Numerical Analysis and Algorithms for High-Performance Computing

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "Computational and Applied Mathematics".

Deadline for manuscript submissions: 31 March 2025 | Viewed by 74

Special Issue Editors


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Guest Editor
College of Computer Science, National University of Defense Technology, Changsha, China
Interests: numerical linear algebra; parallel computing; numerical analysis; machine learning

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Guest Editor
School of Mathematics and Computational Science, Xiangtan University, Xiangtan, China
Interests: parallel computing; multiple grid and region decomposition method

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Guest Editor
College of Computer, National University of Defense Technology, Changsha, China
Interests: parallel computing; finite element analysis; damage assessment; fast algorithm

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Guest Editor
College of Computer Science and Technology, National University of Defense Technology, Changsha, China
Interests: parallel computing; mathematical problems; electromagnetic numerical simulation

Special Issue Information

Dear Colleagues,

In recent years, high-performance computing has become increasingly essential in various domains, including scientific simulations, electromagnetic computation, structural mechanics, engineering, data analytics, and artificial intelligence. The development of efficient numerical methods and algorithms plays a crucial role in harnessing the full potential of modern computing architectures and achieving high computational performance.

Topics of interest for this Special Issue include, but are not limited to:

  1. Numerical methods for high-performance computing;
  2. Parallel and distributed algorithms;
  3. Optimization techniques for numerical computation;
  4. Sparse and structured linear algebra;
  5. Parallel algorithms for electromagnetic computation;
  6. Parallel algorithms for structural mechanics;
  7. Machine learning algorithms for high-performance computing;
  8. Multigrid and Domain Decomposition algorithms;
  9. Parallel-in-time (PinT) algorithms.

We invite researchers and practitioners to submit original research papers, review articles, and case studies that address the challenges and opportunities in numerical analysis and algorithms for high-performance computation. Submissions should present novel contributions, theoretical insights, experimental results, or practical applications relevant to the theme of the Special Issue.

Dr. Shengguo Li
Prof. Dr. Xiaoqiang Yue
Dr. Xuguang Chen
Dr. Tiaojie Xiao
Guest Editors

Manuscript Submission Information

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Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Mathematics is an international peer-reviewed open access semimonthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2600 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • high-performance computing (HPC)
  • numerical analysis
  • sparse matrix computations
  • direct and iterative methods
  • electromagnetic computation
  • algorithm optimization
  • structural mechanics
  • parallel-in-time
  • multigrid methods
  • domain decomposition
  • machine learning in HPC

Published Papers

This special issue is now open for submission.
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