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| template<bool Fwd, typename T > |
| RICCATI_ALWAYS_INLINE auto | riccati::internal::fft (T &&x) |
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| template<typename Mat > |
| RICCATI_ALWAYS_INLINE auto | riccati::coeffs_to_cheby_nodes (Mat &&coeffs) |
| | Convert the Chebyshev coefficient representation of a set of polynomials P_j to their values at Chebyshev nodes of the second kind.
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| template<typename Mat > |
| RICCATI_ALWAYS_INLINE auto | riccati::cheby_nodes_to_coeffs (Mat &&values) |
| | Convert a matrix of values of m polynomials evaluated at n+1 Chebyshev nodes of the second kind to their interpolating Chebyshev coefficients.
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| template<typename Mat > |
| RICCATI_ALWAYS_INLINE auto | riccati::coeffs_and_cheby_nodes (Mat &&values) |
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| template<typename Scalar , typename Integral > |
| RICCATI_ALWAYS_INLINE auto | riccati::integration_matrix (Integral n) |
| | Constructs a Chebyshev integration matrix.
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| template<typename Scalar , typename Integral > |
| RICCATI_ALWAYS_INLINE auto | riccati::quad_weights (Integral n) |
| | Calculates Clenshaw-Curtis quadrature weights.
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| template<typename Scalar , typename Integral > |
| RICCATI_ALWAYS_INLINE auto | riccati::chebyshev (Integral n) |
| | Computes the Chebyshev differentiation matrix and Chebyshev nodes.
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| template<typename Vec1 , typename Vec2 , typename Allocator > |
| RICCATI_ALWAYS_INLINE auto | riccati::interpolate (Vec1 &&s, Vec2 &&t, Allocator &&alloc) |
| | Creates an interpolation matrix from an array of source nodes to target nodes.
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| template<typename SolverInfo , typename Scalar , typename YScalar , typename Integral > |
| RICCATI_ALWAYS_INLINE auto | riccati::spectral_chebyshev (SolverInfo &&info, Scalar x0, Scalar h, YScalar y0, YScalar dy0, Integral niter) |
| | Applies a spectral collocation method based on Chebyshev nodes for solving differential equations.
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