Adaptive Step Selection for a Filtered Implicit Method
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DOI: 10.1007/s10915-025-02861-w
Abstract: Pre-filtering and post-filtering steps can be added to many of the traditional numerical methods to generate new, higher order methods with strong stability properties. Presented in this paper are a variable step pre-filter and post-filter… read more here.
Keywords: implicit method; step selection; adaptive step; step ... See more keywords
High performance adaptive step size fractional numerical scheme for solving fractional differential equations
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DOI: 10.1038/s41598-025-95613-7
Abstract: Fractional differential equations have recently gained popularity due to their ability to simulate a wide range of complex processes in various fields, including engineering, physics, biology, and finance. These equations provide a powerful framework for… read more here.
Keywords: differential equations; fractional differential; adaptive step; high performance ... See more keywords
Distributed Weighted Gradient Descent Method With Adaptive Step Sizes for Energy Management of Microgrids
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DOI: 10.1109/tsg.2024.3400982
Abstract: Economic dispatch problems for power systems become more challenging as the system sizes, types and data increase significantly. Facing these complex optimization problems, centralized optimization methods may fall short and appear inefficient. Conversely, distributed optimization… read more here.
Keywords: gradient descent; method; adaptive step; step sizes ... See more keywords
Adaptive Step-Size Control for Dynamic Relaxation Using Continuous Kinetic Damping
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DOI: 10.1155/2018/4061069
Abstract: Dynamic relaxation (DR) is a widely used numerical method to determine the static equilibrium of a dynamic system. However, it is difficult to apply conventional DR methods to nonlinear models because they require estimation of… read more here.
Keywords: adaptive step; step; step size; convergence rate ... See more keywords