2. Indirect Discrete Approximation to the Solution of a Functional Equation3. Discrete Approximation to Solutions of Boundary Value Problems; 4. Error Estimates for Discretization Methods for Data with Less Restrictive Structure; References; Chapter 3. Interior Regularity and Local Convergence of Galerkin Finite Element Approximations for Elliptic Equations; 1. Introduction; 2. Hypotheses; 3. Preliminaries; 4. Interior Regularity and Local Convergence; 5. Finite Differences; References; Chapter 4. Numerical Estimates for the Error of Gauss-Jacobi Quadrature Formulae; 1. Introduction

2. The Numerical Estimation of the Error Term3. On the Error of Padé Approximation; 4. On the Calculation of Elliptic Integrals; References; Chapter 5. Some Remarks on the Unified Treatment of Elementary Functions by Microprogramming; 1. Introduction; 2. Chen's Algorithms; 3. General Classification of Known Algorithms; 4. Perle's Application of CORDIC; 5. Remark on the Square Root through Hyperbolic CORDIC; References; Addenda; Chapter 6. Application of Finite Difference Methods to Exploration Seismology; Introduction; Formulation of Seismic Exploration Model; Finite-Difference Models

Grid DispersionResults; Edge Reflections; Conclusions; References; Chapter 7. Variable Coefficient Multistep Methods for Ordinary DifFerential Equations applied to Parabolic Partial Differential Equations; 1. Semi-discretization; 2. Variable Coefficient Multistep Methods (VCMM); 3. Examples; Acknowledgment; References; Chapter 8. Realistic Estimates for Generic Constants in Multivariate Pointwise Approximation; 1. Introduction; 2. The General Problem of Error Estimation; 3. Taylor's Formula and Relevant Algebraic Topics; 4. Sharp Appraisals for Practical Error Coefficients of Chebyshev Type

5. Two Examples of ApplicationReferences; Chapter 9. Matching of Essential Boundary Conditions in the Finite Element Method; 1. Introduction; 2. Blending Function Interpolants; 3. Transfinite Mappings; 4. Isoparametric Elements; 5. Direct Methods; References; Chapter 10. Collocation, Difference Equations, and Stitched Function Representations; Abstract; 1. Introduction; 2. Collocation by Piecewise Smooth Functions; 3. An mth Order Difference Approximation; 4. A Class of Intermediate Schemes; References