Displaying similar documents to “Numerical precision for differential inclusions with uniqueness”

Monotone (A,B) entropy stable numerical scheme for Scalar Conservation Laws with discontinuous flux

Adimurthi, Rajib Dutta, G. D. Veerappa Gowda, Jérôme Jaffré (2014)

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

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For scalar conservation laws in one space dimension with a flux function discontinuous in space, there exist infinitely many classes of solutions which are contractive. Each class is characterized by a connection () which determines the interface entropy. For solutions corresponding to a connection (), there exists convergent numerical schemes based on Godunov or Engquist−Osher schemes. The natural question is how to obtain schemes, corresponding to computationally less...

A note on (2K+1)-point conservative monotone schemes

Huazhong Tang, Gerald Warnecke (2010)

ESAIM: Mathematical Modelling and Numerical Analysis

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First–order accurate monotone conservative schemes have good convergence and stability properties, and thus play a very important role in designing modern high resolution shock-capturing schemes. This note will investigate this problem from a numerical point of view and show that a -point monotone scheme may give an oscillatory solution even though the approximate solution is total variation diminishing, and satisfies maximum principle as well as discrete entropy inequality. ...

Central schemes and contact discontinuities

Alexander Kurganov, Guergana Petrova (2010)

ESAIM: Mathematical Modelling and Numerical Analysis

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We introduce a family of new second-order Godunov-type central schemes for one-dimensional systems of conservation laws. They are a less dissipative generalization of the central-upwind schemes, proposed in [A. Kurganov , submitted to ], whose construction is based on the maximal one-sided local speeds of propagation. We also present a recipe, which helps to improve the resolution of contact waves. This is achieved by using the , suggested by Nessyahu and Tadmor [ ...

The Kaṭapayādi system of numerical notation and its spread outside Kerala

Sreeramula Rajeswara Sarma (2012)

Revue d'histoire des mathématiques

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While the study of the transmission of scientific ideas from and to India has its own importance, it is also necessary to examine the transmission of ideas within India, from one region to another, from Sanskrit to regional languages and vice versa. This paper attempts to map the spread of the system of numerical notation, widely popular in Kerala, to other parts of India, and shows that this very useful tool of mathematical notation, though well known in northern India, was rarely...

Depth Lower Bounds for Monotone Semi-Unbounded Fan-in Circuits

Jan Johannsen (2010)

RAIRO - Theoretical Informatics and Applications

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The depth hierarchy results for monotone circuits of Raz and McKenzie [5] are extended to the case of monotone circuits of semi-unbounded fan-in. It follows that the inclusions ⊆ ⊆ are proper in the monotone setting, for every ≥ 1.