Numerical analysis

Nonstandard finite difference scheme

Nonstandard finite difference schemes is a general set of methods in numerical analysis that gives numerical solutions to differential equations by constructing a discrete model. The general rules for such schemes are not precisely known. (Wikipedia).

Video thumbnail

Finite Difference Method

Finite Difference Method for finding roots of functions including an example and visual representation. Also includes discussions of Forward, Backward, and Central Finite Difference as well as overview of higher order versions of Finite Difference. Chapters 0:00 Intro 0:04 Secant Method R

From playlist Root Finding

Video thumbnail

Differential Equations | Undetermined Coefficients for a System of DEs

We use the method of undetermined coefficients to solve a nonhomogeneous system of first order linear differential equations. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/

From playlist Systems of Differential Equations

Video thumbnail

FEM@LLNL | Efficient Techniques for Fluid Structure Interaction

Sponsored by the MFEM project, the FEM@LLNL Seminar Series focuses on finite element research and applications talks of interest to the MFEM community. On July 26, 2022, Jeffrey Banks of Rensselaer Polytechnic Institute presented "Efficient Techniques for Fluid Structure Interaction: Comp

From playlist FEM@LLNL Seminar Series

Video thumbnail

Comparing the Solutions to Homogeneous and Nonhomogeneous Systems

This video compares the solutions to a homogeneous system and nonhomogeneous system of equations.

From playlist Rank and Homogeneous Systems

Video thumbnail

The Form of the Particular Solution Using the Method of Undetermined Coefficients - Part 2

This video provides examples of how to determine the form of the particular solution to a linear second order nonhomogeneous differential equation when terms are repeated. The particular solution is not found. Site: http://mathispower4u.com

From playlist Linear Second Order Nonhomogeneous Differential Equations: Method of Undetermined Coefficients

Video thumbnail

Using nonstandard natural numbers in Ramsey Theory - M. Di Nasso - Workshop 1 - CEB T1 2018

Mauro Di Nasso (Pisa) / 01.02.2018 In Ramsey Theory, ultrafilters often play an instrumental role. By means of nonstandard models, one can reduce those third-order objects (ultrafilters are sets of sets of natural numbers) to simple points. In this talk we present a nonstandard technique

From playlist 2018 - T1 - Model Theory, Combinatorics and Valued fields

Video thumbnail

Find a General Solution to a Nonhomogeneous DE Using Undetermined Coefficients (Repeat Term)

This video explains how to determine the general solution to a linear second order differential equation using the method of undetermined coefficients. http://mathispower4u.com

From playlist Linear Second Order Nonhomogeneous Differential Equations: Method of Undetermined Coefficients

Video thumbnail

Transformation matrix with respect to a basis | Linear Algebra | Khan Academy

Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now: https://www.khanacademy.org/math/linear-algebra/alternate-bases/change-of-basis/v/lin-alg-transformation-matrix-with-respect-to-a-basis Finding the transformation matrix with respect to a non-stan

From playlist Alternate coordinate systems (bases) | Linear Algebra | Khan Academy

Video thumbnail

Find a General Solution to a Nonhomogeneous DE Using Undetermined Coefficients (Sine)

This video explains how to determine the general solution to a linear second order differential equation using the method of undetermined coefficients. http://mathispower4u.com

From playlist Linear Second Order Nonhomogeneous Differential Equations: Method of Undetermined Coefficients

Video thumbnail

A14 Nonhomegeneous linear systems solved by undetermined coefficients

There are two methods for solving nonhomogeneous systems. The first uses undetermined coefficients.

From playlist A Second Course in Differential Equations

Video thumbnail

Sam Raskin: Tate's thesis in the de Rham setting

SMRI Algebra and Geometry Online 'Tate's thesis in the de Rham setting' Sam Raskin (The University of Texas at Austin) Abstract: This is joint work with Justin Hilburn. We will explain a theorem showing that D-modules on the Tate vector space of Laurent series are equivalent to ind-cohere

From playlist SMRI Algebra and Geometry Online

Video thumbnail

"Counting Past Infinity" in All Spatial Dimensions

In this video, I explain the history behind infinity and briefly cover infinitesimals to construct infinite spatial dimensions. Sometimes I think more about my videos after posting them, these are my Post-Thoughts: * I originally had designed this video as follows: null set = 0th Dimens

From playlist Summer of Math Exposition Youtube Videos

Video thumbnail

Alternate basis transformation matrix example | Linear Algebra | Khan Academy

Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now: https://www.khanacademy.org/math/linear-algebra/alternate-bases/change-of-basis/v/lin-alg-alternate-basis-tranformation-matrix-example Example of finding the transformation matrix for an alternate

From playlist Alternate coordinate systems (bases) | Linear Algebra | Khan Academy

Video thumbnail

Foundations S2 - Seminar 7 - Nonstandard models of arithmetic

A seminar series on the foundations of mathematics, by Will Troiani and Billy Snikkers. In this lecture Billy uses ultrafilters to construct nonstandard models of arithmetic, the hypernaturals. Near the end is some discussion of how to read this as talking about the limits of first order l

From playlist Foundations seminar

Video thumbnail

Differential Equations | Variation of Parameters for a System of DEs

We solve a nonhomogeneous system of linear differential equations using the method of variation of parameters. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/

From playlist Systems of Differential Equations

Video thumbnail

Analogue Super Nt Review!

There have been a number of clone Super Nintendo systems over the years. But could this one be so good, it's even better than the original? Analogue Super Nt product page: https://www.analogue.co/pages/super-nt/ ----------------------------------------­-----------------------------------

From playlist Tech Reviews

Video thumbnail

Allesandro Lazaric: Reinforcement learning - lecture 3

CIRM HYBRID EVENT Recorded during the meeting "Mathematics, Signal Processing and Learning" the January 28, 2021 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematicians o

From playlist Virtual Conference

Video thumbnail

Standard and Nonstandard Comparisons of Relative Trace Formulas - Yiannis Sakellaridis

Yiannis Sakellaridis Rutgers, The State University of New Jersey March 1, 2013 The trace formula has been the most powerful and mainstream tool in automorphic forms for proving instances of Langlands functoriality, including character relations. Its generalization, the relative trace formu

From playlist Mathematics

Video thumbnail

Find a General Solution to a Nonhomogeneous DE Using Undetermined Coefficients (Quadratic)

This video explains how to determine the general solution to a linear second order differential equation using the method of undetermined coefficients. http://mathispower4u.com

From playlist Linear Second Order Nonhomogeneous Differential Equations: Method of Undetermined Coefficients

Related pages

Numerical analysis