Summary
runge-kutta 4-stage implementation for n dimensions

Metadata

Parents:	math
Tags:	math
Authors:	Kevin Cope

Words

Ordinary words

Word	Stack effect
(adapt-stepsize)	( n epsilon -- n' )
(approximation-increment)	( k-seq butcher-row dt -- k*B_i A*h )
(rk)	( k-seq coefficients -- rkn )
(runge-kutta)	( dt dx..n/dt x..nt -- dx..dn' dt' )
<runge-kutta>	( initial-delta dxn..n/dt initial-x..nt t-limit -- seq )
absolute-epsilon	( -- value )
adapt-stepsize	( dt dx..dn error epsilon -- dt' )
approximation-increment	( k*B_i A*h x..nt -- x..nt' )
butcher-tableau	( -- value )
coefficients-and-k-values-product	( k-seq butcher-row -- k*B_i )
epsilon	( dx..dn -- epsilon )
higher-order-error	( rkn rkn-1 stepsize -- e )
n-1-order-coefficients	( -- value )
n-order-coefficients	( -- value )
relative-tolerance	( -- value )
retry-with-adapted-stepsize?	( n epsilon -- ? )
rk	( k-seq -- rkn-1 rkn )
rk-order	( -- n )
runge-kutta	( dt dx..n/dt x..nt -- dt' x..nt' )
runge-kutta-stage-n	( accumulation: vector butcher-row: array dt: float x..nt: array -- x..nt': array )
runge-kutta-stages	( dt: float dx..n/dt: array x..nt: array -- k-seq: vector )
runge-kutta-step	( dx..n' dt' x..nt -- x..nt+1 )
step-change-and-error	( dt dx..nt/dt x..nt -- dx..dn error )
time-limit-predicate	( t-limit -- quot: ( x..nt -- ? ) )

Files


Metadata files


Children from resource:extra

Vocabulary	Summary
math.runge-kutta.examples