Definitions of 1D quadrature weights and node locations and polynomial basis functions. More...
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Namespaces | |
| smith | |
| Accelerator functionality. | |
Functions | |
| template<int n, typename T = double> | |
| constexpr SMITH_HOST_DEVICE tensor< T, n > | smith::GaussLobattoNodes (T a=T(0), T b=T(1)) |
| The positions (in 1D space) of Gauss-Lobatto points. More... | |
| template<int n, mfem::Geometry::Type geom> | |
| constexpr SMITH_HOST_DEVICE auto | smith::GaussLegendreNodes () |
| The positions of Gauss-Legendre points for different geometries. More... | |
| template<int n, mfem::Geometry::Type geom> | |
| constexpr SMITH_HOST_DEVICE auto | smith::GaussLegendreWeights () |
| The weights associated with each Gauss-Legendre point. More... | |
| constexpr SMITH_HOST_DEVICE int | smith::factorial (int n) |
| compute n! More... | |
| template<int n, typename T > | |
| constexpr SMITH_HOST_DEVICE tensor< T, n > | smith::powers (T x) |
| compute the first n powers of x More... | |
| template<int n, typename S > | |
| constexpr SMITH_HOST_DEVICE tensor< S, n > | smith::ChebyshevT (S x) |
| Chebyshev polynomials of the first kind Satisfying: T_n(cos(t)) == cos(n*t) More... | |
| template<int n, typename T > | |
| SMITH_HOST_DEVICE tensor< T, n > | smith::ChebyshevU (T x) |
| Chebyshev polynomials of the second kind Satisfying: sin(t) U_n(cos(t)) == sin((n+1)*t) More... | |
| template<int n, typename T > | |
| SMITH_HOST_DEVICE tensor< T, n > | smith::Legendre (T x) |
| Legendre Polynomials, orthogonal on the domain (-1, 1) with unit weight function. More... | |
| template<int n, typename T > | |
| SMITH_HOST_DEVICE tensor< T, n > | smith::Bernstein (T s) |
| Bernstein Polynomials on the domain [0, 1]. More... | |
| template<int n, typename T > | |
| constexpr SMITH_HOST_DEVICE tensor< T, n > | smith::GaussLobattoInterpolation ([[maybe_unused]] T x) |
| Lagrange Interpolating polynomials for nodes at Gauss-Lobatto points on the interval [0, 1]. More... | |
| template<int n, typename T > | |
| constexpr SMITH_HOST_DEVICE tensor< T, n > | smith::GaussLobattoInterpolationDerivative ([[maybe_unused]] T x) |
| Derivatives of the Lagrange Interpolating polynomials for nodes at Gauss-Lobatto points on the interval [0, 1]. More... | |
| template<int n, typename T > | |
| constexpr SMITH_HOST_DEVICE tensor< T, n > | smith::GaussLegendreInterpolation ([[maybe_unused]] T x) |
| Lagrange Interpolating polynomials for nodes at Gauss-Legendre points on the interval [0, 1]. More... | |
| template<int n, typename T > | |
| constexpr SMITH_HOST_DEVICE tensor< T, n > | smith::GaussLegendreInterpolationDerivative ([[maybe_unused]] T x) |
| Derivatives of the Lagrange Interpolating polynomials for nodes at Gauss-Legendre points on the interval [-1, 1]. More... | |
Detailed Description
Definitions of 1D quadrature weights and node locations and polynomial basis functions.
Definition in file polynomials.hpp.
