Harold Weitzner
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American applied mathematician and physicist
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Mathematics Physics
Harold Weitzner's Degrees
- Masters Physics Stanford University
- Bachelors Physics Stanford University
Why Is Harold Weitzner Influential?
(Suggest an Edit or Addition)According to Wikipedia, Harold Weitzner is an American applied mathematician and physicist whose primary research is plasma physics. He is Professor Emeritus of Mathematics at the Courant Institute of Mathematical Sciences and has served as Director of the Magneto-Fluid Dynamics Division at Courant since 1981, succeeding Harold Grad. He has published over 120 research articles on the topics of plasma physics, magnetohydrodynamics, fluid mechanics, fractional equations and kinetics, and chaos.
Harold Weitzner'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
- Numerical study of neoclassical plasma pedestal in a tokamak geometry (2004) (160)
- Some Applications of Fractional Equations (2002) (156)
- Theory of Finite Nuclei (1958) (113)
- A bifurcation problem in E-layer equilibria (1970) (78)
- X-transport: A baseline nonambipolar transport in a diverted tokamak plasma edge (2002) (71)
- Advances in full-wave modeling of radio frequency heated, multidimensional plasmas (2002) (58)
- Conversion between cold plasma modes in an inhomogeneous plasma (1979) (51)
- Ray Tracing near the Electron Cyclotron Frequency with Application to EBT (1980) (49)
- Plasma Oscillations and Landau Damping (1963) (49)
- Large-scale behavior of the tokamak density fluctuations (2000) (48)
- Propagation and absorption of electromagnetic waves in fully relativistic plasmas (1984) (48)
- Exact and approximate solutions to the finite temperature wave equation in a one-dimensional perpendicularly stratified plasma (1988) (42)
- An eikonal expansion of the Vlasov–Maxwell equations valid near cyclotron resonance (1980) (42)
- ICRF wave propagation and absorption in tokamak and mirror magnetic fields: a full-wave calculation (1986) (36)
- Bootstrap current for the edge pedestal plasma in a diverted tokamak geometry (2012) (32)
- Relativistically covariant warm charged fluid beam modeling (1985) (31)
- Endloss from a linear θ- pinch (1975) (28)
- O-X mode conversion in an axisymmetric plasma at electron cyclotron frequencies (2004) (26)
- Whole-volume integrated gyrokinetic simulation of plasma turbulence in realistic diverted-tokamak geometry (2009) (26)
- Analytic field‐reversed equilibria (1981) (25)
- Critical β from Stellarator and Scyllac Expansions (1969) (25)
- Free Boundary Long Helical Wavelength Equilibria (1971) (25)
- A numerical experiment on a second‐order partial differential equation of mixed type (1991) (24)
- Theory of energetic ion transport induced by waves of ion cyclotron range of frequencies in a tokamak plasma (1991) (23)
- Growth rates and spectra for a particular axially symmetric equilibrium (1973) (23)
- Toward a first-principles integrated simulation of tokamak edge plasmas (2008) (22)
- Stability of diffuse high-beta helical systems (1974) (20)
- Global ICRF wave propagation in edge plasma and Faraday shield regions (1990) (20)
- Ideal magnetohydrodynamic equilibrium in a non-symmetric topological torus (2014) (19)
- Lower hybrid waves in the cold plasma model (1985) (19)
- Absorption of waves in the second harmonic resonance layer (1985) (17)
- Motion of a charged particle in a nearly axisymmetric magnetic field (1981) (17)
- On nonexistence of tokamak equilibria with purely poloidal flow (2006) (17)
- Single particle motion near an X point and separatrix (2004) (16)
- Expansions of non-symmetric toroidal magnetohydrodynamic equilibria (2016) (14)
- Stellarator Research Opportunities: A Report of the National Stellarator Coordinating Committee (2018) (13)
- GREEN'S FUNCTION FOR THE LINEARIZED VLASOV EQUATION (1962) (13)
- Absorption of nearly perpendicularly propagating waves in the second harmonic layer (1985) (12)
- Comparison of unstable modes and growth rates in ideal magnetohydrodynamics and guiding center plasmas (1976) (12)
- Green's Function for Two-Dimensional Magnetohydrodynamic Waves. II (1961) (11)
- A reformulation of lower‐hybrid wave propagation and absorption (1984) (11)
- Steady states of a low collisionality, small Larmor radius, Ohmically driven axisymmetric system (1994) (10)
- Low collisionality transport in a torus (1997) (10)
- Directional fractional kinetics. (2001) (10)
- Nearly Free Flow through an Orifice (1969) (10)
- Radiation from a Point Source in a Plasma (1964) (9)
- Boundary conditions for the Darwin model (1989) (9)
- Single‐particle motion in nonaxisymmetric static electric and magnetic fields (1995) (8)
- Geometry effects on ion heating at ion cyclotron frequencies (1983) (8)
- VLF Electromagnetic Radiation in a Magnetoionic Medium (1968) (8)
- Some conservation properties of linearized particle codes (1980) (8)
- Nearly perpendicular wave propagation at the fundamental electron‐cyclotron resonance (1985) (8)
- FUNDAMENTAL INTERACTIONS AND HYPERFRAGMENTS (1958) (8)
- Nonperiodicity in space of the magnetic moment series (1999) (8)
- Cool electron beam steady flows (1987) (8)
- A kinetic full wave theory of strong spatial damping of electron cyclotron waves in nearly parallel stratified plasmas (1987) (8)
- Long‐Wavelength Plasma Oscillations (1964) (8)
- Low collisionality steady state tokamaks (2000) (7)
- Integrated particle simulation of neoclassical and turbulence physics in the tokamak pedestal/edge region using XGC (2007) (7)
- Control of Alpha Particle Transport by Ion Cyclotron Resonance Heating (1990) (7)
- End loss from a theta pinch (1977) (7)
- Effects of force free fields on plasma stability: comments on a paper by W. Schuurman, C. Bodeldijk and R.F. de Vries (1970) (6)
- Magnetohydrodynamic stability of highly elongated axisymmetric equilibria (1977) (6)
- Physics guidelines for the Compact Ignition Tokamak (1986) (6)
- A convergent spectral representation for three‐dimensional inverse magnetohydrodynamic equilibria (1985) (6)
- Extensions of adiabatic invariant theory for a charged particle (2005) (5)
- Low-shear three-dimensional equilibria and vacuum magnetic fields with flux surfaces (2018) (5)
- ION WAVES IN A COLLISIONLESS PLASMA. (1968) (5)
- Magnetic reconnection in 3D fusion devices: non-linear reduced equations and linear current-driven instabilities (2020) (5)
- Moment series expansions for a model kinetic equation (1992) (4)
- Pressure anisotropy stabilization of axisymmetric mirror machines (1978) (4)
- Poloidal field effects on fundamental minority ion cyclotron resonance heating in a tokamak plasma (2000) (4)
- Radial confinement of deeply trapped particles in a non-symmetric magnetohydrodynamic equilibrium (2017) (4)
- Magnetohydrodynamic and double adiabatic stability of compact toroid plasmas (1983) (4)
- Vacuum magnetic fields with exact quasisymmetry near a flux surface. Part 1. Solutions near an axisymmetric surface (2020) (4)
- Report of panel 3: Concept improvement (1992) (4)
- Exact non-symmetric closed line vacuum magnetic fields in a topological torus (2019) (3)
- Green's Function for the Linearized One‐Dimensional Krook Equation with Electric Forces (1963) (3)
- Electron beam equilibria with self‐fields for a free electron laser with a planar wiggler (1988) (3)
- Conditions for the existence of steady state stellarators (1998) (3)
- Ion flow driven by waves in the ion cyclotron frequency range (1999) (3)
- Exponential damping of collisionless plasma oscillations (1965) (3)
- A study of a simple gyrotron equation (2007) (2)
- Stability of long, thin axisymmetric mirror machines (1980) (2)
- Cold relativistic helically symmetric steady flows (1987) (2)
- Steady plasma flow with a shock in a mirror (1977) (2)
- O-X mode conversion in a non-symmetric torus at electron cyclotron frequencies (2016) (2)
- Studies in the Dynamics of a Plasma (2012) (2)
- RayTracing NeartheElectron Cyclotron Frequency withApplication toEBT (1980) (2)
- ICRH in large tokamaks with poloidal magnetic field (2008) (2)
- Fundamental ion-cyclotron frequency heating in tokamaks (1986) (2)
- Response to ''Comment on 'X-transport: A baseline nonambipolar transport in a diverted tokamak plasma edge' '' ÜPhys. Plasmas 10, 1530 Ñ2003Öá (2003) (2)
- Appendix: Variational moment solutions to the Grad–Shafranov equation [Phys. Fluids 24, 1431 (1981)] (1981) (1)
- Mixing in fusion plasmas (2015) (1)
- An adiabatic invariant for single-particle motion in static axisymmetric magnetic fields with large wave-number variations (2006) (1)
- Global ICRH modeling in large noncircular tokamak plasmas with finite temperature (2008) (1)
- Recommendations on the Nature and Level of U.S. Participation in the International Thermonuclear Experimental Reactor (ITER) Extension of the Engineering Design Activities (2000) (1)
- Steady plasma flows in a periodic non-symmetric domain (2021) (1)
- Comments on ’’Magnetohydrodynamic stability of highly elongated axisymmetric equilibria’’ (1977) (1)
- Further studies of a simple gyrotron equation: linear theory (2009) (1)
- On the Validity of Macroscopic Models (1989) (1)
- Introduction to Nonlinear Fluid-Plasma Waves (Bhimsen K. Shivamoggi) (1990) (1)
- Characterization of a class of stellarator steady states (2010) (1)
- Fusion Simulation Project Workshop (2002) (1)
- Edge Pedestal and Er-Layer Formation by X-transport (2003) (1)
- The application of computers to controlled thermonuclear research. A report to the USAEC Division of Controlled Thermonuclear Research (1973) (1)
- Tokamak Transport Based on the Braginskii Model (1987) (1)
- Axisymmetric, Non-Ideal Mhd States With Steady Flow (1983) (1)
- Wave propagation at ion cyclotron resonance in large toroids (2008) (1)
- Outflow boundary conditions for the moments of a particle distribution function (1996) (1)
- Charged particle dynamics near an X-point of a non-symmetric magnetic field with closed field lines (2020) (1)
- Motion of a charged particle in slowly varying electromagnetic fields (1983) (1)
- O‐X Mode Conversion in an Axisymmetric Plasma at Electron Cyclotron Frequencies (2003) (1)
- Strong cyclotron damping of electron cyclotron waves in nearly parallel stratified plasmas (1986) (1)
- Full-wave modeling of ion cyclotron heating in tokamaks (1988) (1)
- New analytic formula for edge bootstrap current (2012) (0)
- Non-symmetric steady ideal magnetohydrodynamic flows in a non-symmetric topological torus (2017) (0)
- Correction to "Ray Tracing near the Electron Cyclotron Frequency with Application to EBT" (1980) (0)
- Nonsymmetric 3D MHD equilibrium and radial localization of trapped particles (2017) (0)
- Further studies of a simple gyrotron model equation (2007) (0)
- Abstract Submitted for the DPP07 Meeting of The American Physical Society (2007) (0)
- Wave propagation across ion cyclotron resonance harmonic layers (2011) (0)
- Time Evolution of Tokamak States with Flow (2014) (0)
- Plasma heating near ion cyclotron resonance harmonic layer (2008) (0)
- XGC Study of the Neoclassical Pedestal Scaling Law (2004) (0)
- Charged particle motion in electromagnetic fields varying moderately rapidly in space (2011) (0)
- Transport in a stellarator with imperfect flux surfaces and quasisymmetry (2009) (0)
- Relativistic Broadening Near Cyclotron Resonance (2011) (0)
- Book review (1991) (0)
- Electrostatic potential and plasma flow near the edge of a divertor tokamak (2002) (0)
- Grad-Shafranov-like equation for stellarators with a non-planar magnetic axis (2010) (0)
- 2D full-wave modeling of ICRH with finite E/parallel/ (1988) (0)
- Wave Propagation in a Plasma Based on the Cold Plasma Model (2015) (0)
- Reconnection scales in W7-X (2019) (0)
- Extension of the Penrose Condition (1966) (0)
- Stellarator Research Opportunities: A Report of the National Stellarator Coordinating Committee (2018) (0)
- Continuing Studies of a Simple Gyrotron Model Equation (2008) (0)
- Wave Propagation in a Plasma Based on the Cold Plasma Model (2015) (0)
- Plasma properties. Annual report, January 1, 1991--December 31, 1991 (1992) (0)
- Nonsymmetric 3D vacuum magnetic fields with surfaces (2018) (0)
- Magneto-Fluid Dynamics Division Relativistic Broadening Near Cyclotron Resonance (0)
- Lower hybrid wave propagation in a tokamak (2008) (0)
- Fractional Kinetics of Chaotic Dynamics of Particles in Complex Systems (2009) (0)
- Comments on “Stability Limitations for Stellarators with Sharp Surfaces” (1970) (0)
- Longitudinal Plasma Oscillations (2011) (0)
- Longitudinal Plasma Oscillations (2011) (0)
- Magnetohydrodynamic Flow Past a Thin Airfoil (2015) (0)
- Report of the Second Fusion Energy Sciences Committee of Visitors (2003) (0)
- Edge plasma studies for ITER and related B2 code development (1992) (0)
- Analysis of a Simple Gyrotron Model (2006) (0)
- Scientific and Programmatic Review of NCSX Stellarator Community Input on Charge Questions (2007) (0)
- Single Particle Motion Near an Axisymmetric Magnetic Field X Point (2003) (0)
- Macroscopic Mode Plasma Stability on MHD Time Scales (2000) (0)
- X-Transport and Its Effects on H-Mode and Edge Pedestal in Tokamaks (2000) (0)
- Report of panel 1: The appropriate scope and mission of ITER (1992) (0)
- Plasma heating in stellarator/torsatrons and tokamaks by ion cyclotron waves (1986) (0)
- Correction to"RayTracing NeartheElectron Cyclotron Frequency withApplication toEBT" (1980) (0)
- Review of The Technical Planning Activity (1988) (0)
- Report of panel 4: Priorities in the intermediate confinement experiments (1992) (0)
- Control of alpha particle transport by spatially inhomogeneous ion cyclotron resonance heating (1990) (0)
- Existence of Low Shear MHD Stellarator Equilibria (2013) (0)
- ICRF heating in a straight, helically symmetric stellarator (1987) (0)
- A new nonlinear collision method for a particle code (2007) (0)
- Study of a Simple Gyrotron System (2009) (0)
- Initial value‐boundary value problem for the bernstein modes (1969) (0)
- Mode Conversion of Electron Cyclotron Frequency Waves in a Non-Stratified Plasma. (2002) (0)
- Equilibrium And Stability Results on Stellarators Based on Formal Asymptotic Expansions (1981) (0)
- Single Particle Motion in Systems with Spatially Rapidly Varying Fields (2005) (0)
- An electrostatic, gyrokinetic-like model for thin layers with large gradients and electrostatic potentials (2007) (0)
- Ideal magnetohydrodynamic equilibrium expansion about a magnetic axis in a non-symmetric torus (2018) (0)
- Reflection of a point disturbance from a conducting wall in two-dimensional magnetohydrodynamics (2010) (0)
- Reflection of a point disturbance from a conducting wall in two-dimensional magnetohydrodynamics (2010) (0)
- Expansion of a MHD equilibrium About a Magnetic Axis (2014) (0)
- Non-symmetric ideal magnetohydrodynamic steady flows (2020) (0)
- A survey of problems in divertor and edge plasma theory (1992) (0)
- Stability of helically symmetric straight equilibria (1982) (0)
- Global ion cyclotron waves in a perpendicularly stratified, one-dimensional warm plasma (1987) (0)
- Theoretical beta limits and stability in noncircular tokamaks including internal separatrices (1978) (0)
- Current and Flow Driven in Thin Layers (2005) (0)
- Ballooning Mode Stability within the Hall-MHD Model (2004) (0)
- Fusion energy advisory committee report on program strategy for U.S. magnetic fusion energy research (1992) (0)
- Expansion of toroidal MHD equilibria about a given flux surface (2015) (0)
- Obituary of George Zaslavsky (2008) (0)
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