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Hermiticity and Gaussian Quadrature
The Journal of Chemical Physics, 1964It is often convenient to use Gaussian quadrature techniques to calculate integrals for variational calculations. A basis set may be constructed which is orthonormal under the summations used to approximate the integrals. For this set, the Hamiltonian matrix is Hermitian, in spite of the matrix elements not being calculated exactly.
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On Quadrature Formulae Near Gaussian Quadrature
1992In this paper, for product integration on the finite interval [a, b], we consider the class of n-point quadrature formulae Q n of at least algebraic degree 2n – 3. We study a new approach for their characterization using the simple fact that such a quadrature formula is uniquely determined by one node y and its associated weight b. For a given node y ∈
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Orthogonal polynomials, Gaussian quadratures, and PDEs
Computing in Science & Engineering, 1999Orthogonal polynomials are important in mathematical analysis. They can be used to separate many partial differential equations (PDES) which makes them particularly important in solving physical problems. Also, Gaussian integration provides a highly accurate and efficient algorithm for integrating functions.
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Concerning Gaussian–Chebyshev Quadrature Errors
SIAM Journal on Numerical Analysis, 1972We introduce a method for estimating errors in the Gaussian–Chebyshev quadrature formulas for functions of low order continuity. In particular, we improve an error bound obtained by Johnson and Riess.
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Learned Gaussian quadrature for enriched solid finite elements
Computer Methods in Applied Mechanics and Engineering, 2023Gunwoo Noh, Minchul Yu, San Kim
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A Remark on Gaussian Quadrature
Journal of the London Mathematical Society, 1971openaire +1 more source
Gaussian kernel quadrature Kalman filter
European Journal of Control, 2023Amit Kumar Naik +2 more
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