Detailed Error Analysis for a Fractional Adams Method
By Kai Diethelm, Neville J. Ford, Alan D. Freed. Numerical Algorithms, 2004
950 citations recorded by the source corpus.
Subfields: Modeling and Simulation, Numerical Analysis
View Paper: https://www.semanticscholar.org/paper/e3b0d6835a491aebe48bb7221b4e4b51f079e2ce
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
- Ş. Yüzbaşı
- Shaher Momani
- Weihua Deng
- Dumitru Băleanu
- Zaid M. Odibat
- Roberto Garrappa
- Neville J. Ford
- Shahrokh Esmaeili
In Numerical Analysis
- Ş. Yüzbaşı
- Shaher Momani
- Weihua Deng
- Zaid M. Odibat
- Mohsen Razzaghi
- Dumitru Băleanu
- Roberto Garrappa
- Neville J. Ford
Citations in the corpus
- Fractional-order uniaxial visco-elasto-plastic models for structural analysis (2016, methodology): “proposed a predictor–corrector scheme in addition to a fractional Adams method [20,21].”
- The homotopy analysis method for solving the time-fractional Fornberg-Whitham equation and comparison with Adomian's decomposition method (2013, methodology): “These methods include the finite difference method [4–6], the Adams–Bashforth–Moulton method [7], the homotopy perturbation method (HPM) [8–10], the generalized differential transform method [11,12], the variational iteration method [13–15] and the Adomian’s decomposition method (ADM) [16,17].”
- Alternative variational iteration method for solving the time-fractional Fornberg–Whitham equation (2015, neutral): “, the finite difference method [11,12], reproducing kernel space method [13,14], Adams–Bashforth–Moulton method [15], homotopy perturbation method [16,17], Adomian decomposition method [18,19], homotopy analysis method [20,21], and generalized differential transform method [22,23].”
- Variable-Order Fractional Operators for Adaptive Order and Parameter Estimation (2014, methodology): “ticular, commensurate order fractional filters have been implemented by means of the generalized Trapezoidal rule, namely an algorithm of the Adams-Bashforth-Moulton type (see [8]) which was reshaped in a particularly simple and compact formalization in [15].”
- The characteristic function of rough Heston models (2016, methodology): “Here we choose the well-known fractional Adams method investigated in [10, 11, 12].”