Approximation Theory and Approximation Practice¶
Trefethen, L. N. (2013). Approximation Theory and Approximation Practice.
Cited by¶
2 citations across 2 artifacts.
Each citation links to the sentence it supports in the citing article.
Primes¶
- Approximation
- Modern numerical analysis (Trefethen (2013)
This sourceModern treatment of approximation theory emphasizing numerical practice, spectral methods, and regime of validity.
- Modern numerical analysis (Trefethen (2013)
Mechanisms¶
- Successive-Order Refinement
- Higher-order terms can grow rather than shrink, and adding them makes the result worse — the phenomenon that Runge's classic example shows for high-degree interpolation, where piling on terms produces wilder error, not less.
This sourceDocuments Higher-order terms can grow rather than shrink; adding them makes the result worse; Runge's classic example shows for high-degree interpolation; piling on terms produces wilder error, not less.
- Higher-order terms can grow rather than shrink, and adding them makes the result worse — the phenomenon that Runge's classic example shows for high-degree interpolation, where piling on terms produces wilder error, not less.
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