Abstract: There are many situations when systems of non-linear differential algebraic equations need to be solved with extraordinary precision. A steady-state analysis (determining the steady-state ...

SIAM Journal on Numerical Analysis, Vol. 43, No. 3 (2006), pp. 1321-1347 (27 pages) This paper develops and investigates iterative tensor methods for solving large-scale systems of nonlinear equations ...

Excel can solve equations through several of its mathematical functions, but the single Excel tool that works on the largest variety of equations is the program's Solver Add-in. This tool reads an ...

We discuss the asymptotic behavior of solutions of weakly coupled parabolic equations describing systems undergoing diffusion, convection and nonlinear interaction in a bounded spatial domain, Ω. If ...

This example solves a nonlinear system of equations by Newton's method. Let the nonlinear system be represented by ...