Abstract
In this paper we obtain a unconditional convergence result for discretization methods of type Fractional Steps Runge-Kutta, which are highly efficient in the numerical resolution of parabolic problems whose coefficients depend on time. These methods combined with standard spatial discretizations will provide totally discrete algorithms with low computational cost and high order of accuracy in time. We will show the efficiency of such methods, in combination with upwind difference schemes on special meshes, to integrate numerically singularly perturbed evolutionary convection-diffuusion problems.
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© 2001 Springer-Verlag Berlin Heidelberg
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Bujanda, B., Jorge, J.C. (2001). Fractional Step Runge-Kutta Methods for the Resolution of Two Dimensional Time Dependent Coefficient Convection-Diffusion Problems. In: Vulkov, L., Yalamov, P., Waśniewski, J. (eds) Numerical Analysis and Its Applications. NAA 2000. Lecture Notes in Computer Science, vol 1988. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45262-1_17
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DOI: https://doi.org/10.1007/3-540-45262-1_17
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