An addition chain for a natural number n is a sequence 1 = a0 < a1 < . . . < ar = n of numbers such that for each 0 < i r, ai = aj + ak for some 0 k j < i. Thurbe...
The computation of radiative effects by the Photon Monte Carlo method is computationally demanding, especially when complex, nongray absorption models are employed. To solve such c...
Kamal Viswanath, Ivana Veljkovic, Paul E. Plassman...
- We develop a numerical scheme for computing the solution of a generalized version of Fisher's equation. The main idea is to use a modi ed Crank-Nicolson method in order to c...
Miguel Olmos-Gomez, Merced Arriaga-Gutierrez, Vali...
: - There are many numerical methods adopted to solve mathematical problems. Early researchers focused on the methods to reduce computational costs. In recent years, reduction in c...
In this paper, we apply the high order WENO schemes to uniform cylindrical and spherical grid. Many 2-D and 3-D problems can be solved in 1-D equations if they have angular and ra...
How to price options efficiently and accurately is an important research problem. Options can be priced by the lattice model. Although the pricing results converge to the theoreti...
- Two software packages for solving sparse systems of linear equations, SuperLU and UMFPACK, have been integrated with the University of Maine Ice Sheet Model for predicting the fo...
Abstract -- We experimentally examine the performance of preconditioners based on entries of the symmetric positive definite part and small subspace solvers for linear system of eq...