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As an everyday reference, Approximation Techniques for Engineers presents a collection of methods that provide an approximate result for engineering computations. Divided into two parts, this book begins with the classical iteration methods, followed by spline interpolations and least-square approximations. It also discusses various approximations of functions as well as their numerical differentiation and integration. The second part covers topics ranging from the solutions of algebraic equations and linear and nonlinear systems to eigenvalue problems and initial- and boundary-value problems. Both parts emphasize the logical thread and common principles of the approximation techniques.

Approximation theory. --- Engineering --- Approximation methods.

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In der Arbeit werden Verfahren und Methoden kombiniert, um eine Analyse der dreidimensionalen Plattenkinematik Rumäniens auf Basis der geschätzten Geschwindigkeiten der Stationen eines GPS-Überwachungsnetzes durchzuführen.Aus den Daten der GPS-Stationen wird mit der Multilevel B-Spline Approximation eine analytische Beschreibung der Bewegung des Untersuchungsgebietes erhalten und anschließend daraus dessen Verformungen, wie Dehnungen und Scherungen, abgeleitet.

Multivariate Approximation --- B-Spline --- Kontinuumsmechanik --- Vrancea --- Plattentektonik

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Spline functions are universally recognized as highly effective tools in approximation theory, computer-aided geometric design, image analysis, and numerical analysis. The theory of univariate splines is well known but this text is the first comprehensive treatment of the analogous bivariate theory. A detailed mathematical treatment of polynomial splines on triangulations is outlined, providing a basis for developing practical methods for using splines in numerous application areas. The detailed treatment of the Bernstein-Bézier representation of polynomials will provide a valuable source for researchers and students in CAGD. Chapters on smooth macro-element spaces will allow engineers and scientists using the FEM method to solve partial differential equations numerically with new tools. Workers in the geosciences will find new tools for approximation and data fitting on the sphere. Ideal as a graduate text in approximation theory, and as a source book for courses in computer-aided geometric design or in finite-element methods.

Spline theory --- Spline theory. --- Spline functions --- Approximation theory --- Interpolation

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Fluid dynamics --- Numerical analysis --- Spectral theory (Mathematics) --- Approximation methods

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"This proceedings volume is devoted to the interplay of symmetry and perturbation theory, as well as to cognate fields such as integrable systems, normal forms, n-body dynamics and choreographies, geometry and symmetry of differential equations, and finite and infinite dimensional dynamical systems. The papers collected here provide an up-to-date overview of the research in the field, and have many leading scientists in the field among their authors, including: D Alekseevsky, S Benenti, H Broer, A Degasperis, M E Fels, T Gramchev, H Hanssmann, J Krashil'shchik, B Kruglikov, D Krupka, O Krupkova, S Lombardo, P Morando, O Morozov, N N Nekhoroshev, F Oliveri, P J Olver, J A Sanders, M A Teixeira, S Terracini, F Verhulst, P Winternitz, B Zhilinskii."

Symmetry (Physics) --- Perturbation (Mathematics) --- Perturbation equations --- Perturbation theory --- Approximation theory --- Dynamics --- Functional analysis --- Mathematical physics