[PDF] Top 20 Computational bounds on polynomial differential equations
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Computational bounds on polynomial differential equations
... linear differential equations ...is polynomial of sufficiently high degree and ...bounded on the left of this parameter value and unbounded on the ... See full document
20
Estimates of solutions for parabolic differential and difference functional equations and applications
... ticular, equations with the polynomial right-hand side are admitted (see the examples in Section ...condition on the steps of a mesh is omitted (see Remark ... See full document
21
Polynomial differential equations compute all real computable functions on computable compact intervals
... It is well known [7, Example 5.1.17] that an open interval (α, β) ⊆ R or a closed interval [α, β] is computable if and only if α and β are computable real numbers. Having defined the notion of recursive and r.e. sets, we ... See full document
20
Solving analytic differential equations in polynomial time over unbounded domains
... the computational complexity of solving partial differential ...a computational complexity ...partial differential equations, even for certain subsets like Navier-Stokes ... See full document
12
On the Pseudo-Spectral Method of Solving Linear Ordinary Differential Equations
... all differential equations can be solved analytically, to overcome this problem, there is need to search for an accurate approximate ...Chebyshev polynomial, we developed a numerical scheme referred ... See full document
5
On differential equations for orthogonal polynomials on the unit circle
... concerning differential equations for orthogonal polynomials on the real ...linear differential equations with polynomial coefficients A n P n ′′ + B n P n ′ + C n P n = 0 , n ≥ ... See full document
25
An efficient algorithm for some highly nonlinear fractional PDEs in mathematical physics.
... partial differential equations (FPDEs) into corresponding partial differential equations (PDEs) and the same is true for its subsequent effect in Reduced Differential Transform Method ... See full document
17
Meshless methods in electromagnetic wave scattering
... by differential or by integral ...work on numerical analysis, in which the application of tools from Functional Analysis is of utmost ...lower bounds for solutions, theorems, stability of solutions, ... See full document
185
Numerical Methods for Differential Equations
... nodes on the standard interval [−1, ...orthogonal polynomial ). In fact, Chebyshev points are equally spaced on the unit circle, and there- fore one can observe a nice connection between spectral ... See full document
98
Computability of ordinary differential equations
... rely on the existence of a Lipschitz constant and depend on its ...depends on the solution we are trying to compute), affecting hugely the local complexity, it is very hard to obtain a global ... See full document
11
A New Polynomial Method for Solving Fredholm –Volterra Integral Equations
... Legendre polynomial based methods [37-43]are used to obtain the fast solutions problems of science and ...algebraic equations thus greatly simplifying the ...Legendre polynomial method, a truncated ... See full document
10
Computability with polynomial differential equations
... by polynomial ODEs which are robust to perturbations (in a sense to be defined ...simulations on unbounded ...the computational power of the model is not ... See full document
20
Computability with polynomial differential equations
... A special acknowledgement goes to the Protheo group at LORIA/INRIA, France which hosted me in several visits during the elaboration of this thesis, adding up to almost one year. Among them, I must mention Olivier Bournez ... See full document
98
Polynomial time corresponds to solutions of polynomial ordinary differential equations of polynomial length
... g on both of them and mix the ...mix on all dimensions simultaneously, thus we need roughly 2 d mixes to ensure that at least one is correct, where d is the ... See full document
91
Differential Privacy for Relational Algebra: Improving the Sensitivity Bounds via Constraint Systems
... For this reason, it is important to avoid adding excessive noise: one should add only the noise strictly necessary to achieve the desired level of differential privacy. This means that the sensitivity of the query ... See full document
14
On the Stability and Ultimate Boundedness of Solutions for Certain Third Order Differential Equations
... 4. Andres, J., 1986. Boundedness results for solutions of the equation &&& x + ax && + g(x)x & + h(x) = p(t) without the hypothesis h(x)sgnx ≥ 0 for x > R . Atti. Accad. Naz. Lincei Rend. Cl. ... See full document
7
Thand Pad Pinelas parte 001
... OSCILLATION RESULTS FOR ODD-ORDER NONLINEAR NEUTRAL DIFFERENTIAL EQUATIONS OF MIXED TYPE.. PINELAS c.[r] ... See full document
1
INVESTIGATION OF STURM-LIOUVILLE PROBLEM SOLVABILITY IN THE PROCESS OF ASYMPTOTIC SERIES CREATION
... Liouville problem in general case for formal power series are proved in the paper. As a particular case, the result is valid for functions instead of formal power series. Practical Relevance. The result is usable at ... See full document
5
Lat. Am. j. solids struct. vol.11 número11
... Woo and Meguid (2001) investigated the nonlinear analysis of FG plates and shallow shells under transverse mechanical loads and temperature field. Von Karman theory for large deflection analysis has been employed for ... See full document
26
Reduced Differential Transform Method for Solving Klein Gordon Equations
... The structure of this paper is organized as follows. In section 2, we begin with some basic definitions and the use of the proposed method. In section 3, we apply the reduced differential transform method to solve ... See full document
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