48x36 Trifold Poster Template

1
Numerical detection of singularities in complex
function of two variables Alexandr Virodov, Nan
Pwint Maung, Kamyar Malakuti, Michael Siegel New
Jersey Institute of Technology. University
Heights, Newark, NJ 07102.
Synthetic data example 1
Introduction 1-D fit
Application example Burgers equation
a -1, complex I.C., no singularity initially
present
Time t0.221
Time t0.419
Synthetic data example 2
a -1, real I.C., no singularity initially
present
2-D fit
Time t0.44
Time t0.557
Time t0.557, 256x256
a -0.5, complex I.C., natural singularity
Synthetic data example 3 (linear term)
Time t0.0
Time t0.0
Time t1.051
a -0.5, real I.C., natural singularity
Time t1.221
Time t1.221, 128x128 Time
t1.221, 256x256
a 0.5, complex I.C., singularity power change
Time t0.0
Time t0.049
Time t0.6