| Finite Difference Method (FDM) I |
| Lecture 01 - Motivation and Background |
| Lecture 02 - Finite Differencing |
| Lecture 03 - Finite Differencing (cont.) |
| Lecture 04 - Exercise 1: Laplace Equation |
| Lecture 05 - Exercise 2: Poisson Equation |
| Lecture 06 - Exercise 3: Heat Diffusion Equation |
| Lecture 07 - Lab Tour 1 |
| Lecture 08 - Summary: Finite Difference Method (FDM) I |
| Finite Difference Method (FDM) II |
| Lecture 09 - Accuracy, Dispersion |
| Lecture 10 - Stability, Example |
| Lecture 11 - Exercise 4: Helmholtz Equation |
| Lecture 12 - Exercise 5: Capacitance Problem |
| Lecture 13 - Exercise 6: Dealing with Instability Issues |
| Lecture 14 - Summary: Finite Difference Method (FDM) II |
| Finite Difference Method (FDM) III |
| Lecture 15 - Maxwell PDE System |
| Lecture 16 - Maxwell FDTD System |
| Lecture 17 - Maxwell FDFD System |
| Lecture 18 - Exercise 7: Maxwell Equations |
| Lecture 19 - Exercise 8: Modeling Examples for Maxwell Equations |
| Lecture 20 - Summary: Finite Difference Method (FDM) III |
| Boundary Conditions |
| Lecture 21 - Introduction to Boundary Conditions |
| Lecture 22 - Absorbing Boundary Conditions (ABCs) |
| Lecture 23 - Berenger's Perfectly Matched Layer |
| Lecture 24 - Modeling Practical Electromagnetic Problems using ABCs |
| Lecture 25 - Domain Truncation Techniques |
| Lecture 26 - Solving Maxwell Equations |
| Lecture 27 - Exercise 9: MATLAB Model |
| Lecture 28 - Lab Tour 2 |
| Lecture 29 - Summary: Boundary Conditions |
| Variational Methods |
| Lecture 30 - Background, Calculus of Variations |
| Lecture 31 - Calculus of Variations |
| Lecture 32 - Rayleigh-Ritz Method |
| Lecture 33 - Method of Weighted Residuals |
| Lecture 34 - Exercise 10: Rayleigh-Ritz Method |
| Lecture 35 - Summary: Variational Methods |
| Finite Element Method (FEM) I |
| Lecture 36 - Background, FEM from Weighted Residuals |
| Lecture 37 - Formulation (Basis Function, Mapping) |
| Lecture 38 - Poisson Equation |
| Lecture 39 - Time Domain FEM (FETD) |
| Lecture 40 - Exercise 11: Capacitor Problem |
| Lecture 41 - Summary: Finite Element Method (FEM) I |
| Finite Element Method (FEM) II |
| Lecture 42 - Exercise 12: Coaxial Cable Problem |
| Lecture 43 - Exercise 13: Simple Coaxial Capacitor |
| Lecture 44 - Exercise 14: Coaxial Capacitor - High Order Approach |
| Lecture 45 - Exercise 15: PDE Tool |
| Lecture 46 - Exercise 16: PDE Tool (cont.) |
| Lecture 47 - Exercise 17: Dealing with Unstructured Grid - Triangular Domain |
| Lecture 48 - Summary: Finite Element Method (FEM) II |
| Method of Moment (MoM) |
| Lecture 49 - Background, Theoretical Aspects of Method of Moments |
| Lecture 50 - Green's Function, Incident and Radiated Field, Pocklington Integral Equation |
| Lecture 51 - Galerkin Method, Integral Equation to Matrix Form |
| Lecture 52 - Exercise 18: Capacitance Problem |
| Lecture 53 - Exercise 19: Problem of Characteristic Impedance of a Transmission Line |
| Lecture 54 - Lab Tour 3 |
| Lecture 55 - Summary: Method of Moment (MoM) |
| Finite Volume Time Domain (FVTD) Method I and II |
| Lecture 56 - Motivation and Background |
| Lecture 57 - Background Derivation of Eigenvalue Equation |
| Lecture 58 - Discretization, Maxwell Equation |
| Lecture 59 - Flux Calculation |
| Lecture 60 - Flux Calculation (cont.) |
| Lecture 61 - Domain Truncation |
| Lecture 62 - Lab Tour 4 |
| Lecture 63 - Summary: Finite Volume Time Domain Method (FVTD) I |
| Finite Volume Time Domain (FVTD) Method III |
| Lecture 64 - Domain Truncation Techniques |
| Lecture 65 - Applications of Domain Truncation Techniques |
| Lecture 66 - Domain Truncation Techniques: Applications to Antennas |
| Lecture 67 - Fundamental Limitations of FVTD Method |
| Lecture 68 - Exercise 20: Finite Volume Time Domain (FVTD) Method |
| Lecture 69 - Lab Tour 5 |
| Lecture 70 - Summary: Finite Volume Time Domain (FVTD) Method II |
| Algebraic Topological Method (ATM) I |
| Lecture 71 - Introduction and Motivation |
| Lecture 72 - Theoretical Background |
| Lecture 73 - Some of Topological Aspects |
| Lecture 74 - Cochains |
| Lecture 75 - Boundary Operator |
| Lecture 76 - Summary: Algebraic Topological Method (ATM) I |
| Algebraic Topological Method (ATM) II, Mimetic Method |
| Lecture 77 - Space Orientations |
| Lecture 78 - Time Orientation |
| Lecture 79 - Mimetic (Finite Difference) Method |
| Lecture 80 - Exercise 21: Algebraic Topological Method |
| Lecture 81 - Exercise 22: Conical Capacitor Problem using ATM |
| Lecture 82 - Summary: Algebraic Topological Method |