On numerical solution of Fredholm and Hammerstein integral equations via Nyström method and Gaussian quadrature rules for splines
DOI10.1016/j.apnum.2022.01.009zbMath1484.65334OpenAlexW4205354206MaRDI QIDQ2668050
Publication date: 3 March 2022
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.apnum.2022.01.009
numerical integrationFredholm integral equationHammerstein integral equationNyström methodGaussian quadrature rules for splines
Numerical computation using splines (65D07) Numerical methods for integral equations (65R20) Other nonlinear integral equations (45G10) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32) Fredholm integral equations (45B05)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the solution of Fredholm integral equations based on spline quasi-interpolating projectors
- Explicit Gaussian quadrature rules for \(C^1\) cubic splines with symmetrically stretched knot sequences
- Efficient quadrature for NURBS-based isogeometric analysis
- Application of Fibonacci collocation method for solving Volterra-Fredholm integral equations
- Numerical solution of Volterra-Fredholm integral equations via modification of hat functions
- Using rationalized Haar wavelet for solving linear integral equations
- Gaussian quadrature for splines via homotopy continuation: rules for \(C^2\) cubic splines
- Numerical solution of linear Fredholm integral equations via two-dimensional modification of hat functions
- Spline-Gauss rules and the Nyström method for solving integral equations in quantum scattering
- A survey of numerical methods for solving nonlinear integral equations
- Two methods based on bivariate spline quasi-interpolants for solving Fredholm integral equations
- A quasi-interpolation product integration based method for solving Love's integral equation with a very small parameter
- Optimal quadrature rules for odd-degree spline spaces and their application to tensor-product-based isogeometric analysis
- Spline quasi-interpolating projectors for the solution of nonlinear integral equations
- On certain definite quadrature formulae
- Gaussian quadrature rules for \(C^1\) quintic splines with uniform knot vectors
- Spline functions, convex curves and mechanical quadrature
- Moment Theory for Weak Chebyshev Systems with Applications to Monosplines, Quadrature Formulae and Best One-Sided $L^1 $-Approximation by Spline Functions with Fixed Knots
- The Numerical Solution of Integral Equations of the Second Kind
- The Numerical Solution of Systems of Polynomials Arising in Engineering and Science
- Calculation of Gauss Quadrature Rules
- A practical guide to splines.
This page was built for publication: On numerical solution of Fredholm and Hammerstein integral equations via Nyström method and Gaussian quadrature rules for splines