====== Teaching material ======



===== Notes and lecture notes of H. Krogstad from 2009 and 2011: =====

   * [[http://www.math.ntnu.no/emner/TMA4195/2014h/notes/Krogstad/Krogstad2011DimensionalAnalysisScalingAndRegularPerturbation.pdf|Dimensional Analysis, Scaling, and
Regular Perturbation]] (older version in [[http://www.math.ntnu.no/emner/TMA4195/2012h/notes/Krogstad/DimSkal2008.pdf|Norwegian]]) 
   * [[http://www.math.ntnu.no/emner/TMA4195/2014h/notes/Krogstad/Krogstad2011PopulationModels.pdf|Population
   Models]] (older version in [[http://www.math.ntnu.no/emner/TMA4195/2014h/notes/Krogstad/Populasjonsmodeller2007.pdf|Norwegian]])
   * [[http://www.math.ntnu.no/emner/TMA4195/2014h/notes/Krogstad/Krogstad2011ConservationPrinciples.pdf|Models
   based on conservation principles]] (older version in [[http://www.math.ntnu.no/emner/TMA4195/2011h/notes/Krogstad/Kontinuum2007.pdf|Norwegian]])

   * [[http://www.math.ntnu.no/emner/TMA4195/2014h/notes/Krogstad/SolutionFirstOrderPDE.pdf|Solution of first order PDEs]]
   * [[http://www.math.ntnu.no/emner/TMA4195/2014h/notes/Krogstad/EndimensjonalKonsLover.pdf|Endimensjonale konserveringslover]]

   * [[http://www.math.ntnu.no/emner/TMA4195/2014h/notes/Krogstad/KidneyCaseStudy.pdf|Slides for kidney modeling ]]
   * [[http://www.math.ntnu.no/emner/TMA4195/2014h/notes/Krogstad/QuenchingReaction2009.pdf|Slides on quenching reaction]]




===== Notes of H. Hanche-Olsen from <2005: =====

   * [[http://www.math.ntnu.no/emner/TMA4195/2014h/notes/Hanche/buckingham-a4-1.pdf|Buckingham's pi-theorem]]
   * [[http://www.math.ntnu.no/emner/TMA4195/2014h/notes/Hanche/continuum-a4.pdf|Conservation laws and continuum mechanics]]
   * [[http://www.math.ntnu.no/emner/TMA4195/2014h/notes/Hanche/similar-a4.pdf|Similarity solutions of the heat equation]]


===== Books =====

[[http://epubs.siam.org/doi/book/10.1137/1.9781611971347| Lin and Segel]]

[[http://www.fenomec.unam.mx/ramon/docs/JordanSmith.pdf|Jordan and Smith, Nonlinear ordinary differential equations.]]

[[http://www.math.upatras.gr/~bountis/files/def-eq.pdf|Differential equations, dynamical systems, and an introduction to chaos. Hirsch, Smale and Devaney.]]

[[http://download.springer.com/static/pdf/494/bok%253A978-3-642-23911-3.pdf?originUrl=http%3A%2F%2Flink.springer.com%2Fbook%2F10.1007%2F978-3-642-23911-3&token2=exp=1443813939~acl=%2Fstatic%2Fpdf%2F494%2Fbok%25253A978-3-642-23911-3.pdf%3ForiginUrl%3Dhttp%253A%252F%252Flink.springer.com%252Fbook%252F10.1007%252F978-3-642-23911-3*~hmac=bf4edaf3724f11e1aadd687965cd3ca7bd481ac5167a14ca5a28d1c3fe428166|Holden and Risebro]] Front tacking for hyperbolic conservation laws.