Numerical Analysis of PDE

Utbildningsfakta

Kod: 4MA902

Partial differential equations (PDEs) describe how quantities vary in space and time: heat conduction, waves, fluid flow, and much more. But turning a PDE into something a computer can work with is delicate: you must choose a discretization that is accurate, stable, and efficient, and you need theory to know when the computed results can be trusted. This course brings together the analysis of PDEs (existence, uniqueness, and regularity for linear PDEs) with the numerical methods used in practice. You study and compare finite difference and finite element methods for elliptic, parabolic, and hyperbolic equations, and learn how error estimates are derived. The course also covers finite element methods for elliptic eigenvalue problems and introduces the basic theory of numerical methods for semilinear equations. An important component is implementing finite element methods in modern software and analyzing the results in light of the underlying theory.

Behörighet

Numerical Methods, 5 credits (1MA930 or 1MA931), Introduction to Applied Analysis, 7.5 credits (4MA901) or Functional analysis, 7.5 credits (4MA415)

Utbildningstillfällen

Varje tillfälle har egna datum och villkor. Avslutade tillfällen behålls som historik och innebär inte att en ny ansökan är öppen.

• Numerical Analysis of PDE

  Linnaeus University (Kalmar Växjö)

  VÄXJÖ

  Startdatum: 8 november 2027

  Slutdatum: 16 januari 2028

  Studietakt: 50 %