Asymptotic Analysis Courses and Certifications

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

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

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

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

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

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

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
• Free Online Course (Audit)

Analytic Combinatorics

65 ratings at Coursera

Explore precise quantitative predictions of large combinatorial structures through symbolic methods, generating functions, and complex analysis for deriving accurate asymptotics.

• Coursera
• 17 hours
• On-Demand
• Free Online Course (Audit)

Capstone: Analyzing (Social) Network Data

99 ratings at Coursera

Analyze social networks to uncover influential members, sub-communities, and connections. Apply graph algorithms and data structures to explore real-world network data and showcase findings through a video presentation.

• Coursera
• 17 hours 49 minutes
• On-Demand
• Free Online Course (Audit)

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

5 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)

NPTEL;  IIT Kharagpur

Introduction to Algorithms and Analysis

1 review

Comprehensive exploration of algorithmic concepts, from sorting and analysis to advanced data structures and graph algorithms, emphasizing practical implementation and theoretical foundations.

• YouTube
• 1 day 5 hours
• On-Demand
• Free Video

Alan Turing Institute

Solving Private Set Intersection via Cuckoo Hashing - Benny Pinkas, Bar-Ilan University, Israel

Explore private set intersection protocols, including custom and generic MPC approaches, with a focus on Cuckoo hashing for efficient computation of PSI variants in cryptography and security.

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

Fields Institute

Hilbert's 16th Problem and O-Minimality - Lecture 1

Explore the topology of cycles, limit cycles, and related mathematical concepts in this advanced graduate-level lecture on Hilbert's 16th problem and o-minimality.

• YouTube
• 1 hour 43 minutes
• On-Demand
• Free Video