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Stability analysis of a multistep method for excavating high spoiled slopes on the Guigu expressway: a case study [PDF]

open access: yesScientific Reports
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
doaj   +2 more sources

Numerical Integration Schemes Based on Composition of Adjoint Multistep Methods

open access: yesAlgorithms, 2022
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
doaj   +1 more source

Adaptive Stepsize Control for Extrapolation Semi-Implicit Multistep ODE Solvers

open access: yesMathematics, 2021
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
doaj   +1 more source

Exponential Multistep Methods for Stiff Delay Differential Equations

open access: yesAxioms, 2022
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
doaj   +1 more source

A Multistep Interval Prediction Method Combining Environmental Variables and Attention Mechanism for Egg Production Rate

open access: yesAgriculture, 2023
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
doaj   +1 more source

Numerical Solutions of Fractional Differential Equations by Using Fractional Explicit Adams Method

open access: yesMathematics, 2020
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
doaj   +1 more source

A Multistep Frank-Wolfe Method

open access: yesCoRR, 2022
12 pages, Continuous time methods for machine learning International Conference on Machine Learning Workshop, Baltimore, Maryland, USA, 2022.
Zhaoyue Chen, Yifan Sun
openaire   +2 more sources

Semi-Implicit Multistep Extrapolation ODE Solvers

open access: yesMathematics, 2020
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
doaj   +1 more source

Probabilistic Linear Multistep Methods [PDF]

open access: yesCoRR, 2016
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
openaire   +4 more sources

Non-Intrusive Inference Reduced Order Model for Fluids Using Deep Multistep Neural Network

open access: yesMathematics, 2019
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
doaj   +1 more source

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