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The method of characteristics

1993
Abstract As explained in section 1.5 the hyperbolic equations such as the kinematic wave equation typically have curves associated with them called characteristics and these carry information about the solution. The method of characteristics uses this property to obtain the solution by moving out along the characteristics from the ...
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Method of Boundary Characteristics

Journal of Engineering Physics and Thermophysics, 2015
A new integral method based on the system of identical equalities of 2n-multiple integrals of the desired temperature function and the corresponding boundary characteristics is presented. This method was used for the approximate solution of problems of a semi-bounded space and a lengthy plate with first-kind boundary conditions.
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Memory characteristics of iterative methods

Proceedings of the 1999 ACM/IEEE conference on Supercomputing, 1999
Conventional implementations of iterative numerical algorithms, especially multigrid methods, merely reach a disappointing small percentage of the theoretically available CPU performance when applied to representative large problems. One of the most important reasons for this phenomenon is that the current DRAM technology cannot provide the data fast ...
Christian Weiß   +3 more
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The performance-characteristics of analytical methods—I

Talanta, 1970
The ever-increasing volume of analytical literature makes it important to be able to compare unambiguously the advantages and disadvantages of analytical methods. To this end, a set of consistent definitions and methods for determining quantitative performance-characteristics (e.g., precision, sensitivity, bias) is needed.
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The method of characteristics

1977
The Schnyder-Bergeron technique has, until recently, been considered the best method of solving transient problems. It is very limited and subject to error, however. The work involved in analysing networks containing a significant number of pipes, say more than eight or nine, is unacceptable in any engineering circumstance.
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Performance characteristics of analytical methods—IV

Talanta, 1974
Sources of systematic errors in analytical results are discussed, and suggestions are made for the investigation and reporting of such errors when characterizing the performances of analytical methods. The four types of error considered arise from: (1) blank determinations, (2) calibration, (3) differences in the efficiencies with which different forms
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Stability of method of characteristics

Applied Numerical Mathematics, 1999
The Lyapunov functional method is used to verify the stability of a system of two first-order hyperbolic partial differential equations. Initial and boundary conditions are assumed. In the case considered Hurwitz type stability occurs simultaneously with Schur type stability. The method of characteristics is used to approximate a continuous system.
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On the Characteristics of Method-of-Stages

IEEE Transactions on Reliability, 1979
This paper examines the pdf of the ``series-stages in parallel'' and shows that depending upon the parameters, its shape can be multimodal.
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Method of Characteristics

2022
Atul Kumar Razdan, V. Ravichandran
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Methods of Measuring Community Characteristics

Child and Adolescent Mental Health, 1997
There is increasing interest in the influence of community characteristics on child development and family functioning. In order to address questions on community influence, it is important to be aware of the measures available and their strengths and limitations. Useful strategies have been developed within a number of disciplines, including sociology,
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