├── .binder ├── apt.txt ├── environment.yml └── postBuild ├── .circleci └── config.yml ├── .github ├── pull_request_template.md └── workflows │ └── html-preview.yml ├── .gitignore ├── CHANGELOG.md ├── CITATION.cff ├── CONTRIBUTING.md ├── Kap_07_Energienetzwerk.jl ├── LICENSE ├── README.md ├── content ├── 00_einleitung │ ├── 00_einleitung.md │ ├── 01_motivation.ipynb │ ├── 02_verwendung_dieses_buches.ipynb │ ├── 03_best_practice.ipynb │ ├── 04_github.ipynb │ ├── images │ │ ├── 1280px-00_1365_New_Zealand_-_Homer_Tunnel_(Milford_Sound).jpg │ │ ├── Bremsvorgang.svg │ │ ├── failed_test.gif │ │ ├── failed_test_2.png │ │ ├── git_status_0.png │ │ ├── git_status_1.png │ │ ├── git_status_2.png │ │ ├── highv_highs.png │ │ ├── highway_jam.gif │ │ ├── highway_light_green.gif │ │ ├── highway_light_red.gif │ │ ├── issue_tracker.gif │ │ ├── lowv_lows.png │ │ ├── pull_request.gif │ │ ├── trafficvariables.png │ │ ├── tunnel-wikimedia.jpg │ │ ├── usage_binder.png │ │ ├── usage_binder_launcher.png │ │ ├── usage_binder_waiting.png │ │ ├── usage_buttons.png │ │ ├── usage_thebe.png │ │ └── usage_waiting.png │ └── test_fac.m ├── 01_uebungen │ ├── 00_uebungsaufgaben.md │ ├── 01_fluessigkeit_im_boden.ipynb │ ├── 02_verkehrssimulation.ipynb │ ├── 03_der_perfekte_wurf.ipynb │ ├── 04_game_of_life.ipynb │ ├── images │ │ ├── 1280px-Bangkok_evening_traffic_jam.jpg │ │ ├── Ballwurf.jpg │ │ ├── GameOfLife_Glider.gif │ │ ├── GameOfLife_Glider_n100.gif │ │ ├── GameOfLife_HWSS.gif │ │ ├── GameOfLife_LWSS.gif │ │ ├── GameOfLife_LWSS_n100.gif │ │ ├── GameOfLife_MWSS.gif │ │ ├── GameOfLife_PBC.png │ │ ├── GameOfLife_R_Pentomino.gif │ │ ├── GameOfLife_R_Pentomino_n100.gif │ │ ├── GameOfLife_rnd_n100.gif │ │ ├── Perfekter_Wurf.png │ │ ├── Three_point_shoot.jpg │ │ ├── basketball_1.png │ │ ├── basketball_2.png │ │ ├── basketball_3.png │ │ ├── basketball_4.png │ │ ├── basketball_5.png │ │ ├── basketball_title.jpg │ │ ├── bild1_stau.png │ │ ├── bild21_stau.png │ │ ├── bild2_stau.png │ │ ├── bild3_stau.png │ │ ├── diagramm_stau.PNG │ │ ├── fluessigkeit.png │ │ ├── ringstrasse.gif │ │ ├── test1.gif │ │ └── zellnummern.PNG │ └── test_groundwater_sim.m ├── 02_gleitkommaarithmetik │ ├── 00_gleitkommaarithmetik.md │ ├── 01_uebungen.ipynb │ ├── 02_spielbeispiel_taylor.ipynb │ ├── 03_taylor.ipynb │ └── images │ │ ├── T_15.png │ │ ├── T_bits.png │ │ └── pendulum.png ├── 03_interp_approx │ ├── 00_interpolation_Und_approximation.md │ ├── 01_spielbeispiel_interpolation.ipynb │ ├── 02_lineare_interpolation.ipynb │ ├── 03_spielbeispiel_approximation.ipynb │ ├── 03_spline_interpolation.ipynb.bak │ ├── 04_lineare_approximation.ipynb │ ├── 05_spline_interpolation.ipynb │ ├── images │ │ ├── approx.gif │ │ ├── approx.png │ │ ├── linear_interpolation.png │ │ ├── spline_interpolation_inks.svg │ │ └── spline_spline.png │ └── test_quadraticSpline.m ├── 04_Differentiation_Integration │ ├── 00_differentiation_und_integration.md │ ├── 01_differentiation.ipynb │ ├── 02_spielbeispiel_integration.ipynb │ ├── 03_integration_and_stepcontrol.ipynb │ ├── images │ │ ├── diff_centre.png │ │ ├── diff_centre.tex │ │ ├── diff_left.png │ │ ├── diff_left.tex │ │ ├── diff_right.png │ │ ├── diff_right.tex │ │ ├── quadratur_simpson.png │ │ └── quadratur_simpson.tex │ ├── numDiff_example.m │ ├── numInt_example.m │ └── test_numInt.m ├── 05_lineare_gleichungen │ ├── 00_lineare_gleichungssysteme.md │ ├── 01_spielbeispiel_lgls.ipynb │ ├── 02_lgs_sparse.ipynb │ ├── 03_modellierung_einer_highline.ipynb │ ├── images │ │ ├── bridge.png │ │ └── slackline_animation.gif │ └── plot_highline.m ├── 06_nichtlineare_gleichungen │ ├── 00_nichtlineare_gleichungssysteme.md │ ├── 01_newton-verfahren.ipynb │ ├── 02_bierschaumzerfall.ipynb │ ├── images │ │ ├── 20190521_bierschaum_01.jpg │ │ ├── 20190521_bierschaum_02.jpg │ │ ├── 20190521_bierschaum_03.jpg │ │ ├── 342px-Weizenbier-ukko.jpg │ │ ├── weinglas_funktion.jpg │ │ └── weizenbier.jpg │ ├── test_jacobian.m │ ├── test_newton.m │ └── test_simple_newton.m ├── 07_num_ode │ ├── 00_numerik_gewöhnlicher_differentialgleichungen.md │ ├── 01_intro_RK │ │ ├── 00_intro_RK.md │ │ ├── 01_integration_RK.ipynb │ │ ├── 02_integration_implicit.ipynb │ │ ├── 03_adaptive_steps.ipynb │ │ ├── 04_oscillation_and_vdpol.ipynb │ │ ├── 05_integration_RK_evaluation.ipynb │ │ └── images │ │ │ ├── LeipnizUhrInvTangProblem.gif │ │ │ ├── Tikzpictures │ │ │ ├── preamble.tex │ │ │ ├── quadratur_mittelpunkt_x.tex │ │ │ ├── quadratur_mittelpunkt_xdot.tex │ │ │ ├── quadratur_rechteck_rechts_x.tex │ │ │ ├── quadratur_rechteck_rechts_xdot.tex │ │ │ ├── quadratur_rechteck_x.tex │ │ │ ├── quadratur_rechteck_xdot.tex │ │ │ └── quadratur_trapez_x.tex │ │ │ ├── cos.png │ │ │ ├── cos_comparison.png │ │ │ ├── pendulum.png │ │ │ ├── quadratur_mittelpunkt_x.png │ │ │ ├── quadratur_mittelpunkt_xdot.png │ │ │ ├── quadratur_rechteck_rechts_x.png │ │ │ ├── quadratur_rechteck_rechts_xdot.png │ │ │ ├── quadratur_rechteck_x.png │ │ │ ├── quadratur_rechteck_xdot.png │ │ │ ├── quadratur_trapez_x.png │ │ │ ├── vdP_comparison_1.png │ │ │ ├── vdP_comparison_2.png │ │ │ ├── vectorfield_animated_cos.gif │ │ │ ├── vectorfield_animated_cos_RK2.gif │ │ │ ├── vectorfield_animated_traktrix.gif │ │ │ ├── vectorfield_animated_traktrix_RK2.gif │ │ │ ├── vectors_demo_RK2_traktrix.m │ │ │ ├── vectors_demo_RK3_oscill.m │ │ │ └── vectors_demo_RK3_traktrix.m │ ├── 02_schwingungen │ │ ├── 00_harmonische_schwingung.ipynb │ │ └── images │ │ │ ├── pendulum.png │ │ │ ├── pendulum.pptx │ │ │ ├── pendulum_angrt.gif │ │ │ ├── pendulum_gdmpft.gif │ │ │ ├── pendulum_halfPI.gif │ │ │ ├── plot.png │ │ │ └── schwingung_01.gif │ ├── 03_simulation_eines_raketenstarts │ │ ├── 00_simulation_eines_raketenstarts.ipynb │ │ └── images │ │ │ └── gravity_turn.gif │ ├── 04_stabilitaet_eulerverfahren │ │ ├── 00_stabilitaet_eulerverfahren.ipynb │ │ └── images │ │ │ └── exp_imp_demonstrator_demo.png │ ├── 05_modellierung_einer_highline_dynamisch │ │ ├── 00_modellierung_einer_highline_dynamisch.ipynb │ │ └── images │ │ │ ├── animated_highline.gif │ │ │ ├── animated_highline_with_person.gif │ │ │ ├── animated_highline_with_wind.gif │ │ │ └── bridge.png │ ├── 06_mass-spring-mass │ │ ├── 00_mass-spring-mass.ipynb │ │ ├── images │ │ │ ├── boxes_animated_friction.gif │ │ │ ├── boxes_animated_friction.png │ │ │ ├── boxes_animated_friction_energies.png │ │ │ ├── boxes_animated_massdiff.gif │ │ │ ├── boxes_animated_massdiff.png │ │ │ ├── boxes_animated_massdiff_energies.png │ │ │ ├── boxes_animated_std.gif │ │ │ ├── boxes_animated_std.png │ │ │ ├── boxes_animated_std_energies.png │ │ │ ├── exp_imp_demonstrator_demo.png │ │ │ ├── mass-spring-mass.png │ │ │ └── pointmasses.png │ │ └── pointmasses.pptx │ ├── animate_highline.m │ ├── expimsolver_demonstrator_OCTAVE.m │ ├── pedestrians.m │ ├── person_on_highline.m │ └── wind.m ├── 08_eigenwerte │ ├── 00_eigenwertprobleme.md │ ├── 01_das_qr_verfahren.ipynb │ ├── 02_nullstellen_von_polynomen.ipynb │ ├── 03_schwingungsmoden_eines_eindimensionalen_balkens.ipynb │ ├── images │ │ ├── modes.gif │ │ └── rod.png │ └── test_my_eig.m ├── 09_dft │ ├── 00_diskrete_fouriertransformation.md │ ├── 01_spielbeispiel_dft.ipynb │ ├── 02_approximation_von_periodischen_signalen.ipynb │ ├── 03_filtern_verrauschter_signale.ipynb │ ├── 04_der_doppler_effekt.ipynb │ ├── 05_vuvuzela_filter.ipynb │ ├── Vuvuzela_Tshabalala_Goal.mp3 │ ├── Vuvuzela_chant_holland_vs_Denmark.mp3 │ ├── doppler_effect.mp3 │ ├── doppler_spectogram.m │ ├── images │ │ ├── honking_car_fouriertransform.png │ │ ├── honking_car_spectogram.png │ │ ├── rechteckSignal.png │ │ ├── saegezahn.png │ │ └── verrauschtesSignal.jpg │ └── vuvuzela_filter.m ├── 10_bvp │ ├── 00_randwertprobleme.md │ ├── 01_durchhang_eines_flexiblen_kabels.ipynb │ ├── 02_temperatur_in_einem_nuklearen_brennstab.ipynb │ └── images │ │ ├── brennstab.pdf │ │ ├── brennstab.png │ │ ├── brennstab.tex │ │ ├── flexible_cable.pdf │ │ ├── flexible_cable.png │ │ └── flexible_cable.tex ├── 11_pde │ ├── 00_partielle_differentialgleichungen.md │ ├── 01_modellierung_einer_highline_dynamisch_pde.ipynb │ ├── 02_konvektion_und_diffusion.ipynb │ ├── 03_trafficPDE.ipynb │ ├── autobahn_octave.txt │ └── images │ │ ├── blood_animated_a001.gif │ │ ├── blood_animated_a001_xn500.gif │ │ ├── blood_animated_cos4pit.gif │ │ ├── highway_jam.gif │ │ ├── highway_light_green.gif │ │ └── highway_light_red.gif ├── 12_matlab │ ├── 00_MATLAB_introduction.md │ ├── 01_erste_schritte_in_matlab.md │ ├── 02_matlab_command_window.ipynb │ ├── 03_skripte_und_funktionen.ipynb │ ├── 04_matlab_kennenlernen.ipynb │ ├── 05_matlab_videos │ │ ├── 00_matlab_videos.ipynb │ │ ├── 01_exercise1.ipynb │ │ ├── 02_exercise2.ipynb │ │ ├── 03_exercise3.ipynb │ │ ├── 04_exercise4.ipynb │ │ ├── 05_exercise5.ipynb │ │ ├── 06_exercise6.ipynb │ │ ├── 07_exercise7.ipynb │ │ ├── 08_exercise8.ipynb │ │ ├── 09_exercise9.ipynb │ │ ├── 10_exercise10.ipynb │ │ ├── 11_extra.ipynb │ │ ├── files │ │ │ ├── MW_01.txt │ │ │ ├── MW_02.txt │ │ │ ├── MW_03.txt │ │ │ ├── PV_measure_A.txt │ │ │ ├── PV_measure_B.txt │ │ │ ├── Sig1_measure.xlsx │ │ │ ├── Sig2_measure.xlsx │ │ │ ├── Transferdata_Read_1.txt │ │ │ ├── Transferdata_Read_2.txt │ │ │ ├── Transferdata_Write_1.txt │ │ │ └── Transferdata_Write_2.txt │ │ ├── images │ │ │ ├── circle_approximation.png │ │ │ ├── euler_pocketwatch.png │ │ │ ├── pendel.png │ │ │ ├── plot_pv_power.png │ │ │ ├── polyval_results.png │ │ │ ├── rcl.png │ │ │ └── sphere_curve.png │ │ └── rodasp2.m │ └── images │ │ ├── Matlab_Logo.png │ │ ├── matlab_run_button.png │ │ └── matlabonline.PNG ├── 13_julia │ ├── 00_julia.ipynb │ └── pic_Julia_REPL.png ├── 14_references │ └── 00_useful_links.md ├── _config.yml ├── _toc.yml ├── images │ ├── autograd.gif │ ├── empty_page.png │ ├── logo │ │ ├── favicon.ico │ │ ├── hbrs_logo_text.png │ │ ├── jupyter.png │ │ ├── logo_hbrs.svg │ │ └── logo_hbrs_notext.svg │ └── rechteck2.png ├── intro.ipynb └── references.bib ├── docs └── media │ └── pr_status.png ├── media ├── blue.png ├── mindmap.png └── orange.png ├── redirect_htmls ├── README.md ├── arithm.html ├── balken.html ├── basket.html ├── bestpr.html ├── dft.html ├── dftintro.html ├── dummy.html ├── eig.html ├── euler.html ├── expdgl.html ├── flexcable.html ├── fluess.html ├── gameol.html ├── hildyn.html ├── hiline.html ├── impdgl.html ├── lgsspm.html ├── linapp.html ├── linint.html ├── manual.html ├── masfed.html ├── matlab.html ├── newton.html ├── numdif.html ├── numint.html ├── pde.html ├── rakete.html ├── randwert.html ├── schaum.html ├── schwing.html ├── spielbeispiel-approximation.html ├── spielbeispiel-dft.html ├── spielbeispiel-integration.html ├── spielbeispiel-interpolation.html ├── spline.html ├── stau.html ├── taylor.html ├── uebung.html ├── verkehr.html └── vuvuzela.html ├── requirements.txt └── textbook-codes ├── Kap_01_Energienetz.m ├── Kap_03_Curvefit.jl ├── Kap_03_Curvefit.m ├── Kap_03_FitUI.jl ├── Kap_03_FitUI.m ├── Kap_03_Polyapprox.jl ├── Kap_03_Polyapprox.m ├── Kap_03_Polyfit.jl ├── Kap_03_Polyfit.m ├── Kap_03_Polynominterpolation.jl ├── Kap_03_Polynominterpolation.m ├── Kap_03_SmoothingSpline.jl ├── Kap_03_Spline.jl ├── Kap_03_Spline.m ├── Kap_04_Integral.jl ├── Kap_04_Integral.m ├── Kap_06_Strassenkante.jl ├── Kap_06_Strassenkante.m ├── Kap_07_DAE.jl ├── Kap_07_DAE.m ├── Kap_07_Energienetzwerk.jl ├── Kap_07_Energienetzwerk.m ├── Kap_07_FederMasse.jl ├── Kap_07_FederMasse.m ├── Kap_07_Masseteilchen_1.jl ├── Kap_07_Masseteilchen_1.m ├── Kap_07_Masseteilchen_2.jl ├── Kap_07_Masseteilchen_2.m ├── Kap_07_Pendel.jl ├── Kap_07_Pendel.m ├── Kap_07_RK3simple.jl ├── Kap_07_RK3simple.m ├── Kap_07_Taschenuhr.jl ├── Kap_07_Taschenuhr.m ├── Kap_07_Verstaerker.jl ├── Kap_07_Verstaerker.m ├── Kap_08_Resonanz.jl ├── Kap_08_Resonanz.m ├── Kap_09_SpektrumDreiklang.m ├── Kap_09_Tiefpass.jl ├── Kap_10_RWP.jl ├── Kap_10_RWP.m ├── Kap_10_Wasserspiegellage.jl ├── Kap_10_Wasserspiegellage.m ├── Kap_11_Autobahn.jl ├── Kap_11_Autobahn.m ├── Kap_11_Deichbruch.jl ├── Kap_11_Linienmethode.jl ├── 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