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Relaxation Methods


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).


See also

Gauss-Seidel Method, Jacobi Method, Multigrid Methods, Newton's Method, Successive Overrelaxation Method

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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.

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Relaxation Methods

Cite this as:

Weisstein, Eric W. "Relaxation Methods." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/RelaxationMethods.html

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