TY - JOUR A1 - Oates, Chris A1 - Sullivan, T. J. T1 - A modern retrospective on probabilistic numerics T2 - Statistics and Computing N2 - This article attempts to place the emergence of probabilistic numerics as a mathematical-statistical research field within its historical context and to explore how its gradual development can be related to modern formal treatments and applications. We highlight in particular the parallel contributions of Sul'din and Larkin in the 1960s and how their pioneering early ideas have reached a degree of maturity in the intervening period, mediated by paradigms such as average-case analysis and information-based complexity. We provide a subjective assessment of the state of research in probabilistic numerics and highlight some difficulties to be addressed by future works. Y1 - 2019 UR - https://opus4.kobv.de/opus4-zib/frontdoor/index/index/docId/7144 VL - 29 IS - 6 SP - 1335 EP - 1351 ER -