Covers the derivation of the equation of motion, interpolation, Newton's equation, and energy conservation in finite element modeling.
Covers the Finite Element Method, discussing the derivation of the equation of motion and exploring mass and stiffness matrices.
Covers advanced numerical analysis topics including deep neural networks and optimization methods.
Covers gradient line search methods and optimization techniques with an emphasis on Wolfe conditions and positive definiteness.
Covers the fundamentals of finite element analysis, including traction and interpolation functions.
Covers the fundamentals of finite element analysis and the application of constitutive laws.
Covers optimization methods without constraints, including gradient and line search in the quadratic case.
Explores turbulence characteristics, simulation methods, and modeling challenges, providing guidelines for choosing and validating turbulence models.
Covers the Runge Kutta method and its application to optimal control and neural networks.
Covers finite element methods for solving diffusion problems in porous media, including meshing, interpolation, and weighted residuals.
Covers continuous spatial phenomena and isovalues in geographic information systems, including interpolation methods and examples of isovalues curves for various environmental factors.
