Scientific Computing for DPhil Students

Scientific Computing for DPhil Students

By Oxford UniversityEducation

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Scientific Computing for DPhil Students episodes

October 17, 2016 ODEs and Nonlinear Dynamics (4.2)
In this lecture, Professor Trefethen discusses order of accuracy, convergence and stability, and adaptive ODE codes.
50 min
October 17, 2016 ODEs and Nonlinear Dynamics (4.1)
In this lecture, Professor Trefethen discusses ODEs and IVPs, Runge-Kutta and multistep formulas, IVP codes in MATLAB and Simulink, and in the end reviews IVP solutions in Chebfun.
54 min
October 03, 2016 Optimization (3.3)
In this lecture, Professor Trefethen discusses NEOS and COIN-OR, constraints and linear programming, and quadratic programming and linear constraints.
51 min
October 03, 2016 Optimization (3.2)
In this lecture, Professor Trefethen discusses Newton's methods for minimizing a function of several variables. He then moves on from Newton's method to practical optimization.
50 min
October 03, 2016 Optimization (3.1)
In this lecture, Professor Trefethen discusses Newton's methods for 1) a single equation, 2) a system of equations, and 3) minimizing a function of 1 variable.
50 min
October 03, 2016 Dense Linear Algebra (2.5)
In this lecture, Professor Trefethen provides a demonstration of Chebfun.
49 min
October 03, 2016 Dense Linear Algebra (2.4)
In this lecture, Professor Trefethen discusses matrix factorizations and SVD.
52 min
October 03, 2016 Dense Linear Algebra (2.3)
In this lecture, Professor Trefethen discusses floating point arithmetic and backward error analysis.
54 min
October 03, 2016 Dense Linear Algebra (2.2)
In this lecture, Professor Trefethen discusses QR factorization, the computation of the QR factorization, and linear least-squares.
50 min
October 03, 2016 Dense Linear Algebra (2.1)
In this lecture, Professor Trefethen discusses matrices, vectors and expansions, including orthogonal vectors and matrices.
53 min

About Scientific Computing for DPhil Students

From the publisher's feed

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…

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