LU Decomposition is applied to a sparse banded matrix (A). We show how fill-ins can make solution by elimination not manageable by computing non-zero elements of U and L such ...

In this paper, we use the Adomian decomposition method (ADM) for obtaining soliton solution of the Kaup–Kupershmidt (KK) equation. We prove the convergence of this method ...

The standard Newton-Raphson's method has been extended for under and overdetermined systems or in more general, for situations when the Jacobian is not regular, has deficient ...

A nonlinear third order singular ordinary differential equation is a model for a viscous fluid which drains over a wet surface as a thin film down a vertical wall. Here, we ...

We describe a simple implementation of the Takagi factorization of symmetric matrices A=U L UT with unitary U and diagonal L e T, e >= 0 in terms of the square root of an ...

In this paper, we present an efficient numerical algorithm for solving singular two-point linear and non-linear problems, which is based on the Modified Adomian Decomposition ...

Students will use their knowledge about solving and graphing logarithmic and exponential functions to explore, analyze, and solve problems involving real-life applications. ...

This is an incomplete collection of Mathematica materials to accompany ATLAST Computer Exercises for Linear Algebra, by Leon, Herman and Faulkenberry, Prentice Hall, New ...

We describe a simplified cylindrical decomposition algorithm that allows us to find at least one rational point in each connected component of an open semialgebraic set. In ...

Thermal–hydraulic coupling between power, flow rate and density, intensified by neutronics feedback are the main drivers determining the stability behavior of a boiling ...