New Online Book! Handbook of Mathematical Functions (AMS55) Conversion & Calculation Home >> Reference Information Handbook of Mathematical Functions With Formulas, Graphs, and Mathematical Tables (AMS55) Purchase the electronic edition of this book in Adobe PDF format! FIRST | PREVIOUS | NEXT | LAST | CONTENTS | PAGE | ABOUT | MEDIUM | LARGE Below is the OCR-scanned text from this page: 25. Numerical Interpolation, Differentiation, and Integration PHILIP J. DAVIS’ AND IVAN POL ON SKY^ Contents Formulas 25.1. Differences . . . . . . . . . . . . . . . . . . . . . . 25.2. Interpolation . . . . . . . . . . . . . . . . . . . . . 25.3. Differentiation . . . . . . . . . . . . . . . . . . . . 25.4. Integration . . . . . . . . . . . . . . . . . . . . . . 25.5. Ordinary Differential Equations . . . . . . . . . . . . . References . . . . . . . . . . . . . . . . . . . . . . . . . . . Table 25.1. +Point Lagrangian Interpolation Coefficients (3 I n 58) . . Page 877 878 882 885 896 898 900 n=3,4, p=- [“ill - (.01) E]) Exact n=51 6,p=- pi1] - (.01) E]) 10D n=7,8, p=- pi1] - (.1) E]) 10D Table 25.2. +Point Coefficients for k-th Order Differentiation ( 1 i k I 5 ) . . . . . . . . . . . . . . . . . . . . . . . . . . 914 k= 1, n=3(1)6, Exact k=2(1)5, n=kfl(l)6, Exact n=3(1) 10, Exact Table 25.3. n-Point Lagrangian Integration Coefficients (3