Appendix of book Solving Numerical PDEs: Problems, Applications, Exercises - Formaggia, Saleri, Veneziani - 2012 - read pp. 395-409
Lecture 5, March 14th, 2018 Lecture by Prof. Novella Bartolini. Introduction to boolean tomography of networks. Project proposals. Lecture 5 - Boolean Tomography & Project proposals - Prof. Bartolini Lecture 6, March 16th, 2018 Discussion on exercises of Homework 1 and laboratory Homework 1 - Sparse Matrices - 2018 - Homework 1 - Boolean Tomography Lecture 7, March 21st, 2018 Lecture by Dr. Viviana Arrigoni. Linear systems. Gaussian elimination for solving systems of linear equations. Pivoting. Methods to avoid pivoting. Lecture 7 - Linear Systems Part 1 Lecture 8, March 23rd, 2018 Lecture by Dr. Viviana Arrigoni. Linear systems. Cholesky factorization. Jacobi iterative method. Gauss-Seidel iterative method. Lecture 8 - Linear Systems Part 2 Lecture 9, March 28th, 2018 Discussion on exercises of Homework 2 and laboratory 2018 - Homework 2- Linear Systems: Direct and Iterative Methods Lecture 10, April 4th, 2018 Eigenvalues and eigenvectors. The Power method. The Deflation methods. Applications: Gould Index - Eigenvector Centrality in a Graph; the Fiedler Eigenvector and the Graph Partitioning; the Steady State of a Markov Chain by using Eigenvalues and Eigenvectors. Lecture 10 - Eigenvalues, Eigenvectors and Applications Lecture 11, April 6th, 2018 Errors: Computational errors, Data errors, Truncation errors, Rounding errors. Forward error and backward error. Sensitivity and condition number. Stability and accuracy. Errors in floating point arithmetic. Lecture 11 - Errors Lecture 12, April 11th, 2018 Laboratory Homework3 - Eigenvalues and Eigenvectors Lecture 13, April 13th, 2018 Exercises. April 18th, 2018 _Midterm test Lecture April 20th, 2018 _Lecture cancelled (due to illness) Lecture 14, April 27th, 2018 Molecular Dynamics: Introduction, Hooke's Law Model, Lennard-Jones Model, Motion Equations. Molecular Dynamics - L. Fosdick. Lecture 15, May 2nd, 2018 Molecular Dynamics: Euler's method and Verlet's method for Hooke's Law Model and Lennard-Jones Model. Hard Sphere Model. Molecular Dynamics - L. Fosdick. Lecture 16, May 4th, 2018 Molecular Dynamics: Hard Sphere Model. Exact solution for Hooke's Law Model. Molecular Dynamics - L. Fosdick. Lecture 17, May 9th, 2018 Laboratory Homework 4 - Exercises on Molecular Dynamics Lecture 18, May 11th, 2018 Classifications of (parallel) architectures. 2018-Lecture18-ArchitectureClassification.pdf SIMD class: vector architecture. 2018-Lecture18-VectorArchitectures.pdf Lecture 19, May 16th, 2018 Graphics Processing Units. Lecture 19 - GPUs (Hennessy, Patterson - Chapter 4, Sect. 4.2; Kirk, Hwu - Chapter 3, 4, 5; Barlas - Chapter 6) Lecture 20, May 18th, 2018 Interconnection networks. Lecture 20 - Interconnection Networks Lecture 21, May 23th, 2018 Exercises on GPU and Interconnection networks Lecture 22, May 25th, 2018 Performance evaluation of computer architectures. Amdhal law. Performance equation. Lecture 22 - Performance
Circuits for arithmetic operations. Pipeline of arithmetic operations. Circuit evaluation: delay and area. Lecture 22 - Computer arithmetic Lecture 23, May 30th, 2018 Redundant number representations for carry-free addition. Modified Signed Digit (MSB) and Redundant Binary. Lecture 23 - Redundant representations Residue number system. Lecture 23 - Residue representations Lecture 24, June 1st, 2018 Exercises on Performance equation, Amdhal law, Redundant representations, Residue number systems. See past tests at link Advanced Parallel Architectures
-- Annalisa Massini - 2019-02-25
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