1
Frank Wuebbeling	1
Ge Wang	1
Wenli Wang	1
Christoph Börgers	1
Hermann Kruse	1
Ima Program on Mathematics in High-Performance Computing	1
Johannes Elschner	1
Daniel Gagnon	1
Imaging Therapy	1
Gábor T. Herman	1
Diagnostics	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	A propagation-backpropagation method for ultrasound tomography	1995	Frank Natterer Frank Wübbeling	14
+	A modified gradient method for two- dimensional problems in tomography	1992	R. E. Kleinman P.M. van den Berg	10
+	Nonperturbative Diffraction Tomography via Gauss-Newton Iteration Applied to the Scattering Integral Equation	1992	D.T. Borup Steven A. Johnson Whan-Woo Kim M. J. Berggren	9
+	Regularized Quasi-Newton method for inverse scattering problems	1993	Semion Gutman Michael V. Klibanov	7
+	The Ill-Conditioned Nature of the Limited Angle Tomography Problem	1983	M. E. Davison	4
+	Halbbeschr�nkte gew�hnliche Differentialoperatoren zweiter Ordnung	1950	Franz Rellich	4
+	The radon transform on euclidean space	1966	Donald Ludwig	4
+	Inverse scattering via Heisenberg's uncertainty principle	1997	Yu Chen	4
+	A modified dual space method for solving the electromagnetic inverse scattering problem for an infinite cylinder	1994	David Colton Peter Monk	4
+ PDF Chat	Inverse Acoustic and Electromagnetic Scattering Theory	2012	David Colton Rainer Kreß	4
+	The Radon Transform	1980	Sigurđur Helgason	4
+	Regularisierung schlecht gestellter Probleme durch Projektionsverfahren	1977	Frank Natterer	3
+	Global Uniqueness for a Two-Dimensional Inverse Boundary Value Problem	1996	Adrian Nachman	3
+	A Sobolev Space Analysis of Picture Reconstruction	1980	Frank Natterer	3
+	The Shannon sampling theorem—Its various extensions and applications: A tutorial review	1977	Abdul J. Jerri	3
+	On the convergence of finite-difference approximations to one-dimensional singular boundary-value problems	1970	Pierre Jamet	3
+	Marching schemes for inverse acoustic scattering problems	2005	Frank Natterer Frank Wübbeling	3
+ PDF Chat	The finite element method for ill-posed problems	1977	Frank Natterer	3
+	Optimal Estimation in Approximation Theory	1977	Charles A. Micchelli T. J. Rivlin	3
+	A transport-backtransport method for optical tomography	1998	Oliver Dorn	3
+	An algorithm for 3D ultrasound tomography	2007	Frank Natterer	3
+	Handbook of Mathematical Functions	1972	Milton Abramowitz I. A. Stegun	3
+	Existenznachweis und approximation von eigenwerten und eigenfunktionen mit hilfe eines differenzenverfahrens bei singulären Sturm-Liouvilleschen randwertaufgaben	1962	Roland Bulirsch	3
+	Iterative method for multi-dimensional inverse scattering problems at fixed frequencies	1994	Semion Gutman Michael V. Klibanov	3
+	Fréchet Derivatives for Some Bilinear Inverse Problems	2002	Frank Natterer Helmut Sielschott Oliver Dorn Thomas Dierkes Victor Palamodov	3
+	Numerische Behandlung singulärer Sturm-Liouville-Probleme	1969	Frank Natterer	3
+	A NEW APPROACH TO THE EMISSION COMPUTERIZED TOMOGRAPHY PROBLEM: SIMULTANEOUS CALCULATION OF ATTENUATION AND ACTIVITY COEFFICIENTS	1980	Gábor T. Herman	3
+ PDF Chat	Perturbation Theory for Linear Operators	1995	Tosio Kato	3
+ PDF Chat	On Frechet differentiability of some nonlinear operators occurring in inverse problems: an implicit function theorem approach	1990	T.J. Connolly David J. N. Wall	3
+	An Initial Value Approach to the Inverse Helmholtz Problem at Fixed Frequency	1997	Frank Natterer	3
+	Convergence of a Reconstruction Method for the Inverse Conductivity Problem	1992	David C. Dobson	3
+	The Mathematical Foundations of the Finite Element Method with Applications to Partial Differential Equations	1972	Abdul Kadir Aziz	3
+	Reconstructions From Boundary Measurements	1988	Adrian Nachman	3
+	Regularity of an inverse problem in wave propagation	2007	Gang Bao William W. Symes	2
+	An error bound for the Born approximation	2004	Frank Natterer	2
+	Die zul�ssigen Randbedingrungen bei den singul�ren Eingenwertproblemen der mathematischen Physik	1943	Franz Rellich	2
+	Numerical Methods for Generalized Axially Symmetric Potentials	1965	Seymour V. Parter	2
+	Numerical methods of high-order accuracy for nonlinear boundary value Problems	1967	Philippe G. Ciarlet Martin H. Schultz R. S. Varga	2
+	The theory of Tikhonov regularization for Fredholm equations of the first kind	1984	C. W. Groetsch	2
+	On the numerical solution of a three-dimensional inverse medium scattering problem	2001	Thorsten Hohage	2
+	A Survey of Optimal Recovery	1977	Charles A. Micchelli T. J. Rivlin	2
+ PDF Chat	Finite difference schemes for differential equations	1964	Milton E. Rose	2
+	Les Méthodes directes en théorie des équations elliptiques	1967	Jindřich Nečas Jean Dhombres Marie-Ève Maillé Philippe Robba	2
+ PDF Chat	Iterative time-reversal control for inverse problems	2008	Kenrick Bingham Yaroslav Kurylev Matti Lassas Samuli Siltanen	2
+ PDF Chat	Inverse Problems for Partial Differential Equations	1998	Victor Isakov	2
+	Multidimensional inverse scattering problems	1999	А. Г. Рамм	2
+	Frechet differentiability of boundary integral operators in inverse acoustic scattering	1994	Roland Potthast	2
+	Non-Homogeneous Boundary Value Problems and Applications	1973	J. L. Lions Enrico Magenes	2
+	A nonlinear inversion method for 3D electromagnetic imaging using adjoint fields	1999	Oliver Dorn Hugo Bertete‐Aguirre J.G. Berryman George Papanicolaou	2
+ PDF Chat	A Technique for the Numerical Solution of Certain Integral Equations of the First Kind	1962	David Lee Phillips	2