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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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- 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
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- 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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A presentation of the fundamentals of modern numerical techniques for a wide range of linear and nonlinear elliptic, parabolic and hyperbolic partial differential equations and integral equations central to a wide variety of applications in science, engineering, and other fields. Topics include: Mathematical Formulations; Finite Difference
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- aeronautics and astronautics
- numerical methods
- differential equations
- linear
- nonlinear
- elliptic
- parabolic
- hyperbolic
- partial differential equations
- integral equations
- mathematical formulations
- mathematics
- finite difference
- finite volume
- discretisation
- finite element
- boundary element
- iteration
File: 16-901-spring-2005.zip
This OER is part of OCW: Computational Methods in Aerospace Engineering
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Inherited 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
File: 16-920j-spring-2003.zip
This OER is part of OCW: Numerical Methods for Partial Differential Equations (SMA 5212)
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Inherited Tag(s):
- aeronautics and astronautics
- numerical methods
- differential equations
- linear
- nonlinear
- elliptic
- parabolic
- hyperbolic
- partial differential equations
- integral equations
- mathematical formulations
- mathematics
- finite difference
- finite volume
- discretisation
- finite element
- boundary element
- iteration
File: 16-225-fall-2003.zip
This OER is part of OCW: Computational Mechanics of Materials
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Inherited 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
File: ps3.pdf
This OER is part of OCW: Numerical Methods for Partial Differential Equations (SMA 5212)
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Inherited Tag(s):
- aeronautics and astronautics
- numerical methods
- differential equations
- linear
- nonlinear
- elliptic
- parabolic
- hyperbolic
- partial differential equations
- integral equations
- mathematical formulations
- mathematics
- finite difference
- finite volume
- discretisation
- finite element
- boundary element
- iteration
File: ps1.pdf
This OER is part of OCW: Numerical Methods for Partial Differential Equations (SMA 5212)
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OCW Authors:
Inherited Tag(s):
- aeronautics and astronautics
- numerical methods
- differential equations
- linear
- nonlinear
- elliptic
- parabolic
- hyperbolic
- partial differential equations
- integral equations
- mathematical formulations
- mathematics
- finite difference
- finite volume
- discretisation
- finite element
- boundary element
- iteration
File: ps2.pdf
This OER is part of OCW: Numerical Methods for Partial Differential Equations (SMA 5212)
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Inherited Tag(s):
- aeronautics and astronautics
- numerical methods
- differential equations
- linear
- nonlinear
- elliptic
- parabolic
- hyperbolic
- partial differential equations
- integral equations
- mathematical formulations
- mathematics
- finite difference
- finite volume
- discretisation
- finite element
- boundary element
- iteration
File: ps4.pdf
This OER is part of OCW: Numerical Methods for Partial Differential Equations (SMA 5212)
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OCW Authors:
Inherited Tag(s):
- aeronautics and astronautics
- numerical methods
- differential equations
- linear
- nonlinear
- elliptic
- parabolic
- hyperbolic
- partial differential equations
- integral equations
- mathematical formulations
- mathematics
- finite difference
- finite volume
- discretisation
- finite element
- boundary element
- iteration
File: ha5.pdf
This OER is part of OCW: Computational Mechanics of Materials
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Inherited 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
File: ha2.pdf
This OER is part of OCW: Computational Mechanics of Materials
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OCW Authors:
Inherited 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
File: hw4_sol.pdf
This OER is part of OCW: Computational Methods in Aerospace Engineering
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Inherited 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
File: ha1.pdf
This OER is part of OCW: Computational Mechanics of Materials
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OCW Authors:
Inherited 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
File: hw11.pdf
This OER is part of OCW: Computational Methods in Aerospace Engineering
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- 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
File: ha4.pdf
This OER is part of OCW: Computational Mechanics of Materials
Published under: /Assignments
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OCW Authors:
Inherited 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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