18.335J | Spring 2019 | Graduate

Introduction to Numerical Methods

Lecture Notes

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

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Spring 2019
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Graduate
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