近期，李东方教授团队的文章《Kernel-based PINNs for time fractional differential equations and Volterra integral-differential equations》在国际期刊《Physica D-Nonlinear Phenomena》发表。      摘要：In this paper, we propose a novel kernel-based physics informed neural networks (kPINNs) framework for solving time fractional differential equations and Volterra integral differential equations...

      近期，吴付科教授团队的文章《Near-optimal controls of two-time scale functional diffusion systems》在国际期刊《Stochastic Processes and Their Applications》发表。       摘要：This paper investigates near-optimal controls for a class of fully-coupled stochastic functional differential equations (SFDEs) with two-time scales, in which all coefficients depend on the segment processes of both t...

       近期，我院李海波副教授与合作者的文章《Scalable Iterative Data-Adaptive RKHS Regularization》在国际期刊《SIAM Journal on Scientific Computing》发表。       摘要：We present iDARR, a scalable iterative data-adaptive RKHS regularization method for solving ill-posed linear inverse problems. This method searches for solutions in subspaces where the true solution can be identified, with the da...

      近期，吴付科教授团队的文章《Systems of Singularly Perturbed Forward-Backward Stochastic Differential Equations and Control Problems》在国际期刊《SIAM Journal on Control and Optimization》发表。      摘要：This paper focuses on systems of singularly perturbed forward-backward stochastic differential equations (FBSDEs) and control problems. Assuming Lipschitz continuity on the coefficients ...