Read e-book online Mathematical Modeling and Computational Science: PDF

By Gheorghe Adam, Ján Buša, Michal Hnatič

ISBN-10: 3642282113

ISBN-13: 9783642282119

ISBN-10: 3642282121

ISBN-13: 9783642282126

This e-book constitutes the refereed post-proceedings of the overseas convention on Mathematical Modeling and Computational Physics, MMCP 2011, held in celebrityá Lesná, Slovakia, in July 2011. The forty-one revised papers offered have been conscientiously reviewed and chosen from a number of submissions. they're equipped in topical sections on mathematical modeling and techniques, numerical modeling and techniques, computational aid of the experiments, computing instruments, and optimization and simulation.

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Read or Download Mathematical Modeling and Computational Science: International Conference, MMCP 2011, Stará Lesná, Slovakia, July 4-8, 2011, Revised Selected Papers PDF

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Additional info for Mathematical Modeling and Computational Science: International Conference, MMCP 2011, Stará Lesná, Slovakia, July 4-8, 2011, Revised Selected Papers

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X Consistency Analysis of Finite Difference Approximations to PDE Systems 35 A second nontrivial S-polynomial s2 associated to g˜1 , g˜2 , together with its normal form g˜3 modulo {˜ g1 , g˜2 } read s2 := u(x + 4) · σ ◦ g˜1 − u(x + 3) · g˜2 , g1 , g˜2 }) = u(x) · u(x + 3)2 − x · (x + 1) · u(x + 3) . g˜3 := NF(s2 , {˜ One more nontrivial S-polynomial s3 associated with g˜2 , g˜3 , together with its normal form g˜4 modulo {˜ g1 , g˜2 , g˜3 } are s3 := σ ◦ ·˜ g3 − u(x + 4) · g˜2 , g˜4 := NF(s3 , {˜ g1 , g˜2 , g˜3 }) = u(x) · u(x + 3) · u(x + 4) − x · (x + 1) · u(x + 4) .

Using Computational Challenges for the CBM Experiment 23 this framework, the feasibility to measure the major observables was demonstrated [9, 10, 16]. Figure 7 shows two examples of such feasibility studies for the physics channels D± → Kππ and J/ψ → μ+ μ− . Fig. 7. Examples for physics feasibility studies with the FAIRROOT framework for central Au + Au collisions at 25A GeV. Left: Reconstruction of D± → Kππ with MVD and STS; right: reconstruction of J/ψ → μ+ μ− with STS and MUCH. 3 Reconstruction of Freely Streaming Data As discussed in Sect.

3 we consider a quantum circuit implementing Grover’s search algorithm and demonstate that it gives a quadratic speed-up in solving the search problem. In Sec. 4 Shor’s algorithm for order finding is discussed in detail and its application to a concrete example is demonstrated. It is shown that one can find an order of an integer with high enough probability after only one run of the algorithm. At last, we summarize our results in Sec. 5. 2 Circuit Model for Quantum Computation The circuit model for quantum computation provides an efficient and powerful language for describing quantum algorithms and is constructed similar to the one in classical computer science.

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Mathematical Modeling and Computational Science: International Conference, MMCP 2011, Stará Lesná, Slovakia, July 4-8, 2011, Revised Selected Papers by Gheorghe Adam, Ján Buša, Michal Hnatič


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