ERWIN is a parallel
high-order accurate solver for solution of systems of partial and
ordinary nonlinear differential equations in two and three
dimensions. The module structure and MPI based parallelization make
ERWIN a suitable tool
for solution of various problems rising in modern physical and
engineering applications. ERWIN is written in Fortran 90 and
its visualization engine is written in Matlab. The project could be
converted into the commercial software package
Following examples show modeling of solitary waves and vortices
with compact support in Nonlinear Schrodinger equation (NLS):
and Complex Klein-Gordon equation (also known as Q-balls) in
2D:
and in 3D:
Website with
mathematics and animations: http://www.math.tau.ac.il/~compact
Publications:
E. Kashdan, “ERWIN - high-order accurate parallel
solver for multidimensional systems of time-dependent nonlinear
PDEs with visualization engine”, Technical Report, School of
Mathematical Sciences, Tel Aviv University, June 2009
P. Rosenau and E. Kashdan, “Emergence of compact structures in
a Klein-Gordon Model”, Physical Review Letters, 104, 034101,
2010.
P. Rosenau and E. Kashdan, “On multi-nodal Q-balls”,
submitted, 2009.
P. Rosenau and E. Kashdan, “On compactification of nonlinear
patterns and waves”, Physical Review Letters, 101, 264101,
2008.
Support:
ISF, Absorption Ministry and HPC-Europa2 grants