Numerical Analysis of PDE

Education facts

Code: 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.

Entry requirements

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

Education offerings

Each offering has its own dates and conditions. Closed offerings are retained as history and do not mean that a new application is open.

• Numerical Analysis of PDE

  Linnaeus University (Kalmar Växjö)

  VÄXJÖ

  Start date: 8 November 2027

  End date: 16 January 2028

  Pace of study: 50 %