Numerical methods for partial differential equations

For the academic journal, see Numerical Methods for Partial Differential Equations.

Numerical methods for partial differential equations is the branch of numerical analysis that studies the numerical solution of partial differential equations (PDEs).[1][2]

In principle, specialized methods for hyperbolic,[3] parabolic[4] or elliptic partial differential equations[5] exist.[6][7]

  1. ^ Pinder, George F. (2018). Numerical methods for solving partial differential equations : a comprehensive introduction for scientists and engineers. Hoboken, NJ. ISBN 978-1-119-31636-7. OCLC 1015215158.{{cite book}}: CS1 maint: location missing publisher (link)
  2. ^ Rubinstein, Jacob; Pinchover, Yehuda, eds. (2005), "Numerical methods", An Introduction to Partial Differential Equations, Cambridge: Cambridge University Press, pp. 309–336, doi:10.1017/cbo9780511801228.012, ISBN 978-0-511-80122-8, retrieved 2021-11-15
  3. ^ "Hyperbolic partial differential equation, numerical methods - Encyclopedia of Mathematics". encyclopediaofmath.org. Retrieved 2021-11-15.
  4. ^ "Parabolic partial differential equation, numerical methods - Encyclopedia of Mathematics". encyclopediaofmath.org. Retrieved 2021-11-15.
  5. ^ "Elliptic partial differential equation, numerical methods - Encyclopedia of Mathematics". encyclopediaofmath.org. Retrieved 2021-11-15.
  6. ^ Evans, Gwynne (2000). Numerical methods for partial differential equations. J. M. Blackledge, P. Yardley. London: Springer. ISBN 3-540-76125-X. OCLC 41572731.
  7. ^ Grossmann, Christian (2007). Numerical treatment of partial differential equations. Hans-Görg Roos, M. Stynes. Berlin: Springer. ISBN 978-3-540-71584-9. OCLC 191468303.