18.335J | Spring 2019 | Graduate

Introduction to Numerical Methods

Lecture Notes

pdf
117 kB
Gram-Schmidt Orthogonalization
pdf
109 kB
Ideal-Cache Terminology
pdf
974 kB
Introduction to Julia
pdf
110 kB
Julia & IJulia Cheat-Sheet
pdf
122 kB
The QR Algorithm I
pdf
100 kB
The QR Algorithm II
pdf
356 kB
18.335J (S19) Lecture 1 - Square roots via Newton's method
pdf
154 kB
18.335J (S19) Lecture 10 - Householder Reflectors and Givens Rotations
pdf
358 kB
18.335J (S19) Lecture 11 - Performance Experiments with Matrix Multiplication
pdf
215 kB
18.335J (S19) Lecture 12 - Experiments with Cache-Oblivious Matrix Multiplication
pdf
94 kB
18.335J (S19) Lecture 15 - Hessenberg/Tridiagonal Reduction
pdf
237 kB
18.335J (S19) Lecture 19 - Why restarting Arnoldi/Lanczos is not trivial
pdf
126 kB
18.335J (S19) Lecture 2 - Floating-Point Arithmetic, the IEEE Standard
pdf
121 kB
18.335J (S19) Lecture 24 - Sparse Matrix Algorithms
pdf
567 kB
18.335J (S19) Lecture 25 - A Brief Overview of Optimization Problems
pdf
276 kB
18.335J (S19) Lecture 26 - Adjoint Methods
pdf
182 kB
18.335J (S19) Lecture 27 - Adjoint methods and sensitivity analysis for recurrence relations
pdf
138 kB
18.335J (S19) Lecture 2a - Some myths about floating-point arithmetic
pdf
490 kB
18.335J (S19) Lecture 30 - Quasi-Newton optimization
pdf
226 kB
18.335J (S19) Lecture 33a - Numerical integration and the redemption of the trapezoidal rule
pdf
119 kB
18.335J (S19) Lecture 33b - Fourier Cosine Series Examples
pdf
79 kB
18.335J (S19) Lecture 38 - Fast Fourier Transform Algorithms
pdf
3 MB
18.335J (S19) Lecture 39 - Fast Fourier Transform and Fast Fourier Transform in the West
pdf
234 kB
18.335J (S19) Lecture 3a - Notes on the accuracy of naive summation
pdf
194 kB
18.335J (S19) Lecture 3b - Backwards stability of recursive summation
pdf
249 kB
18.335J (S19) Lecture 4 - Notes on the equivalence of norms
pdf
2 MB
18.335J (S19) Lecture 6 - Modern differential equations solver software

Course Info

Departments

As Taught In

Spring 2019

Level

Graduate

Topics

Learning Resource Types

Exam Solutions
Exams
Lecture Notes
Problem Set Solutions
Problem Sets
Download Course
MIT Open Learning
Over 2,500 courses & materials
Freely sharing knowledge with learners and educators around the world. Learn more
© 2001–2026 Massachusetts Institute of Technology
Accessibility
Creative Commons License
Terms and Conditions
Proud member of:
© 2001–2026 Massachusetts Institute of Technology