Manuscript Topics

In the last decade, modeling based on ordinary or partial differential equations (ODEs or PDEs) have merged as an active research area with many applications in different scientific fields, ranging from applied mathematics, medicine, ecology, engineering, economics and social sciences, demonstrating the multidisciplinary nature of mathematical modeling. A key aspect is that these models can be instrumental for a more accurate description and prediction in several industrial applications. However, there are many technical aspects to address in order to obtain models with predictable value.  Namely, a balance in complexity and precision is an important theoretical aspect. On the other hand, a wide variety of issues are usually addressed in order to obtain robust and accurate numerical schemes. Thus, this special issue aims to bring together modeling approaches that consider ordinary or partial differential equations, serving as a reference to existing problems. Topics of interest include (but not limited to) the following:

• Design of robust computational methods and simulations.
• Development of parameter fitting methods and inverse problem strategies in ordinary and partial differential equations.
• Computational fluid dynamics applications to advance models in biology and Engineering.
• Applications of ODEs, and PDEs to Biological physics and networks

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