By Ismael Herrera
A robust, unified method of mathematical and computational modeling in technology and engineering
Mathematical and computational modeling makes it attainable to foretell the habit of a vast diversity of platforms throughout a vast diversity of disciplines. this article publications scholars and pros throughout the axiomatic procedure, a robust procedure that might allow them to simply grasp the primary forms of mathematical and computational versions utilized in engineering and technological know-how. Readers will observe that this axiomatic procedure not just allows them to systematically build powerful types, it additionally allows them to use those types to any macroscopic actual method.
Mathematical Modeling in technological know-how and Engineering makes a speciality of types within which the approaches to be modeled are expressed as platforms of partial differential equations. It starts with an introductory dialogue of the axiomatic formula of easy types, environment the root for extra subject matters resembling:
Mechanics of classical and non-classical non-stop structures
Solute delivery by means of a loose fluid
movement of a fluid in a porous medium
stronger oil restoration
through the textual content, diagrams are supplied to assist readers visualize and higher comprehend advanced mathematical options. a collection of routines on the finish of every bankruptcy allows readers to place their new modeling talents into perform. there's additionally a bibliography in each one bankruptcy to facilitate extra research of person themes.
Mathematical Modeling in technology and Engineering is perfect for either scholars and execs around the many disciplines of technology and engineering that rely on mathematical and computational modeling to foretell and comprehend complicated systems.Content:
Chapter 1 Axiomatic formula of the elemental types (pages 1–22):
Chapter 2 Mechanics of Classical non-stop structures (pages 23–44):
Chapter three Mechanics of Non?Classical non-stop platforms (pages 45–62):
Chapter four Solute shipping by way of a loose Fluid (pages 63–83):
Chapter five movement of a Fluid in a Porous Medium (pages 85–116):
Chapter 6 Solute delivery in a Porous Medium (pages 117–128):
Chapter 7 Multiphase structures (pages 129–148):
Chapter eight improved Oil restoration (pages 149–164):
Chapter nine Linear Elasticity (pages 165–187):
Chapter 10 Fluid Mechanics (pages 189–210):
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Additional resources for Mathematical Modeling in Science and Engineering: An Axiomatic Approach
C. S. Suhubi, Elastodynamics, Elsevier Science,Amsterdam, 1974. 12. , Krieger, Huntington, NY, 1980. 13. C. E. Craine, Continuum theories of mixtures: basic theory and historical development, Quart. J. Mech. Appl. , 29(2), 209-244, 1976. 14. S. Jardewsky and F. Press, Elastic Waves in Layered Media, McGrawHill, New York, 1957. 15. , Applied Hydrogeology, Prentice Hall, Upper Saddle River, NJ, 1994, 2001. 16. , Fluid Mechanics, Dover Classics of Science and Mathematics, Dover, New York, 1995. 17.
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North-Holland, Elsevier Amsterdam, 1997. 7. G. L. Lions, Handbook of Numerical Analysis, Vol. VI, Numerical Methods for Solids (Part 3), Numerical Methods for Fluids (Part 1), Elsevier Science, Amsterdam, 1998. 8. C. , Continuum theories of mixtures: basic theory and historical development, Quart. /. Mech. Appl. , 29(2), 209-244, 1976. 9. , Krieger, Huntington, NY, 1980. 10. , The linear theory of elasticity, Handbuch der Physik, Ed. S. Fliigge, Vol. VIa/2, Springer-Verlag, Berlin, 1972. 11. ), New York, 1964.
Mathematical Modeling in Science and Engineering: An Axiomatic Approach by Ismael Herrera