Download Applied Numerical Mathematics 61 (January 2011) by Robert Beauwens, Martin Berzins PDF

By Robert Beauwens, Martin Berzins

Show description

Read Online or Download Applied Numerical Mathematics 61 (January 2011) PDF

Similar computational mathematicsematics books

Hybrid Systems: Computation and Control: Third International Workshop, HSCC 2000 Pittsburgh, PA, USA, March 23–25, 2000 Proceedings

This ebook constitutes the refereed lawsuits of the 3rd foreign Workshop on Hybrid platforms: Computation and keep watch over, HSCC 2000, held in Pittsburgh, PA, united states in March 2000. The 32 revised complete papers offered including abstracts of 4 invited talks have been conscientiously reviewed and chosen from a complete of seventy one papers submitted.

Finite Element Method: A Practical Course

The Finite point technique (FEM) has develop into an fundamental expertise for the modelling and simulation of engineering structures. Written for engineers and scholars alike, the purpose of the e-book is to supply the mandatory theories and strategies of the FEM for readers so one can use a advertisement FEM package deal to unravel essentially linear difficulties in mechanical and civil engineering with the focus on structural mechanics and warmth move.

Biological Magnetic Resonance - Volume 17: Structural Computation and Dynamics in Protein (Biological Magnetic Resonance)

Quantity 17 of organic Magnetic Resonance (Structure Computation and Dynamics) represents major advances in the biomolecular NMR box, with emphasis on advancements throughout the contemporary years. This booklet brings jointly a few of the world's most appropriate specialists who've supplied vast management in advancing the sector.

Computational Logic in Multi-Agent Systems: 11th International Workshop, CLIMA XI, Lisbon, Portugal, August 16-17, 2010, Proceedings

This e-book constitutes the complaints of the eleventh foreign Workshop on Computational common sense in Multi-Agent platforms, CLIMA XI, held in Lisbon, Portugal, in August 2010. The 14 papers awarded have been conscientiously reviewed and chosen from 31 submissions. furthermore four invited talks are provided. the aim of the CLIMA workshops is to supply a discussion board for discussing innovations, according to computational good judgment, for representing, programming and reasoning approximately brokers and multi-agent platforms in a proper approach.

Additional resources for Applied Numerical Mathematics 61 (January 2011)

Example text

Various aspects of such heatconduction problems, such as the qualitative analysis of the equations and the computation of the solutions, have been ✩ This work was supported in part by the National Natural Science Foundation of China, No. 10571059, E-Institutes of Shanghai Municipal Education Commission, No. E03004, the Natural Science Foundation of Shanghai, No. 10ZR1409300 and Shanghai Leading Academic Discipline Project No. B407. Address for correspondence: Department of Mathematics, East China Normal University, Shanghai 200241, People’s Republic of China.

10. 1. To illustrate this, we compute the L 2 -error of the RCS with different numbers of holes and list the error as the number of holes increases. , for each discrete number of holes, the randomness is in the hole size is accounted for as discussed previously and the moments in the discrete variables are computed subsequently. The results, simply reflecting the error in the L 2 -error or the mean on the RCS, are shown in Table 5. As expected, we quickly see convergence with as little as three to four holes and can terminate the computation and, thus saving substantially in the overall computational cost.

In Fig. 5, where the solid line denotes the sequence {U (m) } or { V (m) } and the dash-dot line stands for the sequence {U (m) } or { V (m) }. 9). More numerical results of (U ∗ , V ∗ ) at various xi are explicitly given in Table 1. 3) at xi . The termination criterion of iterations is given by U (m) − U (m) ∞ + V (m) − V (m) ∞ < 10−13 . 14) In Table 2, we list the maximum errors erroru (h) and error v (h) as well as the orders of them for various values of h. The data in this table demonstrate that the numerical solution (U ∗ , V ∗ ) has the fourth-order accuracy.

Download PDF sample

Rated 4.01 of 5 – based on 5 votes