Programming for Engineers: MATLAB Integration and Differentiation

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Related lectures (49)

Numerical Integration: Euler Method Log in to Mediaspace to watch this video

Covers the progressive Euler method for numerical integration of ODEs, including Cauchy problems and Runge-Kutta methods.

Error Estimation in Numerical Methods Log in to Mediaspace to watch this video

Explores error estimation in numerical methods for solving differential equations, focusing on local truncation error, stability, and Lipschitz continuity.

System of ODEs Log in to Mediaspace to watch this video

Explores numerical methods for solving ODE systems, stability regions, and absolute stability importance.

Elasto-Gravity Bending: Energy and Equilibrium Log in to Mediaspace to watch this video

Explores elasto-gravity bending in thin sheets, covering bending energy, equilibrium shapes, and numerical methods.

Differential Equations: Speed Variation Analysis Log in to Mediaspace to watch this video

Covers the analysis of speed variation using differential equations and small time intervals.

Elasto-gravity Bending: Mechanics of Slender Structure Log in to Mediaspace to watch this video

Explores the deformations of an inextensible sheet bent under self-weight and its equilibrium shapes under gravity.

Inverse Monotonicity: Stability and Convergence Log in to Mediaspace to watch this video

Explores inverse monotonicity in numerical methods for differential equations, emphasizing stability and convergence criteria.

Matlab: 3D Surface Plotting Log in to Mediaspace to watch this video

Covers logical arrays, 3D surface plotting, parametric curves, interpolation, and fitting in Matlab.

Introduction to Ordinary Differential Equations Log in to Mediaspace to watch this video

Introduces ordinary differential equations, their order, numerical solutions, and practical applications in various scientific fields.

Radiative Exchange: Specular View Factors Log in to Mediaspace to watch this video

Covers specular view factors, radiative exchange, energy transfer, and numerical integration methods in thermal radiation.

Numerical Analysis: Jupyter Notebook Tutorial Log in to Mediaspace to watch this video

Covers course organization, Jupyter Notebook for Python experimentation, algorithms, interpolation, solving equations, linear systems, and practical applications.

Vibratory Mechanics: Continuous Systems Log in to Mediaspace to watch this video

Explores vibratory mechanics in continuous systems, covering separation of variables, boundary conditions, and harmonic solutions.

Convolution Product: Radioactive Exchange Log in to Mediaspace to watch this video

Explores the convolution product with examples of radioactive exchange and inversion formulas.

Differential Equations and System Composition Log in to Mediaspace to watch this video

Covers Laplace transform for LTI systems and system composition.

Poincare Inequality: Continuity and Weak Formulations Log in to Mediaspace to watch this video

Explores Poincare inequality, continuity, and weak formulations in solving differential equations.

Ordinary Differential Equations Log in to Mediaspace to watch this video

Introduces first-order scalar differential equations, higher-order equations, global solutions, and the selection process for equations.

Euler-Lagrange Equation: Convexity and Saddle Point Problems Log in to Mediaspace to watch this video

Explores the Euler-Lagrange equation, convexity, and saddle point problems in variational calculus.

Behavior of Trajectories Log in to Mediaspace to watch this video

Explores the behavior of trajectories in differential equations, focusing on asymptotic behavior and solution uniqueness.

Numerics for Fluids, Structures & Electromagnetics Log in to Mediaspace to watch this video

Covers numerics for fluids, structures, and electromagnetics, emphasizing the importance of eigenvalues and eigenfunctions.

Iterative Methods for Nonlinear Equations Log in to Mediaspace to watch this video

Explores iterative methods for solving nonlinear equations, discussing convergence properties and implementation details.

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