Boundary value problems for nonlinear partial differential equations form a cornerstone of modern mathematical analysis, bridging theoretical advancements and practical real-world applications.

In this paper, a novel approach leveraging artificial neural networks is introduced to approximate solutions for partial differential equations. The one-dimensi A neural network-based method for ...

In this paper, the concept of multirate partial differential equations (MPDEs) is applied to obtain an efficient solution for nonlinear low-frequency electrical circuits with pulsed excitation. The ...

In this paper, lump solutions of nonlinear partial differential equations, the generalized (2 + 1)-dimensional KP equation and the Jimbo–Miwa equation, are studied by using the Hirota bilinear method ...

This volume is a collection of research papers on nonlinear partial differential equations and related areas, representing many aspects of the most recent developments in these important areas. In ...

These equations are among the most fundamental nonlinear partial differential equations (PDEs for short) with many important applications in science and engineering. Considerable effort has been ...

Multipole Graph Neural Operator for Parametric Partial Differential Equations. NeurIPS20. Inspired by the fast multipole method (FMM), we propose a novel hierarchical, and multi-scale graph structure ...

MA416 - Partial Differential Equations Introduction to analytical and numerical methods for finding solutions to differential equations involving two or more independent variables. Topics include ...

MAT3360 – Introduction to Partial Differential Equations Overlapping courses. 10 credits overlap with MAT9305 – Partielle differensialligninger og Sobolev-rom I. 10 credits overlap with MAT-INF3300 – ...

Multi-language suite for high-performance solvers of differential equations and scientific machine learning (SciML) components. Ordinary differential equations (ODEs), stochastic differential ...

It will also be counted as one of your three attempts to sit the exam for this course, if you sit the exam for one of the following courses: IN5270 – Numerical methods for partial differential ...