Recent advances on Ubiquitous Computing (Ubicomp) have posed great challenges to computer science and engineering. Ubicomp systems manage huge numbers of heterogeneous mobile devices which continuously mobile of the states of real-world objects, and most data are generated automatically through wireless communication environments. Ubicomp frameworks might help support the interaction between "humans and things" and allow for more complex structures like intelligent computing and the development of the applications. Many Ubicomp frameworks seem to focus on real time data logging solutions which are offering some basis to work with many "humans and things." Future developments might lead to specific software development environments to create the software and to work with the hardware used in the Ubicomp.

This special issue aims to provide an advanced theory and application for researchers and practitioners to contribute with original research and review articles that present the state-of-the-art research outcomes, practical results, latest findings, and future evolutions of mathematics in Ubicomp applications.

Potential topics include, but are not limited to:

• Mathematical and numerical modeling for Ubicomp
• Optimization methods, mathematics modeling, and services for Ubicomp
• Numerical analysis for security and emergencies for Ubicomp
• Methods for improving efficiency or accuracy of M2M applications
• Vehicle autodiagnosis for Ubicomp
• Computational models of communication mechanisms for Ubicomp
• Adaptive and dynamic algorithms for Ubicomp
• Applied cryptography and security issues for Ubicomp
• Advanced modeling and services for IoT applications
• Ubiquitous sensor networks and RFID for Ubicomp