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41 relations: Basis function, Coulomb collision, Courant–Friedrichs–Lewy condition, Current density, Debye length, Dusty plasma, Eigenvalues and eigenvectors, Electric field, Fast Fourier transform, Finite difference method, Finite element method, Fluid mechanics, Fortran, Ionosphere, John M. Dawson, Lagrangian and Eulerian specification of the flow field, Leapfrog integration, Lorentz force, Magnetic field, Magnetic reconnection, Magnetohydrodynamics, Maxwell's equations, Maxwell–Boltzmann distribution, Momentum, Monte Carlo method, Multiphase particle-in-cell method, Newton's laws of motion, Number density, Numerical partial differential equations, Oscar Buneman, Partial differential equation, Partition of an interval, Phase space, Plasma (physics), Plasma modeling, Plasma oscillation, Semi-Lagrangian scheme, Solid mechanics, Spectral method, Tokamak, Vacuum arc.
Basis function
In mathematics, a basis function is an element of a particular basis for a function space.
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Coulomb collision
A Coulomb collision is a binary elastic collision between two charged particles interacting through their own electric field.
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Courant–Friedrichs–Lewy condition
In mathematics, the Courant–Friedrichs–Lewy (CFL) condition is a necessary condition for convergence while solving certain partial differential equations (usually hyperbolic PDEs) numerically by the method of finite differences.
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Current density
In electromagnetism, current density is the electric current per unit area of cross section.
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Debye length
In plasmas and electrolytes, the Debye length (also called Debye radius), named after the Dutch physicist and physical chemist Peter Debye, is a measure of a charge carrier's net electrostatic effect in solution and how far its electrostatic effect persists.
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Dusty plasma
A dusty plasma is a plasma containing millimeter (10−3) to nanometer (10−9) sized particles suspended in it.
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Eigenvalues and eigenvectors
In linear algebra, an eigenvector or characteristic vector of a linear transformation is a non-zero vector that changes by only a scalar factor when that linear transformation is applied to it.
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Electric field
An electric field is a vector field surrounding an electric charge that exerts force on other charges, attracting or repelling them.
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Fast Fourier transform
A fast Fourier transform (FFT) is an algorithm that samples a signal over a period of time (or space) and divides it into its frequency components.
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Finite difference method
In mathematics, finite-difference methods (FDM) are numerical methods for solving differential equations by approximating them with difference equations, in which finite differences approximate the derivatives.
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Finite element method
The finite element method (FEM), is a numerical method for solving problems of engineering and mathematical physics.
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Fluid mechanics
Fluid mechanics is a branch of physics concerned with the mechanics of fluids (liquids, gases, and plasmas) and the forces on them.
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Fortran
Fortran (formerly FORTRAN, derived from Formula Translation) is a general-purpose, compiled imperative programming language that is especially suited to numeric computation and scientific computing.
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Ionosphere
The ionosphere is the ionized part of Earth's upper atmosphere, from about to altitude, a region that includes the thermosphere and parts of the mesosphere and exosphere.
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John M. Dawson
John Myrick Dawson (30 September 1930 in Champaign, Illinois – 17 November 2001 in Los Angeles) was an American computational physicist and the father of plasma-based acceleration techniques.
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Lagrangian and Eulerian specification of the flow field
In classical field theory the Lagrangian specification of the field is a way of looking at fluid motion where the observer follows an individual fluid parcel as it moves through space and time.
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Leapfrog integration
In mathematics leapfrog integration is a method for numerically integrating differential equations of the form or equivalently of the form particularly in the case of a dynamical system of classical mechanics.
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Lorentz force
In physics (particularly in electromagnetism) the Lorentz force is the combination of electric and magnetic force on a point charge due to electromagnetic fields.
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Magnetic field
A magnetic field is a vector field that describes the magnetic influence of electrical currents and magnetized materials.
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Magnetic reconnection
Magnetic reconnection is a physical process in highly conducting plasmas in which the magnetic topology is rearranged and magnetic energy is converted to kinetic energy, thermal energy, and particle acceleration.
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Magnetohydrodynamics
Magnetohydrodynamics (MHD; also magneto-fluid dynamics or hydro­magnetics) is the study of the magnetic properties of electrically conducting fluids.
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Maxwell's equations
Maxwell's equations are a set of partial differential equations that, together with the Lorentz force law, form the foundation of classical electromagnetism, classical optics, and electric circuits.
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Maxwell–Boltzmann distribution
In physics (in particular in statistical mechanics), the Maxwell–Boltzmann distribution is a particular probability distribution named after James Clerk Maxwell and Ludwig Boltzmann.
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Momentum
In Newtonian mechanics, linear momentum, translational momentum, or simply momentum (pl. momenta) is the product of the mass and velocity of an object.
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Monte Carlo method
Monte Carlo methods (or Monte Carlo experiments) are a broad class of computational algorithms that rely on repeated random sampling to obtain numerical results.
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Multiphase particle-in-cell method
The multiphase particle-in-cell method (MP-PIC) is a numerical method for modeling particle-fluid and particle-particle interactions in a computational fluid dynamics (CFD) calculation.
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Newton's laws of motion
Newton's laws of motion are three physical laws that, together, laid the foundation for classical mechanics.
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Number density
In physics, astronomy, chemistry, biology and geography, number density (symbol: n or ρN) is an intensive quantity used to describe the degree of concentration of countable objects (particles, molecules, phonons, cells, galaxies, etc.) in physical space: three-dimensional volumetric number density, two-dimensional areal number density, or one-dimensional line number density.
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Numerical partial differential equations
Numerical partial differential equations is the branch of numerical analysis that studies the numerical solution of partial differential equations (PDEs).
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Oscar Buneman
Oscar Buneman (28 September 1913 – 24 January 1993) made advances in science, engineering, and mathematics.
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Partial differential equation
In mathematics, a partial differential equation (PDE) is a differential equation that contains unknown multivariable functions and their partial derivatives.
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Partition of an interval
In mathematics, a partition of an interval on the real line is a finite sequence of real numbers such that In other terms, a partition of a compact interval is a strictly increasing sequence of numbers (belonging to the interval itself) starting from the initial point of and arriving at the final point of.
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Phase space
In dynamical system theory, a phase space is a space in which all possible states of a system are represented, with each possible state corresponding to one unique point in the phase space.
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Plasma (physics)
Plasma (Henry George Liddell, Robert Scott, A Greek English Lexicon, on Perseus) is one of the four fundamental states of matter, and was first described by chemist Irving Langmuir in the 1920s.
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Plasma modeling
Plasma Modeling refers to solving equations of motion that describe the state of a plasma.
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Plasma oscillation
Plasma oscillations, also known as Langmuir waves (after Irving Langmuir), are rapid oscillations of the electron density in conducting media such as plasmas or metals in the ultraviolet region.
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Semi-Lagrangian scheme
The Semi-Lagrangian scheme (SLS) is a numerical method that is widely used in numerical weather prediction models for the integration of the equations governing atmospheric motion.
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Solid mechanics
Solid mechanics is the branch of continuum mechanics that studies the behavior of solid materials, especially their motion and deformation under the action of forces, temperature changes, phase changes, and other external or internal agents.
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Spectral method
Spectral methods are a class of techniques used in applied mathematics and scientific computing to numerically solve certain differential equations, potentially involving the use of the Fast Fourier Transform.
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Tokamak
A tokamak (Токамáк) is a device that uses a powerful magnetic field to confine a hot plasma in the shape of a torus.
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Vacuum arc
A vacuum arc can arise when the surfaces of metal electrodes in contact with a good vacuum begin to emit electrons either through heating (thermionic emission) or in an electric field that is sufficient to cause field electron emission.
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References
[1] https://en.wikipedia.org/wiki/Particle-in-cell
