92 citations · 280 across the 15 of their papers we have counts for
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math.NA2018★ 18 cited
A Comparison of Automatic Differentiation and Continuous Sensitivity Analysis for Derivatives of Differential Equation Solutions
Yingbo Ma, Vaibhav Dixit, Mike Innes +2
Derivatives of differential equation solutions are commonly for parameter estimation, fitting neural differential equations, and as model diagnostics. However, with a litany of cho…
cs.SE2018★ 3 cited
Confederated Modular Differential Equation APIs for Accelerated Algorithm Development and Benchmarking
Christopher Rackauckas, Qing Nie
Performant numerical solving of differential equations is required for large-scale scientific modeling. In this manuscript we focus on two questions: (1) how can researchers empiri…
math.NA2018★ 11 cited
Stability-Optimized High Order Methods and Stiffness Detection for Pathwise Stiff Stochastic Differential Equations
Christopher Rackauckas, Qing Nie
Stochastic differential equations (SDE) often exhibit large random transitions. This property, which we denote as pathwise stiffness, causes transient bursts of stiffness which lim…