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Computational Error Estimation
2001The strategy for choosing time steps and mesh sizes is dictated by the a posteriori nature of the global bounds given in Theorem III.1 and Theorem III.2 above. Ideally, an adaptive method should keep the global error below a prescribed tolerance. But global errors are difficult to estimate.
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On Weak Residual Error Estimation
SIAM Journal on Scientific Computing, 1996The author develops a general framework for weak residual error estimators applied to various types of boundary value problems in connection with finite element and finite volume approximations. The paper illustrates basic ideas commonly shared by various applications in error estimation and adaptive computation. Some numerical results are given.
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Towards complete and error-free genome assemblies of all vertebrate species
Nature, 2021Arang Rhie +2 more
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Realizing repeated quantum error correction in a distance-three surface code
Nature, 2022Sebastian Krinner +2 more
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Errors, Recovery Processes, and Error Estimates
2005O.C. Zienkiewicz, R.L. Taylor, J.Z. Zhu
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Exponential suppression of bit or phase errors with cyclic error correction
Nature, 2021Kevin J Satzinger +2 more
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