Exponential convergence and H‐c multiquadric collocation method for partial differential equations

By Alexander H. D. Cheng, Michael A. Golberg, Edward J. Kansa, G. Zammito. 2003

423 citations recorded by the source corpus.

Subfields: Computational Mechanics, Electrical and Electronic Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/831275a5ea5c56f065c87a297c0e6c4cb599226a

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Mechanics

1. Shengyin Wang
2. Michael Y. Wang
3. Chi-Wang Shu
4. Hang Ding
5. D. Tang
6. J. Cabral
7. A. J. Ferreira
8. C. Roque

In Electrical and Electronic Engineering

1. Alexander H. D. Cheng
2. Michael Y. Wang
3. Shengyin Wang
4. J. Cabral
5. A. J. Ferreira
6. C. Roque
7. R. N. Jorge
8. Hang Ding

In Mechanics of Materials

1. A. J. Ferreira
2. C. Roque
3. R. N. Jorge
4. Chi-Wang Shu
5. Gregory E. Fasshauer
6. Michael Y. Wang
7. Shengyin Wang
8. Erasmo Carrera

Citations in the corpus

• Analysis of Functionally Graded Plates by a Robust Meshless Method (2007, methodology): “This idea is quite natural and its use has been justified before in the context of greedy adaptive algorithms for both RBF interpolation and collocation problems [46, 47] and as a guide for finding an optimal shape parameter for collocation problems [48].”
• A collocation method based on one-dimensional RBF interpolation scheme for solving PDEs (2007, neutral): “where {w(i)}x i=1 are RBF weights to be determined; {g(i)(x)}x i=1 are known RBFs; H[1](x) = ∫ H[2](x)dx, H[0](x) = ∫ H[1](x)dx; and c1 and c2 are integration constants.”