bte.utils.IMEX_RK2#

Module Contents#

Classes#

IMEX_RK

IMEX-RK method

IMEX_RK1

IMEX-RK method

IMEX_RK2

IMEX-RK method

IMEX_RK3

IMEX-RK method

IMEX_RK1_stiff

IMEX-RK method

IMEX_RK2_stiff

IMEX-RK method
class bte.utils.IMEX_RK2.IMEX_RK(b1, A1, b2, A2)[source]#

IMEX-RK method

y_t = f(t,y) + g(t,y)

# f(t,y) non-stiff, explicit # g(t,y) stiff, implicit

Parameters:

  • b1 ([type]) – [description]

  • A1 ([type]) – [description]

  • b2 ([type]) – [description]

  • A2 ([type]) – [description]

Raises:

ValueError – A1,b1,A2,b2 shape must be consistent.

__call__(t0, y0, h, f, g, g_solver)[source]#

__call__ [summary]

Parameters:

  • f ([type]) – [description]

  • t0 ([type]) – [description]

  • y0 ([type]) – [description]

  • h ([type]) – [description]

  • g ([type]) – [description]

  • g_solver ([type]) – the solver of u^{(i)}=H(tilde u^{(i)},Delta t A_{ii};G), u=g_solver(tilde_u, Delta t A_{ii})

Returns:

[description]

Return type:

[type]

class bte.utils.IMEX_RK2.IMEX_RK1[source]#

Bases: IMEX_RK

IMEX-RK method

y_t = f(t,y) + g(t,y)

# f(t,y) non-stiff, explicit # g(t,y) stiff, implicit

Parameters:

  • b1 ([type]) – [description]

  • A1 ([type]) – [description]

  • b2 ([type]) – [description]

  • A2 ([type]) – [description]

Raises:

ValueError – A1,b1,A2,b2 shape must be consistent.

class bte.utils.IMEX_RK2.IMEX_RK2[source]#

Bases: IMEX_RK

IMEX-RK method

y_t = f(t,y) + g(t,y)

# f(t,y) non-stiff, explicit # g(t,y) stiff, implicit

Parameters:

  • b1 ([type]) – [description]

  • A1 ([type]) – [description]

  • b2 ([type]) – [description]

  • A2 ([type]) – [description]

Raises:

ValueError – A1,b1,A2,b2 shape must be consistent.

class bte.utils.IMEX_RK2.IMEX_RK3[source]#

Bases: IMEX_RK

IMEX-RK method

y_t = f(t,y) + g(t,y)

# f(t,y) non-stiff, explicit # g(t,y) stiff, implicit

Parameters:

  • b1 ([type]) – [description]

  • A1 ([type]) – [description]

  • b2 ([type]) – [description]

  • A2 ([type]) – [description]

Raises:

ValueError – A1,b1,A2,b2 shape must be consistent.

class bte.utils.IMEX_RK2.IMEX_RK1_stiff[source]#

Bases: IMEX_RK

IMEX-RK method

y_t = f(t,y) + g(t,y)

# f(t,y) non-stiff, explicit # g(t,y) stiff, implicit

Parameters:

  • b1 ([type]) – [description]

  • A1 ([type]) – [description]

  • b2 ([type]) – [description]

  • A2 ([type]) – [description]

Raises:

ValueError – A1,b1,A2,b2 shape must be consistent.

class bte.utils.IMEX_RK2.IMEX_RK2_stiff[source]#

Bases: IMEX_RK

IMEX-RK method

y_t = f(t,y) + g(t,y)

# f(t,y) non-stiff, explicit # g(t,y) stiff, implicit

Parameters:

  • b1 ([type]) – [description]

  • A1 ([type]) – [description]

  • b2 ([type]) – [description]

  • A2 ([type]) – [description]

Raises:

ValueError – A1,b1,A2,b2 shape must be consistent.