May 1, 2021 · This paper presents a numerical method, which can be seen as a generalization of PRK methods, for the adjoint system that gives the exact gradient.
Mar 22, 2020 · This paper presents a numerical method, which can be seen as a generalization of PRK methods, for the adjoint system that gives the exact gradient.
Jan 18, 2021 · Abstract. This study computes the gradient of a function of numerical solutions of ordinary differential equations (ODEs) with.
This paper upgrades the former implicit two-step Peer triplets constructed in [Algorithms, 15:310, 2022] to meet the new requirements for semi-discretized ...
This study computes the gradient of a function of numerical solutions of ordinary differential equations (ODEs) with respect to the initial condition.
May 5, 2022 · this action recovers a partitioned Runge–Kutta method applied to the adjoint system corresponding to extremizing the continuous optimal ...
Hiroshi Yokoyama (横山 寛) on X: "Generalization of partitioned ...
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Generalization of partitioned Runge–Kutta methods for adjoint systems https://t.co/qjJx0tO8an.
Symplectic Runge--Kutta and partitioned Runge--Kutta methods are defined through ... Generalization of partitioned Runge–Kutta methods for adjoint systems.
The theorem shows additionally that, for an RK computation of x, the implied adjoint equation integration is such that the x, X system is discretized with a ...
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Aug 16, 2024 · This generalizes the result of Sanz-Serna (2016), where it is shown that time integration via partitioned Runge–Kutta methods and adjoining ...