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For Example: Modelling Processes in Porous Media with Differential Equations

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Numerical Methods for Elliptic and Parabolic Partial Differential Equations

Abstract

This chapter illustrates the scientific context in which differential equation models may occur, in general, and also in a specific example. Section 0.1 reviews the fundamental equations, for some of them discretization techniques will be developed and investigated in this book. In Sections 0.20.4 we focus on reaction and transport processes in porous media. These sections are independent of the remaining parts and may be skipped by the reader. Section 0.5, howevershould be consulted because it fixes some notation to be used later on.

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Correspondence to Peter Knabner .

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Knabner, P., Angermann, L. (2021). For Example: Modelling Processes in Porous Media with Differential Equations. In: Numerical Methods for Elliptic and Parabolic Partial Differential Equations. Texts in Applied Mathematics, vol 44. Springer, Cham. https://doi.org/10.1007/978-3-030-79385-2_0

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