equations and the riemann problem

... (eiθ + 1) and (eiθ − 1) The stability problem for the top order family The results obtained in the previous section permit to attack the question concerning the stability problem for the k-step ... modulus and σk (z) has not roots of unit modulus Then, the assertions of the theorem follow from Remark 4.1 We are now in the position to give the main results related to the stability problem Theorem ... Theorem 3.4 and relation (2.15) the proof immediately follows We are now ready to answer the question concerning the values assumed by the polynomials ρk−1 (z) and σk (z) on the unit circle Theorem...

Ngày tải lên: 23/06/2014, 00:20

... modulus and the cross-sectional area, and f is either the friction or contact force on the surface of the bar), pipe flow (u is the hydrostatic pressure, a1 = 7rD4/128p, is the diameter, p is the ... to fourthorder problems rooted in the bending of elastic beams and plates Since the fourth-order problems are less standard than second-order equations, their physical background and derivation ... p the insulator problem 449 B.10 Details of the singularity of IEh,pl at the reentrant corner, and the discontinuity along the material interface 449 B.ll The hp-mesh, global view 449 B.12 The...

Ngày tải lên: 31/03/2014, 15:57

Ngày tải lên: 05/08/2014, 15:21

... the base B0 , and the embedding of each edge uses at most one bridge The set of the edges embedded entirely on the base will be denoted by E0 and the set of i i the edges embedded on the bridge ... representing the edges of Hx are pairwise disjoint and for x = 2, , m − the curves representing the edges of Hx intersect the curves representing the edges of Hx−1 and Hx+1 We keep the following rule: the ... m − the curves representing the edges of Wxy intersect the curves representing the edges of Wx(y−1) and Wx(y+1) We again keep the rule that the interiors of the curves representing wxyz and...

Ngày tải lên: 07/08/2014, 06:23

... between Greece and the EU and About the Book: The Economic Crisis in Europe and the Balkans vii the world as a whole are unfavourable for Greece and have further deteriorated The authors state ... The injections to the economy will firstly be applied to the domestic demand by loosening of the fiscal policy However, the situation of the v vi About the Book: The Economic Crisis in Europe and ... growth and the development in the banking sector About the Book: The Economic Crisis in Europe and the Balkans ix Dimitrios Kyrkilis, Simeon Semasis and Constantinos Styliaras discuss whether and...

Ngày tải lên: 01/11/2014, 13:22

... convenience of the reader, we restate the main results of [7] as the following theorem Theorem 1.1 Let (A1, , Ak) and (B1 , , Bk ) be commuting k-tuples of m × m and n × n matrices, respectively The following ... of m × m and n × n matrices, respectively, and let F = O On Then the following are equivalent: (i) F ∈ {T1, , Tk } ; (ii) The homogeneous systems of Sylvester equations AiY − Y Bi = O and ZAi ... the diagonal elements Below we extend the Parlett’s method to the case of functions of several commuting matrices and apply it to the problems of finding simultaneous solutions of Sylvester equations...

Ngày tải lên: 16/10/2015, 09:33

... dormancy—of the moments of the zeta function Nor is there any mention of the Generalized Riemann Hypothesis, the Modified Generalized Riemann Hypothesis, the Extended Riemann Hypothesis, the Grand Riemann ... outstanding problems still await solution Most of us would probably agree that the following three problems are among the most challenging and interesting The Riemann Hypothesis The first is the Riemann ... professional mathematics The Riemann Hypothesis is now the great white whale of mathematical research The entire twentieth century was bracketed by mathematicians’ preoccupation with the Riemann Hypothesis...

Ngày tải lên: 05/06/2014, 11:08

... x; y: (KBE) The variables t0 and x in KBE  are called the backward variables In the case that a and are functions of x alone, pt0; t1 ; x; y  depends on t0 and t1 only through their difference ... can use Itˆ ’s formula to prove the Feynman-Kac Theorem, and use o the Feynman-Kac Theorem to derive the Kolmogorov backward equation 16.6 Black-Scholes Consider the SDE dS t = rS t dt + S ... on t0 and t1 only through their difference t1 , t0 This is always the case when at; x and t; x don’t depend on t Example 16.4 (Geometric Brownian motion) Recall that the solution to the SDE...

Ngày tải lên: 18/10/2013, 03:20

... society and they had agreed that in the event of one of them dying the othec would quickly go 82 Mdnw NJIIII'IITll to the burial society members to infonn them about the death These members would then ... fact, they used the visiL the fore and to seek help fmancially and otherwise Incarrying out the programme of visits, the frrst step was to seek out the ... reporL

Ngày tải lên: 14/02/2014, 07:20

... India, east Africa, the islands of the Caribbean and other places around the globe They provide habitat for fish and shellfish and nursery areas to the larger ocean, and perform important physical ... hundreds of shallow and deep wells throughout the Florida Keys and south Florida, contribute to the eutrophication of nearshore waters and the death and decline of the coral reefs The groups conclude ... missed the high concentrations present in the sedimentary materials of the river bottom Storm events and increases in river turbulence and flow rates resuspend the bacteria and effectively move them...

Ngày tải lên: 17/02/2014, 10:20

... health problems and the reactions of other untrained informants to those problems We assume that, in making these assessments, the psychiatric team is aware of the possibility of error (and bias) ... it in the light of their understanding of the mental health and reporting processes which generate that information Their (approximately accurate) understanding of the relationship between the ... possible here Let cj be the residual covariance cov (Yij , Ai X i ) and σVj η be the covariance between the random component of the measurement error for observer j and the random component of educational...

Ngày tải lên: 18/02/2014, 15:20

... that the workflow “drills down” progressively from the level of the query to plans and to operators, and then uses dependency analysis and the symptoms database to further drill down to the level ... estimates the resource usage (e.g., CPU and I/O) of the operator based on the values of input parameters While the number and types of input parameters depend on the operator type, the main ones are the ... important that the administrators are able to understand and validate the tool’s reasoning Otherwise, administrators may never trust the tool enough to use it II Can the format deal with the noisy...

Ngày tải lên: 07/03/2014, 17:20

... of the lemma and suffix helps in tiding over the data sparsity problem by allowing the system to reason about the suffix-case marker combination rather than the combination of the specific word and ... Jack” forms the object of the verb said, and hence is represented in a scope The Stanford dependency parser on the other hand represents these dependencies with the help of the clausal complement ... baseline: The default settings of Moses were used for this model lemma + suffix: This uses the lemma and suffix factors on the source side, and the lemma and suffix/case marker on the target side The...

Ngày tải lên: 08/03/2014, 00:20

Ngày tải lên: 15/03/2014, 23:20

... satisfies the hypothesis of theorem (2.3) then the solution of Eq.(12) in the case µ = is asymptotic equivalence to the solution of Eq.(12) in the case µ = Ackowledgments This paper is based on the ... we can show that the null solution x(t) ≡ of Eq.(4) is uniformly stable ii) By assumption (ii) of the theorem there exist the positive constants C and λ δ= Ce−λt , T (t) ∀t > By the similar argument ... in the case µ = will be asymptotic equivalence to the solution of Eq.(4) in the case µ = 0(in the following we will give µ = 1) .The obtained result of this part is an extention of Levinson’s theorem...

Ngày tải lên: 22/03/2014, 11:20

... moreover the implied constant depends on j, s, the parameters at infinity of f and g (i.e the weight or the eigenvalue of the Laplacian) and on the level of g Remark 1.2 One can check from the proof ... Burgess bound (to handle the contribution from the continuous spectrum) is sufficient to finish the proof of Theorem Remark 1.5 We find rather striking that the solution of the subconvexity problem for ... of q and the critical range for the variable c is around q As in [KMV2] we open the Kloosterman sum and apply a Voronoi type summation formula to the λg (m) sum, with the effect of replacing the...

Ngày tải lên: 22/03/2014, 16:20

... expressed by the formula of the Boussinet, then the assumption about the random force will lead, in particular, to the results of the work The physical reason of the assumption about the uncorrelativity ... complete theory, applicable for the smaller intervals of the time, assumptions were made (Ornshtein, the Kroutkov, and others, see also ) that the uncorrelated random function is not the velocity, and ... legitimate and the theory correctly describes the process, taking place in the interval of the time within the time of the relaxation (and more), then it is, nevertheless, not applicable for the examination...

Ngày tải lên: 30/03/2014, 17:20

... structure of the problem in a form relevant for the present needs, omitting the discussion of how one obtains the equations and the Lagrangian We refer the reader to Leonard [1997] and to Leonard and ... equations for the equations (1.6) and simply e the Euler–Poincar´ equations or the Euler–Poincar´ equations with advection or the Euler– e e Poincar´ equations with advected parameters, for the equations ... study the Euler–Poincar´ formulation of the Maxwell–Vlasov equations for plasma physics e The Kelvin–Noether Theorem There is a version of the Noether theorem that holds for solutions of the Euler–Poincar´...

Ngày tải lên: 24/04/2014, 16:49

Ngày tải lên: 24/04/2014, 17:17

Ngày tải lên: 24/04/2014, 17:24