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The Shooting Technique for the Solution of Two-Point Boundary Value Problems
One of the strengths of Maple is its ability to provide a wide variety of information about di erential equations. Explicit, implicit, parametric, series, Laplace transform, numerical, and graphicalExpand
Comparison of Two-Dimensional Conformal Local Adiation Boundary Conditions
ABSTRACT Numerical solutions for openndash;region electromagnetic problems based on differential equations require some means of truncating the computational domain. A number of local RadiationExpand
Strategies and guidelines for using a computer algebra system in the classroom
G. DONALD ALLEN Workshop organizer, Department of Mathematics, Texas A&M University, College Station, TX 77843, USA. E-mail: dallen@math.tamu.edu JIM HEROD Department of Mathematics, Georgia Tech,Expand
Comparison of local radiation boundary conditions for the scalar Helmholtz equation with general boundary shapes
The relative accuracy of several local radiation boundary conditions based on the second-order Bayliss-Turkel (1980) condition are evaluated. These boundary conditions permit the approximate solutionExpand
Second-order transmission conditions for the Helmholtz equation
We present an iterative nonoverlapping domain decomposition method with second-order Robin-type transmission conditions for the scalar Helmholtz equation in two dimensions. The analysis of theExpand
COMPARISON OF TWO-DIMENSIONAL CONFORMAL LOCAL RADIATION BOUNDARY CONDITIONS
Numerical solutions for open-region electromagnetic problems based on differential equations require some means of truncating the computational domain. A number of local Radiation Boundary ConditionsExpand
Maple and the Parachute Problem : Modelling with an Impact
The \parachute problem" involves a rst-order ODE in which the coe cient of air resistance is a piecewisede ned function. This paper focuses on the use of Maple's symbolic, numeric, and graphic toolsExpand
Applications of generalized stress in elastodynamics
The problem under consideration is the scattering of elastic waves by inhomogeneous obstacles. The main goal is to obtain approximation techniques which are amenable to numerical implementation. ForExpand
Applications and performance of a local conformal radiation boundary condition
The validity of the second order Bayliss-Turkel (BT) radiation boundary condition (RBC) representation is presented in terms of errors as a function of the order of a wavefunction representation andExpand
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