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Convergence of a numerical scheme for stratigraphic modeling. (English) Zbl 1096.35005

A numerical scheme based on implicit time integration and cell centered finite volume method is proposed for stratigraphic modeling. Convergence to a weak solution is proved.

MSC:

35A35 Theoretical approximation in context of PDEs
35M10 PDEs of mixed type
35Q99 Partial differential equations of mathematical physics and other areas of application
65M12 Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs
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