Multiquadric quasi‐interpolation methods for solving partial differential algebraic equations
DOI10.1002/num.21797zbMath1282.65111OpenAlexW2150326217MaRDI QIDQ2874167
Publication date: 29 January 2014
Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/num.21797
numerical examplesradial basis functionsmethod of lineserror estimatecollocationpartial differential algebraic equationsmultiquadricquasi-interpolation methodmodal index
Initial-boundary value problems for second-order parabolic equations (35K20) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)
Related Items (4)
Cites Work
- Unnamed Item
- A method for solving partial differential equations via radial basis functions: application to the heat equation
- Theory and applications of the multiquadric-biharmonic method. 20 years of discovery 1968-1988
- A numerical study of some radial basis function based solution methods for elliptic PDEs
- Stabilization of RBF-generated finite difference methods for convective PDEs
- A matrix decomposition RBF algorithm: approximation of functions and their derivatives
- Univariate multiquadric approximation: Quasi-interpolation to scattered data
- Error estimates and convergence rates for variational Hermite interpolation
- Discretization based indices for semilinear partial differential algebraic equations
- Application of the multiquadric method for numerical solution of elliptic partial differential equations
- A univariate quasi-multiquadric interpolation with better smoothness
- Multiquadrics -- a scattered data approximation scheme with applications to computational fluid-dynamics. II: Solutions to parabolic, hyperbolic and elliptic partial differential equations
- Overlapping domain decomposition method by radial basis functions
- Shape preserving properties and convergence of univariate multiquadric quasi-interpolation
- Radial basis function Hermite collocation approach for the solution of time dependent convection-diffusion problems
- Approximation to the \(k\)-th derivatives by multiquadric quasi-interpolation method
- Multiquadric approximation scheme on the numerical solution of delay differential systems of neutral type
- A linear system-free Gaussian RBF method for the Gross-Pitaevskii equation on unbounded domains
- Stable Computations with Gaussian Radial Basis Functions
- A numerical method for heat transfer problems using collocation and radial basis functions
- The Index of an Infinite Dimensional Implicit System
- A quasi-interpolation method for solving stiff ordinary differential equations
- New Insights in Boundary-only and Domain-type RBF Methods
- Index analysis and numerical solution of a large scale nonlinear PDAE system describing the dynamical behaviour of Molten Carbonate Fuel Cells
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