Numerical Methods and Modeling for Multiscale Problems and Applications
A special issue of Axioms (ISSN 2075-1680). This special issue belongs to the section "Mathematical Analysis".
Deadline for manuscript submissions: 30 June 2025 | Viewed by 118
Special Issue Editors
Interests: multiscale numerical methods; high-order schemes; implicit and semi-implicit schemes; order-adaptive procedures
Interests: numerical methods for conservation laws; numerical methods for stiff problems; numerical methods for hyperbolic systems with a relaxation term; numerical methods for kinetic problems
Special Issue Information
Dear Colleagues,
The accurate and efficient modeling of multiscale systems remains one of the most compelling challenges in applied mathematics and computational science. From fluid dynamics and solid mechanics to environmental modeling and biological systems, multiscale phenomena are pervasive, characterized by interactions across spatial and temporal scales that defy traditional modeling and computational approaches.
This Special Issue aims to bring together innovative contributions on numerical methods and computational models that address the complexities inherent in multiscale problems. We welcome research that bridges the gap between theoretical developments and practical applications, fostering a dialogue between applied mathematicians, computational scientists, and engineers. Topics of interest include, but are not limited to, the following:
- High-order numerical schemes for hyperbolic and dispersive partial differential equations (PDEs).
- Novel methods for coupled systems and hybrid multiscale models.
- Computational strategies for systems exhibiting strong scale separation.
- Applications of multiscale modeling in fluid dynamics, continuum mechanics, and environmental systems.
- Advances in numerical solvers for non-linear PDEs in multiscale frameworks.
The scope of this Special Issue is deliberately broad to encompass a wide range of approaches and applications, with a particular focus on innovative methodologies that push the boundaries of current computational capabilities. Contributions highlighting real-world applications, especially in the natural sciences and engineering, are strongly encouraged.
We invite original research papers, comprehensive reviews, and methodological studies that explore the forefront of multiscale modeling and numerical analysis.
Dr. Emanuele Macca
Dr. Sebastiano Boscarino
Guest Editors
Manuscript Submission Information
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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 2400 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
- multiscale numerical methods
- high-order schemes
- coupled multiscale systems
- implicit and semi-implicit approaches
- computational applications in multiscale phenomena
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