Read BookA Practical Guide to Splines (Applied Mathematical Sciences)

[Ebook.5wL0] A Practical Guide to Splines (Applied Mathematical Sciences)

[Ebook.5wL0] A Practical Guide to Splines (Applied Mathematical Sciences)

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Book Details :
Published on: 1994-08-26
Released on:
Original language: English

This book is based on the author's experience with calculations involving polynomial splines. It presents those parts of the theory which are especially useful in calculations and stresses the representation of splines as linear combinations of B-splines. After two chapters summarizing polynomial approximation, a rigorous discussion of elementary spline theory is given involving linear, cubic and parabolic splines. The computational handling of piecewise polynomial functions (of one variable) of arbitrary order is the subject of chapters VII and VIII, while chapters IX, X, and XI are devoted to B-splines. The distances from splines with fixed and with variable knots is discussed in chapter XII. The remaining five chapters concern specific approximation methods, interpolation, smoothing and least-squares approximation, the solution of an ordinary differential equation by collocation, curve fitting, and surface fitting. The present text version differs from the original in several respects. The book is now typeset (in plain TeX), the Fortran programs now make use of Fortran 77 features. The figures have been redrawn with the aid of Matlab, various errors have been corrected, and many more formal statements have been provided with proofs. Further, all formal statements and equations have been numbered by the same numbering system, to make it easier to find any particular item. A major change has occured in Chapters IX-XI where the B-spline theory is now developed directly from the recurrence relations without recourse to divided differences. This has brought in knot insertion as a powerful tool for providing simple proofs concerning the shape-preserving properties of the B-spline series. Spline -- from Wolfram MathWorld Spline. A piecewise polynomial function that can have a locally very simple form yet at the same time be globally flexible and smooth. Splines are very useful for ... Experiment - Wikipedia Overview. In the scientific method an experiment is an empirical procedure that arbitrates between competing models or hypotheses. Researchers also use ... Mathematics Middle Tennessee State University MATH 1020 - Mathematics Colloquium 1 credit hour credit. Introduces new mathematical sciences students to the mathematics major. Topics include degree requirements ... COLLEGE OF ARTS & SCIENCES STATISTICS - UW Homepage COLLEGE OF ARTS & SCIENCES STATISTICS Detailed course offerings (Time Schedule) are available for. Winter Quarter 2017; Spring Quarter 2017; Summer Quarter 2017 Institute for Computational and Mathematical Engineering ... Courses offered by the Institute for Computational and Mathematical Engineering are listed under the subject code CME on the Stanford Bulletin's ExploreCourses web site. Mathematics BSc(Hons) degree course for 2017 entry ... Read more about Kingston University London's Mathematics BSc(Hons) degree. This is a flexible programme allowing you to specialise in computing mathematics or ... Applied Mathematical Sciences - Springer The mathematization of all sciences the fading of traditional scientific boundaries the impact of computer technology the growing importance of computer modeling ... Non-uniform rational B-spline - Wikipedia Non-uniform rational Basis spline (NURBS) is a mathematical model commonly used in computer graphics for generating and representing curves and surfaces. Computing + Mathematical Sciences Course Descriptions Course Descriptions. Courses offered in our department for Applied and Computational Mathematics Control and Dynamical Systems and Computer Science are listed below. ScienceDirect.com Science health and medical journals ... ScienceDirect is the world's leading source for scientific technical and medical research. Explore journals books and articles.
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