Loading [Contrib]/a11y/accessibility-menu.js

Special Issue: Innovative numerical approaches for problems in science and engineering

Guest Editors

Prof. Xiaoming He
Department of Mathematics and Statistics, Missouri University of Science and Technology, USA
Email: hex@mst.edu


Prof. Shuhao Cao
School of Science and Engineering, University of Missouri-Kansas City, USA
Email: scao@umkc.edu


Prof. Qiao Zhuang
School of Science and Engineering, University of Missouri-Kansas City, USA
Email: qzhuang@umkc.edu

Manuscript Topics


The escalating complexity of real-world problems, as well as further breakthroughs in established computational theories, demand a spectrum of innovative approaches for numerical simulations and unveiling the underlying mathematical essence. This special issue aims to present recent developments at the intersection of classical numerical methods, scientific machine learning, and other numerical approaches. It serves as a platform for disseminating innovations in computational theories, numerical techniques, and applied studies that address problems in science and engineering through the lens of partial differential equations (PDEs) and data.


The main topics include, but are not limited to:
Numerical Methods for PDEs, ODEs and Integral Equations
Numerical Analysis
Scientific Machine Learning
Data-driven Approaches
Optimization and Control


Instructions for authors
https://www.aimspress.com/era/news/solo-detail/instructionsforauthors
Please submit your manuscript to online submission system
https://aimspress.jams.pub/

Paper Submission

All manuscripts will be peer-reviewed before their acceptance for publication. The deadline for manuscript submission is 30 June 2025

Published Papers(8)

Research article
Simplified weak Galerkin finite element methods for biharmonic equations on non-convex polytopal meshes
Chunmei Wang
2025, Volume 33, Issue 3: 1523-1540. doi: 10.3934/era.2025072
Abstract HTML PDF Viewed (171)
Research article
On fast reconstruction of periodic structures with partial scattering data
John Daugherty Nate Kaduk Elena Morgan Dinh-Liem Nguyen Peyton Snidanko Trung Truong
2024, Volume 32, Issue 11: 6481-6502. doi: 10.3934/era.2024303
Abstract HTML PDF Viewed (695)
Research article
Generalized third-kind Chebyshev tau approach for treating the time fractional cable problem
Waleed Mohamed Abd-Elhameed Omar Mazen Alqubori Abdulrahman Khalid Al-Harbi Mohammed H. Alharbi Ahmed Gamal Atta
2024, Volume 32, Issue 11: 6200-6224. doi: 10.3934/era.2024288
Abstract HTML PDF Cited (3) Viewed (522)
Research article
Numerical and analytical approach to the Chandrasekhar quadratic functional integral equation using Picard and Adomian decomposition methods
Eman A. A. Ziada Hind Hashem Asma Al-Jaser Osama Moaaz Monica Botros
2024, Volume 32, Issue 11: 5943-5965. doi: 10.3934/era.2024275
Abstract HTML PDF Cited (1) Viewed (604)
Research article
A pressure-robust divergence free finite element basis for the Stokes equations
Jay Chu Xiaozhe Hu Lin Mu
2024, Volume 32, Issue 10: 5633-5648. doi: 10.3934/era.2024261
Abstract HTML PDF Viewed (703)
Research article
A regularized eigenmatrix method for unstructured sparse recovery
Koung Hee Leem Jun Liu George Pelekanos
2024, Volume 32, Issue 7: 4365-4377. doi: 10.3934/era.2024196
Abstract HTML PDF Viewed (902)
Research article
Deep multi-input and multi-output operator networks method for optimal control of PDEs
Jinjun Yong Xianbing Luo Shuyu Sun
2024, Volume 32, Issue 7: 4291-4320. doi: 10.3934/era.2024193
Abstract HTML PDF Cited (1) Viewed (1301)
Research article
A pressure-robust stabilizer-free WG finite element method for the Stokes equations on simplicial grids
Yan Yang Xiu Ye Shangyou Zhang
2024, Volume 32, Issue 5: 3413-3432. doi: 10.3934/era.2024158
Abstract HTML PDF Viewed (933)