pymgrit.dahlquist package

Submodules

pymgrit.dahlquist.dahlquist module

Scalar ODE example: Vector and application class for Dahlquist’s test problem

class pymgrit.dahlquist.dahlquist.Dahlquist(*args, **kwargs)

Bases: pymgrit.core.application.Application

Application class for Dahlquist’s test problem,

u’ = lambda u,

with lambda = -1 and IC u(0) = 1

step(u_start: pymgrit.dahlquist.dahlquist.VectorDahlquist, t_start: float, t_stop: float) → pymgrit.dahlquist.dahlquist.VectorDahlquist

Time integration routine for Dahlquist’s test problem:

BE: Backward Euler FE: Forward Euler TR: Trapezoidal rule MR: implicit Mid-point Rule

Parameters

• u_start – approximate solution for the input time t_start

• t_start – time associated with the input approximate solution u_start

• t_stop – time to evolve the input approximate solution to

Returns

approximate solution for the input time t_stop

class pymgrit.dahlquist.dahlquist.VectorDahlquist(value)

Bases: pymgrit.core.vector.Vector

Vector class for the Dahlquist test equation

clone()

Initialize vector object with same values

clone_rand()

Initialize vector object with random values

clone_zero()

Initialize vector object with zeros

get_values()

Get vector data

norm()

Norm of a vector object

pack()

Specifying communication data

set_values(value)

Set vector data

unpack(value)

Unpacking communication data

Module contents