Advanced Methods in Computational Mathematical Physics
Deadline for manuscript submissions: closed (28 February 2022) | Viewed by 15021
Interests: complex systems; mathematical biology; time series analysis
Interests: wavelets; fractals; fractional and stochastic equations; numerical and computational methods; mathematical physics; nonlinear systems; artificial intelligence
Special Issues, Collections and Topics in MDPI journals
This Special Issue aims to focus on advanced computational methods for the solution of mathematical physics problems and those problems arising in all areas of science, engineering application, finance and natural science whose solution is inspired by mathematical physics methods.
Computational and mathematical modeling of biological, engineering, and physical systems are becoming more and more attractive and suitable for the solution of daily complex nonlinear problems.
These problems can be easily solved using methods of modern advanced calculus and original, recently discovered theories and algorithms.
Many mathematical physical problems follow patterns described by systems of ordinary or partial differential equations, either integer or fractional order derivatives, or described by some special functions. Some of those patterns are self-similar (fractal); at the same time, they follow the power law and have a fading memory. There are many physical problems in nature and engineering applications following such patterns, such as fluidodynamics, mechanics, elasticity, fracture mechanics, rheology, avionics, biology, relativity, geohydrology, and finance.
In the analysis of these problems, advanced calculus and computational–numerical methods are combined with the analysis of the physical nature of these problems.
Many complex phenomena have been formulated in nonlinear evolution equations and systems with an integer or fractional order. Consequently, many researchers have begun focusing on deriving novel computational schemes to evaluate the exact traveling and solitary wave or solutions, while in more complex problems, advanced numerical schemes are employed.
Prof. Dr. Brenno Caetano Troca Cabella
Prof. Dr. Carlo Cattani
Manuscript Submission Information
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- Numerical methods
- Computational methods
- Mathematical physics
- Nonlinear problems
- Dynamical systems
- Fractional problems
- Travelling waves
- Stochastic equations
- Special functions