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Lecture
Computing Minimal Surfaces
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Related lectures (27)
Minimal Surfaces and Discrete Differential Geometry
Explores minimal surfaces, curvature, Laplace-Beltrami operator, numerical solutions, Laplacian smoothing, diffusion flow, and time integration.
Minimal Surfaces: Analytic Examples
Explores minimal surfaces, their properties, history, classification based on curvature, and examples from the Minimal Surfaces Gallery.
Weingarten Application of Regular Surfaces
Covers the application of the Weingarten map on regular surfaces and the shape operator.
Hyperbolic Geometry
Introduces hyperbolic geometry, covering complete metric spaces, isometries, and Gaussian curvature in dimension 2.
Numerical Analysis: Stability in ODEs
Covers the stability analysis of ODEs using numerical methods and discusses stability conditions.
Thomas algorithm, accuracy of direct methods
Explores the Thomas algorithm for tridiagonal systems and the accuracy of direct methods in numerical computations.
Discrete Differential Geometry
Covers topics in discrete differential geometry, including differential operators, Laplace-Beltrami operator, functions on triangle meshes, and discrete curvatures.
Gothic Surfaces: Curvature, Development, and Stereotomy
Delves into the geometric principles of Gothic architecture, focusing on surface curvature and stereotomy techniques.
Surface & Curvature: TopSolid 7 - Education License
Explores surface and curvature concepts, focusing on TopSolid 7 software and its educational applications.
Numerical Modelling of the Atmosphere
Focuses on numerical modelling of atmospheric processes to predict weather and climate phenomena, covering key concepts and methods.
Surfaces with Variable Curvature
Explores surfaces with variable curvature, discussing their construction and properties.
Numerical Differentiation: Part 1
Covers numerical differentiation, forward differences, Taylor's expansion, Big O notation, and error minimization.
Curve Tracing: Minimal Surfaces
Explores minimal surfaces and asymptotic lines on curved surfaces.
Surfaces with Constant Curvature
Explores surfaces with constant curvature, emphasizing the significance of minimal oriented radius and the properties of pseudo-spheres.
Plates II: Mechanics of Slender Structures
Explores the mechanics of slender structures, discussing plate evaluation, bending energy, and curvature tensors.
Differential Geometry: Parametric Curves & Surfaces
Introduces the basics of differential geometry for parametric curves and surfaces, covering curvature, tangent vectors, and surface optimization.
System of ODEs
Explores numerical methods for solving ODE systems, stability regions, and absolute stability importance.
Gaussian Curvature in Plates
Explores Gaussian curvature, principal curvatures, and nonlinear strain in thin elastic plates.
ODEs: Introduction and Solutions
Covers Ordinary Differential Equations, first-order solutions, and numerical methods for IVP and BVP.
Principal Curvatures: Gaussian Curvature
Explores principal curvatures and Gaussian curvature in the context of minimal surfaces, demonstrating their real-world applications.
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