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Finite volume transport schemes. (English) Zbl 1140.65058

The author develops a numerical solution scheme for a finite volume transport scheme and makes a detailed theoretical analysis by developing a number of theorems with proofs of convergence. Finally experiments are performed for validation. It is an interesting analysis.

MSC:

65M06 Finite difference methods for initial value and initial-boundary value problems involving PDEs
65M12 Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs
35K15 Initial value problems for second-order parabolic equations
65M15 Error bounds for initial value and initial-boundary value problems involving PDEs
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References:

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