├── 01-lecture-intro-ma ├── 01-intro-demo.ipynb ├── IEEE.pptx ├── laplace-mesh-stencil.png ├── laplace-mesh.png ├── plate_heat.png ├── single.png ├── sparse-laplace.png └── stencil.png ├── 02-lecture-norms-svd ├── 01-demo.zip ├── 02-norms-svd-demo.ipynb ├── L^p unit balls.png ├── desktop.ini ├── figures │ ├── desktop.ini │ ├── fig1.jpg │ ├── fig2.jpg │ ├── fig3.jpg │ ├── fig4.jpg │ ├── fig5.jpg │ ├── lp-unit-balls.png │ ├── moore_law.png │ └── skeleton.png ├── moore1.png ├── moore2.png ├── moore_law.png ├── siam-review-2001-moore.pdf ├── siam-review-2001.pdf ├── svd.png ├── svd_of_image.png └── top500.png ├── 03-lecture-condition └── 02-lec-demo.ipynb ├── 04-lecture-direct-methods └── 04-lec-direct-methods.ipynb ├── 05-lecture-iterative-methods ├── 05-lec-iter-methods-demo.ipynb ├── cheb-pol.png ├── flowchart_iterative_methods.png └── richardson-optimal.png ├── 06-lecture-special-matrices ├── 06-lec-special-mat-demo.ipynb ├── Rakhmaninov.wav ├── banded-matrix.png ├── barbellgraph.png ├── barbellgraph_adj.txt └── barbellgraph_xy.txt ├── 07-lec-interp-1 └── 07-lec-pol-iterp-demo.ipynb ├── 08-lec-interp-slines └── 08-lec-interp-convergens-splines-demo.ipynb ├── 09-lec-norm-minimization ├── 09-lec-norm-minimization-demo.ipynb └── error-alternance.png ├── 10-lec-highdim-approx ├── 10_lec_high_dim_approx_demo.ipynb ├── 2d_grid_scatter.png ├── FlyerWrightFornberg.pdf ├── Oxford_2012.pdf └── RDF.pdf ├── 10-lecture ├── 10-lecture.ipynb └── 10-prac.ipynb ├── 11-lec-num-diff-integr └── 11-lec-diff-integr-demo.ipynb ├── 11-lecture ├── 11-lecture.ipynb ├── 11-prac.ipynb └── animation.py ├── 12-lec-nolinear └── 12-lec-nonlin-eq.ipynb ├── 13-lec-ode └── 13-lec-ode-demo.ipynb ├── README.md └── numan_lectures_all.pdf /01-lecture-intro-ma/01-intro-demo.ipynb: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/chikitkin/comp_math_mipt/HEAD/01-lecture-intro-ma/01-intro-demo.ipynb -------------------------------------------------------------------------------- /01-lecture-intro-ma/IEEE.pptx: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/chikitkin/comp_math_mipt/HEAD/01-lecture-intro-ma/IEEE.pptx -------------------------------------------------------------------------------- /01-lecture-intro-ma/laplace-mesh-stencil.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/chikitkin/comp_math_mipt/HEAD/01-lecture-intro-ma/laplace-mesh-stencil.png -------------------------------------------------------------------------------- /01-lecture-intro-ma/laplace-mesh.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/chikitkin/comp_math_mipt/HEAD/01-lecture-intro-ma/laplace-mesh.png -------------------------------------------------------------------------------- /01-lecture-intro-ma/plate_heat.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/chikitkin/comp_math_mipt/HEAD/01-lecture-intro-ma/plate_heat.png -------------------------------------------------------------------------------- /01-lecture-intro-ma/single.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/chikitkin/comp_math_mipt/HEAD/01-lecture-intro-ma/single.png -------------------------------------------------------------------------------- /01-lecture-intro-ma/sparse-laplace.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/chikitkin/comp_math_mipt/HEAD/01-lecture-intro-ma/sparse-laplace.png -------------------------------------------------------------------------------- /01-lecture-intro-ma/stencil.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/chikitkin/comp_math_mipt/HEAD/01-lecture-intro-ma/stencil.png -------------------------------------------------------------------------------- /02-lecture-norms-svd/01-demo.zip: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/chikitkin/comp_math_mipt/HEAD/02-lecture-norms-svd/01-demo.zip -------------------------------------------------------------------------------- /02-lecture-norms-svd/02-norms-svd-demo.ipynb: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/chikitkin/comp_math_mipt/HEAD/02-lecture-norms-svd/02-norms-svd-demo.ipynb -------------------------------------------------------------------------------- /02-lecture-norms-svd/L^p unit balls.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/chikitkin/comp_math_mipt/HEAD/02-lecture-norms-svd/L^p unit balls.png -------------------------------------------------------------------------------- /02-lecture-norms-svd/desktop.ini: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/chikitkin/comp_math_mipt/HEAD/02-lecture-norms-svd/desktop.ini -------------------------------------------------------------------------------- /02-lecture-norms-svd/figures/desktop.ini: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/chikitkin/comp_math_mipt/HEAD/02-lecture-norms-svd/figures/desktop.ini -------------------------------------------------------------------------------- /02-lecture-norms-svd/figures/fig1.jpg: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/chikitkin/comp_math_mipt/HEAD/02-lecture-norms-svd/figures/fig1.jpg -------------------------------------------------------------------------------- /02-lecture-norms-svd/figures/fig2.jpg: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/chikitkin/comp_math_mipt/HEAD/02-lecture-norms-svd/figures/fig2.jpg -------------------------------------------------------------------------------- /02-lecture-norms-svd/figures/fig3.jpg: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/chikitkin/comp_math_mipt/HEAD/02-lecture-norms-svd/figures/fig3.jpg -------------------------------------------------------------------------------- /02-lecture-norms-svd/figures/fig4.jpg: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/chikitkin/comp_math_mipt/HEAD/02-lecture-norms-svd/figures/fig4.jpg -------------------------------------------------------------------------------- /02-lecture-norms-svd/figures/fig5.jpg: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/chikitkin/comp_math_mipt/HEAD/02-lecture-norms-svd/figures/fig5.jpg -------------------------------------------------------------------------------- /02-lecture-norms-svd/figures/lp-unit-balls.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/chikitkin/comp_math_mipt/HEAD/02-lecture-norms-svd/figures/lp-unit-balls.png -------------------------------------------------------------------------------- /02-lecture-norms-svd/figures/moore_law.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/chikitkin/comp_math_mipt/HEAD/02-lecture-norms-svd/figures/moore_law.png -------------------------------------------------------------------------------- /02-lecture-norms-svd/figures/skeleton.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/chikitkin/comp_math_mipt/HEAD/02-lecture-norms-svd/figures/skeleton.png -------------------------------------------------------------------------------- /02-lecture-norms-svd/moore1.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/chikitkin/comp_math_mipt/HEAD/02-lecture-norms-svd/moore1.png -------------------------------------------------------------------------------- /02-lecture-norms-svd/moore2.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/chikitkin/comp_math_mipt/HEAD/02-lecture-norms-svd/moore2.png -------------------------------------------------------------------------------- /02-lecture-norms-svd/moore_law.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/chikitkin/comp_math_mipt/HEAD/02-lecture-norms-svd/moore_law.png -------------------------------------------------------------------------------- /02-lecture-norms-svd/siam-review-2001-moore.pdf: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/chikitkin/comp_math_mipt/HEAD/02-lecture-norms-svd/siam-review-2001-moore.pdf -------------------------------------------------------------------------------- /02-lecture-norms-svd/siam-review-2001.pdf: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/chikitkin/comp_math_mipt/HEAD/02-lecture-norms-svd/siam-review-2001.pdf -------------------------------------------------------------------------------- /02-lecture-norms-svd/svd.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/chikitkin/comp_math_mipt/HEAD/02-lecture-norms-svd/svd.png -------------------------------------------------------------------------------- /02-lecture-norms-svd/svd_of_image.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/chikitkin/comp_math_mipt/HEAD/02-lecture-norms-svd/svd_of_image.png -------------------------------------------------------------------------------- /02-lecture-norms-svd/top500.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/chikitkin/comp_math_mipt/HEAD/02-lecture-norms-svd/top500.png -------------------------------------------------------------------------------- /03-lecture-condition/02-lec-demo.ipynb: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/chikitkin/comp_math_mipt/HEAD/03-lecture-condition/02-lec-demo.ipynb -------------------------------------------------------------------------------- /04-lecture-direct-methods/04-lec-direct-methods.ipynb: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/chikitkin/comp_math_mipt/HEAD/04-lecture-direct-methods/04-lec-direct-methods.ipynb -------------------------------------------------------------------------------- /05-lecture-iterative-methods/05-lec-iter-methods-demo.ipynb: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/chikitkin/comp_math_mipt/HEAD/05-lecture-iterative-methods/05-lec-iter-methods-demo.ipynb -------------------------------------------------------------------------------- /05-lecture-iterative-methods/cheb-pol.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/chikitkin/comp_math_mipt/HEAD/05-lecture-iterative-methods/cheb-pol.png -------------------------------------------------------------------------------- /05-lecture-iterative-methods/flowchart_iterative_methods.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/chikitkin/comp_math_mipt/HEAD/05-lecture-iterative-methods/flowchart_iterative_methods.png -------------------------------------------------------------------------------- /05-lecture-iterative-methods/richardson-optimal.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/chikitkin/comp_math_mipt/HEAD/05-lecture-iterative-methods/richardson-optimal.png -------------------------------------------------------------------------------- /06-lecture-special-matrices/06-lec-special-mat-demo.ipynb: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/chikitkin/comp_math_mipt/HEAD/06-lecture-special-matrices/06-lec-special-mat-demo.ipynb -------------------------------------------------------------------------------- /06-lecture-special-matrices/Rakhmaninov.wav: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/chikitkin/comp_math_mipt/HEAD/06-lecture-special-matrices/Rakhmaninov.wav -------------------------------------------------------------------------------- /06-lecture-special-matrices/banded-matrix.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/chikitkin/comp_math_mipt/HEAD/06-lecture-special-matrices/banded-matrix.png -------------------------------------------------------------------------------- /06-lecture-special-matrices/barbellgraph.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/chikitkin/comp_math_mipt/HEAD/06-lecture-special-matrices/barbellgraph.png -------------------------------------------------------------------------------- /06-lecture-special-matrices/barbellgraph_adj.txt: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/chikitkin/comp_math_mipt/HEAD/06-lecture-special-matrices/barbellgraph_adj.txt -------------------------------------------------------------------------------- /06-lecture-special-matrices/barbellgraph_xy.txt: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/chikitkin/comp_math_mipt/HEAD/06-lecture-special-matrices/barbellgraph_xy.txt -------------------------------------------------------------------------------- /07-lec-interp-1/07-lec-pol-iterp-demo.ipynb: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/chikitkin/comp_math_mipt/HEAD/07-lec-interp-1/07-lec-pol-iterp-demo.ipynb -------------------------------------------------------------------------------- /08-lec-interp-slines/08-lec-interp-convergens-splines-demo.ipynb: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/chikitkin/comp_math_mipt/HEAD/08-lec-interp-slines/08-lec-interp-convergens-splines-demo.ipynb -------------------------------------------------------------------------------- /09-lec-norm-minimization/09-lec-norm-minimization-demo.ipynb: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/chikitkin/comp_math_mipt/HEAD/09-lec-norm-minimization/09-lec-norm-minimization-demo.ipynb -------------------------------------------------------------------------------- /09-lec-norm-minimization/error-alternance.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/chikitkin/comp_math_mipt/HEAD/09-lec-norm-minimization/error-alternance.png -------------------------------------------------------------------------------- /10-lec-highdim-approx/10_lec_high_dim_approx_demo.ipynb: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/chikitkin/comp_math_mipt/HEAD/10-lec-highdim-approx/10_lec_high_dim_approx_demo.ipynb -------------------------------------------------------------------------------- /10-lec-highdim-approx/2d_grid_scatter.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/chikitkin/comp_math_mipt/HEAD/10-lec-highdim-approx/2d_grid_scatter.png -------------------------------------------------------------------------------- /10-lec-highdim-approx/FlyerWrightFornberg.pdf: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/chikitkin/comp_math_mipt/HEAD/10-lec-highdim-approx/FlyerWrightFornberg.pdf -------------------------------------------------------------------------------- /10-lec-highdim-approx/Oxford_2012.pdf: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/chikitkin/comp_math_mipt/HEAD/10-lec-highdim-approx/Oxford_2012.pdf -------------------------------------------------------------------------------- /10-lec-highdim-approx/RDF.pdf: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/chikitkin/comp_math_mipt/HEAD/10-lec-highdim-approx/RDF.pdf -------------------------------------------------------------------------------- /10-lecture/10-lecture.ipynb: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/chikitkin/comp_math_mipt/HEAD/10-lecture/10-lecture.ipynb -------------------------------------------------------------------------------- /10-lecture/10-prac.ipynb: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/chikitkin/comp_math_mipt/HEAD/10-lecture/10-prac.ipynb -------------------------------------------------------------------------------- /11-lec-num-diff-integr/11-lec-diff-integr-demo.ipynb: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/chikitkin/comp_math_mipt/HEAD/11-lec-num-diff-integr/11-lec-diff-integr-demo.ipynb -------------------------------------------------------------------------------- /11-lecture/11-lecture.ipynb: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/chikitkin/comp_math_mipt/HEAD/11-lecture/11-lecture.ipynb -------------------------------------------------------------------------------- /11-lecture/11-prac.ipynb: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/chikitkin/comp_math_mipt/HEAD/11-lecture/11-prac.ipynb -------------------------------------------------------------------------------- /11-lecture/animation.py: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/chikitkin/comp_math_mipt/HEAD/11-lecture/animation.py -------------------------------------------------------------------------------- /12-lec-nolinear/12-lec-nonlin-eq.ipynb: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/chikitkin/comp_math_mipt/HEAD/12-lec-nolinear/12-lec-nonlin-eq.ipynb -------------------------------------------------------------------------------- /13-lec-ode/13-lec-ode-demo.ipynb: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/chikitkin/comp_math_mipt/HEAD/13-lec-ode/13-lec-ode-demo.ipynb -------------------------------------------------------------------------------- /README.md: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/chikitkin/comp_math_mipt/HEAD/README.md -------------------------------------------------------------------------------- /numan_lectures_all.pdf: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/chikitkin/comp_math_mipt/HEAD/numan_lectures_all.pdf --------------------------------------------------------------------------------