Struct Tableau 

pub struct Tableau<M: DenseMatrix> { /* private fields */ }

A butcher tableau for a Runge-Kutta method.

The tableau is defined by the matrices a, b, c and d and the order of the method. The butchers tableau is often depicted like this example of a 3-stage method:

c1 | a11 0   0
c2 | a21 a22 0
c3 | a31 a32 a33
-------------------
  | b1  b2  b3  
  | be1 be2 be3
-------------------
  | d1  d2  d3

where be is the embedded method for error control and d is the difference between the main and embedded method.

For continous extension methods, the beta matrix is also included.

Implementations

impl<M: DenseMatrix> Tableau<M>

pub fn tr_bdf2(ctx: M::C) -> Self

TR-BDF2 method from R.E. Bank, W.M. Coughran Jr, W. Fichtner, E.H. Grosse, D.J. Rose and R.K. Smith, Transient simulation of silicon devices and circuits, IEEE Trans. Comput.-Aided Design 4 (1985) 436-451. analysed in M.E. Hosea and L.F. Shampine. Analysis and implementation of TR-BDF2. Applied Numerical Mathematics, 20:21–37, 1996.

continuous extension from : from Jørgensen, J. B., Kristensen, M. R., & Thomsen, P. G. (2018). A family of ESDIRK integration methods. arXiv preprint arXiv:1803.01613.

pub fn esdirk34(ctx: M::C) -> Self

A third order ESDIRK method from Jørgensen, J. B., Kristensen, M. R., & Thomsen, P. G. (2018). A family of ESDIRK integration methods. arXiv preprint arXiv:1803.01613.

pub fn tsit45(ctx: M::C) -> Self

pub fn new( a: M, b: M::V, c: M::V, d: M::V, order: usize, beta: Option<M>, ) -> Self

pub fn order(&self) -> usize

pub fn s(&self) -> usize

pub fn a(&self) -> &M

pub fn b(&self) -> &M::V

pub fn c(&self) -> &M::V

pub fn d(&self) -> &M::V

pub fn beta(&self) -> Option<&M>

Trait Implementations

impl<M: Clone + DenseMatrix> Clone for Tableau<M>

where M::V: Clone,

fn clone(&self) -> Tableau<M>

Returns a duplicate of the value.

fn clone_from(&mut self, source: &Self)

Performs copy-assignment from source.