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ECE 595E Lecture 14: Beam Propagation Method I
Online Presentations | 14 Feb 2013 | Contributor(s):: Peter Bermel
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ECE 595E Lecture 12: Applications of FFT
Online Presentations | 08 Feb 2013 | Contributor(s):: Peter Bermel
Outline:Recap from FridayReal FFTsMultidimensional FFTsApplications:Correlation measurementsFilter diagonalization method
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ECE 595E Lecture 11: Fast Fourier Transforms
Online Presentations | 08 Feb 2013 | Contributor(s):: Peter Bermel
Outline:Recap from WednesdayFourier AnalysisScalings and SymmetriesSampling TheoremDiscrete Fourier TransformsNaïve approachDanielson-Lanczos lemmaCooley-Tukey algorithmExamples
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ECE 595E Lecture 10: Solving Quantum Wavefunctions
Online Presentations | 01 Feb 2013 | Contributor(s):: Peter Bermel
Outline:Recap from MondaySchrodinger’s equationInfinite & Finite Quantum WellsKronig-Penney modelNumerical solutions:Real spaceFourier space
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ECE 595E Lecture 9: Programming for Linear Algebra
Online Presentations | 01 Feb 2013 | Contributor(s):: Peter Bermel
Outline:Recap from FridayApplication ExamplesElectrostatic potential (Poisson’s equation)1D array of charge2D grid of chargeArrays of interacting spins1D interaction along a chain2D nearest-neighbor coupling
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ECE 595E Lecture 8: Eigenvalues
Online Presentations | 29 Jan 2013 | Contributor(s):: Peter Bermel
Outline:Recap from WednesdayEigenproblem Solution TechniquesPower MethodsInverse IterationAtomic TransformationsFactorization Methods
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ECE 595E Lecture 7: Optimization and Eigenvalues
Online Presentations | 29 Jan 2013 | Contributor(s):: Peter Bermel
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ECE 595E Lecture 6: Finding Special Values
Online Presentations | 29 Jan 2013 | Contributor(s):: Peter Bermel
Outline:Recap from WednesdayRoot FindingBisectionNewton-Raphson methodBrent’s methodOptimizationGolden Section SearchBrent’s MethodDownhill SimplexConjugate gradient methodsMultiple level, single linkage (MLSL)
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ECE 595E Lecture 5: Linear Algebra
Online Presentations | 18 Jan 2013 | Contributor(s):: Peter Bermel
Outline:Recap from MondayOverview: Computational Linear AlgebraGaussian EliminationLU DecompositionSingular Value DecompositionSparse MatricesQR Decomposition
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ECE 595E Lecture 3: Computability
Online Presentations | 17 Jan 2013 | Contributor(s):: Peter Bermel
Outline:Overview • DefinitionsComputing MachinesChurch-Turing ThesisPolynomial TimeExample
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ECE 595E Lecture 4: NP-hardness
Online Presentations | 17 Jan 2013 | Contributor(s):: Peter Bermel
Outline:Recap from FridayClass NPNon-deterministic Turing machinesReducibilityCook-Levin theoremCoping with NP Hardness
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ECE 595E Lecture 2: Problems in Numerical Computing
Online Presentations | 11 Jan 2013 | Contributor(s):: Peter Bermel
Outline:Overall GoalsFinding Special ValuesFourier TransformsEigenproblemsOrdinary Differential EquationsPartial Differential Equations
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ECE 595E Lecture 1: Introduction to Numerical Simulations
Online Presentations | 11 Jan 2013 | Contributor(s):: Peter Bermel
Outline:MotivationMy Background and ResearchTopics for This ClassGoals for This ClassAssignmentsGrading
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Rappture Bootcamp 3.1: Regression Testing
Online Presentations | 16 Jul 2012 | Contributor(s):: Michael McLennan
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Rappture Bootcamp 3.2: Uploading and Publishing New Tools
Online Presentations | 16 Jul 2012 | Contributor(s):: Michael McLennan
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Rappture Bootcamp 1.1: Introducing the Rappture Toolkit
Online Presentations | 16 Jul 2012 | Contributor(s):: Michael McLennan
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Rappture Bootcamp 1.2: What's Under the Hood?
Online Presentations | 16 Jul 2012 | Contributor(s):: Michael McLennan
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Rappture Bootcamp 1.3: Introduction to Scientific Programming in MATLAB
Online Presentations | 16 Jul 2012 | Contributor(s):: Michael McLennan
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Rappture Bootcamp 1.4: Adding Rappture to MATLAB Applications
Online Presentations | 16 Jul 2012 | Contributor(s):: Michael McLennan
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Rappture Bootcamp 2.1: Review of Scientific Programming in C and Fortran
Online Presentations | 16 Jul 2012 | Contributor(s):: Michael McLennan