• In mathematics, the Neumann (or second-type) boundary condition is a type of boundary condition, named after Carl Neumann. When imposed on an ordinary...
    4 KB (520 words) - 20:59, 21 March 2022
  • boundary condition and the mixed boundary condition. The latter is a combination of the Dirichlet and Neumann conditions. Neumann boundary condition Robin...
    4 KB (435 words) - 14:50, 29 May 2024
  • normal derivative on the boundary of the domain. This corresponds to imposing both a Dirichlet and a Neumann boundary condition. It is named after the prolific...
    4 KB (627 words) - 11:10, 21 August 2024
  • Thumbnail for Mixed boundary condition
    required to satisfy a Dirichlet or a Neumann boundary condition in a mutually exclusive way on disjoint parts of the boundary. For example, given a solution...
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  • Thumbnail for Boundary value problem
    A boundary condition which specifies the value of the normal derivative of the function is a Neumann boundary condition, or second-type boundary condition...
    9 KB (1,037 words) - 12:04, 30 June 2024
  • Thumbnail for Carl Neumann
    electrodynamics and analytical mechanics. Neumann boundary conditions and the Neumann series are named after him. Carl Gottfried Neumann was born in Königsberg, Prussia...
    15 KB (1,323 words) - 22:34, 18 February 2025
  • consider three distinct boundary conditions: a Dirichlet boundary condition, a Neumann boundary condition, and a mixed boundary condition. First, we consider...
    6 KB (900 words) - 09:52, 1 April 2025
  • mathematics, the Robin boundary condition (/ˈrɒbɪn/ ROB-in, French: [ʁɔbɛ̃]), or third type boundary condition, is a type of boundary condition, named after Victor...
    5 KB (632 words) - 22:49, 17 November 2024
  • the boundary condition from infinity to the boundary. One example is the Dirichlet-to-Neumann operator that maps the given temperature on the boundary of...
    6 KB (758 words) - 02:31, 14 December 2023
  • boundary conditions for the fields may be imposed on the fundamental fields; for example, Neumann boundary condition or Dirichlet boundary condition is...
    3 KB (306 words) - 20:50, 30 July 2022
  • Chebyshev polynomial of the 2nd kind. And combining with our Neumann boundary condition, we have U 2 n + 1 ( β ) − U 2 n − 1 ( β ) = 0. {\displaystyle...
    11 KB (2,781 words) - 16:17, 8 April 2022
  • differential equations Boundary condition Boundary value problem Dirichlet problem, Dirichlet boundary condition Neumann boundary condition Stefan problem Wiener–Hopf...
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  • used to construct solutions to Dirichlet boundary condition problems. Solutions for Neumann boundary condition problems may also be simplified, though...
    20 KB (3,259 words) - 15:13, 17 May 2025
  • elsewhere. Fundamental solution Dirichlet boundary condition Neumann boundary condition Robin boundary condition Heat equation Luikov 1968 Özışık, M. Necati...
    15 KB (1,289 words) - 16:32, 10 May 2025
  • Thumbnail for Partial differential equation
    equation Wave equation Types of boundary conditions Dirichlet boundary condition Neumann boundary condition Robin boundary condition Cauchy problem Various topics...
    49 KB (6,795 words) - 21:29, 14 May 2025
  • string with endpoints) satisfy one of two types of boundary conditions: The Neumann boundary condition, corresponding to free endpoints moving through spacetime...
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  • Thumbnail for Green's function
    the Laplacian. Also, assume a Dirichlet boundary condition is imposed at x = 0 and a Neumann boundary condition is imposed at y = 0. Then the X10Y20 Green's...
    39 KB (5,191 words) - 16:36, 10 May 2025
  • vector field orthogonal to some hypersurface. See for example Neumann boundary condition. If the normal direction is denoted by n {\displaystyle \mathbf...
    22 KB (4,812 words) - 00:04, 12 April 2025
  • {\textstyle \Gamma _{N}} portions of the boundary where respectively a Dirichlet and a Neumann boundary condition is applied ( Γ D ∩ Γ N = ∅ {\textstyle...
    97 KB (15,470 words) - 14:44, 27 April 2025
  • done imposing a zero transmembrane potential flux (homogeneous Neumann boundary condition), i.e.: ( Σ i ∇ v ) ⋅ n = 0 on  ∂ T × ( 0 , T ) {\displaystyle...
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  • Thumbnail for Hearing the shape of a drum
    operator or Dirac operator. Other boundary conditions besides the Dirichlet condition, such as the Neumann boundary condition, can be imposed. See spectral...
    14 KB (1,717 words) - 20:30, 21 April 2025
  • which corresponds to the case of the homogeneous Neumann boundary condition, i.e., free boundary. Such an interpretation allows one, e.g., generalizing...
    45 KB (5,042 words) - 19:15, 16 May 2025
  • Neumann boundary condition). The control of the state variable at the boundary, as f(x, y) given on the boundary of the grid (aka, Dirichlet boundary...
    34 KB (5,716 words) - 14:50, 26 March 2025
  • first eigenvalue is zero for closed domains or when using the Neumann boundary condition. For some shapes, the spectrum can be computed analytically (e...
    12 KB (1,488 words) - 12:38, 18 November 2024
  • solving the Dirichlet and Neumann boundary value problems for the Laplacian in a bounded domain in the plane with smooth boundary. The methods use the theory...
    58 KB (8,926 words) - 18:52, 14 November 2024
  • Thumbnail for Allen–Cahn equation
    F(\pm 1)=0} . Usually, one has the following initial condition with the Neumann boundary condition { v ( x , 0 ) = v 0 ( x ) , Ω × { 0 } ∂ n v = 0 , ∂...
    6 KB (857 words) - 02:12, 22 March 2025
  • with periodic boundary conditions and has only two independent variables; and the scheme uses no more than two time levels. Von Neumann stability is necessary...
    10 KB (1,427 words) - 17:01, 14 January 2025
  • (Dirichlet boundary condition), and b i {\displaystyle b_{i}} corresponds to the number of reflections with a hard wall (Neumann boundary condition). The Hamiltonian...
    7 KB (1,269 words) - 02:59, 20 August 2024
  • Thumbnail for John von Neumann
    John von Neumann (/vɒn ˈnɔɪmən/ von NOY-mən; Hungarian: Neumann János Lajos [ˈnɒjmɒn ˈjaːnoʃ ˈlɒjoʃ]; December 28, 1903 – February 8, 1957) was a Hungarian...
    208 KB (23,696 words) - 20:41, 12 May 2025
  • Stefan condition, is required. This is an energy balance which defines the position of the moving interface. Note that this evolving boundary is an unknown...
    21 KB (2,760 words) - 00:11, 16 March 2025