Numerical Analysis Courses and Certifications

Hausdorff Center for Mathematics

Adaptive Numerical Solution Methods for PDEs

Explore adaptive methods for PDEs, including error estimation, vertex bisection, and finite element techniques, enhancing numerical solutions for complex mathematical problems.

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

Hausdorff Center for Mathematics

Adaptive Wavelet Methods and Applications

Explore adaptive wavelet methods for solving complex PDEs, including tensor product approximation and reformulation techniques for optimal solutions in various domains.

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

ICTP Mathematics

Standard and Less Standard Asymptotic Methods - Lecture 8

Explore advanced asymptotic methods for evaluating infinite sums and recognizing sequence patterns. Learn techniques like Euler-Maclaurin formula and less standard approaches with practical examples.

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

Institute for Pure & Applied Mathematics (IPAM)

Recovering Small Molecular Structures Using Cryo-EM - IPAM at UCLA

Explores innovative computational frameworks for recovering small molecular structures using cryo-EM, challenging conventional limitations and bypassing particle picking for enhanced structural determination.

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

Institute for Pure & Applied Mathematics (IPAM)

Numerical Analysis - Binary Neutron Stars - IPAM at UCLA

Explore numerical modeling of binary neutron star mergers, covering hydrodynamics, MHD equations, and simulation methods. Learn about gravitational waves, gamma-ray bursts, and r-process elements.

• YouTube
• 1 hour 17 minutes
• On-Demand
• Free Video

Let's Code Physics

Square Roots with an Abacus

Explore the fascinating process of calculating the square root of 2 using an abacus, blending ancient techniques with modern mathematical concepts.

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

Banach Center

Improvement of Newton's Method

Explore advanced techniques to enhance Newton's Method, focusing on optimization and convergence strategies for solving nonlinear equations efficiently.

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

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Fully Discrete Approximation Schemes for Rate-Independent Crack Propagation

Explore convergence analysis of space-time discrete approximation schemes for rate-independent crack propagation in brittle elastic bodies, focusing on Griffith fracture criterion and local energy minimizers.

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

NPTEL-NOC IITM

Method of Lines for Hyperbolic PDEs

Explore the Method of Lines technique for solving hyperbolic partial differential equations, enhancing your understanding of numerical methods in applied mathematics.

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

NPTEL-NOC IITM

Floating Point Numbers: Double, Extended, and Half Precision - Lecture 4

Explore double, extended, and half precision floating point numbers, understanding their limitations and applications in numerical computations.

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

Hausdorff Center for Mathematics

Numerical Multiscale Methods for Nonlinear and Randomly Perturbed Problems

Explore efficient numerical methods for complex multiscale problems, including nonlinear systems and random perturbations, using Localized Orthogonal Decomposition techniques.

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

Hausdorff Center for Mathematics

On the Completeness of Interpolation Algorithms

Explore mathematical interpolation algorithms, their completeness, and applications in computational mathematics with insights from recent research publications.

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

Gautam Varde

Secant Method and Chord Method for Finding Roots of Equations - Numerical Solutions

Master numerical solutions for finding equation roots using Secant and Chord methods, with practical applications in engineering and mathematical problem-solving.

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

Gautam Varde

Regula Falsi Method: Finding Roots Using the False Position Method

Master the Regula Falsi Method for finding roots of equations through practical numerical solutions and step-by-step examples suitable for engineering and computer science students.

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

Gautam Varde

Bisection Method for Finding Roots of Algebraic and Transcendental Equations - Numerical Solutions

Master the bisection method for finding roots of algebraic and transcendental equations through practical numerical solutions and step-by-step examples.

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