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Stability analysis of a multistep method for excavating high spoiled slopes on the Guigu expressway: a case study [PDF]
This study examines the stability of a spoiled heap along the Guigu Expressway. Through onsite investigations, laboratory tests, numerical analyses, and onsite monitoring, this case study evaluates the reinforcement effect of a multistep method for ...
Jingtao Zhang +4 more
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Numerical Integration Schemes Based on Composition of Adjoint Multistep Methods
A composition is a powerful tool for obtaining new numerical methods for solving differential equations. Composition ODE solvers are usually based on single-step basic methods applied with a certain set of step coefficients.
Dmitriy Pesterev +4 more
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Adaptive Stepsize Control for Extrapolation Semi-Implicit Multistep ODE Solvers
Developing new and efficient numerical integration techniques is of great importance in applied mathematics and computer science. Among the variety of available methods, multistep ODE solvers are broadly used in simulation software.
Denis Butusov
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Exponential Multistep Methods for Stiff Delay Differential Equations
Stiff delay differential equations are frequently utilized in practice, but their numerical simulations are difficult due to the complicated interaction between the stiff and delay terms.
Rui Zhan +3 more
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The egg production rate is a crucial metric in animal breeding, subject to biological and environmental influences and exhibits characteristics of small sample sizes and non-linearity.
Hang Yin +7 more
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Numerical Solutions of Fractional Differential Equations by Using Fractional Explicit Adams Method
Differential equations of fractional order are believed to be more challenging to compute compared to the integer-order differential equations due to its arbitrary properties.
Nur Amirah Zabidi +3 more
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A Multistep Frank-Wolfe Method
12 pages, Continuous time methods for machine learning International Conference on Machine Learning Workshop, Baltimore, Maryland, USA, 2022.
Zhaoyue Chen, Yifan Sun
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Semi-Implicit Multistep Extrapolation ODE Solvers
Multistep methods for the numerical solution of ordinary differential equations are an important class of applied mathematical techniques. This paper is motivated by recently reported advances in semi-implicit numerical integration methods, multistep and
Denis Butusov +4 more
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Probabilistic Linear Multistep Methods [PDF]
We present a derivation and theoretical investigation of the Adams-Bashforth and Adams-Moulton family of linear multistep methods for solving ordinary differential equations, starting from a Gaussian process (GP) framework. In the limit, this formulation coincides with the classical deterministic methods, which have been used as higher-order initial ...
Onur Teymur +2 more
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Non-Intrusive Inference Reduced Order Model for Fluids Using Deep Multistep Neural Network
In this effort we propose a data-driven learning framework for reduced order modeling of fluid dynamics. Designing accurate and efficient reduced order models for nonlinear fluid dynamic problems is challenging for many practical engineering applications.
Xuping Xie +2 more
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