Relaxation methods are methods of solving partial differential equations that involve splitting the sparse matrix that arises from finite differencing then iterating until a solution is found (Press et al. 1992, p. 863).
Relaxation Methods
See also
Gauss-Seidel Method, Jacobi Method, Multigrid Methods, Newton's Method, Successive Overrelaxation MethodExplore with Wolfram|Alpha
References
Jeffreys, H. and Jeffreys, B. S. "Relaxation Methods." §9.18 in Methods of Mathematical Physics, 3rd ed. Cambridge, England: Cambridge University Press, pp. 307-312, 1988.Press, W. H.; Flannery, B. P.; Teukolsky, S. A.; and Vetterling, W. T. "Relaxation Methods for Boundary Value Problems." §19.5 in Numerical Recipes in FORTRAN: The Art of Scientific Computing, 2nd ed. Cambridge, England: Cambridge University Press, pp. 863-871, 1992.Referenced on Wolfram|Alpha
Relaxation MethodsCite this as:
Weisstein, Eric W. "Relaxation Methods." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/RelaxationMethods.html