Paul Garabedian | Academic Influence

Paul Garabedian's AcademicInfluence.com Rankings

Paul Garabedian

Mathematics

#439

World Rank

#876

Historical Rank

#200

USA Rank

Applied Mathematics

#48

World Rank

#56

Historical Rank

#26

USA Rank

Measure Theory

#942

World Rank

#1227

Historical Rank

#350

USA Rank

mathematics Degrees

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Mathematics

Paul Garabedian's Degrees

PhD Mathematics New York University
Masters Mathematics New York University
Bachelors Mathematics City College of New York

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Why Is Paul Garabedian Influential?

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According to Wikipedia, Paul Roesel Garabedian was a mathematician and numerical analyst. Garabedian was the Director-Division of Computational Fluid Dynamics at the Courant Institute of Mathematical Sciences, New York University. He is known for his contributions to the fields of computational fluid dynamics and plasma physics, which ranged from elegant existence proofs for potential theory and conformal mappings to the design and optimization of stellarators. Garabedian was elected a member of the National Academy of Sciences in 1975.

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Paul Garabedian'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

Supercritical Wing Sections II (1974) (344)
Partial Differential Equations (1964) (214)
Convexity of domain functionals (1952) (154)
A partial differential equation arising in conformal mapping (1951) (137)
Analysis of transonic airfoils. (1971) (132)
On steady-state bubbles generated by Taylor instability (1957) (132)
Calculation of axially symmetric cavities and jets. (1956) (127)
Lectures on partial differential equations (1964) (106)
The ARIES-CS Compact Stellarator Fusion Power Plant (2008) (100)
Magnetohydrodynamic Equilibrium and Stability of Stellarators (1984) (94)
Schwarz’s lemma and the Szegö kernel function (1949) (92)
Design of supercritical swept wings (1982) (89)
A computational method in plasma physics (1978) (88)
Stellarators with the magnetic symmetry of a tokamak (1996) (88)
Oblique water entry of a wedge (1953) (66)
Surface waves of finite depth (1965) (60)
Partial Differential Equations with More than Two Independent Variables in the Complex Domain (1960) (55)
A Theory of Supercritical Wing Sections, with Computer Programs and Examples (1972) (55)
Estimation of the relaxation factor for small mesh size (1956) (53)
The local maximum theorem for the coefficients of univalent functions (1967) (52)
A COEFFICIENT INEQUALITY FOR SCHLICHT FUNCTIONS (1955) (52)
Axially Symmetric Cavitational Flow (1952) (52)
Complex boundary value problems (1952) (50)
On the Numerical Calculation of Detached Bow Shock Waves in Hypersonic Flow (1958) (48)
NUMERICAL DESIGN OF TRANSONIC AIRFOILS**The work presented in this paper is supported by the AEC Computing and Applied Mathematics Center, Courant Institute of Mathematical Sciences, New York University, under Contract AT(30-1)-1480 with the U. S. Atomic Energy Commission. (1971) (44)
Identities in the theory of conformal mapping (1949) (42)
Variational Problems in the Theory of Elliptic Partial Differential Equations (1953) (41)
Supercritical Wing Sections III (1977) (41)
Extremal Methods in Cavitational Flow (1952) (37)
The mathematical theory of three-dimensional cavities and jets (1956) (28)
Free boundary flows of a viscous liquid (1966) (27)
Computational Fluid Dynamics of Airfoils and Wings (1982) (26)
Physics Design for ARIES-CS (2008) (25)
Three-dimensional analysis of tokamaks and stellarators (2008) (23)
On Existence Theorems of Potential Theory and Conformal Mapping (1950) (21)
A remark about pointed bubbles (1985) (21)
Equilibrium and stability code for a diffuse plasma. (1976) (21)
Tokamak transport driven by quasi-neutrality and helical asymmetry (1992) (21)
Beta limits for torsatrons. (1981) (19)
Reactors with Stellarator Stability and Tokamak Transport (2005) (19)
Orthogonal harmonic polynomials. (1953) (18)
Three-dimensional codes to design stellarators (2002) (17)
A stellarator configuration for reactor studies (1994) (17)
Quasiaxially symmetric stellarators with three field periods (1999) (17)
Numerical Construction of Detached Shock Waves (1957) (16)
A Green's Function in the Theory of Functions of Several Complex Variables (1952) (16)
An integral equation governing electromagnetic waves (1955) (15)
On the Boundary Values of Harmonic Functions (1985) (15)
Design of the DEMO Fusion Reactor Following ITER (2009) (15)
A complex tensor calculus for Kähler manifolds (1953) (15)
The beta equilibrium, stability, and transport codes: applications to the design of stellarators (1987) (14)
A systematic method for computer design of supercritical airfoils in cascade (1976) (14)
Three-dimensional equilibria in axially symmetric tokamaks (2006) (14)
Lecture notes in economics and mathematical system. Volume 150: Supercritical wing sections 3 (1977) (14)
Nonlinear magnetohydrodynamic stability (1981) (14)
Recent progress in the design of stellarator experiments (1997) (13)
Analyticity and reflection for plane elliptic systems (1961) (13)
A Unified theory of tokamaks and stellarators (1994) (12)
THE ONE-QUARTER THEOREM FOR MEAN UNIVALENT FUNCTIONS (1954) (12)
Stability calculations for the m = 1/n = 1 mode in heliotron configurations using the three-dimensional MHD equilibrium and stability (BETA) code (1986) (12)
APPLICATIONS OF ANALYTIC CONTINUATION TO THE SOLUTION OF BOUNDARY VALUE PROBLEMS (1954) (12)
On estimation of electrostatic capacity (1954) (11)
The NYU inverse swept wing code (1983) (11)
The classes _{} and conformal mapping (1950) (11)
On the shape of electrified droplets (1965) (10)
Computation of wave drag for transonic flow (1976) (10)
Stability of Cauchy's Problem in Space for Analytic Systems of Arbitrary Type (1960) (10)
A new formalism for functions of several complex variables (1951) (9)
Three-dimensional stellarator codes (2002) (9)
Computational mathematics and physics of fusion reactors (2003) (9)
Nonparametric solution of the euler equations for steady flow (1983) (9)
Reduction of bootstrap current in the Modular Helias‐like Heliac stellarator (1995) (8)
Confinement and transport in stellarators (1985) (8)
Choice of coils for a fusion reactor (2007) (8)
SOLUTION OF FREE BOUNDARY PROBLEMS BY THE METHOD OF STEEPEST DESCENT. (1969) (8)
Distortion of length in conformal mapping (1949) (8)
Supercritical wing sections II: A handbook (1975) (8)
Computer simulation of the toroidal equilibrium and stability of a plasma in three dimensions. (1975) (8)
Optimization of Stellarator Reactor Parameters (2005) (7)
Computational Models in Fusion Research (1989) (7)
Numerical studies of new stellarator concepts (1980) (7)
ON SUBSONIC FLOW OF A COMPRESSIBLE FLUID (1953) (7)
MAGNETOHYDRODYNAMIC STABILITY OF FUSION PLASMAS (1998) (7)
New Classes of Quasi-Axisymmetric Stellarator Configurations (2005) (7)
Description of the Computer Code (1978) (6)
An extension of Grunsky’s inequalities bearing on the Bieberbach conjecture (1967) (6)
A method of canonical coordinates for flow computations (1970) (6)
An unsolvable equation (1970) (6)
Finite β stellarators (1981) (5)
Monte carlo calculation of transport for three‐dimensional magnetohydrodynamic equilibria (1986) (5)
On a Double Integral Variational Problem (1954) (5)
Inequalities for the fifth coefficient (1966) (5)
Ga0.47In0.53As photovoltaic booster cells for tandem solar energy conversion (1989) (5)
A method of computational magnetohydrodynamics defining stable Scyllac equilibria. (1977) (4)
Three-dimensional tokamak equilibria and stellarators with two-dimensional magnetic symmetry (1997) (4)
Univalent functions and the Riemann mapping theorem (1976) (4)
Numerical analysis of equilibria with islands in magnetohydrodynamics (1982) (4)
Quasi-axially symmetric stellarators. (1998) (4)
Computer simulation of shock wave boundary layer interaction (1973) (4)
On the design of airfoils having no boundary layer separation (1975) (4)
Finite Difference Scheme (1984) (4)
The method of complex characteristics for transonic airfoil design, with an application to compressors (1985) (4)
THE SHARP FORM OF THE PRINCIPLE OF HYPERBOLIC MEASURE (1950) (3)
On solution of partial differential equations by the Hahn-Banach theorem (1954) (3)
Mechanically stacked two-tandem concentrator solar cell concept (1990) (3)
Complex Analysis of Transonic Flow (1998) (3)
Lectures on Functional Theory and Partial Differential Equations (1963) (3)
Transonic flow theory of airfoils and wings (1976) (3)
A Remark on Cavitational Flow. (1952) (2)
Physics assessment of stellarators as fusion power plants (1995) (2)
Shorter Notes: An Unsolvable Equation (1970) (2)
Electron transport in bifurcated tokamak equilibria (1991) (2)
The DEMO Quasisymmetric Stellarator (2010) (2)
Recent Advances at Stanford in the Application of Conformal Mapping to Hydrodynamics (1954) (2)
Bifurcated equilibria and magnetic islands in tokamaks and stellarators (2006) (2)
Comparison of numerical methods in transonic aerodynamics (1993) (2)
Supercritical wing sections II: A handbook. [numerical computations (1975) (2)
Compact stellarators with modular coils. (2000) (2)
THE NOVEMBER MEETING IN LOS ANGELES (2007) (2)
A remark on the moduli of Riemann surfaces of genus 2 (1950) (2)
On the mathematical theory of vortex sheets (1988) (1)
Cavitational Flow and Magnetohydrodynamics (2004) (1)
Monte Carlo estimation of the electric field in stellarators. (1986) (1)
Magnetic flux surfaces in a stellarator field (1979) (1)
Supercritical wing sections 2, volume 108 (1975) (1)
Nonlinear saturation of ballooning modes in tokamaks and stellarators. (1988) (1)
Supercritical wing sections. III. [codes K and corrections to H, in FORTRAN IV for CDC 6600] (1977) (1)
Configurations for a proof of principle stellarator experiment. (2000) (1)
Bow waves in hypersonic flow (1957) (1)
Variational Methods in Cavitational Flow (2001) (1)
Princeton Plasma Physics Laboratory New Classes of Quasi-axisymmetric Stellarator Confi gurations (2005) (1)
A simple proof of a simple version of the Riemann mapping theorem by simple functional analysis (1991) (1)
OPTIMIZATION OF THE MHH STELLARATOR (1997) (1)
Asymptotic Identities Among Periods of Integrals of the First Kind (1951) (1)
The DEMO Quasisymmetric Stellarator | NIST (2010) (0)
Quasi-Axially Symmetric Stellarators with 3 Field Periods (1998) (0)
Description of the Computer Code BETA (1984) (0)
Influence of D-Shaped Plasma Cross Section on m_=_1 and m_=_2 Modes (1978) (0)
An Example of Axially Symmetric Flow with a Free Surface (2013) (0)
The Variational Principle (1978) (0)
Differential equations for the magnetic confinement of a plasma (1986) (0)
Equilibrium, Stability and Transport in the LHD Stellarator (2000) (0)
HOW THE DEMO FUSION REACTOR SHOULD LOOK IF ITER FAILS (2009) (0)
A InP Lattice-Matched Ga0.47.In0.53As Cell for Multispectral Photovoltaics (1987) (0)
Theory of Stellarators and Tokamaks in Three Dimensions (2007) (0)
Transonic airfoil codes (1979) (0)
Transonic airfoil design code (1977) (0)
Plots and Tables of Results (1977) (0)
Shockless airfoils for wings, compressors, and turbines (1980) (0)
Transonic flow behind a detached shock wave (1964) (0)
Users Manual for the Design Code (1977) (0)
Bifurcated Equilibria and Magnetic Islands in Tokamaks (2005) (0)
Fortran Listings of the Codes (1977) (0)
Error Estimates for Nonlinear 3-d Computations in Magnetohydrodynamics (1978) (0)
A problem of Robinson (1949) (0)
ABSTRACT. A linear partial differential equation that is not solv- able is obtained by a very simple transformation of the Cauchy- (2016) (0)
Recollections of Menahem Max Schiffer (2013) (0)
Computational methods for the problems of the tip vortex (1988) (0)
GA – A 24758 EQUILIBRIUM AND STABLITY FOR THE ARIES COMPACT STELLERATOR REACTOR by (2004) (0)
Defense Technical Information Center Compilation Part Notice ADP 012076 TITLE : Variational Methods in Cavitational Flow (0)
Survey of Some Recent Progress in Transonic Aerodynamics (1974) (0)
Failure of uniqueness in transonic flow (1992) (0)
Colloquium on boundary value problems : Amsterdam 20.05.1958 : organized by the Mathematical Centre at Amsterdam under the chairmanship of D. van Dantzig (1958) (0)
Listing of Code BETA with Comment Cards (1984) (0)
Lecture Notes in Economics and Mathematical Systems Managing (2005) (0)
Ga0.47In0.53As cells for GaAs-stacked photovoltaic tandems (1989) (0)
ON EXISTENCE THEOREMS OF POTENTIAL THEORY AND (2016) (0)
OF WISCONSIN MADISON WISCONSIN Optimization of Stellarator Reactor Parameters (2005) (0)
Toroidally Symmetric Stellarators (2008) (0)
(stellarators/magnetohydrodynamics/equilibrium and stability code/n (2016) (0)
The Method of Complex Characteristics (1977) (0)
Differential equations for the magnetic confinement of a plasma (1993) (0)
Aspects of supercritical wing theory (1987) (0)
A REMARK ON CA VITA TIONAL FLOW (2005) (0)
Donald C. Spencer (1912-2001), Volume 51, Number 1 (2003) (0)
COMPUTATIONAL TRANSONICS In honor of the sixtieth birthday of (1988) (0)
Problems in mathematical physics connected with the Bieberbach conjecture (1986) (0)
Proposal for a modular stellarator (1997) (0)
QUATOS: A University-Scale Test of the Quasi-Toroidal Stellarator Concept (2000) (0)
Remarks about local maxima of the coefficients of univalent functions (1970) (0)
Equilibrium and stability for compact stellarators (2003) (0)
Transonic flow about airfoils (1978) (0)
Design of a large helical system for magnetic fusion experiments (1989) (0)
Two-Dimensional Analysis Code (1977) (0)
Computational Fluid Dynamics and Transonic Flow. (1994) (0)
EQUILIBRIUM AND STABILITY FOR THE ARIES COMPACT STELLERATOR REACTOR (2004) (0)
COEFFICIENT INEQUALITY FOR SCHLIGHT FUNCTIONS (1954) (0)
Theory of Ballooning Modes in Stellarators and Tokamaks (1997) (0)
The ATF-1 and the WISTOR-U (1984) (0)
How the DEMO Fusion Reactor Could Look When ITER Ends (2009) (0)
The Mercier Criterion (1984) (0)
Synopsis of the Method (1984) (0)
How DEMO Should Look if ITER Fails (2008) (0)
MHD stability of the MHH2 stellarator (1998) (0)
Design And Stability Of A Toroidally Symmetric Stellarator (1997) (0)
ON ESTIMATION OF ELECTROSTATIC CAPACITY 1 (2010) (0)
A Comment About Schiffer's Differential Equation (1987) (0)
The Discrete Equations (1978) (0)
Numerical design of shockless airfoils (1979) (0)

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