Conservation equations | Computational fluid dynamics | Numerical differential equations

Godunov's scheme

In numerical analysis and computational fluid dynamics, Godunov's scheme is a conservative numerical scheme, suggested by S. K. Godunov in 1959, for solving partial differential equations. One can think of this method as a conservative finite-volume method which solves exact, or approximate Riemann problems at each inter-cell boundary. In its basic form, Godunov's method is first order accurate in both space and time, yet can be used as a base scheme for developing higher-order methods. (Wikipedia).

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Why should you read “The Master and Margarita”? - Alex Gendler

Get to know the Russian classic “The Master and Margarita,” a genre-defying blend of political satire and occult mysticism about a visit from the Devil. -- The Devil has come to town. But don’t worry– all he wants to do is stage a magic show. This absurd premise forms the central plot of

From playlist New TED-Ed Originals

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Simone Göttlich: Traffic flow models with non-local flux and extensions to networks

We present a Godunov type numerical scheme for a class of scalar conservation laws with nonlocal flux arising for example in traffic flow modeling. The scheme delivers more accurate solutions than the widely used Lax-Friedrichs type scheme and also allows to show well-posedness of the mode

From playlist Numerical Analysis and Scientific Computing

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LITERATURE: Leo Tolstoy

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From playlist GREAT IDEAS

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On convection-diffusion-reaction and transport-flow modeling sedimentation – R. Bürger – ICM2018

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From playlist Numerical Analysis and Scientific Computing

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On convergence of numerical schemes for hyperbolic systems of conservation – S. Mishra – ICM2018

Numerical Analysis and Scientific Computing Invited Lecture 15.9 On the convergence of numerical schemes for hyperbolic systems of conservation laws Siddhartha Mishra Abstract: A large variety of efficient numerical methods, of the finite volume, finite difference and DG type, have been

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18. Weber on Traditional Authority

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3 The True Fathers of Romanticism (Isaiah Berlin 1965)

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From playlist Isaiah Berlin

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Numerical Hydrodynamics: Part 2 by Ian Hawke

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The Many Deaths of Tsarevich Dmitry

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From playlist Europe

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Rurikid Dynasty Family Tree | Rurik the Viking to Ivan the Terrible

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From playlist Royal Family Trees

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Coadjoint Orbits and Liouville Bulk Dual by Gautam Mandal

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From playlist String Theory: Past and Present

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1 Romanticism - In Search of a Definition (Isaiah Berlin 1965)

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From playlist Social & Political Philosophy

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2 Romanticism - First Attack on Enlightenment (Isaiah Berlin 1965)

Isaiah Berlin gives the 2nd lecture in a series of 6 on Romanticism and its roots. All 6 lectures: https://www.youtube.com/playlist?list=PLhP9EhPApKE_9uxkmfSIt2JJK6oKbXmd- For Berlin, the Romantics set in motion a vast, unparalleled revolution in humanity’s view of itself. They destroyed

From playlist Isaiah Berlin

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The Russian Revolution of 1917

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From playlist History

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From playlist It Starts With Literacy

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Schemes 13: The functor of points

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From playlist Algebraic geometry II: Schemes

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Schemes 20: Group schemes

This lecture is part of an online algebraic geometry course on schemes, based on chapter II of "Algebraic geometry" by Hartshorne.. We use the fiber product define last lecture to define group schemes, and give a few non-classical examples of them.

From playlist Algebraic geometry II: Schemes

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PHILOSOPHY: Immanuel Kant

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From playlist WESTERN PHILOSOPHY

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Computational fluid dynamics | Riemann problem | Conservation law | Jacobian matrix and determinant | Method of lines | Euler method | AUSM | High-resolution scheme | Finite volume method | Courant–Friedrichs–Lewy condition | Total variation diminishing | MUSCL scheme | Riemann solver | Upwind scheme | Lax–Wendroff theorem | Godunov's theorem | Lax–Friedrichs method | Numerical analysis | Hyperbolic partial differential equation