Solution of Linear Equation Systems

  • Joel H. Ferziger
  • Milovan PerićEmail author
  • Robert L. Street


In this chapter, methods of solving the algebraic equation systems resulting from discretization of transport equations are described. Direct methods are briefly described, but the major part of the chapter is devoted to iterative solution techniques. Incomplete lower-upper decomposition, conjugate gradient and multigrid methods are given special attention. Approaches to solving coupled and non-linear systems are also described, including the issues of under-relaxation and convergence criteria. Various solvers can be downloaded from the book web-site (

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© Springer Nature Switzerland AG 2020

Authors and Affiliations

  • Joel H. Ferziger
    • 1
  • Milovan Perić
    • 2
    Email author
  • Robert L. Street
    • 3
  1. 1.Department of Mechanical EngineeringStanford UniversityStanfordUSA
  2. 2.University of Duisburg-EssenDuisburgGermany
  3. 3.Department of Civil and Environmental EngineeringStanford UniversityStanfordUSA

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