Iterative refinement is an iterative method proposed by James H. Wilkinson to improve the accuracy of numerical solutions to systems of linear equations. When solving a linear system due to the compounded accumulation of rounding errors, the computed solution may sometimes deviate from the exact solution Starting with iterative refinement computes a sequence which converges to when certain assumptions are met. (Wikipedia).
Comparing Iterative and Recursive Factorial Functions
Comparing iterative and recursive factorial functions
From playlist Computer Science
Iterative Fibonacci Function Example
One way to write a Fibonacci function iteratively
From playlist Computer Science
B22 Introduction to Substitutions
An overview of the three type of substitutions as a new method of solving linear, exact, and "almost" separable differential equations.
From playlist Differential Equations
The idea of ‘atonement’ sounds very old-fashioned and is deeply rooted in religious tradition. To atone means, in essence, to acknowledge one’s capacity for wrongness and one’s readiness for apology and desire for change. It’s a concept that every society needs at its center. For gifts and
From playlist RELATIONSHIPS
What is an Injective Function? Definition and Explanation
An explanation to help understand what it means for a function to be injective, also known as one-to-one. The definition of an injection leads us to some important properties of injective functions! Subscribe to see more new math videos! Music: OcularNebula - The Lopez
From playlist Functions
B03 An improvement of the Euler method
Introducing predictor-corrector methods, improving on Euler's method of numerical analysis.
From playlist A Second Course in Differential Equations
Martin Vohralík: Adaptive inexact Newton methods and their application to multi-phase flows
Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b
From playlist Numerical Analysis and Scientific Computing
Martin Vohralik: A posteriori error estimates and solver adaptivity in numerical simulations
Abstract: We review how to bound the error between the unknown weak solution of a PDE and its numerical approximation via a fully computable a posteriori estimate. We focus on approximations obtained at an arbitrary step of a linearization (Newton-Raphson, fixed point, ...) and algebraic s
From playlist Numerical Analysis and Scientific Computing
MFEM Workshop 2022 | High-Order Solvers + GPU Acceleration
The LLNL-led MFEM (Modular Finite Element Methods) project provides high-order mathematical calculations for large-scale scientific simulations. The project’s second community workshop was held on October 25, 2022, with participants around the world. Learn more about MFEM at https://mfem.o
From playlist MFEM Community Workshop 2022
C80 Solving a linear DE with Laplace transformations
Showing how to solve a linear differential equation by way of the Laplace and inverse Laplace transforms. The Laplace transform changes a linear differential equation into an algebraical equation that can be solved with ease. It remains to do the inverse Laplace transform to calculate th
From playlist Differential Equations
Maria Charina: Algebraic multigrid and subdivision
Abstract: Multigrid is an iterative method for solving large linear systems of equations whose Toeplitz system matrix is positive definite. One of the crucial steps of any Multigrid method is based on multivariate subdivision. We derive sufficient conditions for convergence and optimality
From playlist Numerical Analysis and Scientific Computing
Predictive Coding Approximates Backprop along Arbitrary Computation Graphs (Paper Explained)
#ai #biology #neuroscience Backpropagation is the workhorse of modern deep learning and a core component of most frameworks, but it has long been known that it is not biologically plausible, driving a divide between neuroscience and machine learning. This paper shows that Predictive Codin
From playlist Papers Explained
Get the most out of the 5 most common Scrum events: - Backlog refinement - Sprint planning - Daily Scrum - Sprint review - Sprint retrospective Video by Agile Coach Chris Gagné: https://chrisgagne.com/ - Learn to code for free and get a developer job: https://www.freecodecamp.com Read
From playlist Tutorials
6. Szemerédi's graph regularity lemma I: statement and proof
MIT 18.217 Graph Theory and Additive Combinatorics, Fall 2019 Instructor: Yufei Zhao View the complete course: https://ocw.mit.edu/18-217F19 YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP62qauV_CpT1zKaGG_Vj5igX Szemerédi's graph regularity lemma is a powerful tool in
From playlist MIT 18.217 Graph Theory and Additive Combinatorics, Fall 2019
MFEM Workshop 2021 | High-Order Matrix-Free Solvers
The LLNL-led MFEM (Modular Finite Element Methods) project provides high-order mathematical calculations for large-scale scientific simulations. The project’s first community workshop was held virtually on October 20, 2021, with participants around the world. Learn more about MFEM at https
From playlist MFEM Community Workshop 2021
Olga Mula Hernandez: PinTS cheme using time as a parameter
When thinking about parallel in time schemes, one often tends to view time as a variable to discretize within a numerical scheme (that usually involves a time marching strategy). In this talk, I propose to review alternative strategies where time can be seen as a parameter so that computin
From playlist Jean-Morlet Chair - Gander/Hubert
Ahmed Ratnani: Towards complex and realistic tokamaks geometries in computational plasma physics
Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b
From playlist Mathematical Physics
Now, a look at the principles of the function of the esophagus
From playlist Acute Care Surgery