| My Personal Training Log | I.P.A. Pennslyvania Meet Video | Rules of the Weight-lifting Man |
| Master's Thesis: Spectrally Accurate Initial Data in Numerical Relativity |
| Time Evolution of Non-Singular Primordial Black Holes |
| A Non-Intimidating Introduction to Magnetohydrodynamics |
| Heroin Epidemic Modeling |
| Monotonic and Periodic Properties of Non-Autonomous Rational Difference Equations |
| Post-Newtonian N-Body Modeling |
| Lax-Friedrich | Lax-Wendroff | Upwind | MacCormack | Leap-Frog |
| N | Central-Implicit (R=0.8) | Crank-Nicholson (R=0.8) | Central-Implicit (R=1.5) | Crank-Nicholson (R=1.5) |
| 200 | CIM_R08_N200 | CN_R08_N200 | CIM_R15_N200 | CN_R15_N200 |
| 400 | CIM_R08_N400 | CN_R08_N400 | CIM_R15_N400 | CN_R15_N400 |
| 800 | CIM_R08_N800 | CN_R08_N800 | CIM_R15_N800 | CN_R15_N800 |
| 1600 | CIM_R08_N1600 | CN_R08_N1600 | CIM_R15_N1600 | CN_R15_N1600 |
| SYSTEM OF LINEAR HYPERBOLIC EQUATIONS MOVIE: UPWIND |
| SYSTEM OF LINEAR HYPERBOLIC EQUATIONS MOVIE: LAX-WENDROFF |
| N | Lax-Friedrich (CFL=0.4) | Lax-Wendroff (CFL=0.25) | Godunov (CFL=0.05) | Roe Approximation (CFL=0.05) | Van-Leer Approx. (CFL=0.05) | Enquist-Osher (CFL=0.05) |
| 200 | LF_200 | LW_200 | GOD_200 | ROE_200 | VL_200 | EO_200 |
| 400 | LF_400 | LW_400 | GOD_400 | ROE_400 | VL_400 | EO_400 |
| 800 | LF_800 | LW_800 | GOD_800 | ROE_800 | VL_800 | EO_800 |
| 1600 | LF_1600 | LW_1600 | GOD_1600 | ROE_1600 | VL_1600 | EO_1600 |
| Limiter Scheme | Problem 4: Sinusoidal Wave | Problem 5: Square Wave |
| Super-Bee | SB Prob4 | SB Prob5 |
| Van-Leer | VL Prob4 | VL Prob5 |
| CO (with PSI=1.5) | CO Prob4 | CO Prob5 |
| Beam-Warming | BW Prob4 | BW Prob5 |
© 2010-2011 Nicholas Battista