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MATLAB is a high-level language and interactive environment for numerical computation, visualization, and programming. Using MATLAB, you can analyze data, develop algorithms, and create models and applications. The language, tools, and built-in math functions enable you to explore multiple approaches and reach a solution faster than with spreadsheets or traditional programming languages.

Numerical analysis

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Numerical analysis --- Mathematical physics

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Das Buch ist an der Schnittstelle zwischen linearer Algebra und rechnerischer Geometrie angesiedelt. Einerseits werden die klassischen Geometrien (euklidisch, affin, projektiv, nicht-euklidisch) mit Mitteln der linearen Algebra behandelt. Andererseits werden grundlegende Strukturen der rechnerischen Geometrie (Splinekurven, Mittelachsen, Triangulierungen) und algorithmische Methoden diskutiert. Der Schwerpunkt liegt dabei auf den geometrischen Eigenschaften, gleichzeitig werden auch relevante algorithmische Konzepte vorgestellt. Zahlreiche Übungsaufgaben (mit Lösungshinweisen) ergänzen die Darstellung. Das Buch eignet sich für Studierende aus den Fachrichtungen Mathematik, Informatik, Maschinenbau, Bauingenieurwesen und verwandter Studiengänge ab dem zweiten Semester. Es kann als Lehrbuch verwendet werden oder als ergänzende Literatur für Grundvorlesungen über angewandte Geometrie, analytische Geometrie, rechnerische Geometrie (Computational Geometry) sowie Computer Aided Geometric Design.     .

Geometry. --- Numerical analysis. --- Computer graphics. --- Geometry. --- Numerical Analysis. --- Computer Graphics.

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"Designed for a one-semester course on the subject, this classroom-tested text presents fundamental concepts of numerical mathematics and explains how to implement and program numerical methods. Drawing on their years of teaching students in mathematics, engineering, and the sciences, the authors cover floating-point number representations, nonlinear equations, linear algebra concepts, the Lagrange interpolation theorem, numerical differentiation and integration, and ODEs. They also focus on the implementation of the algorithms using MATLAB®"-- "This work is the result of several years of teaching a one-semester course on Numerical Analysis and Scienti c Computing, addressed primarily to stu- dents in Mathematics, Engineering, and Sciences. Our purpose is to provide those students with fundamental concepts of Numerical Mathematics and at the same time stir their interest in the art of implementing and programing Numerical Methods"--

Computer science --- Numerical analysis --- Mathematics

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Extended Finite Element Method provides an introduction to the extended finite element method (XFEM), a novel computational method which has been proposed to solve complex crack propagation problems. The book helps readers understand the method and make effective use of the XFEM code and software plugins now available to model and simulate these complex problems. The book explores the governing equation behind XFEM, including level set method and enrichment shape function. The authors outline a new XFEM algorithm based on the continuum-based shell and consider numerous practic

Finite element method. --- Fracture mechanics -- Mathematics. --- FEA (Numerical analysis) --- FEM (Numerical analysis) --- Finite element analysis --- Numerical analysis --- Isogeometric analysis