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1

Hankeln, Corinna. Mathematisches Modellieren mit dynamischer Geometrie-Software. Wiesbaden: Springer Fachmedien Wiesbaden, 2019. http://dx.doi.org/10.1007/978-3-658-23339-6.

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2

Richter-Gebert, Jürgen, and Ulrich H. Kortenkamp. Benutzerhandbuch für die interaktive Geometrie-Software. Berlin, Heidelberg: Springer Berlin Heidelberg, 2001. http://dx.doi.org/10.1007/978-3-642-56890-9.

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3

Stra€er, Wolfgang. Theory and Practice of Geometric Modeling. Berlin, Heidelberg: Springer Berlin Heidelberg, 1989.

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4

Joswig, Michael. Algebra, Geometry and Software Systems. Berlin, Heidelberg: Springer Berlin Heidelberg, 2003.

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5

Yamaguchi, Fujio. Curves and Surfaces in Computer Aided Geometric Design. Berlin, Heidelberg: Springer Berlin Heidelberg, 1988.

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6

Florent, Dupont, Sivignon Isabelle, Tougne Laure, and SpringerLink (Online service), eds. Discrete Geometry for Computer Imagery: 14th IAPR International Conference, DGCI 2008, Lyon, France, April 16-18, 2008. Proceedings. Berlin, Heidelberg: Springer-Verlag Berlin Heidelberg, 2008.

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7

Richter-Gebert, Jürgen. User manual for the interactive geometry software Cinderella. Berlin: Springer, 2000.

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8

Xavier, Provençal, Reutenauer Christophe, and SpringerLink (Online service), eds. Discrete Geometry for Computer Imagery: 15th IAPR International Conference, DGCI 2009, Montréal, Canada, September 30 - October 2, 2009. Proceedings. Berlin, Heidelberg: Springer Berlin Heidelberg, 2009.

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9

J, Akiyama, Kanō Mikio 1949-, and Tan Xuehou, eds. Discrete and computational geometry: Japanese conference, JCDCG 2004, Tokyo, Japan, October 8-11, 2004 : revised selected papers. Berlin: Springer, 2005.

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10

H, Kortenkamp Ulrich, and SpringerLink (Online service), eds. The Cinderella.2 Manual: Working with The Interactive Geometry Software. Berlin, Heidelberg: Springer Berlin Heidelberg, 2012.

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11

Richter-Gebert, Jürgen. The interactive geometry software, Cinderella: Version 1.2 : with 126 figures and a CD-ROM. Berlin: Springer, 1999.

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12

Villiers, Michael D. De. Rethinking proof: With the Geometer's sketchpad. Emeryville, CA: Key Curriculum Press, 1999.

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13

Gutenmakher, V. L. Lines and curves: A practical geometry handbook. Boston: Birkhäuser, 2004.

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14

Bartels, Richard H. An introduction to splines for use in computer graphics and geometric modeling. Los Altos, Calif: M. Kaufmann Publishers, 1987.

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15

Berg, Mark. Computational Geometry: Algorithms and Applications. Berlin, Heidelberg: Springer Berlin Heidelberg, 2000.

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16

Gray, Alfred. Modern differential geometry of curves and surfaces with Mathematica. 2nd ed. Boca Raton: CRC Press, 1998.

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17

Simon, Salamon, and Abbena Elsa, eds. Modern differential geometry of curves and surfaces with Mathematica. 3rd ed. Boca Raton: Taylor & Francis, 2006.

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18

Stefan, Näher, Alt Helmut, and SpringerLink (Online service), eds. Efficient Algorithms: Essays Dedicated to Kurt Mehlhorn on the Occasion of His 60th Birthday. Berlin, Heidelberg: Springer Berlin Heidelberg, 2009.

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19

Sabin, M. A. (Malcolm Arthur), Martin Ralph R, and SpringerLink (Online service), eds. Mathematics of Surfaces XIII: 13th IMA International Conference York, UK, September 7-9, 2009 Proceedings. Berlin, Heidelberg: Springer Berlin Heidelberg, 2009.

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20

International Workshop WG (35th 2009 Monpellier, France). Graph-theoretic concepts in computer science: 35th international workshop, WG 2009, Montpellier, France, June 24-26, 2009, revised papers. Berlin: Springer, 2010.

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21

service), SpringerLink (Online, ed. Graph Theoretic Concepts in Computer Science: 36th International Workshop, WG 2010, Zarós, Crete, Greece, June 28-30, 2010 Revised Papers. Berlin, Heidelberg: Springer Berlin Heidelberg, 2010.

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22

ISAAC (Conference) (20th 2009 Honolulu, Hawaii). Algorithms and computation: 20th international symposium, ISAAC 2009, Honolulu, Hawaii, USA, December 16-18, 2009 : proceedings. Berlin: Springer, 2009.

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23

David, Hutchison. WALCOM: Algorithms and Computation: Third International Workshop, WALCOM 2009, Kolkata, India, February 18-20, 2009. Proceedings. Berlin, Heidelberg: Springer Berlin Heidelberg, 2009.

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24

Wiederhold, Petra. Combinatorial Image Analysis: 13th International Workshop, IWCIA 2009, Playa del Carmen, Mexico, November 24-27, 2009. Proceedings. Berlin, Heidelberg: Springer-Verlag Berlin Heidelberg, 2009.

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25

Golumbic, Martin Charles. Graph-Theoretic Concepts in Computer Science: 38th International Workshop, WG 2012, Jerusalem, Israel, June 26-28, 2012, Revised Selcted Papers. Berlin, Heidelberg: Springer Berlin Heidelberg, 2012.

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26

Márquez, Alberto. Computational Geometry: XIV Spanish Meeting on Computational Geometry, EGC 2011, Dedicated to Ferran Hurtado on the Occasion of His 60th Birthday, Alcalá de Henares, Spain, June 27-30, 2011, Revised Selected Papers. Berlin, Heidelberg: Springer Berlin Heidelberg, 2012.

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27

Kortenkamp, Ulrich H., and Jürgen Richter-Gebert. Benutzerhandbuch für die interaktive Geometrie-Software Cinderella. Springer, 2001.

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28

Boudreau, Joseph F., and Eric S. Swanson. Graphics for physicists. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198708636.003.0010.

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While the visualization of data is critical for many scientific applications, the development of programs to render geometrical forms in real time, providing interactive control over viewpoint and angle, animation, and/or user interaction, can be complicated for a scientist. The need to master unfamiliar technology such as graphics engines, windowing software, and graphical user interfaces constitute major challenges. An introduction to the graphical display of data using the Coin3d toolkit for object modeling and rendering is given. The Qt library for graphical user interfacing and the SoQt package, which serves as “glue” between Qt and Coin3d are also presented. Applications to visualizing fractal geometries, three-dimensional objects, and random data are presented.
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29

Hankeln, Corinna. Mathematisches Modellieren mit dynamischer Geometrie-Software: Ergebnisse einer Interventionsstudie. Springer Spektrum, 2018.

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30

Eugene, Stillman Michael, Takayama Nobuki 1959-, and Verschelde Jan, eds. Software for algebraic geometry. New York: Springer, 2008.

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31

Algebra, Geometry and Software Systems. Springer, 2003.

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32

Yamaguchi, Fujio. Curves and Surfaces in Computer Aided Geometric Design. Springer, 2014.

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33

1965-, Joswig Michael, and Takayama Nobuki 1959-, eds. Integration of algebra and geometry software systems. New York: Springer, 2003.

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34

Eriksson, Olle, Anders Bergman, Lars Bergqvist, and Johan Hellsvik. Implementation. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780198788669.003.0007.

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In this chapter, we will present the technical aspects of atomistic spin dynamics, in particular how the method can be implemented in an actual computer software. This involves calculation of effective field and creation of neighbour lists for setting up the geometry of the system of interest as well as choosing a suitable integrator scheme for the SLL (or SLLG) equation. We also give examples of extraction and processing of relevant observables that are common output from simulations. Atomistic spin dynamics simulations could be a computationally heavy tool but it is also very well adapted for modern computer architectures like massive parallel computing and/or graphics processing units and we provide examples how to utilize these architectures in an efficient manner. We use our own developed software UppASD as example, but the discussion could be applied to any other atomistic spin dynamics software.
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35

1943-, King James R., and Schattschneider Doris, eds. Geometry turned on!: Dynamic software in learning, teaching, and research. [Washington, D.C.]: Mathematical Association of America, 1997.

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36

(Editor), Doris Schattschneider, and James King (Editor), eds. Geometry Turned On: Dynamic Software in Learning, Teaching, and Research (Mathematical Association of America Notes). The Mathematical Association of America, 1997.

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37

1941-, Strasser Wolfgang, Klein Reinhard 1961-, and Rau René 1961-, eds. Geometric modeling: Theory and practice : the state of the art. Berlin: Springer, 1997.

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38

Geometric Modeling: Theory and Practice : The State of the Art (Focus on Computer Graphics). Springer-Verlag Telos, 1997.

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39

Shephard, G. C., and Branko Grunbaum. Tilings and Patterns. Dover Publications, Incorporated, 2016.

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40

Shephard, G. C., and Branko Gruenbaum. Tilings and Patterns (A Series of books in the mathematical sciences). W H Freeman & Co, 1986.

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41

Gutenmacher, Victor, and N. B. Vasilyev. Lines and Curves: A Practical Geometry Handbook. Birkhäuser Boston, 2004.

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42

An introduction to splines for use in computer graphics and geometric modeling. Morgan Kauffman, 1987.

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43

Algebraic Complexity Theory. Springer, 2010.

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44

Abbena, Elsa, Alfred Gray, and Simon Salamon. Modern Differential Geometry of Curves and Surfaces with Mathematica, Third Edition (Studies in Advanced Mathematics). 3rd ed. Chapman & Hall/CRC, 2006.

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45

Analytic Patch Configuration (APC) gateway. Hampton, Va: National Aeronautics and Space Administration, Langley Research Center, 1990.

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46

de, Berg Mark, ed. Computational geometry: Algorithms and applications. 3rd ed. Berlin: Springer, 2008.

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47

An Introduction to Splines for Use in Computer Graphics and Geometric Modeling (The Morgan Kaufmann Series in Computer Graphics). Morgan Kaufmann, 1989.

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48

(Editor), Achille Braquelaire, Jacques-Olivier Lauchaud (Editor), and Anne Vialard (Editor), eds. Discrete Geometry for Computer Imagery: 10th International Conference, DGCI 2002, Bordeaux, France, April 3-5, 2002. Proceedings (Lecture Notes in Computer Science). Springer, 2002.

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49

1944-, Morozov Albert D., ed. Invariant sets for Windows. Singapore: World Scientific, 1999.

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50

Dragunov, Timothy N., Svetlana A. Boykova, and Olga V. Malysheva. Invariant Sets for Windows: Resonance Structures, Attractors, Fractals, and Patterns (World Scientific Series on Nonlinear Science. Series a, Monographs and Treatises, V. 37.). World Scientific Publishing Company, 1999.

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