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Longer titles found: Uniqueness theorem for Poisson's equation (view)

searching for Poisson's equation 19 found (190 total)

Discrete Poisson equation (1,963 words) [view diff] exact match in snippet view article find links to article

fluid and V {\displaystyle V} is the velocity vector. The discrete Poisson's equation arises in the theory of Markov chains. It appears as the relative

Ion acoustic wave (2,461 words) [view diff] exact match in snippet view article find links to article

already solved for the electric field, we cannot also find it from Poisson's equation. The ion momentum equation now relates n i 1 {\displaystyle n_{i1}}

List of things named after Siméon Denis Poisson (218 words) [view diff] no match in snippet view article find links to article

1840), a French mathematician. Poisson’s Equations (thermodynamics) Poisson’s Equation (rotational motion) Schrödinger–Poisson equation Vlasov–Poisson equation

Sack–Schamel equation (2,168 words) [view diff] exact match in snippet view article find links to article

{\displaystyle E(x,t)=-\partial _{x}\varphi (x,t)} , which satisfies Poisson's equation, ∂ x 2 φ = e φ − n {\displaystyle \partial _{x}^{2}\varphi =e^{\varphi

Navarro–Frenk–White profile (2,053 words) [view diff] exact match in snippet view article find links to article

\langle \rho ^{2}\rangle _{R_{s}}={\frac {7}{8}}\rho _{0}^{2}} Solving Poisson's equation gives the gravitational potential Φ ( r ) = − 4 π G ρ 0 R s 3 r ln

Two-stream instability (929 words) [view diff] exact match in snippet view article find links to article

equation of motions for both species, to the equation of continuity, and Poisson's equation, and introducing the spatial and temporal harmonic operators ∂ t →

Smoothed finite element method (2,415 words) [view diff] exact match in snippet view article find links to article

fundamental problem addressed by SFEM is typically the solution of Poisson's equation with Dirichlet boundary conditions, given as follows: Δu+f=0 in Ω

Band offset (1,381 words) [view diff] exact match in snippet view article find links to article

imbalance between the two semiconductors, and can be described by Poisson's equation. The behaviour of semiconductor heterojunctions depend on the alignment

Weyl metrics (2,108 words) [view diff] exact match in snippet view article find links to article

consistency relation or integrability condition. Unlike the nonlinear Poisson's equation Eq(7.b), Eq(8.b) is the linear Laplace equation; that is to say, superposition

P–n junction (2,740 words) [view diff] exact match in snippet view article find links to article

equilibrium concentrations of electrons and holes respectively. Thus, by Poisson's equation: − d 2 V d x 2 = ρ ε = q ε [ ( P 0 − N 0 ) + ( C D − C A ) ] {\displaystyle

Rüchardt experiment (1,506 words) [view diff] exact match in snippet view article find links to article

equal to As this process is adiabatic, the equation for ideal gas (Poisson's equation) is: It follows using differentiation from the equation above that:

Monte Carlo methods for electron transport (5,007 words) [view diff] exact match in snippet view article find links to article

Monte Carlo procedure to Poisson's equation, and is the most suitable for device simulation. Typically, Poisson's equation is solved at fixed intervals

Walk-on-spheres method (2,122 words) [view diff] exact match in snippet view article find links to article

A. (March 2003). "A Feynman–Kac path-integral implementation for Poisson's equation using an h-conditioned Green's function". Mathematics and Computers

Non-neutral plasma (2,483 words) [view diff] exact match in snippet view article find links to article

terms of ω {\displaystyle \omega } and substituting the result into Poisson's equation yields This equation implies that the maximum possible density occurs

History of Maxwell's equations (3,944 words) [view diff] exact match in snippet view article find links to article

equations in 1857 without using displacement current, but he did use Poisson's equation and the equation of continuity, which are the mathematical ingredients

Dirac delta function (13,792 words) [view diff] exact match in snippet view article find links to article

formula for the Newtonian potential (the fundamental solution of Poisson's equation). This is essentially a form of the inversion formula for the Radon

Schizotypal personality disorder (14,871 words) [view diff] exact match in snippet view article find links to article

(October 2006). "Characterizing the shape of anatomical structures with Poisson's equation". IEEE Transactions on Medical Imaging. 25 (10): 1249–1257. doi:10

Gravitational lensing formalism (5,185 words) [view diff] exact match in snippet view article find links to article

{\theta }}\psi ({\vec {\theta }})} which is the lens equation. Take the Poisson's equation for 3D potential Φ ( ξ → ) = − ∫ d 3 ξ ′ ρ ( ξ → ′ ) | ξ → − ξ → ′

Differential forms on a Riemann surface (11,053 words) [view diff] exact match in snippet view article find links to article

right convolution by a function on K \ G / K. Thus in these cases Poisson's equation can be solved by an explicit integral formula. It is easy to verify