In this paper, we presented an asymptotic fitted approach to solve singularly perturbed delay differential equations of second order with left and right boundary. In this approach, the singularly ...

Keke Wu, Xiong-Bin Yan, Shi Jin, and Zheng Ma. Capturing the Diffusive Behavior of the Multiscale Linear Transport Equations by Asymptotic-Preserving Convolutional DeepONets. Comput. Methods Appl.

The primary focus of the book is to explore the asymptotic behavior of problems formulated within cylindrical structures. Various physical applications are discussed, with certain topics such as fluid ...

In this paper, some theoretical aspects will be addressed for the asymptotic preserving discontinuous Galerkin implicit-explicit (DG-IMEX) schemes recently proposed in [J. Jang, F. Li, J.-M. Qiu, and ...

Shi Jin, Zheng Ma, and Keke Wu. Asymptotic-preserving neural networks for multiscale time-dependent linear transport equations. J. Sci. Comput., 94(3):57, 2023. [PDF] Shi Jin, Zheng Ma, and Keke Wu.

The field of asymptotic analysis serves as a cornerstone in understanding the behaviour of wave equations and their applications in hydrodynamics. This area of research focuses on developing ...

Dissipative wave equations constitute an extensive class of partial differential equations wherein damping terms play a pivotal role in governing the long-term dynamics of the system. Recent ...

Abstract: In this paper a homotopy approach, called the optimal homotopy asymptotic method (OHAM) is presented as a new and powerful technique for analytical treatment of a nonlinear problem related ...

Abstract: We investigate the error between any discrete solution of the implicit marker-and-cell (MAC) numerical scheme for compressible Navier–Stokes equations in ...

School of Statistics and Data Science, Guangdong University of Finance and Economics, Guangzhou, China. As regards the damped MHD equations (1.1), the definition of strong solution is as follows.

Scandinavian Journal of Statistics, Vol. 26, No. 2 (Jun., 1999), pp. 297-318 (22 pages) Properties of Huber's M-estimators based on estimating equations have been studied extensively and are well ...