Topic Editors

Colleague of Mathematics and Systems Science, Xinjiang University, Urumqi 830017, China
School of Mathematics and Statistics, Xi'an Jiaotong University, Xi'an 710049, China

Numerical Methods for Partial Differential Equations

Abstract submission deadline
30 April 2025
Manuscript submission deadline
30 June 2025
Viewed by
27782

Topic Information

Dear Colleagues,

Partial differential equations (PDE) are important mathematical models whose solutions are always hard to obtain. Therefore, solving partial differential equations numerically is of great significance and has application value in the field of scientific research and engineering applications. Many studies have been devoted to this problem, and the finite element methods, finite volume methods, and finite difference methods have been the most successful. However, the development of novel and efficient numerical method meets many challenges. Toward this end, our Topic seeks to contribute to the numerical approximation of PDEs in various science and engineering fields that focus on theoretical results describing robustness, stability, and convergence of the new methods. The Topic seeks to be interdisciplinary while emphasizing numerical analysis and approximation theory in the following areas of research:

  • Discretization schemes for linear and nonlinear PDEs;
  • Techniques for high-dimensional spatial PDEs;
  • Learning algorithms for data-driven solutions to PDEs;
  • New approaches for modeling complex phenomena with PDEs.

Prof. Dr. Pengzhan Huang
Prof. Dr. Yinnian He
Topic Editors

Keywords

  • numerical analysis
  • numerical method
  • finite-difference
  • finite-element
  • computation
  • partial-differential equations

Participating Journals

Journal Name Impact Factor CiteScore Launched Year First Decision (median) APC
Axioms
axioms
1.9 - 2012 21 Days CHF 2400 Submit
Computation
computation
1.9 3.5 2013 19.7 Days CHF 1800 Submit
Entropy
entropy
2.1 4.9 1999 22.4 Days CHF 2600 Submit
Mathematical and Computational Applications
mca
1.9 - 1996 28.8 Days CHF 1400 Submit
Mathematics
mathematics
2.3 4.0 2013 17.1 Days CHF 2600 Submit
Symmetry
symmetry
2.2 5.4 2009 16.8 Days CHF 2400 Submit

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Published Papers (21 papers)

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