Manuscript Topics

Numerical analysis of differential equations plays a crucial role in addressing many challenging problems in Science and Engineering. It is concerned with the development and study of algorithms to solve problems using numerical approximations. The main focuses of numerical analysis include existence, uniqueness, boundedness, approximation, simulation, and error estimation, which are applied in virtually every scientific domains. The recent proliferation of computing technology further impels the rapid development of numerical analysis. However, differential equations have been demonstrated to play a significant role in describing the dynamics of a wide range of phenomena, including diffusion, electrodynamics, control theory, structural engineering, biophysics, etc. It can be classified into a variety of distinct classes including ordinary, partial, linear, non-linear, delay and advanced, integer-order, fractional-order, functional, and integro-differential, among others.  The analytical solutions of these problems are very challenging or impossible to obtain due to different conditions and possibilities in the differential equations.

From this point of view, this special issue will concentrate on developing robust numerical techniques for solving differential equations in a broader sense and emphasizing real-time applications.

Key Topics:
● Numerical analysis for differential equations
● Robust numerical algorithms
● Mesh based and meshless methods
● A priori and a posterior error analysis
● Scientific computing for dynamical systems
● Bifurcation analysis and dynamical systems
● Control theory and optimization problems
● Nonlinear dynamics
● Water wave problems
● Fluid dynamics

Instruction for Authors
http://www.aimspress.com/math/news/solo-detail/instructionsforauthors
Please submit your manuscript to online submission system
https://aimspress.jams.pub/