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This report contains extensive data on the level of research publications in refereed journals for two areas in Computer Science: Numerical Computation and Programming Languages and Systems. It is concluded that the research output in Numerical Computation is about 5 times that in Programming...
The idea of rank-one updates for the inverse of the Newton iteration matrix is considered in the context of solving stiff systems of ordinary differential equations. A specific and simple problem (linear, with a constant, diagonal Jacobian) and a specific and simple method (backward Euler, with...
In the design of a step-size and order monitor for the numerical solution of ordinary differential equations, the conventional wisdom holds that the monitor should start with a cautious first-order method. For example, Gear 1, Hindmarsh 2, Schryer 3, and Shampine and Gordon 4 require that the...
This paper summarizes a proposal for a decimal floating-point arithmetic interface for the support of high-level languages, consisting both of the arithmetic operations observed by application programs and facilities to produce sub-routine libraries accessible from these programs. What is not...
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