@article{1441026,
      recid = {1441026},
      author = {Knabner, Peter, and Angermann, Lutz,},
      title = {Numerical methods for elliptic and parabolic partial  differential equations /},
      pages = {1 online resource (xix, 802 pages) :},
      abstract = {This graduate-level text provides an application oriented  introduction to the numerical methods for elliptic and  parabolic partial differential equations. It covers finite  difference, finite element, and finite volume methods,  interweaving theory and applications throughout. The book  examines modern topics such as adaptive methods, multilevel  methods, and methods for convection-dominated problems and  includes detailed illustrations and extensive exercises.  For students with mathematics major it is an excellent  introduction to the theory and methods, guiding them in the  selection of methods and helping them to understand and  pursue finite element programming. For engineering and  physics students it provides a general framework for the  formulation and analysis of methods. This second edition  sees additional chapters on mixed discretization and on  generalizing and unifying known approaches; broader  applications on systems of diffusion, convection and  reaction; enhanced chapters on node-centered finite volume  methods and methods of convection-dominated problems,  specifically treating the now-popular cell-centered finite  volume method; and the consideration of realistic  formulations beyond the Poisson's equation for all models  and methods.},
      url = {http://library.usi.edu/record/1441026},
      doi = {https://doi.org/10.1007/978-3-030-79385-2},
}