In this paper we investigate the stochastic multisymplectic methods to solve the stochastic partial differential equation. The stochastic KdV equations are considered. Besides conserving the multi-symplectic structure...
In this paper we investigate the stochastic multisymplectic methods to solve the stochastic partial differential equation. The stochastic KdV equations are considered. Besides conserving the multi-symplectic structure of original equation, the stochastic multi-symplectic methods are also investigated for the conservation of various conservation laws. We deduce the transit laws of the specific formal conservation laws. Numerical experiments are illustrated to verify the good behaviors of stochastic multisymplectic methods.
We propose a multigrid method to solve the molecular mechanics model(molecular dynamics at zero temperature).The Cauchy-Born elasticity model is employed as the coarse grid operator and the elastically deformed state ...
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We propose a multigrid method to solve the molecular mechanics model(molecular dynamics at zero temperature).The Cauchy-Born elasticity model is employed as the coarse grid operator and the elastically deformed state as the initial guess of the molecular mechanics *** efficiency of the algorithm is demonstrated by three examples with homogeneous deformation,namely,one dimensional chain under tensile deformation and aluminum under tension and shear *** method exhibits linear-scaling computational complexity,and is insensitive to parameters arising from iterative *** addition,we study two examples with inhomogeneous deformation:vacancy and nanoindentation of *** results are still satisfactory while the linear-scaling property is lost for the latter example.
This paper presents a textural feature descriptor that can be effectively utilized for grading Hepatocellular carcinoma (HCC) histopathological images. The proposed feature descriptor observes the local and spatial ch...
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This paper presents a textural feature descriptor that can be effectively utilized for grading Hepatocellular carcinoma (HCC) histopathological images. The proposed feature descriptor observes the local and spatial characteristics of the texture by utilizing multifractal computation, and it is incorporated with a bag-of-feature (BOF)-based classification model to classify a set of images. We compare the proposed feature descriptor with four well-founded feature descriptors in the experiments, and benchmark the classification performances. The benchmarked results indicated the significance of the multifractal feature descriptor.
We propose a novel coarse-graining tensor renormalization group method based on the higher-order singular value decomposition. This method provides an accurate but low computational cost technique for studying both cl...
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We propose a novel coarse-graining tensor renormalization group method based on the higher-order singular value decomposition. This method provides an accurate but low computational cost technique for studying both classical and quantum lattice models in two or three dimensions. We have demonstrated this method using the Ising model on the square and cubic lattices. By keeping up to 16 bond basis states, we obtain by far the most accurate numerical renormalization group results for the three-dimensional Ising model. We have also applied the method to study the ground state as well as finite temperature properties for the two-dimensional quantum transverse Ising model and obtain the results which are consistent with published data.
The searching of neighbor particles is the key to the computational efficiency of smoothed particle hydrodynamics (SPH). An algorithm of multi-level dynamic grid-linked list search was presented. All the background gr...
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The searching of neighbor particles is the key to the computational efficiency of smoothed particle hydrodynamics (SPH). An algorithm of multi-level dynamic grid-linked list search was presented. All the background grids are squares or cubes with the side length of one level of grids being whole number times of the lower level. Only limited amount of memory was consumed to store dynamically the virtual coordinates of background grids and particles. The number of grid levels and the multiple of different levels of grid sizes can be selected optimization ally according to the particle number. The optimized values of grid parameters were obtained through verification of searching efficiency. The optimized results show that the searching efficiency is dominated directly by the number of grid levels and influenced by the multiple of different levels of grid sizes to a certain extent. The searching algorithm was validated by the simulation of two oblique hypervelocity impact examples.
The simulation of wave propagation has important applications in many problems such as in computational seismology. Here, we focus on boundary absorbing computations in wave simulation with the finite element method o...
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Waveform inversion of crosshole data based on acoustic wave equation is investigated in this paper. The inversion is set as an optimization problem with the Lagrange multiplier function. The Tikhonov regularization is...
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作者：
Huajie ChenXingao GongLianhua HeAihui ZhouLSEC
Institute of Computational Mathematics and Scientific/Engineering ComputingAcademy of Mathematics and Systems ScienceChinese Academy of SciencesBeijing 100190China Department of Physics
Fudan UniversityShanghai 200433China
In this paper,we study an adaptive finite element method for a class of nonlinear eigenvalue problems resulting from quantum physics that may have a nonconvex energy *** prove the convergence of adaptive finite elemen...
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In this paper,we study an adaptive finite element method for a class of nonlinear eigenvalue problems resulting from quantum physics that may have a nonconvex energy *** prove the convergence of adaptive finite element approximations and present several numerical examples of micro-structure of matter calculations that support our theory.
We present a new flexible alignment method to align two or more similar images, especially biological images. By minimizing an energy functional measuring the difference of the initial image and target image, an L2-gr...
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A conservative modification to the ghost fluid method(GFM)is developed for compressible multiphase *** motivation is to eliminate or reduce the conservation error of the GFM without affecting its *** track the conserv...
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A conservative modification to the ghost fluid method(GFM)is developed for compressible multiphase *** motivation is to eliminate or reduce the conservation error of the GFM without affecting its *** track the conservative variables near the material interface and use this information to modify the numerical solution for an interfacing cell when the interface has passed the *** modification procedure can be used on the GFM with any base *** this paper we use the fifth order finite difference WENO scheme for the spatial discretization and the third order TVD Runge-Kutta method for the time *** level set method is used to capture the *** experiments show that the method is at least mass and momentum conservative and is in general comparable in numerical resolution with the original GFM.
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