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Editorial

Preface to “Mathematical Methods, Modelling and Applications”

Instituto de Matemática Multidisciplinar, Universitat Politècnica de València, 46022 Valencia, Spain
*
Author to whom correspondence should be addressed.
Mathematics 2022, 10(9), 1607; https://doi.org/10.3390/math10091607
Submission received: 3 May 2022 / Revised: 5 May 2022 / Accepted: 6 May 2022 / Published: 9 May 2022
(This article belongs to the Special Issue Mathematical Methods, Modelling and Applications)
The reality is more complex than it seems. The segmentation of science does not help capture the reality; each scientific point of view seems to be a partial mirror of the problem under consideration. A model is an approximation to represent an actual phenomenon in a simplified way, disregarding some factors but considering enough of them to achieve an acceptable answer. A mathematical model is an idealization of the phenomenon one wishes to represent in mathematical terms, typically an equation. The modelling process is divided in several parts:
i.
Observations obtaining data and Pattern Recognition.
ii.
Hypothesis, identification of variables. Building the Mathematical Model.
iii.
Resolution of the Model and applications.
The present book contains the 21 articles accepted for publication in the Special Issue “Mathematical Methods, Modelling and Applications” of the MDPI “Mathematics” journal. The contents of the book are organized in the following way. Papers [1,2,3] are concerned with step (i) of the modelling process. Papers [4,5,6] are linked to step (ii). All the remaining papers [7,8,9,10,11,12,13,14,15,16,17,18,19,20,21] are related to step (iii) covering a wide spectrum of methods, deterministic and random, algebraic and differentials, in different fields Hydrodynamic, Physics, Health Sciences.
We would like to thank the MDPI publishing editorial team, the scientific peer reviewers and all the authors who contributed to this book. We are confident that the contents will be of value to researchers, academics and professionals involved in the resolution of real-world nature and social problems.

Funding

This research received no external funding.

Conflicts of Interest

The authors declare no conflict of interest.

References

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  2. Lin, C.-T.; Chiang, C.-Y. Developing and Applying a Selection Model for Corrugated Box Precision Printing Machine Suppliers. Mathematics 2021, 9, 68. [Google Scholar] [CrossRef]
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  4. Shirokanev, A.; Ilyasova, N.; Andriyanov, N.; Zamytskiy, E.; Zolotarev, A.; Kirsh, D. Modeling of Fundus Laser Exposure for Estimating Safe Laser Coagulation Parameters in the Treatment of Diabetic Retinopathy. Mathematics 2021, 9, 967. [Google Scholar] [CrossRef]
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  7. Ibáñez, J.; Alonso, J.; Sastre, J.; Defez, E.; Alonso-Jordá, P. Advances in the Approximation of the Matrix Hyperbolic Tangent. Mathematics 2021, 9, 1219. [Google Scholar] [CrossRef]
  8. Diz-Mellado, E.; Rubino, S.; Fernández-García, S.; Gómez-Mármol, M.; Rivera-Gómez, C.; Galán-Marín, C. Applied Machine Learning Algorithms for Courtyards Thermal Patterns Accurate Prediction. Mathematics 2021, 9, 1142. [Google Scholar] [CrossRef]
  9. Li, X.; Sun, J.-Y.; Lu, X.-C.; Yang, Z.-X.; He, X.-T. Steady Fluid–Structure Coupling Interface of Circular Membrane under Liquid Weight Loading: Closed-Form Solution for Differential-Integral Equations. Mathematics 2021, 9, 1105. [Google Scholar] [CrossRef]
  10. Berriochoa, E.; Cachafeiro, A.; Rábade, H.G.; García-Amor, J. Mechanical Models for Hermite Interpolation on the Unit Circle. Mathematics 2021, 9, 1043. [Google Scholar] [CrossRef]
  11. Lantarón, S.; Merchán, S. The Dirichlet-to-Neumann Map in a Disk with a One-Step Radial Potential: An Analytical and Numerical Study. Mathematics 2021, 9, 794. [Google Scholar] [CrossRef]
  12. Alhama, I.; García-Ros, G.; Icardi, M. Non-Stationary Contaminant Plumes in the Advective-Diffusive Regime. Mathematics 2021, 9, 725. [Google Scholar] [CrossRef]
  13. Saha, J.; Bück, A. Conservative Finite Volume Schemes for Multidimensional Fragmentation Problems. Mathematics 2021, 9, 635. [Google Scholar] [CrossRef]
  14. Tung, M. The Relativistic Harmonic Oscillator in a Uniform Gravitational Field. Mathematics 2021, 9, 294. [Google Scholar] [CrossRef]
  15. Casabán, M.; Company, R.; Jódar, L. Reliable Efficient Difference Methods for Random Heterogeneous Diffusion Reaction Models with a Finite Degree of Randomness. Mathematics 2021, 9, 206. [Google Scholar] [CrossRef]
  16. Cortés, J.-C.; López-Navarro, E.; Romero, J.-V.; Roselló, M.-D. Approximating the Density of Random Differential Equations with Weak Nonlinearities via Perturbation Techniques. Mathematics 2021, 9, 204. [Google Scholar] [CrossRef]
  17. Company, R.; Egorova, V.N.; Jódar, L. Quadrature Integration Techniques for Random Hyperbolic PDE Problems. Mathematics 2021, 9, 160. [Google Scholar] [CrossRef]
  18. Cordero, A.; Villalba, E.G.; Torregrosa, J.R.; Triguero-Navarro, P. Convergence and Stability of a Parametric Class of Iterative Schemes for Solving Nonlinear Systems. Mathematics 2021, 9, 86. [Google Scholar] [CrossRef]
  19. Fuentes, C.; Chávez, C.; Brambila, F. Relating Hydraulic Conductivity Curve to Soil-Water Retention Curve Using a Fractal Model. Mathematics 2020, 8, 2201. [Google Scholar] [CrossRef]
  20. Chen, H.; Liu, L.; Ma, J. Analysis of Generalized Multistep Collocation Solutions for Oscillatory Volterra Integral Equations. Mathematics 2020, 8, 2004. [Google Scholar] [CrossRef]
  21. Fuentes, C.; Chávez, C.; Quevedo, A.; Trejo-Alonso, J.; Fuentes, S. Modeling of Artificial Groundwater Recharge by Wells: A Model Stratified Porous Medium. Mathematics 2020, 8, 1764. [Google Scholar] [CrossRef]
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MDPI and ACS Style

Jódar, L.; Company, R. Preface to “Mathematical Methods, Modelling and Applications”. Mathematics 2022, 10, 1607. https://doi.org/10.3390/math10091607

AMA Style

Jódar L, Company R. Preface to “Mathematical Methods, Modelling and Applications”. Mathematics. 2022; 10(9):1607. https://doi.org/10.3390/math10091607

Chicago/Turabian Style

Jódar, Lucas, and Rafael Company. 2022. "Preface to “Mathematical Methods, Modelling and Applications”" Mathematics 10, no. 9: 1607. https://doi.org/10.3390/math10091607

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