SIAM Journal on Applied Mathematics, Vol. 72, No. 1 (2012), pp. 405-416 (12 pages) An asymptotic expansion in powers of small dimensionless dispersion coefficient is sought to solve an initial value ...

There is little debate that AI will revolutionize working practices, but there is less agreement about the best way to exploit this transformation. While 90% of CIOs are piloting AI or investing in ...

When people think AI, they often think big, such as curing cancer or solving climate change. Everybody is dreaming up the biggest problems possible and attempting to solve them with AI. Or there’s the ...

We study the initial boundary value problem of semilinear hyperbolic equations utt – Δu = f(u) and semilinear parabolic equations ut – Δu = f(u) with critical initial data E(0) = d (or J(u₀) = d), ...