Humans have problems with quantum mechanics. We have excellent intuition about the motion of a tennis ball tossed in the air, but what about an electron trapped in a box? The tendency is to use the ...
SIAM Journal on Numerical Analysis, Vol. 44, No. 6 (2006), pp. 2408-2431 (24 pages) The symmetric interior penalty discontinuous Galerkin finite element method is presented for the numerical ...
Numerical methods for differential and integral equations are indispensable in modern applied mathematics and engineering, offering tools to approximate complex physical phenomena where analytical ...
An iterative method is proposed to solve the Schrödinger eigenvalue problem in a wavelet framework. Orthonormal wavelets are used to represent the corresponding operator as a sparse band matrix. This ...