Charles W. Groetsch

Charles W. Groetsch's AcademicInfluence.com Rankings

Charles W. Groetsch

Mathematics

#7421

World Rank

#10094

Historical Rank

Applied Mathematics

#353

World Rank

#380

Historical Rank

Measure Theory

#2321

World Rank

#2776

Historical Rank

mathematics Degrees

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Mathematics

Why Is Charles W. Groetsch Influential?

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According to Wikipedia, Charles William Groetsch is an American applied mathematician and numerical analyst. Education and career Groetsch graduated from the University of New Orleans with B.S. in 1966 and M.S. in 1968. He was from 1966 to 1968 an engineer and applied mathematician in Boeing's Space Division, Launch Systems Branch. In 1971 he received his PhD in mathematics from Louisiana State University in 1971. At the University of Cincinnati he was an assistant professor from 1971 to 1975, an associate professor from 1976 to 1981, and a full professor from 1981 to 2006. There he was head of the department of mathematical sciences from 1985 to 1990. At The Citadel, the Military College of South Carolina, he was the founding dean of the School of Science and Mathematics from 2006 to 2011 and is the Citadel Distinguished Professor of Mathematical Science since 2011.

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Charles W. Groetsch's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

The theory of Tikhonov regularization for Fredholm equations of the first kind (1984) (1271)
Inverse Problems in the Mathematical Sciences (1993) (636)
Inverse and Ill-Posed Problems (1987) (353)
Generalized inverses of linear operators (1977) (188)
Generalized inverses of linear operators : representation and approximation (1977) (180)
Nonstationary Iterated Tikhonov Regularization (1998) (149)
A Note on Segmenting Mann Iterates (1972) (136)
Regularization of Ill-Posed Problems. (1978) (109)
Differentiation of approximately specified functions (1991) (77)
Integral equations of the first kind, inverse problems and regularization: a crash course (2007) (76)
Inverse Problems: Activities for Undergraduates (1999) (67)
Inverse Scale Space Theory for Inverse Problems (2001) (57)
On Generalized Bernstein Polynomials (1974) (56)
Stable Approximate Evaluation of Unbounded Operators (2006) (49)
Lanczos' Generalized Derivative (1998) (49)
Elements of applicable functional analysis (1980) (48)
Comments on Morozov’s Discrepancy Principle (1983) (47)
Weakly closed nonlinear operators and parameter identification in parabolic equations by tikhonov regularization (1994) (43)
Matrix methods and applications (1988) (41)
Convergence analysis of a regularized degenerate kernel method for Fredholm integral equations of the first kind (1990) (36)
Arcangeli’s method for Fredholm equations of the first kind (1987) (28)
Spectral methods for linear inverse problems with unbounded operators (1992) (28)
Asymptotic convergence rate of arcangeli's method for III-posed problems (1984) (24)
Numerical approximation of solutions of a nonlinear inverse problem arising in olfaction experimentation (2006) (24)
Averaging iteration in a Banach space (1969) (23)
Representations of the generalized inverse (1975) (22)
Regularization of ill-posed problems: optimal parameter choice in finite dimensions (1989) (21)
Tartaglia's Inverse Problem in a Resistive Medium (1996) (21)
Non‐stationary iterated Tikhonov–Morozov method and third‐order differential equations for the evaluation of unbounded operators (2000) (21)
On the asymptotic order of accuracy of Tikhonov regularization (1983) (20)
Asymptotic theory of filtering for linear operator equations with discrete noisy data (1987) (18)
Uniform convergence of regularization methods for Fredholm equations of the first kind (1985) (17)
The Optimal Order of Convergence for Stable Evaluation of Differential Operators (1993) (15)
Optimal order of accuracy in Vasin's method for differentiation of noisy functions (1992) (15)
Linear Inverse Problems (2015) (14)
On the optimal angle of projection in general media (1997) (13)
Inverse Problems and Torricelli's Law (1993) (13)
Halley's Comment—Projectiles With Linear Resistance (1997) (10)
Extrapolation and the method of regularization for generalized inverses (1979) (10)
On the degree of approximation by Bernstein polynomials (1975) (9)
Inclusions and Identities for the Moore‐Penrose Inverse of a Closed Linear Operator (1995) (9)
Integral equation models for the inverse problem of biological ion channel distributions (2007) (8)
A nonstationary iterative process for nonexpansive mappings (1974) (7)
The delayed emergence of regularization theory (2003) (7)
Generalized inverses and generalized splines (1980) (7)
Regularized Product Integration for Hadamard Finite Part Integrals (1995) (6)
Timing Is Everything: The French Connection (2003) (6)
ARISTOTLE'S FALL (1998) (6)
On rates of convergence for approximations to the generalized inverse (1979) (6)
Projection-regularization methods for linear operator equations of the first kind (1988) (5)
The Bernstein Polynomials and Finite Differences (1973) (5)
Regularized Ritz approximations for Fredholm equations of the first kind (1985) (5)
Regularization with linear equality constraints (1986) (5)
Ergodic theory and iterative solution of linear operator equations (1976) (4)
Another Broken Symmetry (2005) (4)
Convergence of a Numerical Algorithm for a Nonlinear Heat Transfer Problem (1985) (4)
Some Aspects of Mann's Iterative Method for Approximating Fixed Points (1977) (4)
APPLIED INVERSE PROBLEMS IN OPTICS (1987) (4)
Inclusions for the Moore-Penrose Inverse with Applications to Computational Methods (1993) (4)
A product integral representation of the generalized inverse (1975) (4)
An elementary mathematical problem arising in diatom taxonomy (1981) (4)
Some Methodology for Inverse Problems (1993) (3)
Halley's Gunnery Rule (1997) (3)
On existence criteria and approximation procedures for integral equations of the first kind (1975) (3)
The Commandant's Corollary (2000) (3)
Inverse Problems (1999) (3)
Steepest Descent and Least Squares Solvability (1974) (3)
The method of weighting and approximation of restricted pseudosolutions (1987) (3)
A General Framework for Regularized Evaluation of Unstable Operators (1996) (3)
A Celestial Cubic (2001) (2)
The saturation phenomena for Tikhonov regularization (1983) (2)
Sequential regularization of ill-posed problems involving unbounded operators (1977) (2)
The Depletion Ratio (2008) (2)
Vertical Projection in a Resisting Medium: Reflections on Observations of Mersenne (2014) (2)
An iterative stabilization method for the evaluation of unbounded operators (2005) (2)
Dykstra's Algorithm and a Representation of the Moore-Penrose Inverse (2002) (2)
Tartaglia's Bet (2004) (1)
95.19 Spurt optimization (2011) (1)
A simple numerical model for nonlinear warming of a slab (1991) (1)
Nascent function concepts in Nova Scientia (2004) (1)
M. Zuhair Nashed: A Biographical Tribute (2008) (1)
Mathematical Background for Inverse Problems (1993) (1)
Harriot’s Observation of Resisted Trajectories (2021) (1)
A Numerical method for the Surface Temperature of a Sphere under Nonlinear Boundary Conditions (1994) (1)
Parameter Estimation in Differential Equations: Model Identification (1993) (1)
A higher order approximation technique for restricted linear least-squares problems (1988) (0)
REVIEWS AND DESCRIPTIONS OF TABLES AND BOOKS (2010) (0)
Uniform Approximation operators Generated by a Power Series Identity (1975) (0)
Galileo's trajectory with mild resistance (2012) (0)
IDENTIFICATION OF THE LOCAL SPEED FUNCTION IN A LÉVY MODEL FOR OPTION PRICING (2008) (0)
Numerical Regularization of Ill-Posed Problems. (1980) (0)
Hofmann, B., Regularization for Applied Inverse and Ill‐Posed Problems. Leipzig, B. G. Teubner 1986. 196 S., 3 Abb., M 19,—. ISBN 3‐322‐00341‐8 (Teubner‐Texte zur Mathematik 85) (1988) (0)
Error Level Saturation for Popoff’s Generalized Derivative Operator (2012) (0)
An Annotated Bibliography on Inverse Problems (1993) (0)
Inverse Problems Modeled by Integral Equations of the First Kind: Causation (1993) (0)
Hammer and Feather: Some Calculus of Mass and Fall Time (2017) (0)
Two trajectories: a dynamic monkey tale (2018) (0)
Convex Iteration Procedures and a Related Class of Summability Methods. (1971) (0)
Matter Gravitates, but Does Gravity Matter? (2011) (0)
Computational Methods for Integral Equations (L. M. Delves and J. L. Mohamed) (1987) (0)
On the Kryanev‐Lardy Method for III‐Posed Problems (1980) (0)
Inversion exercises inspired by mechanics (2016) (0)
Numerical Solution of a Class of Integral Equations Arising in a Biological Laboratory Procedure (2010) (0)
De Morgan′s Series Test (2016) (0)
Geophysically motivated inverse problems for the classroom (1995) (0)
Regularization and Stabilization of Inverse Problems (2000) (0)
Kendall Eugene Atkinson: An Appreciation (2006) (0)
Regularization of some one-dimensional inverse problems for identification of nonlinear surface phenomena. (1995) (0)
Two remarks on the gradient method (1975) (0)
A Converse Result for the Tikhonov—Morozov Method (2006) (0)
A Finite-dimensional Stabilized Variational Method for Unbounded Operators (2006) (0)
Nonstationary lterated Tikhonov Regularization (1996) (0)
The Forsythe-Motzkin method for singular linear operator equations (1978) (0)
Suspension Bridge Profiles (2010) (0)
SHAPES OF CENTROIDS AS INVERSE PROBLEMS (1993) (0)
96.28 Spurtacular Fountains (2012) (0)
FROM MEDIEVAL SCHOLASTICISM TO COSMIC EXPLORATION IN THREE PROBLEMS (2005) (0)

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Published Works

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Charles W. Groetsch's AcademicInfluence.com Rankings