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3. Non-linear case
Finite volume methods were initially invented for the discretization of nonlinear equations, as the respect of conservation and stability principles is extremely important. We begin by describing the case of the Burgers equation, which is the model problem for all nonlinear equations, and then move on to compressible fluid dynamics.
3.1 Burgers equation
The Burgers equation is written as
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Non-linear case
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