Abstract
In this note we present recent developments in the program for constructing adaptive algorithms for numerical methods for parabolic type problems or stiff initial value prolems that was initiated in Johnson [6] and was continued in Eriksson, Johnson [3] and Johnson, Nie, Thomée [7].
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References
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Eriksson, K., Johnson, C. and Lennblad, J., Optimal error estimates and adaptive time and space step control for linear parabolic problems, Preprint no. 1986–06, Department of Mathematics, Chalmers University of Technology, Göteborg.
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Johnson, C. Nie, Y. and Thomée V., An a posteriori error estimate and automatic time step control for a backward Euler discretization of a parabolic problem, Preprint no. 1985–23, Department of Mathematics, Chalmers University of Technology, Göteborg, submitted to SIAM J. of Numer. Anal.
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© 1987 Springer Fachmedien Wiesbaden
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Eriksson, K., Johnson, C., Lennblad, J. (1987). Optimal Error Estimates and Adaptive Time and Space Step Control for Linear Parabolic Problems. In: Hackbusch, W., Witsch, K. (eds) Numerical Techniques in Continuum Mechanics. Notes on Numerical Fluid Mechanics, vol 16. Vieweg+Teubner Verlag, Wiesbaden. https://doi.org/10.1007/978-3-322-85997-6_1
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DOI: https://doi.org/10.1007/978-3-322-85997-6_1
Publisher Name: Vieweg+Teubner Verlag, Wiesbaden
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