Dirichlet boundary condition

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• Dirichlet boundary condition — In mathematics, the Dirichlet (or first type) boundary condition is a type of boundary condition, named after Johann Peter Gustav Lejeune Dirichlet (1805–1859) who studied under Cauchy and succeeded Gauss at University of Göttingen.[1] When… …   Wikipedia

• Mixed boundary condition — Green: Neumann boundary condition; purple: Dirichlet boundary condition. In mathematics, a mixed boundary condition for a partial differential equation indicates that different boundary conditions are used on different parts of the boundary of… …   Wikipedia

• Robin boundary condition — In mathematics, the Robin (or third type) boundary condition is a type of boundary condition, named after Victor Gustave Robin (1855 1897) who lectured in mathematical physics at the Sorbonne in Paris and worked in the area of thermodynamics.… …   Wikipedia

• Neumann boundary condition — In mathematics, the Neumann (or second type) boundary condition is a type of boundary condition, named after Carl Neumann.[1] When imposed on an ordinary or a partial differential equation, it specifies the values that the derivative of a… …   Wikipedia

• Cauchy boundary condition — In mathematics, a Cauchy (pronounced koe she ) boundary condition imposed on an ordinary differential equation or a partial differential equation specifies both the values a solution of a differential equation is to take on the boundary of the… …   Wikipedia

• Dirichlet Laplacian — refers to the mathematical problems with the Helmholtz equation (Delta + lambda) Psi =0 where Delta is the Laplace operator; in the two dimensional space, Delta=frac{partial^2}{partial x^2}+frac{partial^2}{partial y^2}differentiates with respect… …   Wikipedia

• Dirichlet's theorem — may refer to any of several mathematical theorems due to Johann Peter Gustav Lejeune Dirichlet. Dirichlet s theorem on arithmetic progressions Dirichlet s approximation theorem Dirichlet s unit theorem Dirichlet conditions Dirichlet boundary… …   Wikipedia

• Boundary value problem — In mathematics, in the field of differential equations, a boundary value problem is a differential equation together with a set of additional restraints, called the boundary conditions. A solution to a boundary value problem is a solution to the… …   Wikipedia

• Dirichlet problem — In mathematics, a Dirichlet problem is the problem of finding a function which solves a specified partial differential equation (PDE) in the interior of a given region that takes prescribed values on the boundary of the region. The Dirichlet… …   Wikipedia

• Dirichlet eigenvalue — In mathematics, the Dirichlet eigenvalues are the fundamental modes of vibration of an idealized drum with a given shape. The problem of whether one can hear the shape of a drum is: given the Dirichlet eigenvalues, what features of the shape of… …   Wikipedia

• Dirichlet conditions — Not to be confused with Dirichlet boundary condition. In mathematics, the Dirichlet conditions are sufficient conditions for a real valued, periodic function f(x) to be equal to the sum of its Fourier series at each point where f is continuous.… …   Wikipedia