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Titlebook: Conference on the Numerical Solution of Differential Equations; Held in Dundee/Scotl J. Li. Morris Conference proceedings 1969 Springer-Ver

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楼主: Reagan
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An A-stable modification of the Adams-Bashforth methods,This paper gives new finite difference formulae which are suitable for the numerical integration of stiff systems of ordinary differential equations. The method is exact if the problem is of the type y. = Py + Q(x) where P is a constant and Q(x) a polynomial of degree q. When P = 0 the method is identical with the Adams-Bashforth formulae.
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0075-8434 Overview: 978-3-540-04628-8978-3-540-36158-9Series ISSN 0075-8434 Series E-ISSN 1617-9692
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Alternating direction methods for parabolic equations in two and three space dimensions with mixed nsions with mixed derivatives. The methods require the solution of two tridiagonal sets of equations at each time step in the two space dimensional case, and three tridiagonal sets of equations in the three space dimensional case. Several theorems are stated showing the methods to be unconditionally
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Generalisation of an inclusion theorem of L.COLLATZ,
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