purty line!
John M. Neuberger's Home

John M. Neuberger



MAT 661 page
MAT 316 page

pic of me
Neumann BC e-fncts on Disk Triple Junction on Disk JPEG 6th efn of Laplacian on snowflake.
Bifurcation Diagram for Triple Well System Equivalence Classes of Solutions near primary bifurcation point off of trivial (local max) branch for Triple Well System Bif Diag, sym/asym sol:
u''+s*u +4(x-.5)^2u^3=0 on (0,1)
u(0)=0=u(1)
Bif Diag, sym/asym sol, GIF format
13+31 tertiary branch non-odd 12+21 branch possible G-L vortex? Plotting $u:C\to C$ as vector field

My Harvey Mudd website; Scientific Computing course info

Variational Conference Link
June 2002, Flagstaff

Simple GNGA (Gradient-Newton-Fourier-Algorithm) Notebook.
Demonstrates Algorithm on ODE BVP.

Department of Math and Stats
Northern Arizona University
Flagstaff, AZ 86011
welcome!
john.neuberger@nau.edu
Telephone: (520)523-6889
Fax: (520) 523-5847
math links NAU Math HomePage NAU HomePage
Click on "thumbnails" for Large Graphic display!

Front View of 3-D slice
of Infintite-D Hilbert Submanifold $S$.
Back View of 3-D slice
of Infintite-D Hilbert Submanifold $S$.
submanifold one
submanifold two

The submanifold $S$ of the Hilbert space $H_0^{1,2}[0,1]$ contains all nontrivial solutions of the zero-Dirichlet BVP $u'' + u^3 = 0$. The above graphics represent the intersection of the space spanned by the first 3 eigenfunctions of $-u''$ with $S$, i.e., $span{sin \pi x, sin 2 \pi x, sin 3 \pi x} \cap S$.
white Mathematics Related Links
blue Links for Fun and Business
mail box
test form here
reu form here

ALT="Clock>