A Compact Cylindrical Green’s Function Expansion for the Solution of Potential Problems
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- Type
- article
- Published
- 1999-12-10
- Cited by
- 136
- References
- 32
- Access
- Open access
- OpenAlex
- https://openalex.org/W1972097953
- Semantic Scholar
- https://api.semanticscholar.org/CorpusID:6953523
Keywords
Bessel function, Physics, Legendre function, Expression (computer science), Spherical harmonics
References
- Evolution of the velocity distribution in galactic disks
- Potential-Density Basis Sets for Galactic Disks
- Potential–density pairs for flat galaxies
- Evolution of rotating interstellar clouds. I - Numerical techniques
- DYNAMICS OF FLAT GALAXIES. I.
- Handbook of Mathematical Functions with Formulas
- Circumstellar ring formation in rapidly rotating protostars
- Second-order-accurate radiative hydrodynamics and multidimensional protostellar collapse
- The fragmentation of isothermal rings and star formation.
- The breakup of self-gravitating rings, tori, and thick accretion disks
- Collapse and relaxation of rotating stellar systems
- Fragmentation of rotating protostellar clouds
- Handbook of Mathematical Functions With Formulas, Graphs and Mathematical Tables (National Bureau of Standards Applied Mathematics Series No. 55)
- Collapse and equilibrium of rotating, adiabatic clouds
- A hierarchical O(N log N) force-calculation algorithm
- The Stability of Thick, Self-Gravitating Disks in Protostellar Systems.
- Bessel Functions. (Scientific Books: A Treatise on the Theory of Bessel Functions)
- Use of multiply nested grids for the solution of flux-limited radiation diffusion and hydrodynamics
- Simulating self-gravitating hydrodynamic flows
- The solution of Poisson''s equation for isolated source distributions
Cited by
- Discrete Fourier Inversion of Linear Inhomogeneity
- Gravité des systèmes verticalement homogènes : applications aux disques astrophysiques
- A Direct Solver for the Rapid Solution of Boundary Integral Equations on Axisymmetric Surfaces in Three Dimensions
- Determination of normalized electric eigenfields in microwave cavities with sharp edges
- Evolution of Self-Gravitating Magnetized Disks. I. Axisymmetric Simulations
- Scaling in complex systems: analytical theory of charged pores
- The effect of MHD turbulence on massive protoplanetary disk fragmentation
- The vector potential of a circular cylindrical antenna in terms of a toroidal harmonic expansion
- Magnetic Braking and Protostellar Disk Formation: The Ideal MHD Limit
- An Approximate Solver for Riemann and Riemann-like Ellipsoidal Configurations
- Numerical Methods for the Simulation of Dynamical Mass Transfer in Binaries
- Rotation Curves of Galactic Disks for Arbitrary Surface Density Profiles: A Simple and Efficient Recipe
- A NUMERICAL METHOD FOR STUDYING SUPER-EDDINGTON MASS TRANSFER IN DOUBLE WHITE DWARF BINARIES
- General formulation of the resistive wall mode coupling equations
- Derivatives with respect to the degree and order of associated Legendre functions for |z|>1 using modified Bessel functions
- Excitons in rolled up nanotubes of type-II semiconductor quantum wells: Theoretical study of a quasi-one-dimensional bosonic gas
- Evolution of Self-Gravitating Magnetized Disks. II. Interaction between Magnetohydrodynamic Turbulence and Gravitational Instabilities
- Fourier and Gegenbauer expansions for a fundamental solution of the Laplacian in the hyperboloid model of hyperbolic geometry
- A high-order Nyström discretization scheme for boundary integral equations defined on rotationally symmetric surfaces
- Accurate Numerical Potential and Field in Razor-thin, Axisymmetric Disks
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