Computational Multiscale Methods on Nanotechnology
A special issue of Mathematics (ISSN 2227-7390).
Deadline for manuscript submissions: closed (31 May 2021) | Viewed by 390
Special Issue Editors
Interests: uncertainty quantification; stochastic partial differential equations; multiscale problems; stochastic homogenization; the Boltzmann transport equation; stochastic aspects of nanoscale sensors; nanopore sensors; and nanoscale transistors
Interests: stochastic partial differential equations; uncertainty quantification; inverse problems; Bayesian inversion; analysis and simulation of stochastic PDEs in nanosensors and semiconductor devices
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Special Issue Information
Dear Colleagues,
Nanoscale devices such as nanosensors, nanopores, and nanoscale transistors have a wide range of applications in biomedicine, biotechnology, the food and drug industries, etc. Therefore, modeling, analysis, and numerics of nanoscale devices are of great importance. Modeling with stochastic PDEs due to random environments, homogenization methods due to the multiscale problems inherent in these devices, quantifying noise and fluctuation, and optimal numerical methods for the solution of the stochastic models are all active research areas in nanotechnology.
Nanoscale devices such as nanosensors, nanopores, and nanoscale transistors have a wide range of applications in biomedicine, biotechnology, the food and drug industries, etc. Therefore, modeling, analysis, and numerics of nanoscale devices are of great importance. Modeling with stochastic PDEs due to random environments, homogenization methods due to the multiscale problems inherent in these devices, quantifying noise and fluctuation, and optimal numerical methods for the solution of the stochastic models are all active research areas in nanotechnology.
The present Special Issue aims to collect and present new ideas and achievements in the field of nanotechnology. The range of appropriate contributions is very wide, including, but not limited to, mathematical models, variational formulations, numerical algorithms, homogenization methods, stochastic PDEs, inverse modeling, theoretical development and analysis of physical systems, computational methods for the simulation, Internet of Things and deep learning in sensors.
We are inviting contributions of original research papers in the fields of computational science and nanotechnology in this Special Issue, which provides an opportunity for researchers to communicate their ideas and new findings in the field.
The present Special Issue aims to collect and present new ideas and achievements in the field of nanotechnology. The range of appropriate contributions is very wide, including, but not limited to, mathematical models, variational formulations, numerical algorithms, homogenization methods, stochastic PDEs, inverse modeling, theoretical development and analysis of physical systems, computational methods for the simulation, Internet of Things and deep learning in sensors.
We are inviting contributions of original research papers in the fields of computational science and nanotechnology in this Special Issue, which provides an opportunity for researchers to communicate their ideas and new findings in the field.
Prof. Dr. Clemens HeitzingerDr. Leila Taghizadeh
Guest Editors
Manuscript Submission Information
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Keywords
- Semiconductor devices
- Nanosensors and nanopores
- Multiscale problems
- Stochastics PDEs
- Boltzmann equation
- Drift-diffusion equations
- Finite element methods
- Uncertainty quantification
- Inverse modeling
- Machine learning
