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Published by: Massachusetts Institute of Technology | Language: English
Published by: Massachusetts Institute of Technology | Language: English
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16.225 is a graduate level course on Computational Mechanics of Materials. The primary focus of this course is on the teaching of state-of-the-art numerical methods for the analysis of the nonlinear continuum response of materials. The range of material behavior considered in this course includes: linear and finite deformation elasticity, i
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Tag(s):
- aeronautics and astronautics
- computational mechanics
- computation
- mechanics
- materials
- numerical methods
- numerical
- nonlinear continuum response
- continuum
- deformation
- elasticity
- inelasticity
- dynamics
- variational formulation
- variational constitutive updates
- finite element
- discretization
- error estimation
- constrained problems
- time integration
- convergence a
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Published by: Massachusetts Institute of Technology | Language: English
Published by: Massachusetts Institute of Technology | Language: English
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This course serves as an introduction to computational techniques arising in aerospace engineering. Applications are drawn from aerospace structures, aerodynamics, dynamics and control, and aerospace systems. Techniques include: numerical integration of systems of ordinary differential equations; finite-difference, finite-volume, and finite
Author(s):
Tag(s):
- aeronautics and astronautics
- numerical integration
- odes
- ordinary differential equations
- finite difference
- finite volume
- finite element
- discretization
- pdes
- partial differential equations
- numerical linear algebra
- probabilistic methods
- optimization
- omputational methods
- aerospace engineering
- computational methods
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Published by: Massachusetts Institute of Technology | Language: English
Published by: Massachusetts Institute of Technology | Language: English
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This course teaches simple reasoning techniques for complex phenomena: divide and conquer, dimensional analysis, extreme cases, continuity, scaling, successive approximation, balancing, cheap calculus, and symmetry. Applications are drawn from the physical and biological sciences, mathematics, and engineering. Examples include bird and mach
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Tag(s):
- electrical engineering and computer science
- approximation
- science
- engineering
- managing complexity
- divide and conquer
- heterogeneous hierarchies
- homogeneous hierarchies
- proportional reasoning
- conservation/box models
- dimensional analysis
- special cases
- extreme cases
- discretization
- spring models
- symmetry
- invariance
- discarding information
- oil imports
- tree representations
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Published by: Massachusetts Institute of Technology | Language: English
Published by: Massachusetts Institute of Technology | Language: English
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This course teaches the art of guessing results and solving problems without doing a proof or an exact calculation. Techniques include extreme-cases reasoning, dimensional analysis, successive approximation, discretization, generalization, and pictorial analysis. Applications include mental calculation, solid geometry, musical intervals, lo
Author(s):
Tag(s):
- mathematics
- extreme-cases reasoning
- dimensional analysis
- discretization
- drag
- fluid mechanics
- pendulum
- pictorial proofs
- analogy
- operators
- summation
- square roots
- logarithms
- musical intervals
- taking out the big part
- integration
- differentiation
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