@article{780510,
      recid = {780510},
      author = {Lottes, James,},
      title = {Towards robust algebraic multigrid methods for  nonsymmetric problems /},
      pages = {1 online resource (x, 131 pages) :},
      note = {"Doctoral thesis accepted by University of Oxford, UK."},
      abstract = {This thesis presents a rigorous, abstract analysis of  multigrid methods for positive nonsymmetric problems,  particularly suited to algebraic multigrid, with a  completely new approach to nonsymmetry which is based on a  new concept of absolute value for nonsymmetric operators.  Multigrid, and in particular algebraic multigrid, has  become an indispensable tool for the solution of  discretizations of partial differential equations. While  used in both the symmetric and nonsymmetric cases, the  theory for the nonsymmetric case has lagged substantially  behind that for the symmetric case. This thesis closes some  of this gap, presenting a major and highly original  contribution to an important problem of computational  science. The new approach to nonsymmetry will be of  interest to anyone working on the analysis of  discretizations of nonsymmetric operators, even outside the  context of multigrid. The presentation of the convergence  theory may interest even those only concerned with the  symmetric case, as it sheds some new light on and extends  existing results.},
      url = {http://library.usi.edu/record/780510},
      doi = {https://doi.org/10.1007/978-3-319-56306-0},
}