In this first chapter, we introduce the basic principles of adaptivity and moving mesh methods for solving partial differential equations in one spatial dimension. In particular, two adaptive methods are described and used to solve a simple model problem - an initial-boundary value problem consisting of Burgers’ equation 1.1.
CITATION STYLE
Huang, W., & Russell, R. D. (2011). Introduction. In Applied Mathematical Sciences (Switzerland) (Vol. 174, pp. 1–25). Springer. https://doi.org/10.1007/978-1-4419-7916-2_1
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