Structure-preserving discretization of differential equations

Elena Celledoni Brynjulf Owren

Summer course at AARMS 2015, Halifax, Nova Scotia

Lecture 8

  • Energy-momentum methods. Example particle in R^3 (exercise solved by the students).
  • Energy preservation and symplecticity.
  • Mechanical systems with holonomic constraints: RATTLE.
  • Conjugate-symplecticity. Preservation of modified volume forms and modified energy.

Teaching material

2015-07-27, Elena Celledoni