miracle
发表于 2025-3-25 03:45:07
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obsolete
发表于 2025-3-25 08:00:26
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神秘
发表于 2025-3-25 13:00:23
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Goblet-Cells
发表于 2025-3-25 16:26:41
,Linear Multistep Methods—IV: Systems of ODEs,In this chapter we describe the use of LMMs to solve systems of ODEs and show how the notion of absolute stability can be generalized to such problems. We begin with an example.
课程
发表于 2025-3-25 23:08:32
,Linear Multistep Methods—V: Solving Implicit Methods,The discussion of absolute stability in previous chapters shows that it can be advantageous to use an implicit LMM—usually when the step size in an explicit method has to be chosen on grounds of stability rather than accuracy. One then has to compute the numerical solution at each step by solving a nonlinear system of algebraic equations.
弓箭
发表于 2025-3-26 01:32:42
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Surgeon
发表于 2025-3-26 07:46:09
,Runge-Kutta Methods–II Absolute Stability,The notion of absolute stability developed in Chapter 6 for LMMs is equally relevant to RK methods. Applying an RK method to the linear ODE .′(.) = λ.(.) with ℜ(λ) < 0, absolute stability requires that .. → 0 as . → ∞.
诱拐
发表于 2025-3-26 09:32:12
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无意
发表于 2025-3-26 16:19:05
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逢迎白雪
发表于 2025-3-26 19:18:30
Numerical Methods for Ordinary Differential EquationsInitial Value Proble