Transform Methods in Mathematics

7.

Computational Aspects and Numerical Methods

7.1.

Numerical Implementation

7.1.1.

Discretization Issues

7.1.2.

Sampling Considerations

7.1.3.

Computational Complexity

7.2.

Transform Algorithms

7.2.1.

FFT Implementations

7.2.2.

Optimization Techniques

7.2.3.

Parallel Processing

7.3.

7.3.1.

Truncation Errors

7.3.2.

Round-off Errors

7.3.3.

Stability of Algorithms

7.4.

Software Tools and Libraries

7.4.1.

Transform Functions in Mathematical Software

7.4.2.

Implementation Considerations

7.4.3.

Performance Optimization

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6. Advanced Applications

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1. Foundations of Transform Methods