In this paper the author presents a method for the numerical solution of a 2-D Cauchy principal value of the formwhere S is a domain with a continuous boundary. By usmg polar coordinates, the integral is reduced to th...In this paper the author presents a method for the numerical solution of a 2-D Cauchy principal value of the formwhere S is a domain with a continuous boundary. By usmg polar coordinates, the integral is reduced to the formwhere denotes the finite-part of the integral. We construct the relative product rule based onquasi-interpolating splines.Convergence results are proved and numerical examples are given.展开更多
文摘In this paper the author presents a method for the numerical solution of a 2-D Cauchy principal value of the formwhere S is a domain with a continuous boundary. By usmg polar coordinates, the integral is reduced to the formwhere denotes the finite-part of the integral. We construct the relative product rule based onquasi-interpolating splines.Convergence results are proved and numerical examples are given.
