PVTSI m : A Novel Approach to Computation of Hadamard Finite Parts of Nonperiodic Singular Integrals.

We consider the numerical computation of $I[f]=\intBar^b_a f(x)\,dx$, the Hadamard Finite Part of the finite-range singular integral $\int^b_a f(x)\,dx$, $f(x)=g(x)/(x-t)^{m}$ with $a

Keywords:

• Quadrature (mathematics)
• Combinatorics
• Computation
• Invariant (mathematics)
• Physics
• Hadamard transform
• Gravitational singularity
• Numerical integration
• Singular integral
• Periodic graph (geometry)

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