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Introduction to Numerical Methods (M-I-T)

(30 Lectures Available)


S# Lecture Course Institute Instructor Discipline
1 Square Roots via Newton's Method (PDF) (M-I-T) Introduction to Numerical Methods (M-I-T) MIT Prof. Steven G. Johnson Basic and Health Sciences
2 Square Roots (M-I-T) Introduction to Numerical Methods (M-I-T) MIT Prof. Steven G. Johnson Basic and Health Sciences
3 Floating-Point Arithmetic, the IEEE Standard (PDF) (M-I-T) Introduction to Numerical Methods (M-I-T) MIT Basic and Health Sciences
4 Floating-Point Arithmetic (M-I-T) Introduction to Numerical Methods (M-I-T) MIT Basic and Health Sciences
5 Notes on the Accuracy of Naive Summation (PDF) (M-I-T) Introduction to Numerical Methods (M-I-T) MIT Prof. Steven G. Johnson Basic and Health Sciences
6 Backwards Stability of Recursive Summation (PDF) (M-I-T) Introduction to Numerical Methods (M-I-T) MIT Prof. Steven G. Johnson Basic and Health Sciences
7 Modern Differential Equations Solver Software: Where We Are and Where We're Headed (PDF - 2.4MB) (M-I-T) Introduction to Numerical Methods (M-I-T) MIT Prof. Steven G. Johnson Basic and Health Sciences
8 Many Viewpoints on Linear Regression (M-I-T) Introduction to Numerical Methods (M-I-T) MIT Basic and Health Sciences
9 Householder Reflectors and Givens Rotations (PDF) (M-I-T) Introduction to Numerical Methods (M-I-T) MIT Prof. Steven G. Johnson Basic and Health Sciences
10 Classical vs. Modified Gram-Schmidt (M-I-T) Introduction to Numerical Methods (M-I-T) MIT Prof. Steven G. Johnson Basic and Health Sciences
11 Performance Experiments with Matrix Multiplication (PDF) (M-I-T) Introduction to Numerical Methods (M-I-T) MIT Prof. Steven G. Johnson Basic and Health Sciences
12 Ideal-Cache Terminology (PDF) (M-I-T) Introduction to Numerical Methods (M-I-T) MIT Prof. Steven G. Johnson Basic and Health Sciences
13 Experiments with Cache-Oblivious Matrix Multiplication (PDF) (M-I-T) Introduction to Numerical Methods (M-I-T) MIT Prof. Steven G. Johnson Basic and Health Sciences
14 Experiments with Memory Access and Matrices (M-I-T) Introduction to Numerical Methods (M-I-T) MIT Prof. Steven G. Johnson Basic and Health Sciences
15 Hessenberg Factorization (PDF) (M-I-T) Introduction to Numerical Methods (M-I-T) MIT Prof. Steven G. Johnson Basic and Health Sciences
16 Why Restarting Arnoldi/Lanczos is not Trivial (PDF) (M-I-T) Introduction to Numerical Methods (M-I-T) MIT Prof. Steven G. Johnson Basic and Health Sciences
17 Experiments with Arnoldi Iterations (M-I-T) Introduction to Numerical Methods (M-I-T) MIT Prof. Steven G. Johnson Basic and Health Sciences
18 Large-Scale Linear Algebra: Dense Matrix Methods (M-I-T) Introduction to Numerical Methods (M-I-T) MIT Prof. Steven G. Johnson Basic and Health Sciences
19 Sparse Matrix Algorithms (PDF) (M-I-T) Introduction to Numerical Methods (M-I-T) MIT Prof. Steven G. Johnson Basic and Health Sciences
20 Sparse-Direct Solvers in Julia (M-I-T) Introduction to Numerical Methods (M-I-T) MIT Prof. Steven G. Johnson Basic and Health Sciences
21 A Brief Overview of Optimization Problems (PDF) (M-I-T) Introduction to Numerical Methods (M-I-T) MIT Prof. Steven G. Johnson Basic and Health Sciences
22 Adjoint Methods (PDF) (M-I-T) Introduction to Numerical Methods (M-I-T) MIT Prof. Steven G. Johnson Basic and Health Sciences
23 Adjoint Methods and Sensitivity Analysis for Recurrence Relations (PDF) (M-I-T) Introduction to Numerical Methods (M-I-T) MIT Prof. Steven G. Johnson Basic and Health Sciences
24 Recurrence Relation (M-I-T) Introduction to Numerical Methods (M-I-T) MIT Prof. Steven G. Johnson Basic and Health Sciences
25 Lagrangian, Lagrange Dual Function and Dual Problem (PDF) (M-I-T) Introduction to Numerical Methods (M-I-T) MIT Prof. Steven G. Johnson Basic and Health Sciences

of 2 30 Lectures Available.