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Titlebook: Conference on Applications of Numerical Analysis; Held in Dundee/Scotl John Ll. Morris Conference proceedings 1971 Springer-Verlag Berlin H

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楼主: concord
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Computation of the moments of solutions of certain random two point boundary value problems,Assume that the linear two-point boundary value problem . possesses a unique solution for all λ in the interval 0 ≤ λ ≤ Λ. Consider λ to be a random variable with probability density function f(λ), 0 ≤ λ ≤ Λ. A method for determining the moments . is presented. Numerical experiments show the computational feasibility of the new approach.
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Conference on Applications of Numerical Analysis978-3-540-36976-9Series ISSN 0075-8434 Series E-ISSN 1617-9692
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Removal of an instability in a free convection problem,nsfer. An instability in this scheme, due to interlinkages between the flow and energy equations, was discovered when the solution procedure was applied to the problem of buoyancy in a stably-stratified fluid. This instability was removed by devising a special underrelaxation procedure for the tempe
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Bounds for the error in approximate solutions of ordinary differential equations,s depend on a bound for the norm of the fundamental matrix of a linear system and on a bound for the norm of the approximation defect. Error bounds are usually expressed as the solution of a linear differential equation but may also be obtained as the solution of a Riccati equation.
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