In this paper, we discuss the conditions for Euler midpoint rule to be volume-preserving and present explicit volume preserving schemes. Some numerical experiments are done to test these schemes.
In this paper, we discuss the conditions for Euler midpoint rule to be volume-preserving and present explicit volume preserving schemes. Some numerical experiments are done to test these schemes.
In this paper, we discuss the conditions for the Euler midpoint rule to be volume-preserving and present Euler type explicit volume-preserving schemes. Some numerical applications to the system defining rigid body mot...
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In this paper, we discuss the conditions for the Euler midpoint rule to be volume-preserving and present Euler type explicit volume-preserving schemes. Some numerical applications to the system defining rigid body motion and the ABC flow are also given.
作者:
KANGTong(康彤)YUDe-hao(余德浩)State Key Laboratory of Scientific and Engineering Computing
Institute of Computational Mathematics and Scientific/Engineering Computing Academy of Mathematics and System Science Chinese Academy of Sciences Beijing 100080 P R China State Key Laboratory of Scientific and Engineering Computing Institute of Computational Mathematics and Scientific/Engineering Computing Academy of Mathematics and System Science Chinese Academy of Sciences Beijing 100080 P R China
A posteriori error estimate of the discontinuous-streamline diffusion method for first-order hyperbolic equations was presented, which can be used to adjust space mesh reasonably. A numerical example is given to illus...
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A posteriori error estimate of the discontinuous-streamline diffusion method for first-order hyperbolic equations was presented, which can be used to adjust space mesh reasonably. A numerical example is given to illustrate the accuracy and feasibility of this method.
Structure deterioration and slow reaction kinetics are the big challenges to hinder the practical application of silicon-based anodes in lithium-ion batteries (LIBs). Herein, have unique properties of Mo2C was introdu...
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Traditional polymer solid electrolytes (PSEs) suffer from low ions conductivity, poor kinetics and safety concerns. Here, we present a novel porous MOF glass gelled polymer electrolyte (PMG-GPE) prepared via a top-dow...
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A long-standing challenge in quantum computing is developing technologies to overcome the inevitable noise in qubits. To enable meaningful applications in the early stages of fault-tolerant quantum computing, devising...
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Electrochemical is crucial in corrosion, energy storage, and electrocatalysts and are essential for mitigating carbon emissions. However, deviations in electrochemical testing can result from experiment errors and ele...
Electrochemical is crucial in corrosion, energy storage, and electrocatalysts and are essential for mitigating carbon emissions. However, deviations in electrochemical testing can result from experiment errors and electrode preparation differences. Therefore, electrochemical experiment results are required to assess the reproducibility. Herein we found that the surface resistance is a key factor of electrochemical testing, and the difference of surface resistance could inform future anode oxidation devices, and enhance the reproducibility and accuracy of electrochemical testing.
We propose PortraitACG, a novel framework for user-guided portrait image editing that leverages an asymmetric conditional generative adversarial network (GAN), which supports the fine-grained editing of geometries, co...
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We propose PortraitACG, a novel framework for user-guided portrait image editing that leverages an asymmetric conditional generative adversarial network (GAN), which supports the fine-grained editing of geometries, colors, lights, and shadows using a single neural network model. Existing conditional GAN-based approaches usually feed the same conditional information into generators and discriminators, which is sub-optimal because these two modules are designed for different purposes. To facilitate flexible user-guided editing, we propose a novel asymmetric conditional GAN, where the generators take the transformed conditional inputs, such as edge maps, color palettes, sliders, and masks, that can be directly edited by the user, and the discriminators take the conditional inputs in a way that can guide controllable image generation more effectively. This allows image editing operations to be performed in a simpler and more intuitive manner. For example, the user can directly use a color palette to specify the desired colors of hair, skin, eyes, lips, and background and use a slider to blend colors. Moreover, users can edit the lights and shadows by modifying their corresponding masks.
Based on the PMHSS preconditioning matrix, we construct a class of rotated block triangular preconditioners for block two-by-two matrices of real square blocks, and analyze the eigen-properties of the corresponding pr...
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Based on the PMHSS preconditioning matrix, we construct a class of rotated block triangular preconditioners for block two-by-two matrices of real square blocks, and analyze the eigen-properties of the corresponding preconditioned matrices. Numerical experiments show that these rotated block triangular pre- conditioners can be competitive to and even more efficient than the PMHSS preconditioner when they are used to accelerate Krylov subspeme iteration methods for solving block two-by-two linear systems with coefficient matrices possibly of nonsymmetric sub-blocks.
This paper investigates quenching solutions of an one-dimensional, two-sided Riemann-Liouville fractional order convection-diffusion problem. Fractional order spatial derivatives are discretized using weighted averagi...
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