Numerical solutions of ads gravity

... 8 Numerical Solutions of the Black Scholes Equation The left-hand side of the heat equation, on the other hand, cannot be unambiguously approximated The following are some of the more ... six steps in the x-direction; these values are chosen to make the set-up as close as possible to the binomial example of the last chapter 97 Numerical Solutions of...

Ngày tải lên: 25/10/2013, 19:20

... in Section 3, where for different values of λ, we study positive, pseudo dead core, and dead core solutions of problem 1.9a - 1.9b and positive solutions of problem 1.5a - 1.5b Analytical Results ... unique dead core solution and a unique positive solution of problem 1.9a - 1.9b iii For each λ ∈ 4/9 3/ 3α 4β 3/2 , M , there exist a unique dead core solutio...

Ngày tải lên: 21/06/2014, 16:20

... more accurate solutions The size of the integration interval also influences the accuracy of the solutions (should be less than 10% of the time constant) • • st Solutions of sets of order ODEs ... interval × function of gradient • This is the basis for a family of algorithms used to provide numerical solutions of ODEs • A particular class is the Runge-Kutta algorithm...

Ngày tải lên: 19/03/2015, 08:49

... surface of cross section -118- 900 21 50 21 50 27 5 D2 D1 1700 25 0 P 325 P 1800 1700 100 520 0 Beam s A1 and A2 21 50 21 50 900 27 5 P D2 D1 1700 1800 375 325 P 1700 520 0 Beam s B1 21 50 21 50 900 27 5 D1 D2 ... e2θ ; * v1 = v1 ; * v2 = v2 ; θ 1* = θ ; * 2 = 2 ; where e1 and e2 are the eccentricities of cable at the deviators and 2, respectively -114- (6.7) u2*,v2*,θ 2* Ca...

Ngày tải lên: 07/11/2012, 11:04

... [K 11 ] 1 ({ΔF1 } + {R1 } − [K 21 ]{ΔU }) (2.22) {ΔF2 } = [K 22 ]{ΔU } + [K12 ]{ΔU } − {R2 } (2.23) K 12 ⎤ K 22 ⎥ ⎦ ⎧ ΔU ⎫ ⎬ ⎨ ⎩ΔU ⎭ (1) ⎧ ΔF ⎫ ⎧ R ⎫ = ⎨ 1 +⎨ 1 ⎩ΔF2 ⎭ ⎩ R2 ⎭ ⎡ K 11 ⎢K ⎣ 21 Solving ... (3 .18 a) 12 K 6K 12 K 6K ⎤ ⎡ ⎢0; − L3 ; − L2 ; 0; L3 ; − L2 ⎥ ⎣ ⎦ 12 K 1+ L2 (3 .18 b) ⎡ 12 ⎛ 12 K ⎞ 6 12 ⎛ 12 K ⎞ ⎤ 0; − + x; ⎜ − − ⎟ + x; 0; − x; ⎜ − ⎟ + x⎥ ⎢ L⎠ L ⎦ 12 K L...

Ngày tải lên: 07/11/2012, 11:04

... Hansen, E and Sengupta, S.: Bounding solutions of systems of equations using interval analysis BIT 21, 203–211 (1981) Neumaier, A.: Interval Methods for Systems of Equations Cambridge Univ Press, ... Fig Projection of a periodic Lorenz system Conclusion and perspectives We have presented a new method for enclosing the solutions of HDSs This method can prove the existen...

Ngày tải lên: 12/01/2014, 22:20

Ngày tải lên: 13/02/2014, 12:20

... of the Main Theorem with the exception of those results which concern the asymptotic properties of the Ricci coefficients (the Asymptotics Theorem), and the straightforward modifications of the ... desired in the proof of (93) The remaining term on the left-hand side of (93) is easier to treat Proof of the L2 − L∞ decay estimate; Theorem 2.1 In this section we...

Ngày tải lên: 16/02/2014, 05:20

... calculating the pH dependence of the free energy of folding is [19,31,54,55]: DDG folding ¼ 2:3kT pH Z DqdpH ð7Þ pH1 where, pH1 and pH2 determine the pH interval and Dq is the change of the net charge of ... single number for the optimum pH If given protein is reported to be stable in a range of pHs, then the optimum pH is taken to be the middle of...

Ngày tải lên: 19/02/2014, 12:20

... A new numerical invariant of Artinian Modules over 35 Preliminaries In this section, K is a nonzero Artinian R-module 2.1 The residuum, residual length and width of Artinian modules We ... A) A new numerical invariant of Artinian Modules over 39 The proof is then complete The above theorem means that the least degree of all polynomials bounding from abov...

Ngày tải lên: 05/03/2014, 14:20

... Annals of Mathematics, 159 (2004), 1247–1274 Numerical characterization of the K¨hler cone of a compact K¨hler manifold a a By Jean-Pierre Demailly and Mihai Paun Abstract The goal of this ... there exists a very neat characterization of nef classes on arbitrary surfaces, K¨hler or not a The Main Theorem has an important application to the deformation the...

Ngày tải lên: 05/03/2014, 23:20

Ngày tải lên: 14/03/2014, 13:20

... there  was  a conical island setup  in  a wave basin having the dimension of 30 m wide and  25 m long.  The conical island has the shape of a truncated  cone  with  diameters  of 7.2  m  at  ... practical  problems  related  to  long waves,  such  as  inundation  of tsunami on coastal areas.  Simulated  results  in  this  study also  confirm that the area behind an island can be  at...

Ngày tải lên: 14/03/2014, 15:20

... tide 1% and storm wave 9B simulation (Fig 8), indicating that the waves are the dominant transport mechanism However, the tidal currents modify the transport patterns In the interior of the estuary, ... calculates tidal propagation; the current driven by the tide, waves, and wind; sediment transport; and bottom morphology change 91 Simulation specificatio...

Ngày tải lên: 14/03/2014, 15:20