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RES.18-009 Learn Differential Equations: Up Close with Gilbert Strang and Cleve Moler (MIT) RES.18-009 Learn Differential Equations: Up Close with Gilbert Strang and Cleve Moler (MIT)

Description

Includes audio/video content: AV lectures. Learn Differential Equations: Up Close with Gilbert Strang and Cleve Moler is an in-depth series of videos about differential equations and the MATLAB® ODE suite. These videos are suitable for students and life-long learners to enjoy.About the Instructors Gilbert Strang is the MathWorks Professor of Mathematics at MIT. His research focuses on mathematical analysis, linear algebra and PDEs. He has written textbooks on linear algebra, computational science, finite elements, wavelets, GPS, and calculus.Cleve Moler is chief mathematician, chairman, and cofounder of MathWorks. He was a professor of math and computer science for almost 20 years at the University of Michigan, Stanford University, and the University of New Mexico. These videos w Includes audio/video content: AV lectures. Learn Differential Equations: Up Close with Gilbert Strang and Cleve Moler is an in-depth series of videos about differential equations and the MATLAB® ODE suite. These videos are suitable for students and life-long learners to enjoy.About the Instructors Gilbert Strang is the MathWorks Professor of Mathematics at MIT. His research focuses on mathematical analysis, linear algebra and PDEs. He has written textbooks on linear algebra, computational science, finite elements, wavelets, GPS, and calculus.Cleve Moler is chief mathematician, chairman, and cofounder of MathWorks. He was a professor of math and computer science for almost 20 years at the University of Michigan, Stanford University, and the University of New Mexico. These videos w

Subjects

differential equations | differential equations | ODE | MATLAB | ODE | MATLAB | first order equations | first order equations | second order equations | second order equations | matrices | matrices | Laplace transform | Laplace transform | linear algebra | linear algebra | eigenvalues | eigenvalues | eigenvectors | eigenvectors | Fourier series | Fourier series | Runge-Kutta | Runge-Kutta | Tumbling box | Tumbling box | predator-prey equations | predator-prey equations | Lorenz Attractor | Lorenz Attractor

License

Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htm

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ón de Cálculo Numérico (2009) ón de Cálculo Numérico (2009)

Description

La asignatura de Ampliación de Cálculo Numérico es el complemento ideal a las asignaturas de Cálculo Numérico y Ecuaciones Diferenciales que se cursan en segundo curso. En ella se aplican los conocimientos y técnicas de la primera para resolver los problemas de la segunda. Tiene un interés indudable en Ingeniería Química pues muchos procesos químicos (cinética química, evolución de tanques de reacción, etc) están gobernados por ecuaciones diferenciales que en la mayoría de los casos no se pueden resolver analíticamente y hay que recurrir a métodos númericos para obtener uns descripción precisa del proceso. Del mismo modo, los procesos de transferencia de calor y mecánica de fluidos están gobernados por ecuaciones en derivadas parciales que también serán consideradas La asignatura de Ampliación de Cálculo Numérico es el complemento ideal a las asignaturas de Cálculo Numérico y Ecuaciones Diferenciales que se cursan en segundo curso. En ella se aplican los conocimientos y técnicas de la primera para resolver los problemas de la segunda. Tiene un interés indudable en Ingeniería Química pues muchos procesos químicos (cinética química, evolución de tanques de reacción, etc) están gobernados por ecuaciones diferenciales que en la mayoría de los casos no se pueden resolver analíticamente y hay que recurrir a métodos númericos para obtener uns descripción precisa del proceso. Del mismo modo, los procesos de transferencia de calor y mecánica de fluidos están gobernados por ecuaciones en derivadas parciales que también serán consideradas

Subjects

ía Química | ía Química | álisis Matemático | álisis Matemático | Ecuaciones en Derivadas Parciales | Ecuaciones en Derivadas Parciales | étodo de Euler | étodo de Euler | étodo de Runge-Kutta | étodo de Runge-Kutta | MATLAB | MATLAB | ón Numérica de Ecuaciones Diferenciales | ón Numérica de Ecuaciones Diferenciales | ática Aplicada | ática Aplicada

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16.90 Computational Methods in Aerospace Engineering (MIT)

Description

This course provides an introduction to numerical methods and computational techniques arising in aerospace engineering. Applications are drawn from aerospace structures, aerodynamics, dynamics and control, and aerospace systems. Techniques covered include numerical integration of systems of ordinary differential equations; numerical discretization of partial differential equations; and probabilistic methods for quantifying the impact of variability. Specific emphasis is given to finite volume methods in fluid mechanics, and finite element methods in structural mechanics.Acknowledgement: Prof. David Darmofal taught this course in prior years, and created some of the materials found in this OCW site.

Subjects

numerical integration | ODEs | ordinary differential equations | finite difference | finite volume | finite element | discretization | PDEs | partial differential equations | numerical linear algebra | probabilistic methods | optimization | computational methods | aerospace engineering | Monte Carlo | Fourier stability analysis | Matrix stability analysis | Runge-Kutta | convergence | accuracy | stiffness | weighted residual | statistical sampling | sensitivity analysis

License

Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see https://ocw.mit.edu/terms/index.htm

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RES.18-009 Learn Differential Equations: Up Close with Gilbert Strang and Cleve Moler (MIT)

Description

Learn Differential Equations: Up Close with Gilbert Strang and Cleve Moler is an in-depth series of videos about differential equations and the MATLAB® ODE suite. These videos are suitable for students and life-long learners to enjoy.About the Instructors Gilbert Strang is the MathWorks Professor of Mathematics at MIT. His research focuses on mathematical analysis, linear algebra and PDEs. He has written textbooks on linear algebra, computational science, finite elements, wavelets, GPS, and calculus.Cleve Moler is chief mathematician, chairman, and cofounder of MathWorks. He was a professor of math and computer science for almost 20 years at the University of Michigan, Stanford University, and the University of New Mexico. These videos were produced by The MathWorks® and are

Subjects

differential equations | ODE | MATLAB | first order equations | second order equations | matrices | Laplace transform | linear algebra | eigenvalues | eigenvectors | Fourier series | Runge-Kutta | Tumbling box | predator-prey equations | Lorenz Attractor

License

Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see https://ocw.mit.edu/terms/index.htm

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