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The Method of Decomposition for Unstable Two-Point Boundary Value Problems
August 1971 (vol. 20 no. 8)
pp. 910-914
The method of decomposition offers a means to overcome the computational difficulty associated with unstable two-point boundary value problems. The basic idea is to decompose systematically an unstable differential equation into a sequence of differential equations of a lower order, which are each stable either in the forward or in the backward direction of computer integration.
Index Terms:
Decomposition, numerical integration, partial differential equations, stability, unstable two-point boundary value problems.
Citation:
R. Vichnevetsky, "The Method of Decomposition for Unstable Two-Point Boundary Value Problems," IEEE Transactions on Computers, vol. 20, no. 8, pp. 910-914, Aug. 1971, doi:10.1109/T-C.1971.223369
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