├── .gitattributes ├── .gitignore ├── .gitmodules ├── LICENSE ├── README.md ├── assets ├── README.md ├── __init__.py ├── code-prettify │ ├── README.md │ ├── codestyle.css │ └── google-code-prettify │ │ ├── lang-Splus.js │ │ ├── lang-aea.js │ │ ├── lang-agc.js │ │ ├── lang-apollo.js │ │ ├── lang-basic.js │ │ ├── lang-cbm.js │ │ ├── lang-cl.js │ │ ├── lang-clj.js │ │ ├── lang-css.js │ │ ├── lang-dart.js │ │ ├── lang-el.js │ │ ├── lang-erl.js │ │ ├── lang-erlang.js │ │ ├── lang-ex.js │ │ ├── lang-exs.js │ │ ├── lang-fs.js │ │ ├── lang-go.js │ │ ├── lang-hs.js │ │ ├── lang-kotlin.js │ │ ├── lang-lasso.js │ │ ├── lang-lassoscript.js │ │ ├── lang-latex.js │ │ ├── lang-lgt.js │ │ ├── lang-lisp.js │ │ ├── lang-ll.js │ │ ├── lang-llvm.js │ │ ├── lang-logtalk.js │ │ ├── lang-ls.js │ │ ├── lang-lsp.js │ │ ├── lang-lua.js │ │ ├── lang-matlab.js │ │ ├── lang-ml.js │ │ ├── lang-mumps.js │ │ ├── lang-n.js │ │ ├── lang-nemerle.js │ │ ├── lang-pascal.js │ │ ├── lang-proto.js │ │ ├── lang-r.js │ │ ├── lang-rd.js │ │ ├── lang-rkt.js │ │ ├── lang-rust.js │ │ ├── lang-s.js │ │ ├── lang-scala.js │ │ ├── lang-scm.js │ │ ├── lang-sql.js │ │ ├── lang-ss.js │ │ ├── lang-swift.js │ │ ├── lang-tcl.js │ │ ├── lang-tex.js │ │ ├── lang-vb.js │ │ ├── lang-vbs.js │ │ ├── lang-vhd.js │ │ ├── lang-vhdl.js │ │ ├── lang-wiki.js │ │ ├── lang-xq.js │ │ ├── lang-xquery.js │ │ ├── lang-yaml.js │ │ ├── lang-yml.js │ │ ├── prettify.css │ │ ├── prettify.js │ │ ├── run_prettify.js │ │ └── skins │ │ ├── desert.css │ │ ├── doxy.css │ │ ├── sons-of-obsidian.css │ │ └── sunburst.css ├── embed.html ├── pdfshow.py ├── server.py ├── specs.py ├── startup.py └── web │ ├── frame_loaded.js │ ├── listener_parent.js │ ├── maxwell.pdf │ ├── notebook_init.js │ └── style.html ├── ex1 ├── .flake8 ├── README.md ├── assets ├── ex1.ipynb ├── ex1_mini.html ├── ex1_mini.ipynb ├── hilbert_det.py ├── hilbert_test.py ├── latex │ ├── macros.tex │ ├── mathjax.tex │ ├── packages.tex │ ├── print.pdf │ ├── print.tex │ └── sections │ │ ├── 0.title.pdf │ │ ├── 0.title.tex │ │ ├── 1.1.error.pdf │ │ ├── 1.1.error.tex │ │ ├── 2.1.matrix.pdf │ │ ├── 2.1.matrix.tex │ │ ├── 3.1.hilbert.pdf │ │ ├── 3.1.hilbert.tex │ │ ├── 3.2.asymptotic.pdf │ │ ├── 3.2.asymptotic.tex │ │ ├── 3.3.errorplot.pdf │ │ ├── 3.3.errorplot.tex │ │ └── standalone.tex ├── matrix_sol.py ├── methodsCompare.csv └── wolfram │ ├── README.md │ ├── asymptoticPlot.pdf │ ├── cond.gsp │ ├── errorPlot.nb │ ├── errorPlot.pdf │ ├── hilbertMatrix.nb │ └── stirlingApprox.nb ├── ex2 ├── .flake8 ├── Cartesian_to_polar.gif ├── README.md ├── assets ├── csv │ ├── chebyshev.csv │ ├── neville.csv │ └── spline.csv ├── ex2.ipynb ├── ex2_mini.html ├── latex │ ├── document.pdf │ ├── document.tex │ ├── macros.tex │ ├── mathjax.tex │ ├── packages.tex │ └── sections │ │ ├── 0.title.pdf │ │ ├── 0.title.tex │ │ ├── 1.iteration.pdf │ │ ├── 1.iteration.tex │ │ ├── 2.chebyshev_nodes.pdf │ │ ├── 2.chebyshev_nodes.tex │ │ ├── 3.asymptotic.pdf │ │ ├── 3.asymptotic.tex │ │ └── standalone.tex └── pycode │ ├── __init__.py │ ├── backstage.py │ ├── toolkit │ ├── __init__.py │ ├── generic.py │ ├── integral.py │ ├── interpol.py │ ├── linearsol.py │ └── rootfinder.py │ └── zeta_study.py ├── ex3 ├── .flake8 ├── README.md ├── assets ├── csv │ └── lattice_length3.csv ├── ex3.ipynb ├── ex3_mini.html ├── latex │ ├── document.pdf │ ├── document.tex │ ├── macros.tex │ ├── mathjax.tex │ ├── packages.tex │ └── sections │ │ ├── 0.title.pdf │ │ ├── 0.title.tex │ │ ├── 1.qr_complexity.pdf │ │ ├── 1.qr_complexity.tex │ │ ├── 2.lattice_vibration.pdf │ │ ├── 2.lattice_vibration.tex │ │ └── standalone.tex └── pycode │ ├── __init__.py │ ├── backstage.py │ ├── lattice_vibrations.py │ ├── qr_benchmark.py │ └── toolkit │ ├── __init__.py │ ├── eigensys.py │ ├── generic.py │ ├── integral.py │ ├── interpol.py │ ├── linearsol.py │ ├── qrdecomp.py │ └── rootfinder.py ├── ex4 ├── .flake8 ├── README.md ├── assets ├── csv │ ├── eq_with_external_force.csv │ ├── lorenz_attractor.csv │ ├── magnetic_cyclic.csv │ └── point_charge_potential.csv ├── ex4.ipynb ├── ex4_mini.html ├── latex │ ├── document.pdf │ ├── document.tex │ ├── macros.tex │ ├── mathjax.tex │ ├── packages.tex │ └── sections │ │ ├── 0.title.pdf │ │ ├── 0.title.tex │ │ ├── shooting_method.pdf │ │ ├── shooting_method.tex │ │ └── standalone.tex └── pycode │ ├── __init__.py │ ├── backstage.py │ ├── initial_value_problem.py │ ├── point_source_problem.py │ └── toolkit │ ├── __init__.py │ ├── dsolve.py │ ├── eigensys.py │ ├── generic.py │ ├── integral.py │ ├── interpol.py │ ├── linearsol.py │ ├── qrdecomp.py │ └── rootfinder.py ├── ex5 ├── .flake8 ├── .gitignore ├── .vscode │ └── settings.json ├── README.md ├── assets ├── csv │ └── figs │ │ ├── advection_dt2_dx5.gif │ │ ├── advection_dt4_dx5.gif │ │ ├── advection_dt5_dx5.gif │ │ ├── advection_dt6_dx5.gif │ │ ├── soliton_large_t.gif │ │ ├── soliton_new_tsteps50k_xsteps192.gif │ │ ├── soliton_tsteps50k_xsteps128.gif │ │ ├── soliton_tsteps50k_xsteps192.gif │ │ └── soliton_tsteps50k_xsteps64.gif ├── ex5.ipynb ├── ex5_mini.html ├── latex │ ├── document.pdf │ ├── document.tex │ ├── macros.tex │ ├── mathjax.tex │ ├── packages.tex │ └── sections │ │ ├── 0.title.pdf │ │ ├── 0.title.tex │ │ ├── standalone.tex │ │ └── template.tex └── pycode │ ├── __init__.py │ ├── backstage.py │ ├── kruskal_zabusky.py │ ├── kruskal_zabusky_new.py │ ├── soliton_debug_env.py │ ├── toolkit │ ├── __init__.py │ ├── dsolve.py │ ├── eigensys.py │ ├── generic.py │ ├── integral.py │ ├── interpol.py │ ├── linearsol.py │ ├── pde.py │ ├── qrdecomp.py │ └── rootfinder.py │ └── upwind_stability.py ├── ex6 ├── .flake8 ├── .gitignore ├── .vscode │ └── settings.json ├── README.md ├── assets ├── ex6.ipynb ├── ex6_mini.html ├── init_cells.py ├── latex │ ├── document.pdf │ ├── document.tex │ ├── macros.tex │ ├── mathjax.tex │ ├── packages.tex │ └── sections │ │ ├── 0.title.pdf │ │ ├── 0.title.tex │ │ ├── 1.random_walk_variance.pdf │ │ ├── 1.random_walk_variance.tex │ │ ├── standalone.tex 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