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NPTEL

Structural Dynamics

2 rewiews
The objective of the course is to understand the behavior of structures especially building to various dynamic loads: such as wind, earthquake, machine vibration and ambient vibration.
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67 Lesons
12 hours
On-Demand
Free-Video
NPTEL

Computational Fluid Dynamics and Heat Transfer

2 rewiews
Explore advanced techniques in fluid dynamics and heat transfer simulation, enhancing engineering skills for complex system analysis and design optimization.
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27 Lesons
23 hours
On-Demand
Free-Video
Massachusetts Institute of Technology

Engineering Mathematics: Linear Algebra and ODEs, Fall 2014

0 rewiews
Explore linear algebra and ODEs, covering numerical solutions for equation systems. Learn first and second-order equations with renowned instructor Gilbert Strang.
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4 Lesons
5 hours
On-Demand
Free-Video
University of Washington

Engineering Mathematics

0 rewiews
Explora matemáticas avanzadas en ingeniería mecánica, desde ODEs y sistemas dinámicos hasta transformadas de Fourier y Laplace, con aplicaciones prácticas en Matlab y análisis de sistemas no lineales.
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59 Lesons
1 day 23 hours
On-Demand
Free-Video
NPTEL

Computational Fluid Dynamics

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This course provides an introduction to Computational Fluid Dynamics (CFD) with an emphasis on the fundamental principles that govern the implementation of CFD in practical applications.
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43 Lesons
1 day 18 hours
On-Demand
Free-Video
NPTEL

Structural Dynamics

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Comprehensive exploration of structural dynamics, covering single and multi-degree freedom systems, vibration analysis, and earthquake response for various structures.
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38 Lesons
1 day 10 hours
On-Demand
Free-Video
NPTEL

Computational Fluid Dynamics

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Comprehensive exploration of computational fluid dynamics, covering mathematical foundations, discretization methods, and numerical techniques for solving fluid flow problems.
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61 Lesons
1 day 7 hours
On-Demand
Free-Video
NPTEL

Computational Fluid Dynamics

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This course looks at all the aspects theoretical, numerical, and application aspects of computational fluid dynamics. Computational fluid dynamics (CFD) has become an essential tool in the analysis and design of thermal and fluid flow systems in a wide r…
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43 Lesons
1 day 13 hours
On-Demand
Free-Video
NPTEL

Computational Fluid Dynamics

0 rewiews
The course deals with the numerical solution of equations governing fluid flow and would be of interest to engineers and scientists. The course deals with the basic techniques that enable the numerical solution of these equations.
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62 Lesons
1 day 7 hours
On-Demand
Free-Video
NPTEL

Foundation of Computational Fluid Dynamics

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Comprehensive exploration of computational fluid dynamics fundamentals, covering essential concepts and techniques over 8 weeks through structured modules and practical applications.
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45 Lesons
18 hours
On-Demand
Free-Video
NPTEL

Computational Fluid Dynamics for Incompressible Flows

0 rewiews
Explore incompressible flow dynamics through finite difference and volume methods. Master equations, boundary conditions, and numerical techniques for solving fluid dynamics problems.
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38 Lesons
1 day 5 hours
On-Demand
Free-Video
The Julia Programming Language

QSS: A Solver for Large Sparse Stiff Discontinuous Systems

0 rewiews
Explore a conference talk on QSS (Quantized State System), a solver designed for large sparse stiff discontinuous systems. Delve into the fundamental differences between classic methods and QSS algorithms, focusing on the concept of quantum Δ and its rol…
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1 Lesons
32 minutes
On-Demand
Free-Video
Fields Institute

A Kinetic-Hydrodynamic Coupling Method for Self-Interacting Dark Matter (SIDM)

0 rewiews
Explore a cutting-edge kinetic-hydrodynamic coupling method for Self-Interacting Dark Matter (SIDM) in this 26-minute conference talk by Sarah Schon from The Pennsylvania State University. Delve into the latest advancements in dark matter research and ga…
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1 Lesons
26 minutes
On-Demand
Free-Video
The Julia Programming Language

RayTraceHeatTransfer.jl: 2D Enclosure Radiative Heat Transfer - JuliaCon 2024

0 rewiews
Explore radiative heat transfer in 2D enclosures using RayTraceHeatTransfer.jl. Master Monte Carlo ray tracing, Exchange Factor matrices, and the Zonal Method for efficient problem-solving in high-temperature environments and engineering applications.
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1 Lesons
12 minutes
On-Demand
Free-Video
NPTEL

Foundation of Scientific Computing

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Explore the fundamentals of scientific computing through a comprehensive series of lectures, covering essential concepts and techniques for computational problem-solving in scientific research.
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24 Lesons
1 day
On-Demand
Free-Video
NPTEL

Optimal Control, Guidance and Estimation

0 rewiews
Comprehensive exploration of optimal control theory, guidance systems, and estimation techniques for aerospace applications, covering LQR, dynamic programming, and Kalman filters.
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40 Lesons
1 day 15 hours
On-Demand
Free-Video
NPTEL

Advanced Control System Design for Aerospace Vehicles

0 rewiews
Comprehensive exploration of advanced control systems for aerospace vehicles, covering classical and modern techniques, flight dynamics, optimization, and adaptive designs for enhanced aircraft performance.
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40 Lesons
1 day 14 hours
On-Demand
Free-Video

A Second Course in Differential Equations

0 rewiews
Explore advanced topics in ordinary differential equations, including linear systems, eigenvalues, numerical methods, and Python implementations for solving complex ODEs.
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38 Lesons
5 hours
On-Demand
Free-Video

Scientific Computing I

0 rewiews
Explore scientific computing through Python, covering numerical methods, data analysis, and machine learning, with practical applications in physics and mathematics.
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22 Lesons
6 hours
On-Demand
Free-Video
Krista King

Euler’s Method - How to Use It

0 rewiews
Comprehensive guide to Euler's method for approximating solutions to differential equations, covering its application, methodology, limitations, accuracy, and error analysis.
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9 Lesons
39 minutes
On-Demand
Free-Video
The Julia Programming Language

Adventures in Computing - From Punch Cards to Differential Equations

0 rewiews
Prof Linda Petzold explores her journey in computational science, from punch cards to modern differential equations, highlighting key developments in numerical methods, stochastic simulations, and their applications in various fields.
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24 Lesons
50 minutes
On-Demand
Free-Video
Steve Brunton

Stability of Forward Euler and Backward Euler Integration Schemes for Differential Equations

0 rewiews
Explore stability of Forward and Backward Euler integration schemes for differential equations through eigenvalue analysis, covering continuous and discrete dynamics, scalar and matrix systems.
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6 Lesons
33 minutes
On-Demand
Free-Video
3Blue1Brown

Winding Numbers and Domain Coloring

0 rewiews
Explore winding numbers and domain coloring to solve 2D equations numerically. Learn about graphing techniques, color mapping, and applications in complex analysis.
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13 Lesons
25 minutes
On-Demand
Free-Video
Australian Water School

Advances in Flood Consequence Assessments

0 rewiews
Explore advanced flood consequence assessment tools for predicting damage, optimizing evacuation, and estimating loss of life. Learn from experts about numerical methods aiding proactive flood management decisions.
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20 Lesons
55 minutes
On-Demand
Free-Video
Institute for Advanced Study

Astrophysical Fluid Dynamics - James Stone

0 rewiews
Explore astrophysical fluid dynamics with Prof. James Stone, covering mathematical models, numerical methods, and future research in this fascinating field of study.
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19 Lesons
1 hour 11 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Machine Learning to Enhance Numerical PDE Simulations

0 rewiews
Explore machine learning techniques to enhance numerical PDE simulations, focusing on acceleration, surrogate modeling, and improved physical representation for complex physics and engineering systems.
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1 Lesons
1 hour 17 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Um Breve Passeio pelas Equações Diferenciais Parciais

0 rewiews
Explore os fundamentos e aplicações das Equações Diferenciais Parciais, abordando conceitos-chave e sua importância na modelagem matemática de fenômenos complexos.
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1 Lesons
41 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Circumcenter Method for Solving the Variational Inequality Problem

0 rewiews
Explore o método do circuncentro para resolver problemas de desigualdade variacional, abordando operadores paramonótonos e monótonos com base em técnicas de extragradiente e subgradiente.
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1 Lesons
1 hour 27 minutes
On-Demand
Free-Video
ICTP-SAIFR

Numerical Methods - Class 2 of 4

0 rewiews
Explore numerical methods for modeling infectious diseases, focusing on advanced techniques and practical applications in epidemiology.
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1 Lesons
1 hour 29 minutes
On-Demand
Free-Video
ICTP-SAIFR

Numerical Methods - Class 1 of 4

0 rewiews
Explore numerical methods for modeling infectious diseases, focusing on fundamental techniques and their applications in epidemiology.
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1 Lesons
1 hour 28 minutes
On-Demand
Free-Video
ICTP-SAIFR

Computational Methods for Simulating and Analyzing Population Dynamics - Class 19

0 rewiews
Explore computational methods for simulating and analyzing population dynamics, including density, numerical solutions, aging, and diffusion.
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9 Lesons
1 hour 13 minutes
On-Demand
Free-Video
ICTP-SAIFR

Computational Methods for Simulating and Analyzing Ecological Systems - Class 20

0 rewiews
Explore computational methods for simulating and analyzing ecological systems. Learn equilibrium solutions, differential equations, and Python applications in quantitative ecology.
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18 Lesons
1 hour 22 minutes
On-Demand
Free-Video
Banach Center

Theoretical and Numerical Approach to Lyapunov Exponents of Skew-Product Semiflows

0 rewiews
Explore Lyapunov exponents in skew-product semiflows through theoretical and numerical approaches, enhancing understanding of dynamical systems.
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1 Lesons
25 minutes
On-Demand
Free-Video
Banach Center

Global Approximation of SDEs Driven by Countably Dimensional Wiener Process

0 rewiews
Zgłęb globalne przybliżenie równań różniczkowych stochastycznych napędzanych przeliczalnie wymiarowym procesem Wienera.
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1 Lesons
27 minutes
On-Demand
Free-Video
Banach Center

Numerical Methods for Nonlocal and Nonlinear Parabolic Equations with Applications in Hydrology and Climatology

0 rewiews
Odkryj metody numeryczne dla nieliniowych równań parabolicznych i ich zastosowania w hydrologii i klimatologii.
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1 Lesons
41 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

On the Hunt for Chirps - Part I

0 rewiews
Explorez les méthodes d'analyse harmonique pour détecter et classifier les comportements oscillatoires spécifiques dans les signaux, avec applications en turbulence, ondes gravitationnelles et données physiologiques.
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1 Lesons
1 hour 8 minutes
On-Demand
Free-Video
CdoGEO of Kazan Federal University

29.05.2023 - Гидродинамическое моделирование

0 rewiews
Изучите основы гидродинамического моделирования для повышения эффективности в нефтегазовой отрасли. Освойте ключевые концепции и практические навыки.
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1 Lesons
4 hours 19 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Curiosities and Counterexamples in Smooth Convex Optimization

0 rewiews
Explore counterexamples and curiosities in smooth convex optimization, focusing on key concepts and unique aspects of this mathematical field.
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1 Lesons
36 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Numerical Methods for PDEs - Class 16

0 rewiews
Explore advanced numerical methods for solving partial differential equations, focusing on techniques applicable to complex mathematical problems in various scientific fields.
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1 Lesons
1 hour 28 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Numerical Methods for PDEs - Class 22

0 rewiews
Aprofunde-se em métodos numéricos avançados para equações diferenciais parciais, explorando técnicas e aplicações em nível de doutorado.
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1 Lesons
1 hour 1 minute
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Numerical Methods for PDEs - Class 21

0 rewiews
Explore advanced numerical methods for solving partial differential equations in this doctoral-level lecture, focusing on cutting-edge techniques and applications in mathematical modeling.
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1 Lesons
1 hour 15 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Numerical Methods for PDEs - Class 20

0 rewiews
Explore advanced numerical methods for solving partial differential equations in this doctoral-level lecture, focusing on cutting-edge techniques and applications in mathematical modeling.
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1 Lesons
1 hour 23 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Numerical Methods for PDEs - Class 19

0 rewiews
Explore advanced numerical methods for solving partial differential equations, focusing on techniques applicable to complex mathematical problems in doctoral-level research.
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1 Lesons
1 hour 17 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Numerical Methods for PDEs - Class 18

0 rewiews
Explore advanced numerical methods for solving partial differential equations in this doctoral-level lecture, focusing on cutting-edge techniques and applications in mathematical modeling.
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1 Lesons
1 hour 19 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Numerical Methods for PDEs - Class 17

0 rewiews
Explore advanced numerical methods for solving partial differential equations, focusing on complex mathematical techniques and their applications in doctoral-level research.
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1 Lesons
1 hour 24 minutes
On-Demand
Free-Video
Society for Industrial and Applied Mathematics

Stability and Discretization Techniques for Elliptic Inverse Parameter Problems in Elastography - Application to Breast Tumor Detection

0 rewiews
Explores stability and discretization techniques for elliptic inverse parameter problems in elastography, focusing on shear modulus recovery in biological tissues for breast tumor detection. Discusses theoretical challenges and practical solutions.
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26 Lesons
1 hour 8 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Two-Scale FEMs for Non-Variational Elliptic PDEs

0 rewiews
Explore advanced finite element methods for non-variational elliptic PDEs, focusing on two-scale approaches, monotonicity enforcement, and novel error estimation techniques for complex mathematical problems.
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1 Lesons
50 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

A Family of Crouzeix-Raviart Non-Conforming Finite Elements in Two- and Three Spatial Dimensions

0 rewiews
Explore non-conforming finite elements in 2D and 3D, focusing on Crouzeix-Raviart type. Learn about optimal a priori estimates, jump conditions, and explicit representations of local basis functions.
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1 Lesons
50 minutes
On-Demand
Free-Video
Society for Industrial and Applied Mathematics

Model Error in CT Reconstruction with Uncertain View Angles

0 rewiews
Explore innovative methods for handling model errors in inverse problems, focusing on CT reconstruction with uncertain view angles and improving image quality through uncertainty quantification.
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1 Lesons
1 hour 2 minutes
On-Demand
Free-Video
Alan Turing Institute

Iterative Stochastic Numerical Methods for Statistical Sampling

0 rewiews
Explore stochastic algorithms for Bayesian inference, blending molecular dynamics with data analytics. Learn innovative approaches to merge physical laws and data science in engineering applications.
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1 Lesons
59 minutes
On-Demand
Free-Video
Prof. Ryan C. Cooper

ME3255 - FEA Solutions and Visualizing Results

0 rewiews
Explore finite element analysis solutions and result visualization techniques for engineering applications. Enhance problem-solving skills in structural mechanics and design optimization.
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1 Lesons
32 minutes
On-Demand
Free-Video
Prof. Ryan C. Cooper

ME3255 - Wrapping Up and FEA Work in Python

0 rewiews
Explore finite element analysis in Python, focusing on practical applications and advanced techniques for mechanical engineering problems.
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1 Lesons
28 minutes
On-Demand
Free-Video
The Engineering Guide

ANSYS CFD Tutorial: Lid Driven Cavitation Simulation and Analysis

0 rewiews
Simulate and analyze lid-driven cavitation using ANSYS CFD, covering geometry setup, meshing, boundary conditions, and result validation through contours and streamlines.
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7 Lesons
29 minutes
On-Demand
Free-Video
NPTEL-NOC IITM

2D Finite Element Method: Matrix Assembly - Part 1

0 rewiews
Explore matrix assembly techniques for 2D Finite Element Method, focusing on fundamental concepts and practical applications in numerical analysis.
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1 Lesons
16 minutes
On-Demand
Free-Video
NPTEL-NOC IITM

Applications of Computational Electromagnetics: Finite Element-Boundary Integral - Part 2

0 rewiews
Explore advanced finite element-boundary integral techniques in computational electromagnetics, focusing on practical applications and problem-solving strategies.
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1 Lesons
12 minutes
On-Demand
Free-Video
NPTEL-NOC IITM

Applications of Computational Electromagnetics: Antennas - Pocklington's Integral Equation - Part 1

0 rewiews
Explore Pocklington's Integral Equation for antenna analysis in computational electromagnetics. Learn key concepts and applications in this introductory segment.
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1 Lesons
18 minutes
On-Demand
Free-Video
NPTEL-NOC IITM

Introduction to the Finite Element Method: 2D Basis Functions

0 rewiews
Explore 2D basis functions in finite element method. Learn key concepts and applications for advanced numerical analysis and engineering problem-solving.
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1 Lesons
20 minutes
On-Demand
Free-Video
NPTEL-NOC IITM

1D Finite Element Method: Matrix Assembly for 1D Wave Equation

0 rewiews
Explore matrix assembly techniques for the 1D Finite Element Method applied to the 1D Wave Equation, enhancing understanding of numerical solutions in computational physics.
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1 Lesons
14 minutes
On-Demand
Free-Video
NPTEL-NOC IITM

Applications of Computational Electromagnetics: Finite Element-Boundary Integral - Part 3

0 rewiews
Explore advanced finite element-boundary integral techniques in computational electromagnetics, focusing on practical applications and problem-solving strategies.
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1 Lesons
19 minutes
On-Demand
Free-Video
GERAD Research Center

Relaxations of the Best Response Algorithm in Ratio-Bounded Games

0 rewiews
Explore global convergence of affine relaxations in best response dynamics for ratio-bounded games. Learn numerical schemes to approach Nash equilibria and solve two-leader two-follower games.
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1 Lesons
46 minutes
On-Demand
Free-Video
Banach Center

How Math Can Help with Engineering Problems

0 rewiews
Odkryj, jak matematyka rozwiązuje problemy inżynieryjne, wykorzystując zaawansowane metody i narzędzia do analizy złożonych systemów technicznych.
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1 Lesons
26 minutes
On-Demand
Free-Video
BUOG SPE Student Chapter

Reservoir Simulation - Part 4 of 5

0 rewiews
Explore advanced reservoir simulation techniques, focusing on complex modeling and analysis for enhanced oil and gas recovery strategies.
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1 Lesons
2 hours 9 minutes
On-Demand
Free-Video
Inside Livermore Lab

Continuous Interior Penalty Method Framework for 6th Order Cahn-Hilliard Equations

0 rewiews
Explore unconditionally stable numerical methods for sixth-order Cahn-Hilliard equations, focusing on crystal growth and microemulsion systems. Gain insights into complex physical phenomena modeling.
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1 Lesons
1 hour 7 minutes
On-Demand
Free-Video
Society for Industrial and Applied Mathematics

Multivariate Portfolio Choice via Quantiles

0 rewiews
Explore multivariate portfolio optimization using quantiles, extending univariate approaches to solve complex financial problems and develop new numerical solutions for multivariate preferences.
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14 Lesons
58 minutes
On-Demand
Free-Video
Alan Turing Institute

Reduced Form Setting Under Model Uncertainty With Nonlinear Affine Intensities - Prof Francesca Biagini

0 rewiews
Explores reduced-form market models with financial assets and life insurance liabilities under model uncertainty, focusing on mortality intensities and longevity bonds. Discusses arbitrage-free pricing and contingent claims in this framework.
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21 Lesons
37 minutes
On-Demand
Free-Video
Fields Institute

Assessing Asset-Liability Risk and the Numerical Approximation of Conditional Expectations

0 rewiews
Explore asset-liability risk assessment and numerical approximation techniques for conditional expectations in quantitative finance, enhancing risk management skills.
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1 Lesons
52 minutes
On-Demand
Free-Video
Alan Turing Institute

Enhancing Scientific Computing Through Physics-Informed Neural Networks

0 rewiews
Explore physics-informed neural networks (PINNs) as an alternative to traditional scientific computation, addressing challenges in high-dimensional problems and incorporating noisy data in inverse problems.
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1 Lesons
1 hour 10 minutes
On-Demand
Free-Video
Insights into Mathematics

Newton's Method and Algebraic Curves - Real Numbers and Limits Math Foundations

0 rewiews
Explore Newton's method for algebraic curves, examining Fermat curves and Bernoulli's Lemniscate. Learn about Taylor expansions, tangent planes, and iterative techniques for approximating curve intersections.
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8 Lesons
30 minutes
On-Demand
Free-Video
Steve Brunton

Vectorized Integration and the Lorenz Equation

0 rewiews
Explore vectorized integration and the Lorenz equation, focusing on chaos, turbulence, and uncertainty in engineering mathematics, with practical MATLAB implementations.
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18 Lesons
48 minutes
On-Demand
Free-Video
Institute for Pure & Applied Mathematics (IPAM)

Uncertainty Quantification of Quantum Chemical Methods - IPAM at UCLA

0 rewiews
Explore uncertainty quantification in quantum chemistry, covering error estimation, benchmarking, and machine learning approaches for improved accuracy in computational methods.
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38 Lesons
42 minutes
On-Demand
Free-Video
Institute for Pure & Applied Mathematics (IPAM)

Approximate Matrix Eigenvalues, Subspace Iteration With Repeated Random Sparsification

0 rewiews
Explore efficient matrix eigenvalue approximation using subspace iteration and random sparsification, with applications in quantum chemistry and high-dimensional problems.
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17 Lesons
51 minutes
On-Demand
Free-Video
International Mathematical Union

Mathematical Analysis and Numerical Methods for Inverse Scattering Problems

0 rewiews
Explore mathematical analysis and numerical methods for inverse scattering problems, covering applications, challenges, algorithms, and recent progress in stability analysis and deep learning approaches.
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13 Lesons
46 minutes
On-Demand
Free-Video
North Carolina School of Science and Mathematics

Using Functions to Build Models - Math Teacher Professional Development

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Hands-on exploration of mathematical modeling using real-world problems, connecting concepts across Math I to Calculus. Focuses on function creation, domain analysis, and student engagement techniques.
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21 Lesons
57 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Convergent Semi-Lagrangian Methods for the Monge-Ampère Equation on Unstructured Grids

0 rewiews
Explores semi-Lagrangian discretisation of Monge-Ampère operator on P1 finite element spaces, discussing challenges and solutions for numerical methods in solving Monge-Ampère equations, with applications in inverse reflector problems.
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20 Lesons
46 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Axel Målqvist - Localization of Multiscale Problems

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Explore multiscale problem-solving techniques, focusing on Local Orthogonal Decomposition for PDEs. Learn about convergence, high-contrast data, and applications to time-dependent problems.
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16 Lesons
58 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Uncertainty Quantification for Kinetic Equations I

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Overview of uncertainty quantification for kinetic equations, covering Monte Carlo methods, multi-fidelity techniques, and stochastic Galerkin particle methods. Explores computational challenges and recent advancements in the field.
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13 Lesons
1 hour 4 minutes
On-Demand
Free-Video
Fields Institute

Structured -In-Feasibility- Nonmonotone Operator Splitting in Nonlinear Spaces

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Explore nonmonotone operator splitting in nonlinear spaces, covering optimization theory, convergence, and applications in harmonic analysis with Professor Russell Luke.
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22 Lesons
1 hour 4 minutes
On-Demand
Free-Video
Institute for Pure & Applied Mathematics (IPAM)

Numerical Methods for Scattering and Resonance Properties in Molecules and Solids

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Explore numerical methods for discretizing continuum states in electronic structure, addressing scattering, photo-ionization, and resonances. Learn efficient computational techniques with applications in condensed matter physics and chemistry.
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1 Lesons
40 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Uncertainty Quantification for Kinetic Equations II

0 rewiews
Explore uncertainty quantification for kinetic equations, focusing on Monte Carlo methods, multi-fidelity approaches, and stochastic Galerkin particle techniques to address high-dimensional challenges.
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1 Lesons
1 hour 3 minutes
On-Demand
Free-Video
NIOS

Numerical Methods

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Comprehensive exploration of numerical methods covering error analysis, linear systems, interpolation, differentiation, integration, and solving algebraic equations using various techniques.
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37 Lesons
1 day 6 hours
On-Demand
Free-Video
International Centre for Theoretical Sciences

Introduction to Theory and Numerics of Partial Differential Equations - Lecture 5

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Explore numerical methods for solving partial differential equations, focusing on techniques essential for gravitational wave astronomy and computational relativity.
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1 Lesons
1 hour 37 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Introduction to Theory and Numerics of Partial Differential Equations - Lecture 2

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Explore numerical methods for solving partial differential equations, focusing on techniques essential for gravitational wave astronomy and computational relativity.
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1 Lesons
1 hour 44 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Introduction to Theory and Numerics of Partial Differential Equations - Lecture 3

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Explore numerical methods for solving partial differential equations, focusing on techniques essential for gravitational wave astronomy and computational relativity.
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1 Lesons
1 hour 49 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Introduction to Theory and Numerics of Partial Differential Equations - Lecture 1

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Explore fundamental concepts and numerical techniques for solving partial differential equations, essential for modeling complex physical phenomena in gravitational-wave astronomy and astrophysics.
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1 Lesons
1 hour 43 minutes
On-Demand
Free-Video
Steve Brunton

Coding a Fourth-Order Runge-Kutta Integrator in Python and Matlab

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Learn to implement a 4th-order Runge-Kutta integrator in Python and Matlab, and apply it to simulate the chaotic Lorenz 1963 system. Gain practical coding skills for numerical integration.
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1 Lesons
37 minutes
On-Demand
Free-Video
Steve Brunton

Numerical Integration and Numerical Solutions to ODEs

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Explore numerical methods for integration and solving ordinary differential equations, enhancing your computational skills in engineering mathematics.
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1 Lesons
47 minutes
On-Demand
Free-Video
Let's Code Physics

Finite Differences and Successive Over Relaxation - Jupyter Notebook Assignment Development

0 rewiews
Explore finite differences and successive over-relaxation methods in computational physics through a guided Jupyter notebook project, enhancing problem-solving skills in numerical analysis.
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1 Lesons
22 minutes
On-Demand
Free-Video
Let's Code Physics

Jupyter Notebook Assignment - Runge-Kutta Method Development - Vlog 3

0 rewiews
Explore the Runge-Kutta Method in computational physics, comparing it with Euler-Cromer. Develop skills in numerical analysis and scientific computing using Jupyter Notebooks.
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1 Lesons
38 minutes
On-Demand
Free-Video
Society for Industrial and Applied Mathematics

Shape Optimization Approach for Sharp-Interface Reconstructions in Inverse Problems

0 rewiews
Shape optimization techniques for inverse problems: analyzing piecewise constant models, shape derivatives, and Lagrangian approaches. Applications in electrical impedance tomography and full waveform inversion.
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1 Lesons
1 hour 4 minutes
On-Demand
Free-Video
Society for Industrial and Applied Mathematics

Optimal Transport for Inverse Problems and Implicit Regularization

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Exploring optimal transport theory for inverse problems, addressing nonconvexity and noise sensitivity in least-squares methods, with applications in industry and broader data-fitting challenges.
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1 Lesons
1 hour 11 minutes
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Society for Industrial and Applied Mathematics

Mathematical Framework and Numerical Aspects of Adapted Optimal Transport

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Explore mathematical frameworks for transfer learning and numerical aspects of adapted optimal transport in financial mathematics and engineering through expert talks from leading researchers.
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1 Lesons
1 hour 7 minutes
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Alan Turing Institute

Probabilistic Numerical Computation - A New Concept?

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Explore probabilistic numerics, a new field combining mathematics, statistics, and computer science to quantify uncertainty in numerical methods for complex data analysis and modeling.
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1 Lesons
1 hour 1 minute
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Alan Turing Institute

Langevin Monte Carlo: Randomized Midpoint Method Revisited

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Explore advanced Langevin Monte Carlo techniques, focusing on the Randomized Midpoint method's superior sampling error guarantees and recent improvements for high-dimensional target distributions.
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1 Lesons
39 minutes
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Simons Institute

Instance Optimal Iterative Methods for Matrix Function Approximation

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Explores instance-optimality of Lanczos method for matrix function approximation, extending conjugate gradient analysis to rational and other function classes. Discusses recent progress and open questions.
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1 Lesons
32 minutes
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Hausdorff Center for Mathematics

Numerical Approach to Polylogarithms on Higher-Genus Riemann Surfaces

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Explore numerical evaluation of polylogarithms on genus-two Riemann surfaces using Schottky parametrization and averaging over genus-one differential forms, advancing particle physics research.
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1 Lesons
1 hour 4 minutes
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Institute for Pure & Applied Mathematics (IPAM)

Conservative Adaptive Rank Integrators for Nonlinear Kinetic Models

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Explore low-rank time integrators for PDEs, including explicit and implicit schemes, with applications to Vlasov, heat, Fokker-Planck, and advection-diffusion equations.
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1 Lesons
49 minutes
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Institute for Pure & Applied Mathematics (IPAM)

Solving High-Dimensional Optimal Control Problems with Empirical Tensor Train Approximation

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Explore innovative approaches to solve high-dimensional optimal control problems using Tensor Train approximation, with applications to destabilized viscous Burgers and diffusion equations.
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1 Lesons
47 minutes
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International Centre for Theoretical Sciences

Introduction to Theory and Numerics of Partial Differential Equations - Lecture 4

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Explore advanced concepts in partial differential equations, focusing on theory and numerical methods for solving complex mathematical problems in physics and engineering.
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1 Lesons
1 hour 34 minutes
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International Centre for Theoretical Sciences

High Resolution Shock Capturing Scheme for Non-Relativistic Hydrodynamics - Lecture 2

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Explore advanced numerical techniques for modeling shock waves in non-relativistic fluid dynamics, enhancing understanding of complex hydrodynamic phenomena in astrophysical simulations.
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1 Lesons
1 hour 36 minutes
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Fields Institute

A Numerical Toolkit for the Likelihood Correspondence

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Explore numerical methods for analyzing likelihood correspondences in statistical models, focusing on applications in enumerative geometry and algebraic statistics.
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1 Lesons
58 minutes
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