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What is Chapter 29: Conditioning of linear differential equations about?
The condition number has appeared repeatedly in error bounds for collocation methods. In this chapter, we look more closely at the role of the condition number and study examples of ill-conditioned problems. ## Conditioning for continuous and discrete problems Recall that when a linear system Ax D b is ill conditioned, a small residual b AO x does not imply a small error x O x. (See Theorem 21.3 and the surrounding discussion.) A similar phenomenon is possible for differential equations.
- Published
- 2019
- Language
- EN
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