Pantry
发表于 2025-3-23 10:32:00
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1FAWN
发表于 2025-3-23 16:25:32
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伴随而来
发表于 2025-3-23 20:11:05
IntroductionThese notes concern the solution of hyperbolic systems of conservation laws. These are time-dependent systems of partial differential equations (usually nonlinear) with a particularly simple structure.
chemoprevention
发表于 2025-3-23 22:17:46
Scalar Conservation LawsWe begin our study of conservation laws by considering the scalar case. Many of the difficulties encountered with systems of equations are already encountered here, and a good understanding of the scalar equation is required before proceeding.
right-atrium
发表于 2025-3-24 03:50:30
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reject
发表于 2025-3-24 08:38:49
Rarefaction Waves and Integral CurvesAll of the Riemann solutions considered so far have the following property: the solution is constant along all rays of the form . = ξ.. Consequently, the solution is a function of ./. alone, and is said to be a “similarity solution” of the PDE.
Jejune
发表于 2025-3-24 12:27:24
Numerical Methods for Linear EquationsBefore studying numerical methods for nonlinear conservation laws, we review some of the basic theory of numerical methods for the linear advection equation and linear hyperbolic systems. The emphasis will be on concepts that carry over to the nonlinear case.
LOPE
发表于 2025-3-24 15:58:34
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最低点
发表于 2025-3-24 22:29:22
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意外
发表于 2025-3-24 23:28:46
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