ECE 595E Numerical Simulations for Energy Applications

17 Jan 2013 | Courses | Contributor(s): Peter Bermel

…

ECE 595E Lecture 1: Introduction to Numerical Simulations

11 Jan 2013 | Online Presentations | Contributor(s): Peter Bermel

Outline: Motivation My Background and Research Topics for This Class Goals for This Class Assignments Grading

ECE 595E Lecture 10: Solving Quantum Wavefunctions

01 Feb 2013 | Online Presentations | Contributor(s): Peter Bermel

Outline: Recap from Monday Schrodinger’s equation Infinite & Finite Quantum Wells Kronig-Penney model Numerical solutions: Real space Fourier space

ECE 595E Lecture 8: Eigenvalues

29 Jan 2013 | Online Presentations | Contributor(s): Peter Bermel

Outline: Recap from Wednesday Eigenproblem Solution Techniques Power Methods Inverse Iteration Atomic Transformations Factorization Methods

ECE 595E Lecture 2: Problems in Numerical Computing

11 Jan 2013 | Online Presentations | Contributor(s): Peter Bermel

Outline: Overall Goals Finding Special Values Fourier Transforms Eigenproblems Ordinary Differential Equations Partial Differential Equations

ECE 595 Course Policy - Spring 2013

03 Jan 2013 | Teaching Materials | Contributor(s): Peter Bermel

A description of the key policies that will govern the administration of ECE 595 on "Numerical Methods" in Spring 2013.

Birck Solar Research Seminar Series

08 Feb 2013 | Series | Contributor(s): Peter Bermel

The Solar Research Series includes presentations from researchers at Purdue and leading researchers across the nation on developments in wafer-based, thin-film, organic and cross-cutting technologies in photovoltaics (PV) and related solar power. Results to be presented will include a mixture of …

ECE 595E Lecture 20: Bandstructure Concepts

06 Mar 2013 | Online Presentations | Contributor(s): Peter Bermel

Outline: Recap from Friday Bandstructure Problem Formulation Bloch’s Theorem Reciprocal Lattice Space Numerical Solutions 1D crystal 2D triangular lattice 3D diamond lattice

ECE 595E Lecture 5: Linear Algebra

18 Jan 2013 | Online Presentations | Contributor(s): Peter Bermel

Outline: Recap from Monday Overview: Computational Linear Algebra Gaussian Elimination LU Decomposition Singular Value Decomposition Sparse Matrices QR Decomposition

ECE 595E Lecture 14: Beam Propagation Method I

14 Feb 2013 | Online Presentations | Contributor(s): Peter Bermel

…

ECE 595E Lecture 22: Full 3D Bandgaps

06 Mar 2013 | Online Presentations | Contributor(s): Peter Bermel

Outline: Recap from Wednesday 3D Lattice Types Full 3D Photonic Bandgap Structures Yablonovite Woodpile Inverse Opals Rod-Hole 3D PhCs

ECE 595E Lecture 3: Computability

17 Jan 2013 | Online Presentations | Contributor(s): Peter Bermel

Outline: Overview • Definitions Computing Machines Church-Turing Thesis Polynomial Time Example

ECE 595E Lecture 4: NP-hardness

17 Jan 2013 | Online Presentations | Contributor(s): Peter Bermel

Outline: Recap from Friday Class NP Non-deterministic Turing machines Reducibility Cook-Levin theorem Coping with NP Hardness

ECE 595E Lecture 24: Electronic Bandstructure Simulation Tools

19 Mar 2013 | Online Presentations | Contributor(s): Peter Bermel

Outline: Electronic bandstructure lab Basic Principles Input Interface Exemplary Outputs Density functional theory (DFT) DFT in Quantum ESPRESSO

ECE 595E Lecture 35: MEEP Tutorial I

18 Apr 2013 | Online Presentations | Contributor(s): Peter Bermel

Outline: MEEP Interfaces MEEP Classes Tutorial examples: Waveguide Bent waveguide

ECE 595E Lecture 7: Optimization and Eigenvalues

29 Jan 2013 | Online Presentations | Contributor(s): Peter Bermel

…

ECE 595E Lecture 18: FEM for Thermal Transport

01 Mar 2013 | Online Presentations | Contributor(s): Peter Bermel

Outline: Recap from Monday Thermal transfer overview Convection Conduction Radiative transfer

ECE 595E Lecture 19: FEM for Electronic Transport

04 Mar 2013 | Online Presentations | Contributor(s): Peter Bermel

Outline: Recap from Wednesday Physics-based device modeling Electronic transport theory FEM electronic transport model Numerical results Error Analysis

ECE 595E Lecture 23: Electronic Bandstructures

27 Mar 2013 | Online Presentations | Contributor(s): Peter Bermel

Outline: 3D Lattice Types Full 3D Photonic Bandgap Structures Yablonovite Woodpile Inverse Opals Rod-Hole 3D PhCs

ECE 595E Lecture 13: Programming with FFTW

14 Feb 2013 | Online Presentations | Contributor(s): Peter Bermel

…

ECE 595E Lecture 9: Programming for Linear Algebra

01 Feb 2013 | Online Presentations | Contributor(s): Peter Bermel

Outline: Recap from Friday Application Examples Electrostatic potential (Poisson’s equation) 1D array of charge 2D grid of charge Arrays of interacting spins 1D interaction along a chain 2D nearest-neighbor coupling

ECE 595E Lecture 11: Fast Fourier Transforms

08 Feb 2013 | Online Presentations | Contributor(s): Peter Bermel

Outline: Recap from Wednesday Fourier Analysis Scalings and Symmetries Sampling Theorem Discrete Fourier Transforms Naïve approach Danielson-Lanczos lemma Cooley-Tukey algorithm Examples

ECE 595E Lecture 12: Applications of FFT

08 Feb 2013 | Online Presentations | Contributor(s): Peter Bermel

Outline: Recap from Friday Real FFTs Multidimensional FFTs Applications: Correlation measurements Filter diagonalization method

ECE 595E Lecture 16: Applications of the Beam Propagation Method I

21 Feb 2013 | Online Presentations | Contributor(s): Peter Bermel

…

ECE 595E Lecture 6: Finding Special Values

29 Jan 2013 | Online Presentations | Contributor(s): Peter Bermel

Outline: Recap from Wednesday Root Finding Bisection Newton-Raphson method Brent’s method Optimization Golden Section Search Brent’s Method Downhill Simplex Conjugate gradient methods Multiple level, single linkage (MLSL)