Power boundedness in the maximum norm of stability matrices for ADI methods

Author:

González-Pinto S.,Hairer E.,Hernández-Abreu D.ORCID

Funder

Swiss National Science Foundation

Ministerio de Industria, Economia y Competitividad

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics,Computer Networks and Communications,Software

Reference20 articles.

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2. Arrarás, A., t’Hout, K.J., Hundsdorfer, W., Portero, L.: Modified Douglas splitting methods for reaction–diffusion equations. BIT 57(2), 261–285 (2017)

3. Craig, I.J.D., Sneyd, A.D.: An alternating-direction implicit scheme for parabolic equations with mixed derivatives. Comput. Math. Appl. 16(4), 341–350 (1988)

4. Crouzeix, M.: Analyticity of the one-dimensional discrete heat equation in L$$^\infty $$ for equidistant grids. Note (1988)

5. Douglas Jr., J., Rachford Jr., H.H.: On the numerical solution of heat conduction problems in two and three space variables. Trans. Am. Math. Soc. 82, 421–439 (1956)

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