Báo cáo hóa học: "DIFFERENCE SCHEMES FOR NONLINEAR BVPs USING RUNGE-KUTTA IVP-SOLVERS" doc

... u) = ⎛ ⎝ − u 2 −0.05  u 2 +cosx  + sinx  0.00005cos 2 x −0.02u 2 1 −0.0025  ⎞ ⎠ (4.85) DIFFERENCE SCHEMES FOR NONLINEAR BVPs USING RUNGE-KUTTA IVP-SOLVERS I. P. GAVRILYUK, M. HERMANN, M. V. KUTNIV, AND V. L. MAKAROV Received ... (4.2) 26 Difference schemes for BVPs Table 4.4. Numerical results for the TDS with m = 6(λ = 100). ε NFUN CPU 10 −4 24500 0.01 10 −6 41440 0.02...

Ngày tải lên: 22/06/2014, 22:20

... m 1 =4,m k = m k-1 + k for k = 2, 3, One can check that all the properties given in (H) are satisfied provided that 0 <l 0 <1. Case 1.If H im k (x 1 , x 2 )=x i for i = 1, 2 and k = 1, ... delay difference inequality and using the properties of “r-cone” and eigenspac e of the spect ral radius of non-negative matrices, some new sufficient conditions for global exponential stabili...

Ngày tải lên: 21/06/2014, 03:20

... inequalities for extended negatively dependent (END) sequence are provided. Using the probability inequalities, we present some moment inequalities, especially the Rosenthal-type inequality for END ... e x-1 for all x Î ℝ, we have by Lemma 1.2 that E  n  i=1 e αX i  ≤ M n  i=1 Ee αX i ≤ M n  i=1 exp(Ee αX i − 1) ≤ M exp  αB n sinh αC C  , where C is a positive constant. Therefo...

Ngày tải lên: 20/06/2014, 22:20

... suitable values for each signal waveform and compared the analysis methods with the most suitable segmental SNR. For the case of white Gaussian noise, we use | ˆ D(k)| that is constant for k, because ... used for the group of harmonic fre- quencies, as in DFT. In other words, small frequency changes cannot be detected. By focusing on the problem of solving a nonlinear equation, we a...

Ngày tải lên: 20/06/2014, 22:20

... M n =M n,n .Let  ·  denote any unitarily invariant norm on M n .So,  UAV  =  A  for all AÎM n and for all unitary matrices U,VÎM n . For A =(a ij )ÎM n , the Hilbert-Schmidt norm of A is defined by  A  2 =      ⎛ ⎝ n  i=1 n  j=1   a ij   2 ⎞ ⎠ =  tr | A | 2 =   n j=1 s 2 j ( A ) , where ... to the referees and Professor Vijay Gupta for their detailed and helpful...

Ngày tải lên: 21/06/2014, 02:20

... Article ID 67624, 9 pages. 22 The optimization for the inequalities of power means Equation (6.2) is substituted by (6.5); and using expansion formula for polynomial, f can be expressed as f (x) =  t(d∧n)∈T d λ ∗ t(d∧n) d ∧n  i=1 s t i i =  t(d∧n)∈T d λ t(d∧n) d ∧n  i=1 A t i  x i  =  t(d∧n)∈T d λ t(d∧n) d ∧n  i=1  M [i] n (x)  it i =  t(d∧n)∈T d λ t(d∧n)  d∧n  i=1  M [i]...

Ngày tải lên: 22/06/2014, 21:20

... visual information fidelity index [3], and the visual signal-to-noise ratio (VSNR) [4], models for no-reference (NR) QA have not yet achieved performance that is competitive with top performing ... images in the Table 2 QA performance using different layers Prediction model SROCC QS-SVM 0.6136 DS 0 0.6583 DS 1 0.8884 DS 2 0.7733 DS 3 0.5587 Table 3 QA performance using different combina...

Ngày tải lên: 21/06/2014, 01:20

... condition (2.27) is sufficient for inequality (2.25) to have no eventually negative solution. On the other hand, condition 15 Oscillation criteria for second-order nonlinear neutral difference equations ... article as it appeared upon acceptance. Fully formatted PDF and full text (HTML) versions will be made available soon. Oscillation criteria for second-order nonlinear neutral differ...

Ngày tải lên: 21/06/2014, 17:20

... criteria for the neutral forced equations of type (2.26), that is, Δ  x(n) −c(n)x[n −τ]  + q 1 (n)x μ [n −τ +1]=q 2 (n)x λ [n −τ +1]+e(n), (4.27) and also for forced neutral second-order nonlinear ... oscillation result for the neutral forced nonlinear difference equation of the form Δ  x(n) −c(n)x[n −τ]  + p(n)x(n +1)+q 1 (n)x μ [n −τ +1]=e(n), (2.26) 10 Discrete first-order forc...

Ngày tải lên: 22/06/2014, 22:20

... of modeling. ,2 1 Generalized Models for high-throughput analysis of uncer- tain nonlinear systems Thilo Gross , Stefan Siegmund ∗ 2 1 Max-Planck Institute for the Physics of Complex Systems, ... appeared upon acceptance. Fully formatted PDF and full text (HTML) versions will be made available soon. Generalized Models for high-throughput analysis of uncer- tain nonlinear systems Jo...

Ngày tải lên: 20/06/2014, 01:20