Advanced Numerical and Computational Methods for Engineering and Applied Mathematical Problems, 2nd Edition

Dear Colleagues,

The development of meshfree/particle methods and advanced numerical methods has created new avenues for further research and spearheaded pioneering efforts in the fields of engineering and scientific computation. The ability of these methods to provide high-fidelity solutions for sophisticated engineering problems has also been recognized by many researchers and engineers as a driving force to push forward the boundary of modern industry.

This Special Issue, as a follow-up to the successful first edition “Advanced Numerical and Computational Methods for Engineering and Applied Mathematical Problems” aims to publish state-of-the-art fundamental development for these advanced numerical methods, prospective research directions, and applications for engineering and applied mathematical problems.

Contributions are solicited in all subjects related to meshfree and other advanced numerical methods and their numerical applications, which include, but are not limited to, the following topics:

1. Meshfree methods;
2. Particle methods;
3. Machine learning methods;
4. Smoothed particle hydrodynamics;
5. Peridynamics;
6. Material point method;
7. Strong-form collocation meshfree methods;
8. Stabilized collocation methods;
9. Generalized finite difference methods;
10. Method of fundamental solutions (MFS);
11. Boundary element methods;
12. Integration-based meshfree methods;
13. Localized radial basis functions methods;
14. Characterization and stabilization of numerical instabilities;
15. Other advanced numerical methods;
16. Applications of meshfree methods, machine learning methods and other numerical methods for advanced materials and structures, soft materials, inverse problems, fluid dynamics and fluid-structure interaction, geomechanics, large deformation and non-linear problems, multi-phase interactions, contact and impact, static and dynamic structural responses, manufacturing processes, nano-mechanics, etc.

Prof. Dr. Lihua Wang
Prof. Dr. Benny Y. C. Hon
Dr. Sheng-Wei Chi
Guest Editors

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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.

• numerical methods
• computational methods
• machine learning
• differential equations
• inverse problems
• engineering problems
• computational mechanics
• mathematical problems
• numerical simulations
• meshfree methods
• finite element methods
• radial basis functions methods
• multiscale material modeling
• machine learning methods
• structural dynamics
• material modelling
• computational mechanics
• fluid-structure interaction

• Advanced Numerical and Computational Methods for Engineering and Applied Mathematical Problems in Mathematics (11 articles)