Changes between Version 23 and Version 24 of u/erica/PoissonSolver


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Timestamp:
08/19/13 13:28:57 (11 years ago)
Author:
Erica Kaminski
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  • u/erica/PoissonSolver

    v23 v24  
    1717In fact, apart from their classification as either a boundary value problem for the elliptic equation, or initial value problem for the hyperbolic, they can be considered of either a "static" or "time-evolution" nature, respectively. This is a more helpful classification in terms of designing numerical methods to solve these different types of equations (see Fortran Numerical Recipes, Press et al, Vol. 2, Chapt. 19 - Partial Differential Equations). The following figure from that book illustrates this concept:
    1818
    19 [[Image(PDENumerics.png, 50%)]]
     19[[Image(PDENumerics.png, 40%)]]
    2020
    2121Some special cases for elliptic equations, of relevance here, occur when [[latex($\kappa = 1$)]]; when f is non-zero, we have the Poisson equation,