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Numerical methods for partial differential equations
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Related lectures (30)
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Design of a Detention Basin
Covers the design of a detention basin to protect a damage center from large floods.
Neutron Diffusion Equation: Numerical Methods
Covers numerical methods for solving the neutron diffusion equation and addressing heterogeneous effects in thermal reactors.
Other Topics: Techniques for Fluid Interfaces
Explores numerical methods for fluid dynamics and techniques for handling fluid interfaces.
Euler Forward Method
Introduces the Euler Forward Method for ODEs, focusing on error analysis and stability.
Finite Element Method: Basics and Applications
Introduces the Finite Element Method for solving PDEs and demonstrates its application through examples and Comsol Multiphysics.
Numerical Solution Methods
Covers numerical solution methods for dynamics and kinetics using stochastic methods.
Verification and validation
Covers the verification and validation process in numerical flow simulation, ensuring credibility of simulation outcomes.
Introduction to Ordinary Differential Equations
Introduces ordinary differential equations, their order, numerical solutions, and practical applications in various scientific fields.
Error Estimation in Numerical Methods
Explores error estimation in numerical methods for solving ordinary differential equations, emphasizing the impact of errors on solution accuracy and stability.
Numerical Integration: Romberg Integration
Explores Romberg integration to improve numerical integration accuracy through iterative refinement of estimates.