Symmetric Methods and Analysis for Differential and Integral Equations

Dear Colleagues,

Differential and integral equations are widely used to model many natural phenomena in different scientific fields. The evolution of the solutions can be well learned by certain high-performance numerical methods. Well-designed and high-performance numerical methods can considerably reduce the computational costs of long-term simulations of real-world problems. They can also perform better in the prediction of mathematical models. Therefore, it is very important to develop effective numerical schemes as well as their rigorous numerical analysis.

In light of the aforementioned regarding the significance of numerical schemes and analysis, the potential topics for this issue include but are not limited to the following:

• The construction of effective numerical methods for solving differential and integral equations;
• The convergence analysis of symmetric numerical schemes;
• The stability analysis of symmetric numerical schemes;
• The dissipativity of symmetric numerical methods;
• Iterative algorithms and their application.

Symmetric and structure-preserving numerical methods for differential and integral equations.

Prof. Dr. Dongfang Li
Dr. Hongyu Qin
Dr. Xiaoli Chen
Guest Editors

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