Numerical solution of differential algebraic equations using a multiquadric approximation scheme

DOI10.1016/j.mcm.2010.10.002zbMath1217.65161OpenAlexW2032005046MaRDI QIDQ552056

Solat Karimi Vanani, Azim Aminataei

Publication date: 21 July 2011

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2010.10.002

zbMATH Keywords

error estimationdifferential algebraic equationsHessenberg forms of differential algebraic equationsmultiquadric approximation schemerun time of the methodscattered data points

Mathematics Subject Classification ID

Numerical methods for differential-algebraic equations (65L80)

Related Items (3)

Fuzzy linear singular differential equations under granular differentiability concept ⋮ Numerical solution of Poisson's equation using a combination of logarithmic and multiquadric radial basis function networks ⋮ Numerical methods for a class of differential algebraic equations

Uses Software

• COLNEW
• RODAS

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Interpolation of scattered data: distance matrices and conditionally positive definite functions
• Theory and applications of the multiquadric-biharmonic method. 20 years of discovery 1968-1988
• Multiquadrics - a scattered data approximation scheme with applications to computational fluid-dynamics. I: Surface approximations and partial derivative estimates
• Miscellaneous error bounds for multiquadric and related interpolators
• Multiquadrics -- a scattered data approximation scheme with applications to computational fluid-dynamics. II: Solutions to parabolic, hyperbolic and elliptic partial differential equations
• On the numerical solution of differential--algebraic equations with index-2
• Numerical solution of Poisson's equation using radial basis function networks on the polar coordinate
• ODE Methods for the Solution of Differential/Algebraic Systems
• Projected Implicit Runge–Kutta Methods for Differential-Algebraic Equations
• Scattered Data Interpolation: Tests of Some Method
• A numerical method for heat transfer problems using collocation and radial basis functions
• Collocation Software for Boundary Value Differential-Algebraic Equations
• Multivariate Interpolation and Conditionally Positive Definite Functions. II

This page was built for publication: Numerical solution of differential algebraic equations using a multiquadric approximation scheme