3 citations · 6 across the 6 of their papers we have counts for
6 papers
High order numerical methods for solving high orders functional differential equations
Dang Quang A, Dang Quang Long
In this paper we construct high order numerical methods for solving third and fourth orders nonlinear functional differential equations (FDE). They are based on the discretization…
A Kernel Approach for PDE Discovery and Operator Learning
Da Long, Nicole Mrvaljevic, Shandian Zhe +1
This article presents a three-step framework for learning and solving partial differential equations (PDEs) using kernel methods. Given a training set consisting of pairs of noisy…
AutoIP: A United Framework to Integrate Physics into Gaussian Processes
Da Long, Zheng Wang, Aditi Krishnapriyan +3
Physical modeling is critical for many modern science and engineering applications. From a data science or machine learning perspective, where more domain-agnostic, data-driven mod…
Numerical solution of a nonlinear functional integro-differential equation
Dang Quang A, Pham Huy Dien, Dang Quang Long
In this paper, we consider a boundary value problem (BVP) for a fourth order nonlinear functional integro-differential equation. We establish the existence and uniqueness of soluti…
Existence results and iterative method for solving a fourth order nonlinear integro-differential equation
Dang Quang A, Dang Quang Long
In this paper we consider a class of fourth order nonlinear integro-differential equations with Navier boundary conditions. By the reduction of the problem to operator equation we…
A simple numerical method of second and third orders convergence for solving a fully third order nonlinear boundary value problem
Dang Quang A, Dang Quang Long
In this paper we consider a fully third order nonlinear boundary value problem which is of great interest of many researchers. First we establish the existence, uniqueness of solut…