Cover image of Scientific Computing for DPhil Students

Scientific Computing for DPhil Students

Nick Trefethen FRS, Professor of Numerical Analysis at Oxford University, teaches a course for DPhil (PhD) students across all the science departments at the university. The course is distinctive for... Read more

Ranked #1

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Optimization (3.1)

Optimization (3.1)

In this lecture, Professor Trefethen discusses Newton's methods for 1) a single equation, 2) a system of equations, and ... Read more

3 Oct 2016

49mins

Ranked #2

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Sparse Matrices and Iterative Methods (1.3)

Sparse Matrices and Iterative Methods (1.3)

In this lecture, Professor Trefethen discusses preconditioned CG and also provides examples of preconditioners

3 Oct 2016

54mins

Ranked #3

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Dense Linear Algebra (2.3)

Dense Linear Algebra (2.3)

In this lecture, Professor Trefethen discusses floating point arithmetic and backward error analysis.

3 Oct 2016

53mins

Ranked #4

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Optimization (3.2)

Optimization (3.2)

In this lecture, Professor Trefethen discusses Newton's methods for minimizing a function of several variables. He then ... Read more

3 Oct 2016

49mins

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Ranked #5

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ODEs and Nonlinear Dynamics (4.2)

ODEs and Nonlinear Dynamics (4.2)

In this lecture, Professor Trefethen discusses order of accuracy, convergence and stability, and adaptive ODE codes.

17 Oct 2016

49mins

Ranked #6

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ODEs and Nonlinear Dynamics (4.1)

ODEs and Nonlinear Dynamics (4.1)

In this lecture, Professor Trefethen discusses ODEs and IVPs, Runge-Kutta and multistep formulas, IVP codes in MATLAB an... Read more

17 Oct 2016

53mins

Ranked #7

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Dense Linear Algebra (2.5)

Dense Linear Algebra (2.5)

In this lecture, Professor Trefethen provides a demonstration of Chebfun.

3 Oct 2016

48mins

Ranked #8

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PDEs (5.1)

PDEs (5.1)

In this lecture, Professor Trefethen discusses PDEs in science and engineering, and explicit 1D finite differences.

17 Oct 2016

51mins

Ranked #9

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PDEs (5.3)

PDEs (5.3)

In this lecture, Professor Trefethen discusses order of accuracy and reaction-diffusion equations and other stiff PDEs.

17 Oct 2016

52mins

Ranked #10

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PDEs (5.2)

PDEs (5.2)

In this lecture, Professor Trefethen discusses numerical instability and implicit 1D finite differences.

17 Oct 2016

49mins

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