Asymptotic Analysis Courses and Certifications

Institut Henri Poincaré

Asymptotic Analysis for Selection-Mutation Models: Locations and Weights of Limit Singular Measures

Explore asymptotic analysis of selection-mutation models, focusing on limit singular measures' locations and weights. Gain insights into population dynamics and mathematical biology.

• YouTube
• 26 minutes
• On-Demand
• Free Video

BIMSA

From Quantum to Continuum - Asymptotic Analysis Across Scales and Toward AI-Assisted Derivations

Explore asymptotic analysis bridging quantum and continuum scales, featuring AI-assisted mathematical derivations in this BIMSA conference presentation.

• YouTube
• 1 hour 2 minutes
• On-Demand
• Free Video

Algorithmic Thinking (Part 1)

15 reviews

Explore algorithmic efficiency and graph theory, implementing key algorithms in Python to analyze real-world data sets. Develop problem-solving skills beyond specific programming languages.

• Coursera
• 12 hours
• On-Demand
• Paid Course

International Centre for Theoretical Sciences

Perturbation Methods for Nonlinear PDEs - Lecture 1

Explore perturbation methods for nonlinear PDEs, focusing on adapting linear equation techniques. Learn unified approaches through examples from cold atoms, water waves, and atmospheric science.

• YouTube
• 1 hour 36 minutes
• On-Demand
• Free Video

ICTP Mathematics

Lectures on Standard and Less Standard Asymptotic Methods - Lecture 1

Explore advanced asymptotic methods for evaluating infinite sums and recognizing sequence patterns. Learn techniques from standard to unconventional, with practical examples and high-precision computations.

• YouTube
• 1 hour 29 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

Perturbation Methods for Nonlinear PDEs - Lecture 3

Explore advanced perturbation techniques for nonlinear PDEs, focusing on multiple scales, asymptotic analysis, and the interplay between linear waves and nonlinearity in various scientific contexts.

• YouTube
• 1 hour 49 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

Perturbation Methods for Nonlinear PDEs - Lecture 4

Explore perturbation methods for nonlinear PDEs, focusing on shallow water waves and damped KDV models. Learn unified approaches to adapt linear equation techniques to nonlinear contexts.

• YouTube
• 1 hour 35 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

Perturbation Methods for Nonlinear PDEs - Lecture 2

Explore perturbation methods for nonlinear PDEs, focusing on nonlinear oscillators and periodic solutions. Learn techniques like inner products, perturbation series, and 2Pi periodicity to tackle complex equations.

• YouTube
• 1 hour 31 minutes
• On-Demand
• Free Video

ICTP Mathematics

Standard and Less Standard Asymptotic Methods - Lecture 4

Explore advanced techniques for evaluating infinite sums and recognizing asymptotic patterns in numerical sequences, with practical examples and applications in various mathematical fields.

• YouTube
• 1 hour 32 minutes
• On-Demand
• Free Video

Hausdorff Center for Mathematics

Asymptotic and Null Controllability of an Advection-Diffusion Equation

Explore asymptotic analysis and null controllability of advection-diffusion equations, focusing on boundary and internal layer interactions as diffusion parameter approaches zero.

• YouTube
• 50 minutes
• On-Demand
• Free Video

Fields Institute

New Techniques for the Resolution of Singularities of Vector Fields and Differential Operators

Explore advanced techniques for resolving singularities in vector fields and differential operators, covering localization, geometric theorems, and coordinate systems for complex mathematical analysis.

• YouTube
• 1 hour 44 minutes
• On-Demand
• Free Video

BIMSA

Asymptotic-Preserving Schemes for Multiscale Physical Problems

Discover asymptotic-preserving numerical schemes for solving complex multiscale physical problems with computational efficiency and accuracy.

• YouTube
• 1 hour 5 minutes
• On-Demand
• Free Video

NPTEL-NOC IITM

Boundary Layer Theory - Blasius Similarity Solutions and Drag Calculation - V

Master Blasius similarity solutions for boundary layer analysis, numerical procedures, asymptotic techniques, and drag force calculations on flat plates.

• YouTube
• 53 minutes
• On-Demand
• Free Video

Data Structures & Algorithms III: AVL and 2-4 Trees, Divide and Conquer Algorithms

7 reviews

Explore advanced data structures like AVL and 2-4 trees, and dive into sorting algorithms including iterative and divide-and-conquer methods. Gain practical skills in implementing and analyzing efficient algorithms.

• edX
• 5 weeks, 9-10 hours a week
• On-Demand
• Free Online Course (Audit)

Fields Institute

Cyclic Stochastic Fluid Flows with Time-Varying Generator - Asymptotic Periodic Analysis

Explore asymptotic periodic analysis of cyclic stochastic fluid flows featuring time-varying generators in this advanced mathematical presentation.

• YouTube
• 22 minutes
• On-Demand
• Free Video