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def | triangle_basis.rs_to_a (r, s) |
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def | triangle_basis.rs_to_b (r, s) |
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def | triangle_basis.triangle_orthogonal_polynomials (max_degree) |
| An orthogonal polynomial family on the [0, 1], [0, 1] triangle, up to total degree max_degree
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def | triangle_basis.triangle_monomials (max_degree) |
| The monomials in 2 dimensions, with their degrees ordered like [(0, 0), (1, 0), (0, 1), (2, 0), (1, 1), (0, 2), ...].
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def | triangle_basis.triangle_collocation_nodes (order) |
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def | triangle_basis.triangle_exact_quadrature_rule (order) |
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def | triangle_basis.triangle_projected_quadrature_rule (u_rule, v_rule, corner=1) |
| Uses a modification of the procedure described in [1] Xiangxiong Zhang, Yinhua Xia, Chi-Wang Shu.
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def | triangle_basis.tensor_product_quad_rule_2d (u_rule, v_rule) |
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def | triangle_basis.triangle_tensor_product_positivity_preserving_quad_rule (order) |
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def | triangle_basis.triangle_positivity_preserving_quad_rule (order) |
| Computes a quadrature rule on the triangle which is exact for polynomials up to degree order-1 , and which has all-positive weights.
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def | triangle_basis.triangle_positivity_preserving_extra_quad_nodes (order, collocation_nodes) |
| Determine the extra positivity-preserving quadrature nodes, in addition to the face LGL nodes, at which to enforce positivity in the positivity-enforcing limiter.
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def | triangle_basis.triangle_optimal_gq_rule (order) |
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