The asymptotic cardinal function of the multiquadratic \(\varphi{}(r)=(r^ 2+c^ 2)^{1/2}\) as \(c{\rightarrow{}}\infty\)
From MaRDI portal
Publication:1207551
DOI10.1016/0898-1221(92)90166-FzbMath0764.41016MaRDI QIDQ1207551
Publication date: 1 April 1993
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Related Items
Regular families of kernels for nonlinear approximation ⋮ Convergence estimates for stationary radial basis function interpolation and for semi-discrete collocation-schemes ⋮ Application of the multiquadric method for numerical solution of elliptic partial differential equations ⋮ Cardinal interpolation with general multiquadrics: convergence rates ⋮ Recovery of Paley-Wiener functions using scattered translates of regular interpolators ⋮ Numerical experiments on the condition number of the interpolation matrices for radial basis functions ⋮ Numerical solution of nonlinear Volterra-Fredholm-Hammerstein integral equations via collocation method based on radial basis functions ⋮ Polyhyperbolic Cardinal Splines ⋮ On the increasingly flat radial basis function and optimal shape parameter for the solution of elliptic PDEs ⋮ Multiquadric and its shape parameter -- a numerical investigation of error estimate, condition number, and round-off error by arbitrary precision computation ⋮ A reduced-order modelling for real-time identification of damages in multi-layered composite materials ⋮ Cardinal interpolation with general multiquadrics ⋮ On the convergence of cardinal interpolation by parameterized radial basis functions ⋮ On the structure and interpolation properties of quasi shift-invariant spaces ⋮ Convergence properties of spline-like cardinal interpolation operators acting on \(\ell ^p\) data ⋮ Radial basis functions: developments and applications to planetary scale flows ⋮ Stable computation of multiquadric interpolants for all values of the shape parameter ⋮ A least-squares preconditioner for radial basis functions collocation methods ⋮ Stability and Robustness of RBF Interpolation ⋮ A volumetric integral radial basis function method for time-dependent partial differential equations. I. Formulation ⋮ On the convergence of regular families of cardinal interpolators ⋮ Preconditioned conjugate gradients, radial basis functions, and Toeplitz matrices ⋮ Interpolation in the limit of increasingly flat radial basis functions ⋮ Application of global optimization and radial basis functions to numerical solutions of weakly singular Volterra integral equations ⋮ Educating local radial basis functions using the highest gradient of interest in three dimensional geometries
Cites Work
