oomph-lib: explicit_timesteppers.h File Reference

Classes
class	oomph::ExplicitTimeSteppableObject
	Class for objects than can be advanced in time by an Explicit Timestepper. WARNING: For explicit time stepping to work the object's residual function (as used by get_inverse_mass_matrix_times_residuals(..)) MUST be in the form r = f(t, u) - [timestepper approximation to dudt]! Standard implicit time stepping will work with plenty of residuals that don't fit into this form. Some examples where implicit time stepping will work fine but explicit will fail: 1) The negation of the above formula, this implementation will end up using dudt = - f(u,t). 2) A residual which is implicit or non-linear in dudt, such as r = dudt. More...

class	oomph::ExplicitTimeStepper
	A Base class for explicit timesteppers. More...

class	oomph::Euler
	=========================================================== Simple first-order Euler Timestepping More...

class	oomph::RungeKutta< ORDER >
	=========================================================== Standard Runge Kutta Timestepping More...

class	oomph::LowStorageRungeKutta< ORDER >
	=========================================================== Runge Kutta Timestepping that uses low storage More...

class	oomph::EBDF3
	=========================================================== An explicit version of BDF3 (i.e. uses derivative evaluation at y_n instead of y_{n+1}). Useful as a predictor because it is third order accurate but requires only one function evaluation (i.e. only one mass matrix inversion + residual calculation). More...

Classes