Abstract In a posteriori error analysis, the relationship between and estimator is usually spoiled by so-called oscillation terms, which cannot be bounded error. order to remedy, we devise new approach where has following two properties. First, it dominated error, irrespective of mesh fineness regularity data exact solution. Second, captures in terms part residual that, general, quantified with...

The accumulation of noise in quantum computers is the dominant issue stymieing push algorithms beyond their classical counterparts. We do not expect to be able afford overhead required for error correction next decade, so meantime we must rely on low-cost, unscalable mitigation techniques bring computing its full potential. This paper presents a new technique based phase estimation that can als...