supported by KTH Digital Futures Postdoctoral Program.
This paper presents decentralized solutions for pursuit-evasion problems involving high-order integrators with intracoalition cooperation and intercoalition confrontation.Distinct error variables and hyper-variables a...
supported by the National Natural Science Foundation of China(12271523,11901577,11971481,12071481);the National Key R&D Program of China(SQ2020YFA0709803);the Defense Science Foundation of China(2021-JCJQ-JJ-0538);the National Key Project(GJXM92579);the Natural Science Foundation of Hunan(2020JJ5652,2021JJ20053);the Research Fund of National University of Defense Technology(ZK19-37,ZZKY-JJ-21-01);the Science and Technology Innovation Program of Hunan Province(2021RC3082);the Research Fund of College of Science,National University of Defense Technology(2023-lxy-fhjj-002).
We develop a class of conservative integrators for the regularized logarithmic Schrodinger equation(RLogSE)using the quadratization technique and symplectic Runge-Kutta schemes.To preserve the highly nonlinear energy ...
In this work,a consistent and physically accurate implementation of the general framework of unified second-order time accurate integrators via the well-known GSSSS framework in the Discrete Element Method is presente...
supported by the National Natural Science Foundation of China(Grant Nos.11901564 and 12171466).
We propose Poisson integrators for the numerical integration of separable Poisson systems.We analyze three situations in which Poisson systems are separated in threeways and Poisson integrators can be constructed by u...
In this research, we have improved a relaxation method for triangular meshes intended for finite element fluid simulations which contain discrete element particles. The triangle edges are treated as springs which rela...
In this paper,we study the convergence rate of an Embedded exponential-type low-regularity integrator(ELRI)for the Korteweg-de Vries equation.We develop some new harmonic analysis techniques to handle the"stability"is...
The multi-frequency and multi-dimensional adapted Runge-Kutta^NystrSm (ARKN) integrators, and multi-frequency and multi-dimensional extended Runge-Kutta-NystrSm (ERKN) integrators have been developed to efficientl...
The continuous approximations play a vital role in N-body simulations. We constructed three different types, namely, one-step (cubic and quintic Hermite), two-step, and three-step Hermite interpolation schemes. The co...
supported by the NNSFC(No.11001009);supported by the Director Foundation of GUCAS,the NNSFC(No.11071251);supported by the Foundation of CAS and the NNSFC(No.11021101,No.91130003).
In this paper we propose stochastic multi-symplectic conservation law for stochastic Hamiltonian partial differential equations,and develop a stochastic multisymplectic method for numerically solving a kind of stochas...
supported by National Natural Science Foundation of China(Grant Nos.10901074,11271171,91130003,11001009 and 11101399);the Province Natural Science Foundation of Jiangxi(Grant No. 20114BAB201011);the Foundation of Department of Education of Jiangxi Province(Grant No.GJJ12174);the State Key Laboratory of Scientific and Engineering Computing,CAS;supported by the Youth Growing Foundation of Jiangxi Normal University in 2010
A multisymplectic Fourier pseudo-spectral scheme, which exactly preserves the discrete multisym- plectic conservation law, is presented to solve the Klein-Gordon-SchrSdinger equations. The scheme is of spectral accura...