Numerical Methods for Ordinary Differential Equations - Initial Value Problems

By D. Griffiths, Desmond John Higham. Springer Undergraduate Mathematics Series, 2010

353 citations recorded by the source corpus.

Subfields: Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/7ec017a56c7433fe0676bb0b6cd3849e5c98838c

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In Numerical Analysis

1. Yongxin Chen
2. Qinsheng Zhang

Citations in the corpus

• ISNet: Shape Matters for Infrared Small Target Detection (2022, methodology): “It is noteworthy that most existing ODE-based networks are designed based on the Euler method [29], although the numerical solutions of ODE based on the Taylor method can always deliver better accuracy [11].”
• Fast Sampling of Diffusion Models with Exponential Integrator (2022, background): “There exist many different numerical solvers for Eq (5) associated with different discretization schemes to approximate Eq (6) [9].”