The Discretization Process: Basis/Testing Functions and Convergence

This chapter contains sections titled:

• Inner Product Space

• The Method of Moments

• Examples of Subsectional Basis Functions

• Interpolation Error

• Dispersion Analysis

• Differentiability Constraints on Basis and Testing Functions

• Eigenvalue Projection Theory

• Classification of Operators for Several Canonical Equations

• Convergence Arguments Based on Galerkin's Method

• Convergence Arguments Based on Degenerate Kernel Analogs

• Convergence Arguments Based on Projection Operators

• The Stationary Character of Functionals Evaluated Using Numerical Solutions

• Summary

This chapter contains sections titled:

• References

• Problems