Bibliography: p. 470-472.
|Statement||[by] A. R. Manwell.|
|Series||University mathematical monographs -- 8|
|The Physical Object|
|Pagination||ix, 476 p.|
|Number of Pages||476|
|LC Control Number||00000000|
Jan 25, · "Pythagorean hodograph (PH) curves form a remarkable subclass of polynomial curves. This is the first book which gives a comprehensive introduction to this active field of research . The organization of the book is excellent. style and the flavour 5/5(2). Pythagorean-Hodograph Curves: Algebra and Geometry Inseparable (Geometry and Computing Book 1) - Kindle edition by Rida T Farouki. Download it once and read it on your Kindle device, PC, phones or tablets. Use features like bookmarks, note taking and highlighting while reading Pythagorean-Hodograph Curves: Algebra and Geometry Inseparable (Geometry and Computing Book 1).5/5(2). In contrast, the hodograph characteristics depend only on the velocity components, and not on the physical coordinates. Thus, the hodograph characteristic equations can be integrated universally without reference to a specific flow problem on the physical plane. This is a significant simplification that proves to be of great value in practice. Thus the linearization of differential equations in the hodograph plane is obtained at the expense of the simplicity in boundary value problem. To guarantee that ψ and χ do actually belong to the same flow in the physical plane, an additional condition besides the differential equations for ψ .
(source: Nielsen Book Data) Summary By virtue of their special algebraic structures, Pythagorean-hodograph (PH) curves offer unique advantages for computer-aided design and manufacturing, robotics, motion control, path planning, computer graphics, animation, and related fields. Hodograph transformation. Hodograph transformation is a technique used to transform nonlinear partial differential equations into linear version. It consists of interchanging the dependent and independent variables in the equation to achieve linearity.  Further reading. In . Jul 28, · This crucially involves the use of hodograph transformations (i.e., transformations involving the interchange of dependent and independent variables). Furthermore, the most general quasilinear equation of the above form is found that can be mapped via a Cited by: Various forms of hodograph equations for relativistic irrotational steady plane flows are worked out. The transformation from the hodograph to the physical plane is studied. Elementary solutions of these equations are found. An approximate hodograph equation for relativistic transonic flows is happyplacekidsgym.com: Bartolomeo Todeschini.
The partial hodograph transformation dates from the s, but its application to elliptic–hyperbolic equations is relatively recent; our treatment follows the work of S.-X. Chen. In addition, various methods are given for constructing explicit solutions to both linear and quasilinear elliptic–hyperbolic happyplacekidsgym.com: Thomas H. Otway. By virtue of their special algebraic structures, Pythagorean-hodograph (PH) curves offer unique advantages for computer-aided design and manufacturing, robotics, motion control, path planning, computer graphics, animation, and related fields. This book offers a comprehensive and self-contained treatment of the mathematical theory of PH curves, including algorithms for their construction and. Mar 15, · It is shown that the hodograph solutions of the dispersionless coupled KdV (dcKdV) hierarchies describe critical and degenerate critical points of . The book includes explicit design equations and design procedures along with design examples for varied cases. With its comprehensive coverage of the principles of hydraulic canal design, this book will prove useful to students, researchers and practicing engineers.