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ECE 595E Lecture 19: FEM for Electronic Transport
04 Mar 2013 | | Contributor(s):: Peter Bermel
Outline:Recap from WednesdayPhysics-based device modelingElectronic transport theoryFEM electronic transport modelNumerical resultsError Analysis
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ECE 595E Lecture 17: Applications of the Beam Propagation Method II
01 Mar 2013 | | Contributor(s):: Peter Bermel
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ECE 595E Lecture 18: FEM for Thermal Transport
01 Mar 2013 | | Contributor(s):: Peter Bermel
Outline:Recap from MondayThermal transfer overviewConvectionConductionRadiative transfer
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ECE 595E Lecture 16: Applications of the Beam Propagation Method I
21 Feb 2013 | | Contributor(s):: Peter Bermel
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ECE 595E Lecture 15: Beam Propagation Method II
19 Feb 2013 | | Contributor(s):: Peter Bermel
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ECE 595E Lecture 13: Programming with FFTW
14 Feb 2013 | | Contributor(s):: Peter Bermel
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ECE 595E Lecture 14: Beam Propagation Method I
14 Feb 2013 | | Contributor(s):: Peter Bermel
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ECE 595E Lecture 12: Applications of FFT
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
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
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
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
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
29 Jan 2013 | | Contributor(s):: Peter Bermel
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ECE 595E Lecture 6: Finding Special Values
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
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 Numerical Simulations for Energy Applications
17 Jan 2013 | | Contributor(s):: Peter Bermel
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ECE 595E Lecture 3: Computability
17 Jan 2013 | | Contributor(s):: Peter Bermel
Outline:Overview • DefinitionsComputing MachinesChurch-Turing ThesisPolynomial TimeExample
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ECE 595E Lecture 4: NP-hardness
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
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
11 Jan 2013 | | Contributor(s):: Peter Bermel
Outline:MotivationMy Background and ResearchTopics for This ClassGoals for This ClassAssignmentsGrading