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On Roundoff Error Growth in Elliptic Problems
ACM Transactions on Mathematical Software, 2018Large-scale linear systems arise in finite-difference and finite-element discretizations of elliptic problems. With increasing computer performance, ever larger systems are solved using direct methods. How large can such systems be without roundoff compromising accuracy? Here we model roundoff dynamics in standard LU
Ivo Babuška, Gustaf Söderlind
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