Recent Advances in Numerical Integration of Differential Equations
A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "C1: Difference and Differential Equations".
Deadline for manuscript submissions: 31 December 2025 | Viewed by 46
Special Issue Editor
Special Issue Information
Dear Colleagues,
The construction and implementation of numerical methods are important for solving problems, especially in dynamical systems. For solving dynamical systems, the longer time simulation ability of numerical methods is significant in the success of a simulation. Therefore, the quantitative properties of numerical methods become critical. Recently, more attention has been given to the numerical methods that can preserve the important properties associated with the solution of dynamical systems. This Special Issue seeks papers on recent developments in the construction, analysis and application of numerical methods in ODEs and PDEs.
To bridge gaps in construction of numerical algorithms and applications in physical problems, for this Special Issue, potential topics include, but are not limited to, the following:
- Results on the construction of numerical methods for solving systems with conservative properties;
- Results on the numerical analysis of new numerical methods in ODEs and PDEs;
- Results on numerical methods applied to phase-field equations, physical plasmas, etc.;
- Results on the numerical analysis of methods for integrable systems based on perturbation theory, such as recent advances in numerical KAM theory;
- Results on numerical methods and analyses for highly oscillatory problems.
Prof. Dr. Yajuan Sun
Guest Editor
Manuscript Submission Information
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Keywords
- conservative properties
- long-time stability
- numerical analysis
- phase-field equations
- physical plasmas
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