Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

This book offers a thorough guide starting from fundamental functional analysis leading to the coupling of Stokes and Darcy equations, including numerical analysis and scientific computing. Almost all intermediate results are given with complete, rigorous proofs, including theorems which can be rarely found in the literature such that this book serves well as a reference on the topic. Special care is taken to analyze the difficult cases of non-smooth interfaces which are not completely enclosed in one subdomain, i.e, intersect with the outer boundary. This can hardly be found in the literature. Additionally, known and new subdomain iterative methods are introduced, analyzed and applied to standard examples as well as one example motivated by a geoscientific setting.

Functional analysis. --- Numerical analysis. --- Functional Analysis. --- Numerical Analysis. --- Stokes equations. --- Stokes differential equations --- Stokes's differential equations --- Stokes's equations --- Differential equations, Partial --- Mathematical analysis --- Functional calculus --- Calculus of variations --- Functional equations --- Integral equations

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

The discovery of a virtual turning point truly is a breakthrough in WKB analysis of higher order differential equations. This monograph expounds the core part of its theory together with its application to the analysis of higher order Painlevé equations of the Noumi–Yamada type and to the analysis of non-adiabatic transition probability problems in three levels. As M.V. Fedoryuk once lamented, global asymptotic analysis of higher order differential equations had been thought to be impossible to construct. In 1982, however, H.L. Berk, W.M. Nevins, and K.V. Roberts published a remarkable paper in the Journal of Mathematical Physics indicating that the traditional Stokes geometry cannot globally describe the Stokes phenomena of solutions of higher order equations; a new Stokes curve is necessary.

Mathematics. --- Mathematical Physics. --- Ordinary Differential Equations. --- Quantum Physics. --- Differential Equations. --- Quantum theory. --- Mathématiques --- Théorie quantique --- Stokes equations. --- Stokes equations --- Engineering & Applied Sciences --- Civil & Environmental Engineering --- Operations Research --- Applied Physics --- Stokes differential equations --- Stokes's differential equations --- Stokes's equations --- Differential equations. --- Mathematical physics. --- Quantum physics. --- Quantum dynamics --- Quantum mechanics --- Quantum physics --- Physics --- Mechanics --- Thermodynamics --- Physical mathematics --- 517.91 Differential equations --- Differential equations --- Math --- Science --- Mathematics --- Differential equations, Partial