rkssp53 Module Procedure

module procedure rkssp53 module subroutine rkssp53(me, t, x, h, xf)

5-stage, 3rd order SSP Runge-Kutta method of Spiteri and Ruuth (2005). CFL=2.65.

Reference

Ruuth, Steven. "Global optimization of explicit strong-stability-preserving Runge-Kutta methods." Mathematics of Computation 75.253 (2006): 183-207. https://www.ams.org/journals/mcom/2006-75-253/S0025-5718-05-01772-2/S0025-5718-05-01772-2.pdf

Note

the coefficients here are only 15 digits of precision.

Arguments

Type	Intent	Optional	Attributes		Name
class(rkssp53_class),	intent(inout)			::	me
real(kind=wp),	intent(in)			::	t	initial time
real(kind=wp),	intent(in),		dimension(me%n)	::	x	initial state
real(kind=wp),	intent(in)			::	h	time step
real(kind=wp),	intent(out),		dimension(me%n)	::	xf	state at time `t+h`

Calls

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