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<br> <tr><td align="left" bgcolor="#F3ECFA"><font color="#3F467A" size=+1><b>Lectures 2018-2019</b></font><br> <br> <font color="#3F467A"> *Lecture 1, February 27th, 2019* Introduction to the course - [[http://twiki.di.uniroma1.it/pub/CI/WebHome/2019-Lecture1-IntensiveComputationIntro.pdf][Lecture 1 - Introduction]]<br> *Lecture 2, March 1st, 2019* Introduction to Matlab - Part 1 - [[http://twiki.di.uniroma1.it/pub/CI/WebHome/2019-Lecture2-Matlab.pdf][Lecture 2 - Matlab]]<br> *Laboratory, March 1st, 2019* [[http://twiki.di.uniroma1.it/pub/CI/WebHome/2019-Exercises-Intro-1-CI.pdf][Laboratory: Introductory exercises - Part 1]]<br> *Lecture 3, March 6th, 2019* Introduction to Matlab - Part 2 - [[http://twiki.di.uniroma1.it/pub/CI/WebHome/2019-Lecture3-Matlab.pdf][Lecture 3 - Matlab]]<br> *Laboratory, March 6th, 2019* [[http://twiki.di.uniroma1.it/pub/CI/WebHome/2019-Exercises-Intro-1bis.pdf][Laboratory: Introductory exercises - Part 2]]<br> *Lecture 4, March 8th, 2019* Compact storage methods for sparse matrix: Coordinate, Compact Sparse Row CSR, Compact Sparse Column CSC and Modified Sparse Row MSR, Block Sparse Row, Skyline, Diagonal, Ellpack-Itpack. [[http://twiki.di.uniroma1.it/pub/CI/WebHome/2019-Lecture4-SparseMatrices.pdf][Lecture 4 - Sparse Matrices]]<br> * [[http://twiki.di.uniroma1.it/pub/CI/WebHome/Appendix-SolvingNumericalPDEs-FormaggiaSaleriVeneziani-2012.pdf][Appendix]] of book Solving Numerical PDEs: Problems, Applications, Exercises - Formaggia, Saleri, Veneziani - 2012 - *read pp. 395-409* <br> * [[http://twiki.di.uniroma1.it/pub/CI/WebHome/2019-Homework1-SparseMatrices.pdf][Homework 1-Sparse Matrices]] - *Deadline: 24 March 2019* *Lecture 5, March 13th, 2019* Lecture by Dr. Viviana Arrigoni. Linear systems. Gaussian elimination for solving systems of linear equations. Pivoting. Methods to avoid pivoting. Random Butterfly Transformations and Positive definite methods [[http://twiki.di.uniroma1.it/pub/CI/WebHome/2019-Lecture5-LinSys1new-Viviana.pdf][Lecture 5 - Linear Systems Part 1]] *Lecture 6, March 15th, 2019* Lecture by Dr. Viviana Arrigoni. Linear systems. Cholesky factorization. Jacobi iterative method. Gauss-Seidel iterative method. [[http://twiki.di.uniroma1.it/pub/CI/WebHome/2018-Lecture8-Arrigoni-LinSys2.pdf][Lecture 6 - Linear Systems Part 2]]<br> *Lecture 7, March 20th, 2019* Discussion on exercises of Homework 1 and laboratory. * [[http://twiki.di.uniroma1.it/pub/CI/WebHome/2019-Homework2-DirectIterativeMethods.pdf][Homework 2 - Direct and iterative methods]] - *Deadline: 2 April 2019* *Lecture 8, March 22th, 2019* 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. [[http://twiki.di.uniroma1.it/pub/CI/WebHome/2019-Lecture8-Errors.pdf][Lecture 8 - Errors]]<br> *Lecture 9, March 27th, 2019* 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. * [[http://twiki.di.uniroma1.it/pub/CI/WebHome/2019-Lecture9-Eigenvalues.pdf][Lecture 9 - Eigenvalues, Eigenvectors and Applications]]<br> *Lecture 10, March 29rd, 2019* Discussion on exercises of Homework 2 and laboratory *[[http://twiki.di.uniroma1.it/pub/CI/WebHome/2018-Homework3-EigenvaluesEigenvectors.pdf][Homework 3 - Eigenvalues and Eigenvectors]] - *Deadline: 16 April 2019* *Lecture 11, April 3th, 2019* Exercises on errors, sparse matrices, Jacobi method, Cholesky method, Power method from 2016 midterm test and 2016 July test.<br> *Lecture 12, April 5th, 2019* Molecular Dynamics: Introduction, Hooke's Law Model, Lennard-Jones Model, Motion Equations. Euler's method. [[http://twiki.di.uniroma1.it/pub/CI/WebHome/FosdickMolecDynamic.pdf][Molecular Dynamics - L. Fosdick]].<br> *Lecture 13, April 10th, 2019* Molecular Dynamics: Verlet's method for Hooke's Law Model and Lennard-Jones Model. Hard Sphere Model. [[http://twiki.di.uniroma1.it/pub/CI/WebHome/FosdickMolecDynamic.pdf][Molecular Dynamics - L. Fosdick]].<br> *Lecture 14, April 12th, 2019* Molecular Dynamics: Hard Sphere Model. Exact solution for Hooke's Law Model. [[http://twiki.di.uniroma1.it/pub/CI/WebHome/FosdickMolecDynamic.pdf][Molecular Dynamics - L. Fosdick]].<br> __April 17th, 2019__ _Midterm test<br> *Lecture 15, May 3th, 2019* Classifications of (parallel) architectures. [[http://twiki.di.uniroma1.it/pub/CI/WebHome/2019-Lecture15-ArchitectureClassification.pdf][Lecture 15 - Architecture Classification]] SIMD class: vector architecture [[http://twiki.di.uniroma1.it/pub/CI/WebHome/2019-Lecture15-VectorArchitectures.pdf][2019 Lecture15 - Vector Architectures]] <br> *Lecture 16, May 8th, 2019* Graphics Processing Units. [[%ATTACHURL%/2019-Lecture16-GPU.pdf][2019 Lecture 16 - GPU]] (Hennessy, Patterson - Chapter 4, Sect. 4.2; Kirk, Hwu - Chapter 3, 4, 5; Barlas - Chapter 6) <br> *Lecture 17, May 10th, 2019* Graphics Processing Units - Continued. Exerxises on GPUs.<br> *Lecture 18, May 15th, 2019* Interconnection networks. [[http://twiki.di.uniroma1.it/pub/CI/WebHome/2019-Lecture17-IntNetworks.pdf][Lecture 18 - Interconnection networks]] <br> * [[%ATTACHURL%/2019-Homework4-MolecularDynamics.pdf][Homework 4 - Molecular Dynamics]] - *Deadline:* <del>27 May 2019</del> *3 June 2019* <br> *Lecture 19, May 17th, 2019* Lecture by Dr T. Castrignanò. Problems in Bioinformatics and project proposals.<br> *Lecture 20, May 22nd, 2019* Circuits for arithmetic operations. Pipeline of arithmetic operations. Circuit evaluation: delay and area. [[http://twiki.di.uniroma1.it/pub/CI/WebHome/2019-lesson20a-Computer-arithmetic.pdf][Lecture 20 - Computer arithmetic]]<br> *Lecture 21, May 29th, 2019* Representations for Fast Arithmetic. Redundant number representations for carry-free addition. Modified Signed Digit (MSB) and Redundant Binary. Residue number system. [[http://twiki.di.uniroma1.it/pub/CI/WebHome/2019-lesson21-RepresentationsFastArithmetic.pdf][Lecture 21 - Representations for Fast Arithmetic]]<br> *Lecture 22, May 31th, 2019* Exercises on Interconnection networks.<br> Exercises on Redundant representations and Residue number systems.<br> *Lecture 23, June 3rd, 2019* Performance evaluation of computer architectures. Amdhal law. Performance equation. [[http://twiki.di.uniroma1.it/pub/CI/WebHome/2019-lesson22-Performance.pdf][Lecture 23 - Performance]] -- %USERSIG{AnnalisaMassini - 2020-02-26}%
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