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The Method of Characteristics

2015
This chapter describes a classical technique for constructing solutions of hyperbolic PDEs. The method is applied to linear systems of PDEs and to nonlinear PDE problems. This naturally leads to a discussion of more advanced topics including shocks, Riemann problems and weak solutions.
David F. Griffiths   +2 more
openaire   +1 more source

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

2020
The method of characteristics has played an essential role in computing hydraulic transients up to now. Almost all applicable software tools are based on this method. In principle, the method of characteristics is a mathematical technique for solving so-called hyperbolic partial differential equations.
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The Method of Characteristics

2013
The purpose of this chapter is to develop the method of characteristics for the solution of dynamic problems in thermoelasticity. The theoretical analysis of dynamic stresses due to impact loadings has generally been performed by the Laplace transform method.
M. Reza Eslami   +5 more
openaire   +1 more source

A Variant of the Method of Characteristics

Computer assisted mechanics and engineering sciences, 2002
A variant of the method of characteristics for hyperbolic conservation laws is proposed in this paper. It is based on the time interpolation instead of space interpolation as in the standard method of characteristics. A new method for calculating the propagation velocity is proposed as well.
Virag, Zdravko   +2 more
openaire   +2 more sources

Method of Characteristics

2015
The governing equations of motion for two and three-dimensional inviscid irrotational supersonic flows are derived. Although these equations are nonlinear, there are unique curves in the physical space, known as characteristics that turn the governing partial differential equations into ordinary differential equations that may be integrated along the ...
Roelof Vos, Saeed Farokhi
openaire   +1 more source

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 0001   +3 more
openaire   +1 more source

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