Collocation Methods for Volterra Integral and Related Functional Differential Equations
By Hermann Brunner. 2004
743 citations recorded by the source corpus.
Subfields: Modeling and Simulation, Numerical Analysis
View Paper: https://www.semanticscholar.org/paper/5ca0915049b5e53d8c49d2690879e0b2f673f09a
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Modeling and Simulation
- Javad Katebi
- Ehsan Dadkhah Khiabani
- H. Ghaffarzadeh
- Martin Stynes
- Natalia Kopteva
- Teresa Diogo
- Babak Shiri
In Numerical Analysis
- Javad Katebi
- Ehsan Dadkhah Khiabani
- H. Ghaffarzadeh
- Natalia Kopteva
- Martin Stynes
- Teresa Diogo
- Babak Shiri
Citations in the corpus
- An efficient collocation method for a Caputo two-point boundary value problem (2015, methodology): “Section 3 presents and analyses a collocation method for this integral equation by extending the standard approach of [2] to problems whose right-hand sides are less smooth at x = 0.”
- Cordial Volterra Integral Equations 2 (2010, neutral): “H. Brunner (2004).”
- Collocation and iterated collocation methods for a class of weakly singular Volterra integral equations (2009, background): “For an extensive list of references on these and other approaches see [4].”
- Spline collocation methods for seismic analysis of multiple degree of freedom systems with visco-elastic dampers using fractional models (2020, positive): “The collocation method based on the spline function has many advantages that make them one of the most popular and robust methods, which were extensively studied (Brunner, 2004).”
- Spectral and High-Order Methods with Applications (2006, neutral): “Brunner[26], Davis[37] and Atkinson[6].”
- Earthquake ruptures with thermal weakening and the operation of major faults at low overall stress levels (2009, background): “[93] An extensive literature exists on the numerical solution of functional differential equations [e.g., Baker, 1996, 2000; Brunner, 2004].”