Abstract
A new kind of deferred correction formulas are presented and applied to two-point boundary value problems for ordinary differential equations. The compact formulas can be considered to be generalizations of the Collatz Mehrstellenverfahren obeying certain side conditions to make them suitable for iterative deferred corrections. The ideas presented can also be applied to other types of discretization algorithms, e.g. to discretizations of elliptic boundary value problems in several variables.
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© 1982 Springer-Verlag
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Lindberg, B. (1982). Compact deferred correction formulas. In: Hinze, J. (eds) Numerical Integration of Differential Equations and Large Linear Systems. Lecture Notes in Mathematics, vol 968. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0064890
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DOI: https://doi.org/10.1007/BFb0064890
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