Expansions

class sumpy.expansion.ExpansionBase(kernel, order, use_rscale=None)

with_kernel(kernel)

__len__()

get_coefficient_identifiers()

Returns the identifiers of the coefficients that actually get stored.

coefficients_from_source(avec, bvec, rscale, sac=None)

Form an expansion from a source point.

Parameters

• avec – vector from source to center.

• bvec – vector from center to target. Not usually necessary, except for line-Taylor expansion.

• sac – a symbolic assignment collection where temporary expressions are stored.

Returns

a list of sympy expressions representing the coefficients of the expansion.

translate_from(src_expansion, src_coeff_exprs, src_rscale, dvec, tgt_rscale, sac=None)

__eq__(other)

Return self==value.

__ne__(other)

Return self!=value.

class sumpy.expansion.LinearPDEBasedExpansionTermsWrangler(order, dim, max_mi=None)

__init__(order, dim, max_mi=None)

Parameters

• order – order of the expansion

• dim – number of dimensions

get_pde_as_diff_op()

Returns the PDE as a sumpy.expansion.diff_op.DifferentialOperator object L where L(u) = 0 is the PDE.

Expansion Factories

class sumpy.expansion.ExpansionFactoryBase

An interface .. automethod:: get_local_expansion_class .. automethod:: get_multipole_expansion_class

class sumpy.expansion.DefaultExpansionFactory

An implementation of ExpansionFactoryBase that gives the ‘best known’ expansion for each kernel.

class sumpy.expansion.VolumeTaylorExpansionFactory

An implementation of ExpansionFactoryBase that uses Volume Taylor expansions for each kernel.

Differential Operators

Differential operator interface

class sumpy.expansion.diff_op.DifferentialOperator(dim, mi_to_coeff)

Represents a scalar, constant-coefficient DifferentialOperator of dimension dim. It is represented by a frozen dictionary. The dictionary maps a multi-index given as a tuple to the coefficient. This object is immutable.

Local Expansions

class sumpy.expansion.local.VolumeTaylorLocalExpansion(kernel, order, use_rscale=None)

class sumpy.expansion.local.H2DLocalExpansion(kernel, order, use_rscale=None)

class sumpy.expansion.local.Y2DLocalExpansion(kernel, order, use_rscale=None)

class sumpy.expansion.local.LineTaylorLocalExpansion(kernel, order, use_rscale=None)

Multipole Expansions

class sumpy.expansion.multipole.VolumeTaylorMultipoleExpansion(kernel, order, use_rscale=None)

class sumpy.expansion.multipole.H2DMultipoleExpansion(kernel, order, use_rscale=None)

class sumpy.expansion.multipole.Y2DMultipoleExpansion(kernel, order, use_rscale=None)