01587nam a2200205Ia 4500003001000000005001700010040000900027090001200036245006700048490007500115520081300190650001301003700001801016700001601034856015601050942001401206008004101220999001701261952010301278MX-MdCICY20260521091519.0  cCICY  aB-1623010aOn the numerical solution of two-point boundary value problems0 vCommunications on Pure and Applied Mathematics, 44(4), p.419-452, 19913 aIn this paper, we present a new numerical method for the solution of linear two-point boundary value problems of ordinary differential equations. After reducing the differential equation to a second kind integral equation, we discretize the latter via a high order Nyström scheme. A somewhat involved analytical apparatus is then constructed which allows for the solution of the discrete system using O (N·p2)operations, where N is the number of nodes on the interval and p is the desired order of convergence. Thus, the advantages of the integral equation formulation (small condition number, insensitivity to boundary layers, insensitivity to end-point singularities, etc.)are retained, while achieving a computational efficiency previously available only to finite difference or finite element methods.14aBOUNDARY12aGreengard, L.12aRokhlin, V.40uhttps://drive.google.com/file/d/1YO1ffcoSl97zezTUVe1lvXsoV0Gm5HMu/view?usp=drivesdkzPara ver el documento ingresa a Google con tu cuenta: @cicy.edu.mx  2LoccREF1250602s9999    xx |||||s2   |||| ||und|d  c26343d26343  00102Loc40708F1aCICYbCICYcREd2025-06-25l0oB-16230r2025-06-25 16:01:47w2025-06-25yREF1