About this Research Topic
In the last few decades, the role of numerical analysis and scientific computing has been increasing rapidly, especially for the solution of real-world problems. Mathematical models of infectious disease transmission are increasingly attracting attention of researchers. The mathematical models usually apply nonlinear systems of ordinary, delay or partial differential equations, and now recently more developments on various mathematical theories on epidemiology have been achieved.
This Research Topic will present recent research results in numerical analysis and scientific computing. Papers on all mathematical background including construction, analysis and performance of novel and/or efficient methods with applications in Mathematical Biology, Medicine, Environment are welcome. The methods can be Finite Difference, Finite Element, Finite Volume, Spectral and Virtual element methods.
The goals of this article collection are:
1. construction of efficient numerical methods to solve linear and non-linear differential equations in mathematical biology, medicine and the environment.
2. construction of efficient numerical methods to solve linear and non-linear fractional and stochastic differential equations in mathematical biology, medicine and the environment.
3. analysis of these numerical methods with regard to stability and dispersion, dissipation properties
4. convergence analysis of these methods.
5. construction of improved models for problems in mathematical biology, medicine and the environment and their numerical solutions and validation.
6. study of existence and uniqueness of solution from the models.
This Research Topic aims to bring academics, engineers, researchers and scientists to share recent ideas, methods, techniques and solutions in mathematical biology, medicine and the environment. The list of potential topics is given below:
1. Numerical solution of system of ordinary differential equations
2. Numerical solution of partial differential equations (advection-diffusion, cross diffusion, dispersive, etc)
3. Numerical solution of fractional and stochastic Differential Equations
4. Numerical solution of integro-differential Equations
5. Numerical solution of delay differential Equations
6. Biological systems
7. Biomedical research
8. Environmental models
9. Pollutant transport models and oil spill modelling
10. Epidemic models
11. Infectious Disease Modelling
12. Dynamical systems
13. Stability analysis
14. Convergence analysis
15. Bifurcation
16. Numerical dispersion and dissipation
17. Optimized numerical methods
18. Pattern formation in various models
19. Mechanics of Fluids
20. Applied, Computational and Mathematical Physics
21. Biomed-Biotech Engineering
22. Computational Thermal Engineering
23. Combustion and Decomposition
24. Materials Sciences
25. Turbulence
26. Magnetohydrodynamics (MHD)
27. Astrophysical plasma
28. Gas Dynamics and theoretical combustion systems
This Research Topic will present recent research results in numerical analysis and scientific computing. Papers on all mathematical background including construction, analysis and performance of novel and/or efficient methods with applications in Mathematical Biology, Medicine, Environment are welcome. The methods can be Finite Difference, Finite Element, Finite Volume, Spectral and Virtual element methods.
The goals of this article collection are:
1. construction of efficient numerical methods to solve linear and non-linear differential equations in mathematical biology, medicine and the environment.
2. construction of efficient numerical methods to solve linear and non-linear fractional and stochastic differential equations in mathematical biology, medicine and the environment.
3. analysis of these numerical methods with regard to stability and dispersion, dissipation properties
4. convergence analysis of these methods.
5. construction of improved models for problems in mathematical biology, medicine and the environment and their numerical solutions and validation.
6. study of existence and uniqueness of solution from the models.
This Research Topic aims to bring academics, engineers, researchers and scientists to share recent ideas, methods, techniques and solutions in mathematical biology, medicine and the environment. The list of potential topics is given below:
1. Numerical solution of system of ordinary differential equations
2. Numerical solution of partial differential equations (advection-diffusion, cross diffusion, dispersive, etc)
3. Numerical solution of fractional and stochastic Differential Equations
4. Numerical solution of integro-differential Equations
5. Numerical solution of delay differential Equations
6. Biological systems
7. Biomedical research
8. Environmental models
9. Pollutant transport models and oil spill modelling
10. Epidemic models
11. Infectious Disease Modelling
12. Dynamical systems
13. Stability analysis
14. Convergence analysis
15. Bifurcation
16. Numerical dispersion and dissipation
17. Optimized numerical methods
18. Pattern formation in various models
19. Mechanics of Fluids
20. Applied, Computational and Mathematical Physics
21. Biomed-Biotech Engineering
22. Computational Thermal Engineering
23. Combustion and Decomposition
24. Materials Sciences
25. Turbulence
26. Magnetohydrodynamics (MHD)
27. Astrophysical plasma
28. Gas Dynamics and theoretical combustion systems
Keywords: differential equations, mathematical biology, numerical methods
Important Note: All contributions to this Research Topic must be within the scope of the section and journal to which they are submitted, as defined in their mission statements. Frontiers reserves the right to guide an out-of-scope manuscript to a more suitable section or journal at any stage of peer review.
