supported by the National Key Research and Development Program of China(Grant No.2020YFA0714200);by the National Natural Science Foundation of China(Grants No.12125103,12071362,12101062);by China Postdoctoral Sci-ence Foundation(Grant No.2019M660558);by the Natural Science Foundation of Hubei Province(Grant No.2019CFA007)。
In this paper,we propose hierarchical absorbing interface conditions to solve the problem of wave propagation in domains with a non-uniform space discretization or grid size inhomogeneity using Pad´e Via Lanczos(PVL)...
Background: High-resolution medical images often need to be downsampled because of the memory limitations of the hardware used for machine learning. Although various image interpolation methods are ap...
When D is a linear partial differential operator of any order, a direct problem is to look for an operator D1 generating the compatibility conditions (CC)
The nuclear properties in the"island of inversion"and nuclear superdeformation around N,Z=20 are among the hot topics in the current nuclear physics studies.The multiple particlehole excitations across sd-pf major she...
In this paper, we present a block Lanczos met hod for solving the large-scale CDT subproblem. During the algorithm, the original CDT subproblem is projected to a smallscale one, and then some classical method is emplo...
supported by the National Natural Science Foundation of China(61304094,61673198,61773187);the Natural Science Foundation of Liaoning Province,China(20180520009)
This study explores a stable model order reduction method for fractional-order systems. Using the unsymmetric Lanczos algorithm, the reduced order system with a certain number of matched moments is generated. To obtai...
The authors would like to thank the anonymous referees for their careful reading and comments. This work of the first author was supported in part by the National Natural Science Foundation of China (Grant Nos. 11671246, 91730303, 11371102) and the work of the second author was supported in part by the National Natural Science Foundation of China (Grant Nos. 91730304, 11371102, 91330201).
Because of its vital role of the trust-region subproblem (TRS) in various applications, for example, in optimization and in ill-posed problems, there are several factorization-free algorithms for solving the large-s...
supported by the National Natural Science Foundation of China(No.41574098);National Key Research and Development Program(No.2016YFC06011050);National Oil and Gas Major Project(No.2016ZX05006-002)
With an increasing demand for high-resolution imaging of complex subsurface structures, thin layers and hidden reservoirs, borehole and cross-well seismic migration methods have become important. However, large differ...
Supported by the National Natural Science Foundation of China(11105040,61773153);Supported by the Foundation of Henan Educational Committee(18B110003,15A110015);Supported by the Excellent Young Scientific Talents Cultivation Foundation of Henan University(yqpy20140037);Supported by the Science and Technology Program of Henan Province(162300410061)
Fractional-in-space Allen-Cahn equation containing a very strong nonlinear source term and small perturbation shows metastability and a quartic double well potential.Using a finite volume unstructured triangular mesh ...