Double exponential formulas for numerical indefinite integration

By M. Muhammad, Masatake Mori. 2003

103 citations recorded by the source corpus.

Subfields: Applied Mathematics, Computational Theory and Mathematics, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/31088f7ae09ccac3da0b23b36c595e1cacf621fd

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In Applied Mathematics

1. Masatake Mori
2. Ahniyaz Nurmuhammad
3. Masaaki Sugihara
4. M. Muhammad

In Computational Theory and Mathematics

1. Masatake Mori
2. Ahniyaz Nurmuhammad
3. Masaaki Sugihara
4. M. Muhammad

In Numerical Analysis

1. Masatake Mori
2. Ahniyaz Nurmuhammad
3. Masaaki Sugihara
4. M. Muhammad
5. Fang Fang
6. Cornelis W. Oosterlee

Citations in the corpus

• Discovery of the Double Exponential Transformation and Its Developments (2005, methodology): “First, Mori and Muhammad applied the DE transformation to indefinite integration [35, 37].”
• Numerical solution of integral equations by means of the Sinc collocation method based on the double exponential transformation (2005, methodology): “We apply the formula for indefinite integration developed by Muhammad and Mori based on the DE transformation to the kernel integral of the Volterra equation because this formula is shown to be optimal from Sugihara’s theorem[6,8].”
• Double exponential transformation in the Sinc-collocation method for a boundary value problem with fourth-order ordinary differential equation (2005, methodology): “Indeed, it has been demonstrated in [2,4,8] that the use of the Sinc method incorporated with the DE transformation gives highly efficient numerical methods for approximation of functions, indefinite numerical integration and the solution of differential equations.”