Variants of random walks | Boundary value problems

Double Fourier sphere method

In mathematics, the double Fourier sphere (DFS) method is a simple technique that transforms a function defined on the surface of the sphere to a function defined on a rectangular domain while preserving periodicity in both the longitude and latitude directions. (Wikipedia).

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Applications of double integrals: examples

Free ebook http://tinyurl.com/EngMathYT Example of how to apply double integrals to compute mass and moments of thin plates.

From playlist Engineering Mathematics

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Hyperbolic Coordinates

In this video, I introduce the hyperbolic coordinates, which is a variant of polar coordinates that is particularly useful for dealing with hyperbolas (and 3 dimensional versions like hyperboloids of one sheet or two sheets). Suprisingly (or not), they involve the hyperbolic trig functions

From playlist Double and Triple Integrals

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Multivariable Calculus Volume of a Sphere Proof - Double Integrals

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From playlist Proofs

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Separation of Variables - Multiple Dimensions - Part 2

Part 2 of solving for the temperature inside of a cube using separation of variables. We use a "double Fourier Trick" to obtain the coefficients of our series solution, and examine the solution with Mathematica.

From playlist Mathematical Physics II Uploads

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Tutorial - double integrals

Download the free PDF http://tinyurl.com/EngMathYT A tutorial on the basics of setting up and evaluating double integrals. We show how to sketch regions of integration, their description, and how to reverse the order of integration.

From playlist Several Variable Calculus / Vector Calculus

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Simple double integral

Download the free PDF http://tinyurl.com/EngMathYT This video shows how to integrate over rectangles. The ideas use double integrals and are seen in university mathematics.

From playlist Several Variable Calculus / Vector Calculus

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MATH2018 Lecture 4.1 Double Integrals

Double integration extends the concepts of regular integration to functions of more than one variable. Instead of finding the area under a curve, we will be calculating the volume under a surface.

From playlist MATH2018 Engineering Mathematics 2D

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Spherical Limit

Limit using spherical coordinates In this video, I calculate a limit using spherical coordinates, which will make this seemingly complicated limit easy to evaluate. Witness the power and beauty of multivariable calculus, and enjoy the show! Polar Coordinate Limit: https://youtu.be/WtLGRg

From playlist Double and Triple Integrals

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Sharp sphere packings – Maryna Viazovska – ICM2018

Number Theory | Combinatorics Invited Lecture 3.1 | 13.1 Sharp sphere packings Maryna Viazovska Abstract: In this talk we will speak about recent progress on the sphere packing problem. The packing problem can be formulated for a wide class of metric spaces equipped with a measure. An in

From playlist Number Theory

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What is a Double Integral?

Have you ever wondered what a double integral is and what it has to do with cake? If so, watch this video and find out. Here I show step-by-step how to calculate a double integral, which is the multivariable calculus analog of an integral, enjoy! Double and Triple Integrals: https://www.y

From playlist Double and Triple Integrals

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[BOURBAKI 2017] 17/06/2017 - 1/4 - Joseph OESTERLÉ

Densité maximale des empilements de sphères en dimensions 8 et 24 [d'après M. Viazovska et al.] ---------------------------------- Vous pouvez nous rejoindre sur les réseaux sociaux pour suivre nos actualités. Facebook : https://www.facebook.com/InstitutHenriPoincare/ Twitter : https://t

From playlist BOURBAKI - 2017

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Universal optimality proof by Abhinav Kumar

DISCUSSION MEETING SPHERE PACKING ORGANIZERS: Mahesh Kakde and E.K. Narayanan DATE: 31 October 2019 to 06 November 2019 VENUE: Madhava Lecture Hall, ICTS Bangalore Sphere packing is a centuries-old problem in geometry, with many connections to other branches of mathematics (number the

From playlist Sphere Packing - 2019

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Matthew Choptuik - Multi-oscillating Boson Stars - IPAM at UCLA

Recorded 26 October 2021. Matthew Choptuik of University of British Columbia Physics presents "Multi-oscillating Boson Stars" at IPAM's Workshop II: Mathematical and Numerical Aspects of Gravitation. Abstract: General-relativistic boson stars are stationary, gravitationally bound configura

From playlist Workshop: Mathematical and Numerical Aspects of Gravitation

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Bounds for L-functions by Ritabrata Munshi

PROGRAM ELLIPTIC CURVES AND THE SPECIAL VALUES OF L-FUNCTIONS (HYBRID) ORGANIZERS: Ashay Burungale (CalTech/UT Austin, USA), Haruzo Hida (UCLA), Somnath Jha (IIT Kanpur) and Ye Tian (MCM, CAS) DATE: 08 August 2022 to 19 August 2022 VENUE: Ramanujan Lecture Hall and online The program pla

From playlist ELLIPTIC CURVES AND THE SPECIAL VALUES OF L-FUNCTIONS (2022)

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Hong Wang: The restriction problem and the polynomial method, Lecture I

Stein’s restriction conjecture is about estimating functions with Fourier transform supported on a hypersurface, for example, a sphere in Rn. These functions can be decomposed into a sum over wave packets supported on long thin tubes. Guth introduced the polynomial method in restriction th

From playlist Harmonic Analysis and Analytic Number Theory

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Semidefinte programming bounds by Abhinav Kumar

DISCUSSION MEETING SPHERE PACKING ORGANIZERS: Mahesh Kakde and E.K. Narayanan DATE: 31 October 2019 to 06 November 2019 VENUE: Madhava Lecture Hall, ICTS Bangalore Sphere packing is a centuries-old problem in geometry, with many connections to other branches of mathematics (number the

From playlist Sphere Packing - 2019

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Exotic patterns in Faraday waves by Laurette Tuckerman (Sorbonne University, France)

ICTS Special Colloquium Title: Exotic patterns in Faraday waves Speaker: Laurette Tuckerman (Sorbonne University, France) Date & Time: Thu, 20 February 2020, 11:30 to 13:00 Venue: Emmy Noether Seminar Room, ICTS Campus, Bangalore Abstract: For the Faraday instability, by which stand

From playlist ICTS Colloquia

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Talk Jingwei Hu: Deterministic solution of the Boltzmann equation Fast spectral methods

The lecture was held within the of the Hausdorff Trimester Program: Kinetic Theory Abstract: The Boltzmann equation, an integro-differential equation for the molecular distribution function in the physical and velocity phase space, governs the fluid flow behavior at a wide range of physi

From playlist Summer School: Trails in kinetic theory: foundational aspects and numerical methods

Related pages

Steven Orszag | Periodic function | Sphere | Spherical harmonics