Index

_

__call__() (ANNSolver method) (Biharmonic method) (BlockMatrixSolver method) (Cheb2Leg method) (Convolve method) (DLT method) (FMMCheb2Leg method) (FMMLeg2Cheb method) (Helmholtz method) (Helmholtz_2dirichlet method) (Leg2Cheb method) (Leg2chebHaleTownsend method) (Solver2D method) (SolverDiagonal method) (SolverGeneric1ND method) (SolverGeneric2ND method) (SparseMatrixSolver method)

A

a() (in module shenfun.jacobi.recursions) a_() (in module shenfun.jacobi.recursions) a_mat() (in module shenfun.jacobi.recursions) ACDCDmat (class in shenfun.laguerre.matrices) ACNCNmat (class in shenfun.chebyshev.matrices) Acos2mat (class in shenfun.fourier.matrices) Acosmat (class in shenfun.fourier.matrices) ADD_matvec() (in module shenfun.optimization.cython.Matvec) ADDSolver (class in shenfun.chebyshev.la) ADNDNmat (class in shenfun.legendre.matrices) AHHHHmat (class in shenfun.chebyshev.matrices) AHHmat (class in shenfun.hermite.matrices) ALLmat (class in shenfun.legendre.matrices) ANN_matvec() (in module shenfun.optimization.numba.helmholtz) ANNSolver (class in shenfun.chebyshev.la) AP1SDmat (class in shenfun.chebyshevu.matrices) AP1SNmat (class in shenfun.chebyshevu.matrices) apply() (Cheb2Leg method) (FMMCheb2Leg method) (FMMLeg2Cheb method) apply_bcs() (SparseMatrixSolver method) apply_bmask_1D() (in module shenfun.optimization.numba) apply_bmask_2D() (in module shenfun.optimization.numba) apply_bmask_3D() (in module shenfun.optimization.numba) apply_bmask_4D() (in module shenfun.optimization.numba) apply_bxmask() (in module shenfun.optimization.numba) apply_constraint() (BlockMatrixSolver static method) apply_constraints() (DiagMA method) (FDMA method) (HeptaDMA method) (PDMA method) (Solver2D static method) (SolverGeneric1ND method) (SolverGeneric2ND method) (SparseMatrixSolver method) (TDMA method) (ThreeDMA method) (TwoDMA method) apply_inverse_mass() (SpectralBase method) apply_mask() (in module shenfun.optimization.numba) apply_mask_1D() (in module shenfun.optimization.numba) apply_mask_2D() (in module shenfun.optimization.numba) apply_mask_3D() (in module shenfun.optimization.numba) apply_mask_4D() (in module shenfun.optimization.numba) argument (BasisFunction property) (Expr property) (TestFunction property) (TrialFunction property) Array (class in shenfun.forms.arguments) ASBSBmat (class in shenfun.chebyshev.matrices) (class in shenfun.legendre.matrices) ASBSDmat (class in shenfun.chebyshev.matrices) ASBTmat (class in shenfun.chebyshev.matrices) ASDHHmat (class in shenfun.chebyshev.matrices) ASDMNmat (class in shenfun.chebyshev.matrices) ASDSD2rp1mat (class in shenfun.legendre.matrices) ASDSD2Trp1mat (class in shenfun.legendre.matrices) ASDSDmat (class in shenfun.chebyshev.matrices) (class in shenfun.legendre.matrices) ASDSDrp1mat (class in shenfun.legendre.matrices) ASNCNmat (class in shenfun.chebyshev.matrices) ASNSNmat (class in shenfun.chebyshev.matrices) (class in shenfun.legendre.matrices) assemble() (ACDCDmat method) (ACNCNmat method) (Acos2mat method) (Acosmat method) (ADNDNmat method) (AHHHHmat method) (AHHmat method) (ALLmat method) (AP1SDmat method) (AP1SNmat method) (ASBSBmat method), [1] (ASBSDmat method) (ASBTmat method) (ASDHHmat method) (ASDMNmat method) (ASDSD2rp1mat method) (ASDSD2Trp1mat method) (ASDSDmat method), [1] (ASDSDrp1mat method) (ASNCNmat method) (ASNSNmat method), [1] (ATSDmat method) (ATSNmat method) (ATTmat method) (AUDUDrp1mat method) (AUDUDrp1smat method) (BCDCDmat method) (Bcos2mat method) (Bcosmat method) (BDNDNmat method) (BHHmat method) (BJJmat method) (BLDLDmat method), [1] (BLLmat method), [1] (BlockMatrix method) (BLSDmat method) (BP1SDmat method) (BP1SNmat method) (BQQmat method) (BSBSBmat method), [1] (BSBSDmat method) (BSBTmat method) (BSDLmat method) (BSDSD1orp1mat method) (BSDSDmat method), [1] (BSDSDrp1mat method) (BSDSNmat method) (BSDTmat method) (BSNSDmat method) (BSNSNmat method), [1] (BTLmat method) (BTSDmat method) (BTSNmat method) (BTTmat method) (BUDUDmat method) (BUDUDrp1mat method) (BUDUDrp1smat method) (BUUmat method) (CLLmat method) (CLLmatT method) (CLSDmat method) (CSBSDmat method) (CSDLmat method) (CSDSBmat method) (CSDSDmat method), [1] (CSDSDTmat method) (CSDSNmat method) (CSDTmat method) (Csincosmat method) (Csinmat method) (CSNSDmat method) (CTSDmat method) (CTTmat method) (CUDUDrp1mat method) (FourierMatrix method) (GUDUDrp1smat method) (IMEXRK3 method) (SBFBFmat method) (SolverGeneric1ND method) (SolverGeneric2ND method) (SpectralMatrix method) (SSBSBmat method), [1]

assemble_sympy() (in module shenfun.matrixbase) assign() (Function method) ATSDmat (class in shenfun.chebyshev.matrices) ATSNmat (class in shenfun.chebyshev.matrices) ATT_matvec() (in module shenfun.optimization.cython.Matvec) ATTmat (class in shenfun.chebyshev.matrices) AUDUDrp1mat (class in shenfun.legendre.matrices) AUDUDrp1smat (class in shenfun.legendre.matrices) axis (SpectralMatrix property)

B

b() (in module shenfun.jacobi.recursions) backend() (HDF5File static method) (NCFile static method) backward() (Function method) (SpectralBase method) BackwardEuler (class in shenfun.utilities.integrators) BandedMatrixSolver (class in shenfun.la) base (BasisFunction property) (Expr property) (Function property) basis() (Expr method) basis_function() (BCGeneric method), [1], [2], [3], [4], [5] (Orthogonal method) (SpectralBase method) BasisFunction (class in shenfun.forms.arguments) BBD_matvec() (in module shenfun.optimization.cython.Matvec) BCDCDmat (class in shenfun.laguerre.matrices) BCGeneric (class in shenfun.chebyshev.bases) (class in shenfun.chebyshevu.bases) (class in shenfun.jacobi.bases) (class in shenfun.laguerre.bases) (class in shenfun.legendre.bases) (class in shenfun.ultraspherical.bases) Bcos2mat (class in shenfun.fourier.matrices) Bcosmat (class in shenfun.fourier.matrices) BDN_matvec() (in module shenfun.optimization.cython.Matvec) BDNDNmat (class in shenfun.legendre.matrices) BeamFixedFree (class in shenfun.legendre.bases) BHHmat (class in shenfun.hermite.matrices) Biharmonic (class in shenfun.chebyshev.la) Biharmonic_factor_oe_pr() (in module shenfun.optimization.cython.la) Biharmonic_factor_pr (Biharmonic attribute) Biharmonic_factor_pr() (in module shenfun.optimization.cython.la) (in module shenfun.optimization.numba.biharmonic) Biharmonic_factor_pr_1D() (in module shenfun.optimization.cython.la) Biharmonic_factor_pr_2D() (in module shenfun.optimization.cython.la) Biharmonic_factor_pr_3D() (in module shenfun.optimization.cython.la) Biharmonic_matvec (Biharmonic attribute) Biharmonic_matvec() (in module shenfun.optimization.cython.Matvec) (in module shenfun.optimization.numba.biharmonic) Biharmonic_Solve (Biharmonic attribute) Biharmonic_Solve() (in module shenfun.optimization.cython.la) (in module shenfun.optimization.numba.biharmonic) BJJmat (class in shenfun.jacobi.matrices) BLDLDmat (class in shenfun.chebyshev.matrices) (class in shenfun.legendre.matrices) BLLmat (class in shenfun.laguerre.matrices) (class in shenfun.legendre.matrices) BlockMatrices() (in module shenfun.matrixbase) BlockMatrix (class in shenfun.matrixbase) BlockMatrixSolver (class in shenfun.la) BLSDmat (class in shenfun.legendre.matrices) bnd_values() (in module shenfun.jacobi.recursions) (JacobiBase static method) (Orthogonal static method)

boundary_condition() (BCGeneric static method), [1], [2], [3], [4], [5] (BeamFixedFree static method) (CombinedShenNeumann static method) (Compact3 static method), [1] (Compact4 static method) (CompactBiharmonic static method), [1] (CompactDirichlet static method), [1], [2], [3] (CompactNeumann static method), [1], [2], [3] (DirichletNeumann static method), [1] (Generic static method), [1], [2], [3], [4], [5] (Heinrichs static method) (LowerDirichlet static method), [1], [2], [3], [4] (LowerDirichletNeumann static method) (MikNeumann static method) (NeumannDirichlet static method), [1] (Orthogonal static method) (Phi1 static method), [1], [2], [3], [4] (Phi2 static method), [1], [2], [3], [4] (Phi3 static method), [1], [2], [3], [4] (Phi4 static method), [1], [2], [3], [4] (Phi6 static method), [1], [2], [3] (PolarDirichlet static method) (ShenBiharmonic static method), [1] (ShenBiPolar static method), [1] (ShenDirichlet static method), [1] (ShenNeumann static method), [1] (UpperDirichlet static method), [1], [2], [3], [4] (UpperDirichletNeumann static method), [1] BoundaryConditions (class in shenfun.spectralbase) BP1SDmat (class in shenfun.chebyshevu.matrices) BP1SNmat (class in shenfun.chebyshevu.matrices) BQQmat (class in shenfun.ultraspherical.matrices) broadcast_to_ndims() (SpectralBase method) BSBSBmat (class in shenfun.chebyshev.matrices) (class in shenfun.legendre.matrices) BSBSDmat (class in shenfun.chebyshev.matrices) BSBTmat (class in shenfun.chebyshev.matrices) BSDLmat (class in shenfun.legendre.matrices) BSDSD1orp1mat (class in shenfun.legendre.matrices) BSDSDmat (class in shenfun.chebyshev.matrices) (class in shenfun.legendre.matrices) BSDSDrp1mat (class in shenfun.legendre.matrices) BSDSNmat (class in shenfun.chebyshev.matrices) BSDTmat (class in shenfun.chebyshev.matrices) BSNSDmat (class in shenfun.chebyshev.matrices) BSNSNmat (class in shenfun.chebyshev.matrices) (class in shenfun.legendre.matrices) BTLmat (class in shenfun.chebyshev.matrices) BTSDmat (class in shenfun.chebyshev.matrices) BTSNmat (class in shenfun.chebyshev.matrices) BTTmat (class in shenfun.chebyshev.matrices) BUDUDmat (class in shenfun.legendre.matrices) BUDUDrp1mat (class in shenfun.legendre.matrices) BUDUDrp1smat (class in shenfun.legendre.matrices) BUUmat (class in shenfun.chebyshevu.matrices)

C

c() (in module shenfun.jacobi.recursions) C2C (class in shenfun.fourier.bases) CachedArrayDict (class in shenfun.utilities) cartesian_mesh() (SpectralBase method) (TensorProductSpace method) CBD_matvec() (in module shenfun.optimization.cython.Matvec) CDB_matvec() (in module shenfun.optimization.cython.Matvec) CDD_matvec() (in module shenfun.optimization.cython.Matvec) CDN_matvec() (in module shenfun.optimization.cython.Matvec) Cheb2Leg (class in shenfun.legendre.dlt) cheb2leg() (in module shenfun.optimization.cython.transforms) (in module shenfun.optimization.numba.transforms) chebval() (in module shenfun.optimization.cython.Cheb) (in module shenfun.optimization.cython.transforms) check_if_kill() (Checkpoint static method) check_sanity() (in module shenfun.matrixbase) Checkpoint (class in shenfun.io) clean_diagonals() (SparseMatrix method) cleanup() (in module shenfun.utilities) clenshaw_curtis1D() (in module shenfun.utilities) CLL_matvec() (in module shenfun.optimization.cython.Matvec) CLLmat (class in shenfun.legendre.matrices) CLLmatT (class in shenfun.legendre.matrices) close() (Checkpoint method) CLSDmat (class in shenfun.legendre.matrices) cn() (in module shenfun.jacobi.recursions) CombinedShenNeumann (class in shenfun.chebyshev.bases) Compact3 (class in shenfun.chebyshev.bases) (class in shenfun.chebyshevu.bases) Compact4 (class in shenfun.chebyshev.bases) CompactBiharmonic (class in shenfun.chebyshevu.bases) (class in shenfun.ultraspherical.bases) CompactDirichlet (class in shenfun.chebyshevu.bases) (class in shenfun.jacobi.bases) (class in shenfun.laguerre.bases) (class in shenfun.ultraspherical.bases) CompactNeumann (class in shenfun.chebyshevu.bases) (class in shenfun.jacobi.bases) (class in shenfun.laguerre.bases) (class in shenfun.ultraspherical.bases)

compatible_base() (TensorProductSpace method) CompositeSpace (class in shenfun.tensorproductspace) compute_rhs() (BackwardEuler method) (IMEXRK3 method) (IRK3 method) configure_backwards() (TensorProductSpace method) Convolve (class in shenfun.tensorproductspace) convolve() (C2C method) (CompositeSpace method) (R2C method) (TensorProductSpace method) convolve_1D() (in module shenfun.optimization.cython.convolve) convolve_real_1D() (in module shenfun.optimization.cython.convolve) Coordinates (class in shenfun.coordinates) copy() (SparseMatrix method) (TPMatrix method) copy_from_flattened() (Function method) copy_to_flattened() (Function method) count_trailing_zeros() (C2C method) cross() (in module shenfun.utilities) cross2D() (in module shenfun.optimization.numba) cross3D() (in module shenfun.optimization.numba) crossND() (in module shenfun.optimization.numba) CSBSDmat (class in shenfun.chebyshev.matrices) CSDLmat (class in shenfun.legendre.matrices) CSDSBmat (class in shenfun.chebyshev.matrices) CSDSDmat (class in shenfun.chebyshev.matrices) (class in shenfun.legendre.matrices) CSDSDTmat (class in shenfun.legendre.matrices) CSDSNmat (class in shenfun.chebyshev.matrices) CSDTmat (class in shenfun.chebyshev.matrices) Csincosmat (class in shenfun.fourier.matrices) Csinmat (class in shenfun.fourier.matrices) CSNSDmat (class in shenfun.chebyshev.matrices) CTSD_matvec() (in module shenfun.optimization.cython.Matvec) CTSDmat (class in shenfun.chebyshev.matrices) CTT_matvec() (in module shenfun.optimization.cython.Matvec) CTTmat (class in shenfun.chebyshev.matrices) CUDUDrp1mat (class in shenfun.legendre.matrices) curl() (in module shenfun.forms.operators)

D

derivative_jacobi() (Orthogonal method) derivative_jacobiQ() (Orthogonal method) destroy() (CompositeSpace method) (Helmholtz_2dirichlet method) (TensorProductSpace method) DiagMA (class in shenfun.la) DiagMA_inner_solve() (in module shenfun.optimization.cython.la) (in module shenfun.optimization.numba.diagma) DiagMA_Solve() (in module shenfun.optimization.cython.la) (in module shenfun.optimization.numba.diagma) DiagMA_Solve_2D() (in module shenfun.optimization.cython.la) DiagMA_Solve_3D() (in module shenfun.optimization.cython.la) diags() (BlockMatrix method) (SolverGeneric2ND method) (SparseMatrix method) dim() (CompositeSpace method) (MixedFunctionSpace method) (SpectralBase method) (TensorProductSpace method) dim_ortho (BCGeneric property), [1], [2], [3], [4], [5] dimensions (BasisFunction property) (Expr property) (SpectralBase property) (TensorProductSpace property) (TPMatrix property)

dims() (CompositeSpace method) (MixedFunctionSpace method) (SpectralBase method) (TensorProductSpace method) dims_composite() (CompositeSpace method) DirichletNeumann (class in shenfun.chebyshev.bases) (class in shenfun.legendre.bases) div() (in module shenfun.forms.operators) djt() (in module shenfun.jacobi.recursions) DLT (class in shenfun.legendre.dlt) dmax() (in module shenfun.chebyshev.matrices) Domain (class in shenfun.spectralbase) domain_factor() (Orthogonal method), [1] (SpectralBase method) domains (TensorProductSpace property) dot() (in module shenfun.utilities) dqn() (in module shenfun.jacobi.recursions) dtype (SpectralBase property) dtype() (TensorProductSpace method) Dx() (in module shenfun.forms.operators) dx() (in module shenfun.utilities)

E

energy_fourier() (in module shenfun.fourier) ETD (class in shenfun.utilities.integrators) ETDRK4 (class in shenfun.utilities.integrators) eval() (BCGeneric method), [1], [2], [3], [4], [5] (CompositeSpace method) (Expr method) (Function method) (Orthogonal method), [1], [2], [3], [4], [5], [6] (SpectralBase method) (TensorProductSpace method) evaluate_2D() (in module shenfun.optimization.cython.evaluate) evaluate_3D() (in module shenfun.optimization.cython.evaluate) evaluate_basis() (BCGeneric method), [1], [2], [3], [4], [5] (Orthogonal method), [1], [2], [3], [4], [5], [6] (SpectralBase method)

evaluate_basis_all() (Orthogonal method), [1], [2] (SpectralBase method) evaluate_basis_derivative() (BCGeneric method), [1], [2], [3], [4], [5] (Orthogonal method), [1], [2], [3], [4], [5] (SpectralBase method) evaluate_basis_derivative_all() (Orthogonal method), [1], [2], [3], [4], [5], [6] (SpectralBase method) evaluate_expansion_all() (in module shenfun.optimization.cython.transforms) (in module shenfun.optimization.numba.transforms) evaluate_lm_2D() (in module shenfun.optimization.cython.evaluate) evaluate_lm_3D() (in module shenfun.optimization.cython.evaluate) Expr (class in shenfun.forms.arguments) expr_rank() (BasisFunction method) (Expr method) extract_bc_matrices() (in module shenfun.matrixbase) extract_diagonal_matrix() (in module shenfun.matrixbase)

F

factor() (Orthogonal static method) family() (Orthogonal static method), [1], [2], [3], [4], [5], [6] fast_solve() (SolverGeneric1ND method) FDMA (class in shenfun.la) FDMA_inner_solve() (in module shenfun.optimization.cython.la) (in module shenfun.optimization.numba.fdma) FDMA_LU() (in module shenfun.optimization.cython.la) (in module shenfun.optimization.numba.fdma) FDMA_Solve() (in module shenfun.optimization.cython.la) (in module shenfun.optimization.numba.fdma) FMMcheb() (in module shenfun.optimization.cython.transforms) FMMCheb2Leg (class in shenfun.legendre.dlt) FMMdirect1() (in module shenfun.optimization.cython.transforms) (in module shenfun.optimization.numba.transforms) FMMdirect2() (in module shenfun.optimization.cython.transforms) (in module shenfun.optimization.numba.transforms)

FMMdirect3() (in module shenfun.optimization.cython.transforms) (in module shenfun.optimization.numba.transforms) FMMdirect4() (in module shenfun.optimization.cython.transforms) (in module shenfun.optimization.numba.transforms) FMMLeg2Cheb (class in shenfun.legendre.dlt) forward() (Array method) (SpectralBase method) forward_output (Array property) (Function property) FourierMatDict (class in shenfun.fourier.matrices) FourierMatrix (class in shenfun.fourier.matrices) Function (class in shenfun.forms.arguments) function_space() (BasisFunction method) (Expr method) FunctionSpace() (in module shenfun.forms.arguments)

G

gamma() (in module shenfun.jacobi.recursions) generate_xdmf() (in module shenfun.io) Generic (class in shenfun.chebyshev.bases) (class in shenfun.chebyshevu.bases) (class in shenfun.jacobi.bases) (class in shenfun.laguerre.bases) (class in shenfun.legendre.bases) (class in shenfun.ultraspherical.bases) get_adaptive() (SpectralBase method) (TensorProductSpace method) get_bc_basis() (in module shenfun.utilities) (in module shenfun.utilities.findbasis) get_bc_space() (JacobiBase method) (Orthogonal method), [1], [2], [3], [4] get_cartesian_basis() (Coordinates method) get_cartesian_vector() (Array method) get_christoffel_second() (Coordinates method) get_contravariant_basis() (Coordinates method) get_contravariant_component() (Expr method) get_contravariant_metric_tensor() (Coordinates method) get_covariant_basis() (Coordinates method) get_covariant_metric_tensor() (Coordinates method) get_data() (SolverGeneric1ND method) get_dealiased() (MixedFunctionSpace method) (SpectralBase method) (TensorProductSpace method) get_dealiased_space() (Function method) get_det_g() (Coordinates method) get_diagonal_axis() (SolverGeneric2ND method) get_homogeneous() (SpectralBase method) (TensorProductSpace method) get_mask_nyquist() (C2C method) (R2C method) (TensorProductSpace method) get_mats() (BlockMatrix method) get_measured_array() (SpectralBase method) (TensorProductSpace method) get_measured_weights() (SpectralBase method) get_norm_sq() (in module shenfun.spectralbase)

get_normal_metric_tensor() (Coordinates method) get_offsets() (CompositeSpace method) get_orthogonal() (BCGeneric method), [1], [2], [3], [4], [5] (Orthogonal method), [1], [2], [3], [4], [5], [6] (SpectralBase method) (TensorProductSpace method) get_recursion_matrix() (Orthogonal method) get_refined() (SpectralBase method) (TensorProductSpace method) get_scaling_factors() (Coordinates method) get_simplified_tpmatrices() (in module shenfun.matrixbase) get_solver() (ACDCDmat method) (ACNCNmat method) (AHHmat method) (AP1SDmat method) (AP1SNmat method) (ASDHHmat method) (ASDMNmat method) (ASDSDmat method) (ASNCNmat method) (ASNSNmat method) (BCDCDmat method) (BSBSBmat method), [1] (BSDSDmat method), [1] (BSNSNmat method) (SparseMatrix method) get_sqrt_det_g() (Coordinates method) get_stencil_matrix() (in module shenfun.utilities) (in module shenfun.utilities.findbasis) get_testspace() (SpectralBase method) (TensorProductSpace method) get_unplanned() (SpectralBase method) (TensorProductSpace method) getBCGeneric() (in module shenfun.spectralbase) getCompositeBase() (in module shenfun.spectralbase) GLL_matvec() (in module shenfun.optimization.cython.Matvec) global_shape() (CompositeSpace method) (TensorProductSpace method) grad() (in module shenfun.forms.operators) GUDUDrp1smat (class in shenfun.legendre.matrices)

H

h() (in module shenfun.jacobi.recursions) HDF5File (class in shenfun.io) Heinrichs (class in shenfun.chebyshev.bases) Helmholtz (class in shenfun.chebyshev.la) Helmholtz_2dirichlet (class in shenfun.legendre.la) Helmholtz_matvec (Helmholtz attribute) Helmholtz_matvec() (in module shenfun.optimization.cython.Matvec) (in module shenfun.optimization.numba.helmholtz)

Helmholtz_Neumann_matvec (Helmholtz attribute) Helmholtz_Neumann_matvec() (in module shenfun.optimization.cython.Matvec) (in module shenfun.optimization.numba.helmholtz) HeptaDMA (class in shenfun.la) HeptaDMA_inner_solve() (in module shenfun.optimization.cython.la) HeptaDMA_LU() (in module shenfun.optimization.cython.la) HeptaDMA_Solve() (in module shenfun.optimization.cython.la)

I

Identity (class in shenfun.matrixbase) IMEXRK011 (class in shenfun.utilities.integrators) IMEXRK111 (class in shenfun.utilities.integrators) IMEXRK222 (class in shenfun.utilities.integrators) IMEXRK3 (class in shenfun.utilities.integrators) IMEXRK443 (class in shenfun.utilities.integrators) imult() (in module shenfun.optimization.cython.Matvec) incorporate_scale() (SparseMatrix method) index() (BasisFunction method) (Expr method) indices() (Expr method) Inner (class in shenfun.forms.inner) inner() (in module shenfun.forms.inner) inner_product() (in module shenfun.spectralbase) inner_solve() (DiagMA static method) (FDMA static method) (HeptaDMA static method) (PDMA static method) (SparseMatrixSolver static method) (TDMA static method) (TDMA_O static method) (ThreeDMA static method) (TwoDMA static method)

input_array (DLT property) (Leg2chebHaleTownsend property) integrate_sympy() (in module shenfun.utilities) IRK3 (class in shenfun.utilities.integrators) is_basis_function (Expr property) is_boundary_basis (BCGeneric property), [1], [2], [3], [4], [5] is_jacobi (JacobiBase property) is_orthogonal (Orthogonal property), [1], [2], [3], [4], [5], [6] islicedict (class in shenfun.spectralbase)

J

jacobi() (Orthogonal method) JacobiBase (class in shenfun.jacobi.bases)

jacobiQ() (Orthogonal static method) jt() (in module shenfun.jacobi.recursions)

L

L2_norm_sq() (JacobiBase method) l2_norm_sq() (JacobiBase method) L2_norm_sq() (Orthogonal method), [1], [2], [3], [4], [5] l2_norm_sq() (Orthogonal method), [1], [2], [3], [4], [5] L2_norm_sq() (SpectralBase method) l2_norm_sq() (SpectralBase method) lagrange_poly() (JacobiBase method) LagrangianParticles (class in shenfun.utilities.lagrangian_particles) Lambda() (in module shenfun.optimization.cython.transforms) (in module shenfun.utilities) Leg2Cheb (class in shenfun.legendre.dlt) leg2cheb() (in module shenfun.optimization.cython.transforms) (in module shenfun.optimization.numba.transforms) Leg2chebHaleTownsend (class in shenfun.legendre.dlt) legendre_lobatto_nodes_and_weights() (in module shenfun.legendre.lobatto) Lmat() (in module shenfun.jacobi.recursions) local_cartesian_mesh() (TensorProductSpace method) local_mesh() (TensorProductSpace method) local_slice() (CompositeSpace method) local_wavenumbers() (TensorProductSpace method) lower (Domain attribute) LowerDirichlet (class in shenfun.chebyshev.bases) (class in shenfun.chebyshevu.bases) (class in shenfun.jacobi.bases) (class in shenfun.legendre.bases) (class in shenfun.ultraspherical.bases)

LowerDirichletNeumann (class in shenfun.chebyshev.bases) LU (FDMA attribute) (HeptaDMA attribute) (PDMA attribute) (TDMA attribute) (TDMA_O attribute) LU() (BandedMatrixSolver static method) LU_Biharmonic (Biharmonic attribute) LU_Biharmonic() (in module shenfun.optimization.cython.la) (in module shenfun.optimization.numba.biharmonic) LU_Biharmonic_1D() (in module shenfun.optimization.cython.la) LU_Biharmonic_2D_n() (in module shenfun.optimization.cython.la) LU_Biharmonic_3D_n() (in module shenfun.optimization.cython.la) LU_Helmholtz (Helmholtz attribute) LU_Helmholtz() (in module shenfun.optimization.cython.la) (in module shenfun.optimization.numba.helmholtz) LU_Helmholtz_1D() (in module shenfun.optimization.cython.la) LU_Helmholtz_2D() (in module shenfun.optimization.cython.la) LU_Helmholtz_3D() (in module shenfun.optimization.cython.la) LU_oe_Biharmonic_1D() (in module shenfun.optimization.cython.la)

M

map_expression_true_domain() (SpectralBase method) map_reference_domain() (SpectralBase method) map_true_domain() (SpectralBase method) mask_nyquist() (Function method) (TensorProductSpace method) matpow() (in module shenfun.jacobi.recursions) matvec() (AHHmat method) (ASBSBmat method) (ASDSDmat method) (ASNSNmat method) (ATTmat method) (BHHmat method) (Biharmonic method) (BLLmat method) (BlockMatrix method) (BSBSBmat method) (BSBSDmat method) (BSDSDmat method) (BSDSNmat method) (BSNSNmat method) (BTLmat method) (BTTmat method) (CLLmat method) (CSBSDmat method) (CSDSBmat method) (CSDSDmat method) (CSDSNmat method) (CTSDmat method) (CTTmat method) (Helmholtz method) (ScipyMatrix method) (Solver2D method) (SolverGeneric1ND method) (SolverGeneric2ND method) (SparseMatrix method) (SpectralMatrix method) (SSBSBmat method) mayavi_show() (in module shenfun.utilities) mesh() (SpectralBase method) (TensorProductSpace method) MikNeumann (class in shenfun.chebyshev.bases) MixedFunctionSpace (class in shenfun.spectralbase) module shenfun shenfun.chebyshev shenfun.chebyshev.bases shenfun.chebyshev.la shenfun.chebyshev.matrices shenfun.chebyshevu shenfun.chebyshevu.bases shenfun.chebyshevu.matrices shenfun.coordinates shenfun.forms shenfun.forms.arguments shenfun.forms.inner shenfun.forms.operators shenfun.forms.project shenfun.fourier shenfun.fourier.bases shenfun.fourier.matrices shenfun.hermite shenfun.hermite.bases shenfun.hermite.matrices shenfun.io shenfun.jacobi shenfun.jacobi.bases shenfun.jacobi.matrices shenfun.jacobi.recursions shenfun.la shenfun.laguerre shenfun.laguerre.bases shenfun.laguerre.matrices shenfun.legendre shenfun.legendre.bases shenfun.legendre.dlt shenfun.legendre.la shenfun.legendre.lobatto shenfun.legendre.matrices shenfun.matrixbase shenfun.optimization shenfun.optimization.cython shenfun.optimization.cython.Cheb shenfun.optimization.cython.convolve shenfun.optimization.cython.evaluate shenfun.optimization.cython.la shenfun.optimization.cython.Matvec shenfun.optimization.cython.transforms shenfun.optimization.numba shenfun.optimization.numba.biharmonic shenfun.optimization.numba.diagma shenfun.optimization.numba.fdma shenfun.optimization.numba.helmholtz shenfun.optimization.numba.pdma shenfun.optimization.numba.tdma shenfun.optimization.numba.threedma shenfun.optimization.numba.transforms shenfun.optimization.numba.twodma shenfun.spectralbase shenfun.tensorproductspace shenfun.ultraspherical shenfun.ultraspherical.bases shenfun.ultraspherical.matrices shenfun.utilities shenfun.utilities.findbasis shenfun.utilities.integrators shenfun.utilities.lagrangian_particles

N

NCFile (class in shenfun.io) NeumannDirichlet (class in shenfun.chebyshev.bases) (class in shenfun.legendre.bases) normf() (in module shenfun.optimization.cython.transforms) num_components() (BasisFunction method) (Expr method) (MixedFunctionSpace method) (TensorProductSpace method) (TensorSpace method) (VectorSpace method)

num_terms() (Expr method)

O

offset() (Array method) (BasisFunction method) open() (Checkpoint method) (HDF5File method) (NCFile method) optimizer() (in module shenfun.optimization) Orthogonal (class in shenfun.chebyshev.bases) (class in shenfun.chebyshevu.bases) (class in shenfun.hermite.bases) (class in shenfun.jacobi.bases) (class in shenfun.laguerre.bases) (class in shenfun.legendre.bases) (class in shenfun.ultraspherical.bases)

orthogonal_basis_function() (Orthogonal method), [1], [2], [3], [4], [5], [6] (SpectralBase method) outer() (in module shenfun.utilities) outer2D() (in module shenfun.optimization.numba) outer3D() (in module shenfun.optimization.numba) output_array (DLT property) (Leg2chebHaleTownsend property)

P

PDMA (class in shenfun.la) PDMA_inner_solve() (in module shenfun.optimization.cython.la) (in module shenfun.optimization.numba.pdma) PDMA_LU() (in module shenfun.optimization.cython.la) (in module shenfun.optimization.numba.pdma) PDMA_Solve() (in module shenfun.optimization.cython.la) (in module shenfun.optimization.numba.pdma) Pentadiagonal_matvec() (in module shenfun.optimization.cython.Matvec) perform_lu() (ADDSolver method) (DiagMA method) (FDMA method) (HeptaDMA method) (PDMA method) (SolverGeneric1ND method) (SolverGeneric2ND method) (SparseMatrixSolver method) (TDMA method) (TDMA_O method) (ThreeDMA method) (TwoDMA method) Phi1 (class in shenfun.chebyshev.bases) (class in shenfun.chebyshevu.bases) (class in shenfun.jacobi.bases) (class in shenfun.legendre.bases) (class in shenfun.ultraspherical.bases) Phi2 (class in shenfun.chebyshev.bases) (class in shenfun.chebyshevu.bases) (class in shenfun.jacobi.bases) (class in shenfun.legendre.bases) (class in shenfun.ultraspherical.bases)

Phi3 (class in shenfun.chebyshev.bases) (class in shenfun.chebyshevu.bases) (class in shenfun.jacobi.bases) (class in shenfun.legendre.bases) (class in shenfun.ultraspherical.bases) Phi4 (class in shenfun.chebyshev.bases) (class in shenfun.chebyshevu.bases) (class in shenfun.jacobi.bases) (class in shenfun.legendre.bases) (class in shenfun.ultraspherical.bases) Phi6 (class in shenfun.chebyshev.bases) (class in shenfun.chebyshevu.bases) (class in shenfun.legendre.bases) (class in shenfun.ultraspherical.bases) plan() (DLT method) (Leg2chebHaleTownsend method) (Orthogonal method), [1], [2] (SpectralBase method) pmat() (in module shenfun.jacobi.recursions) points_and_weights() (Orthogonal method), [1], [2], [3], [4], [5], [6] (SpectralBase method) Poisson_Solve_ADD (ADDSolver attribute) Poisson_Solve_ADD() (in module shenfun.optimization.cython.la) (in module shenfun.optimization.numba.helmholtz) Poisson_Solve_ADD_1D() (in module shenfun.optimization.numba.helmholtz) Poisson_Solve_ADD_2D_ptr() (in module shenfun.optimization.cython.la) Poisson_Solve_ADD_3D_ptr() (in module shenfun.optimization.cython.la) PolarDirichlet (class in shenfun.chebyshev.bases) Project (class in shenfun.forms.project) project() (in module shenfun.forms.project) psi() (in module shenfun.jacobi.recursions)

Q

qn() (in module shenfun.jacobi.recursions)

quiver3D() (in module shenfun.utilities)

R

R2C (class in shenfun.fourier.bases) rank (CompositeSpace property) (SpectralBase property) (TensorProductSpace property) read() (Checkpoint method) (HDF5File method) (NCFile method) reference_domain() (JacobiBase method) (Orthogonal method), [1]

refine() (Function method) reset_profile() (in module shenfun.utilities) restricted_product() (in module shenfun.optimization.cython.transforms) (in module shenfun.optimization.numba.transforms) rhs() (LagrangianParticles method) RK4 (class in shenfun.utilities.integrators) runtimeoptimizer (class in shenfun.optimization)

S

SBB_matvec() (in module shenfun.optimization.cython.Matvec) SBFBFmat (class in shenfun.legendre.matrices) scalar_product() (in module shenfun.optimization.cython.transforms) (in module shenfun.optimization.numba.transforms) (in module shenfun.utilities) (SpectralBase method) scales() (Expr method) ScipyMatrix (class in shenfun.matrixbase) set_basis() (Expr method) set_boundary_dofs() (Function method) setup() (BackwardEuler method) (ETD method) (ETDRK4 method) (IRK3 method) (RK4 method) shape() (BCGeneric method), [1], [2], [3], [4], [5] (C2C method) (CompositeSpace method) (MixedFunctionSpace method) (R2C method) (SpectralBase method) (TensorProductSpace method) (VectorSpace method) ShenBiharmonic (class in shenfun.chebyshev.bases) (class in shenfun.legendre.bases) ShenBiPolar (class in shenfun.chebyshev.bases) (class in shenfun.legendre.bases) ShenDirichlet (class in shenfun.chebyshev.bases) (class in shenfun.legendre.bases) shenfun module shenfun.chebyshev module shenfun.chebyshev.bases module shenfun.chebyshev.la module shenfun.chebyshev.matrices module shenfun.chebyshevu module shenfun.chebyshevu.bases module shenfun.chebyshevu.matrices module shenfun.coordinates module shenfun.forms module shenfun.forms.arguments module shenfun.forms.inner module shenfun.forms.operators module shenfun.forms.project module shenfun.fourier module shenfun.fourier.bases module shenfun.fourier.matrices module shenfun.hermite module shenfun.hermite.bases module shenfun.hermite.matrices module shenfun.io module shenfun.jacobi module shenfun.jacobi.bases module shenfun.jacobi.matrices module shenfun.jacobi.recursions module shenfun.la module shenfun.laguerre module shenfun.laguerre.bases module shenfun.laguerre.matrices module shenfun.legendre module shenfun.legendre.bases module shenfun.legendre.dlt module shenfun.legendre.la module shenfun.legendre.lobatto module shenfun.legendre.matrices module shenfun.matrixbase module shenfun.optimization module shenfun.optimization.cython module shenfun.optimization.cython.Cheb module shenfun.optimization.cython.convolve module shenfun.optimization.cython.evaluate module shenfun.optimization.cython.la module shenfun.optimization.cython.Matvec module shenfun.optimization.cython.transforms module shenfun.optimization.numba module shenfun.optimization.numba.biharmonic module shenfun.optimization.numba.diagma module shenfun.optimization.numba.fdma module shenfun.optimization.numba.helmholtz module shenfun.optimization.numba.pdma module shenfun.optimization.numba.tdma module shenfun.optimization.numba.threedma module shenfun.optimization.numba.transforms module shenfun.optimization.numba.twodma module shenfun.spectralbase module shenfun.tensorproductspace module

shenfun.ultraspherical module shenfun.ultraspherical.bases module shenfun.ultraspherical.matrices module shenfun.utilities module shenfun.utilities.findbasis module shenfun.utilities.integrators module shenfun.utilities.lagrangian_particles module ShenfunFile() (in module shenfun.io) ShenNeumann (class in shenfun.chebyshev.bases) (class in shenfun.legendre.bases) ShiftedMatrix() (in module shenfun.jacobi.recursions) short_name() (BCGeneric static method), [1], [2], [3], [4], [5] (BeamFixedFree static method) (C2C static method) (CombinedShenNeumann static method) (Compact3 static method), [1] (Compact4 static method) (CompactBiharmonic static method), [1] (CompactDirichlet static method), [1], [2], [3] (CompactNeumann static method), [1], [2], [3] (DirichletNeumann static method), [1] (Generic static method), [1], [2], [3], [4], [5] (Heinrichs static method) (LowerDirichlet static method), [1], [2], [3], [4] (LowerDirichletNeumann static method) (MikNeumann static method) (NeumannDirichlet static method), [1] (Orthogonal static method), [1], [2], [3], [4], [5], [6] (Phi1 static method), [1], [2], [3], [4] (Phi2 static method), [1], [2], [3], [4] (Phi3 static method), [1], [2], [3], [4] (Phi4 static method), [1], [2], [3], [4] (Phi6 static method), [1], [2], [3] (PolarDirichlet static method) (R2C static method) (ShenBiharmonic static method), [1] (ShenBiPolar static method), [1] (ShenDirichlet static method), [1] (ShenNeumann static method), [1] (UpperDirichlet static method), [1], [2], [3], [4] (UpperDirichletNeumann static method), [1] simplify() (Expr method) size() (CompositeSpace method) (TensorProductSpace method) slice() (BCGeneric method), [1], [2], [3], [4], [5] (C2C method) (CompositeSpace method) (R2C method) (SpectralBase method) (TensorProductSpace method) slicedict (class in shenfun.spectralbase) Solve (class in shenfun.la) (DiagMA attribute) (FDMA attribute) (HeptaDMA attribute) (PDMA attribute) (TDMA attribute) (TDMA_O attribute) (ThreeDMA attribute) (TwoDMA attribute) solve() (ADDSolver method) (BackwardEuler method) (BandedMatrixSolver method) Solve() (BandedMatrixSolver static method) solve() (BHHmat method) (BLLmat method) (BlockMatrix method) (BTTmat method) (ETD method) (ETDRK4 method) (FourierMatrix method) (Identity method) (IRK3 method) (RK4 method) (SolverGeneric1ND method) (SparseMatrix method) (SparseMatrixSolver method) Solve_Biharmonic_1D() (in module shenfun.optimization.cython.la) Solve_Biharmonic_2D_n() (in module shenfun.optimization.cython.la) Solve_Biharmonic_3D_n() (in module shenfun.optimization.cython.la) solve_data (SolverGeneric1ND attribute) solve_eigen_problem() (Helmholtz_2dirichlet method) Solve_Helmholtz (Helmholtz attribute) Solve_Helmholtz() (in module shenfun.optimization.cython.la) (in module shenfun.optimization.numba.helmholtz) Solve_Helmholtz_1D() (in module shenfun.optimization.cython.la) Solve_Helmholtz_2D_ptr() (in module shenfun.optimization.cython.la) Solve_Helmholtz_3D_ptr() (in module shenfun.optimization.cython.la) Solve_oe_Biharmonic_1D() (in module shenfun.optimization.cython.la) solve_step() (IMEXRK3 method) Solver() (in module shenfun.la) Solver2D (class in shenfun.la) Solver3D (class in shenfun.la) SolverDiagonal (class in shenfun.la) SolverGeneric1ND (class in shenfun.la) SolverGeneric1ND_solve_data() (in module shenfun.optimization.cython.la) SolverGeneric2ND (class in shenfun.la) SolverND (class in shenfun.la) SparseMatrix (class in shenfun.matrixbase) SparseMatrixSolver (class in shenfun.la) SpectralBase (class in shenfun.spectralbase) SpectralMatDict (class in shenfun.matrixbase) SpectralMatrix (class in shenfun.matrixbase) SSBSBmat (class in shenfun.chebyshev.matrices) (class in shenfun.legendre.matrices) stages() (IMEXRK011 method) (IMEXRK111 method) (IMEXRK222 method) (IMEXRK3 method) (IMEXRK443 method) stencil_matrix() (BCGeneric method), [1], [2], [3], [4], [5] (CombinedShenNeumann method) (Heinrichs method) (MikNeumann method) (Orthogonal method), [1], [2], [3], [4], [5] (PolarDirichlet method) (ShenBiPolar method), [1] step() (LagrangianParticles method) steps() (IMEXRK011 class method) (IMEXRK111 class method) (IMEXRK222 class method) (IMEXRK3 class method) (IMEXRK443 class method) subs() (Expr method) surf3D() (in module shenfun.utilities) sympy_L2_norm_sq() (SpectralBase method) sympy_l2_norm_sq() (SpectralBase method) sympy_stencil() (CombinedShenNeumann method) (Heinrichs method) (MikNeumann method) (Orthogonal method), [1], [2] (PolarDirichlet method) (ShenBiPolar method), [1]

T

TDMA (class in shenfun.la) TDMA_inner_solve() (in module shenfun.optimization.cython.la) (in module shenfun.optimization.numba.tdma) TDMA_LU() (in module shenfun.optimization.cython.la) (in module shenfun.optimization.numba.tdma) TDMA_O (class in shenfun.la) TDMA_O_inner_solve() (in module shenfun.optimization.cython.la) (in module shenfun.optimization.numba.tdma) TDMA_O_LU() (in module shenfun.optimization.cython.la) (in module shenfun.optimization.numba.tdma) TDMA_O_Solve() (in module shenfun.optimization.cython.la) (in module shenfun.optimization.numba.tdma) TDMA_Solve() (in module shenfun.optimization.cython.la) (in module shenfun.optimization.numba.tdma) tensor_rank (BasisFunction property) (CompositeSpace property) (Expr property) (SpectralBase property) (TensorSpace property) (VectorSpace property) TensorProductSpace (class in shenfun.tensorproductspace) tensorproductspace (SpectralBase property) (SpectralMatrix property)

TensorSpace (class in shenfun.tensorproductspace) terms() (Expr method) TestFunction (class in shenfun.forms.arguments) ThreeDMA (class in shenfun.la) ThreeDMA_inner_solve() (in module shenfun.optimization.cython.la) (in module shenfun.optimization.numba.threedma) ThreeDMA_Solve() (in module shenfun.optimization.cython.la) (in module shenfun.optimization.numba.threedma) to_chebyshev() (Orthogonal method) to_ortho() (BCGeneric method), [1], [2], [3], [4], [5] (Function method) (Orthogonal method), [1], [2] (SpectralBase method) tolatex() (Expr method) tosympy() (Expr method) TPMatrix (class in shenfun.matrixbase) TrialFunction (class in shenfun.forms.arguments) Tridiagonal_matvec() (in module shenfun.optimization.cython.Matvec) TwoDMA (class in shenfun.la) TwoDMA_inner_solve() (in module shenfun.optimization.cython.la) (in module shenfun.optimization.numba.twodma) TwoDMA_Solve() (in module shenfun.optimization.cython.la) (in module shenfun.optimization.numba.twodma)

U

un() (in module shenfun.jacobi.recursions) unweighted_quadrature_weights() (JacobiBase method) update() (Checkpoint method) upper (Domain attribute) UpperDirichlet (class in shenfun.chebyshev.bases) (class in shenfun.chebyshevu.bases) (class in shenfun.jacobi.bases) (class in shenfun.legendre.bases) (class in shenfun.ultraspherical.bases)

UpperDirichletNeumann (class in shenfun.chebyshev.bases) (class in shenfun.legendre.bases) use_fixed_gauge (TensorProductSpace property)

V

values() (CachedArrayDict method) vandermonde() (BCGeneric method), [1], [2], [3], [4], [5] (Orthogonal method), [1], [2], [3], [4], [5], [6] (SpectralBase method)

VectorSpace (class in shenfun.tensorproductspace) volume (TensorProductSpace property)

W

wavenumbers() (C2C method) (R2C method) (SpectralBase method) (TensorProductSpace method) weight() (JacobiBase method) (Orthogonal method), [1] (SpectralBase method)

wn() (in module shenfun.jacobi.recursions) wrap_periodic() (in module shenfun.utilities) write() (Checkpoint method) (HDF5File method) (NCFile method)