Computer Algebra - with a View Toward Reliable Numeric Computation
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منابع مشابه
Numeric versus Symbolic Computation
Twentyfive years ago when I studied Physics, only one of the students who participated in a laboratory course that I took was possessing one of the first calculators to process the data we were obtaining. Believe it or not, everybody else, including me, had to use a slide-rule for this purpose. Nowadays, the calculator is used by everybody, by far not only for academic purposes. Hence it is the...
متن کاملsynaps, a library for symbolic-numeric computation
The need to combine symbolic and numeric computations is ubiquitous in many problems. Starting with an exact description of the equations, in most cases, we will eventually have to compute an approximation of the solutions. Even more, in many problems the coefficients of the equations may only be known with some inaccuracy (due, for instance, to measurement errors). In this case, we are not dea...
متن کاملManipulation of Matrices Symbolically
Traditionally, matrix algebra in computer algebra systems is “implemented” in three ways: • numeric explicit computation in a special arithmetic domain: exact rational or integer, highprecision software floating-point, interval, or conventional hardware floating-point. • ‘symbolic’ explicit computation with polynomial or other expression entries, • (implicit) matrix computation with symbols def...
متن کاملA Tool for Support of Online Symbolic Computations
The paper presents a possibility how to accomplish numerical and symbolic computations in online applications and in web environment. For this purpose the computer algebra system Maxima was used. The proposed solution is illustrated on the corresponding examples that are oriented to the area of automation and control.
متن کاملSymbolic-Numeric Applications in Fluid Mechanics
Although symbolic computing can be considered to have started in the 1960s (with the invention of the language LISP), it was not until the marketing of the computer algebra system Mathematica in the late 1980s that acceptance amongst scientists “took off”. Many systems beside Mathematica experienced increases in sales as a result of Mathematica’s marketing expertise. These days there are two ma...
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تاریخ انتشار 2017