Posted inNumerical method
Sequences and Series
Introduction Sequences and series have a major role to play in computational methods. In this…
Posted inNumerical method
Number Representations
Introduction In this chapter we consider how numbers are represented on a computer largely with…
Posted inNumerical method
The Discrete Fourier Series (Dfs)
The subject of discrete Fourier series (DFS) and its relationship to the complex Fourier series…
Posted inNumerical method
Inner Products and Inner Product Spaces
The concept of an inner product is necessary before one can talk about orthogonal bases…
Posted inNumerical method
Norms and Normed Spaces
So far our examples of function spaces have been metric spaces (Section 1.3.1). Such spaces…
Posted inNumerical method
Some Special Mappings: Metrics, Norms, And Inner Products
Sets of objects (vectors, sequences, polynomials, functions, etc.) often have certain special mappings defined on…
Posted inNumerical method
Functional Analysis Ideas
Introduction Many engineering analysis and design problems are far too complex to be solved without…