This textbook offers a concise but self-contained introduction to the art of numerical modelling in sciences. It discusses all the steps, from the mathematical foundations of the model to the solution procedures that are commonly used by advanced practitioners.
This textbook offers a concise but self-contained introduction to the art of numerical modelling in sciences. It discusses all the steps, from the mathematical foundations of the model to the solution procedures that are commonly used by advanced practitioners.
Chistian Huber grew up in Geneva, Switzerland, where he studied earth sciences and physics. He then moved to the University of California Berkeley where he gained his PhD in earth and planetary sciences, before joining the faculty at the Georgia Institute of Technology and then moving to Brown University in 2016. His main interests are in magmatic processes and planetary geodynamics.
Inhaltsangabe
Part I - Mathematical concepts 1: Introduction to real valued calculus 2: Introduction to multivariate calculus 3: Elements of complex calculus 4: Elements of linear algebra 5: Treating functions as vectors 6: Ordinary Differential Equations (ODEs) 7: Partial Differential Equations (PDEs) Part II - Numerical Modeling, Ordinary Differential Equations (ODEs) 8: First order ODE (time integration): The nuclear decay equation as a starting point 9: What controls convergence? What relates convergence and stability? 10: Box Models: from single to multiple coupled ODEs 11: Higher order ODEs 12: Higher order discretization methods Part III - Numerical Modeling, Partial Differential Equations (PDEs) 13: Important mathematical notions when working with PDEs 14: Von Neumann stability analysis: concepts 15: 1-D advection equation 16: Diffusion equation 17: 1-D advection-diffusion equation 18: 1-D wave equation 19: The shallow water equation Part IV - Overview of other numerical methods 20: Top-down approaches 21: Bottom-up approaches
Part I - Mathematical concepts 1: Introduction to real valued calculus 2: Introduction to multivariate calculus 3: Elements of complex calculus 4: Elements of linear algebra 5: Treating functions as vectors 6: Ordinary Differential Equations (ODEs) 7: Partial Differential Equations (PDEs) Part II - Numerical Modeling, Ordinary Differential Equations (ODEs) 8: First order ODE (time integration): The nuclear decay equation as a starting point 9: What controls convergence? What relates convergence and stability? 10: Box Models: from single to multiple coupled ODEs 11: Higher order ODEs 12: Higher order discretization methods Part III - Numerical Modeling, Partial Differential Equations (PDEs) 13: Important mathematical notions when working with PDEs 14: Von Neumann stability analysis: concepts 15: 1-D advection equation 16: Diffusion equation 17: 1-D advection-diffusion equation 18: 1-D wave equation 19: The shallow water equation Part IV - Overview of other numerical methods 20: Top-down approaches 21: Bottom-up approaches
Es gelten unsere Allgemeinen Geschäftsbedingungen: www.buecher.de/agb
Impressum
www.buecher.de ist ein Internetauftritt der buecher.de internetstores GmbH
Geschäftsführung: Monica Sawhney | Roland Kölbl | Günter Hilger
Sitz der Gesellschaft: Batheyer Straße 115 - 117, 58099 Hagen
Postanschrift: Bürgermeister-Wegele-Str. 12, 86167 Augsburg
Amtsgericht Hagen HRB 13257
Steuernummer: 321/5800/1497
USt-IdNr: DE450055826
