[PDF] Top 20 Computability of ordinary differential equations
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Computability of ordinary differential equations
... consider computability questions involving real numbers, which require computations with infinite ...sequences of finite objects and computations are per- formed only on a portion of this input; for ... See full document
11
Polynomial time corresponds to solutions of polynomial ordinary differential equations of polynomial length
... series of work (see ...context of real and complex ...price of introducing a whole hierarchy of functions and operators over ...solves ordinary differential equations ... See full document
91
Comparative numerical solutions of stiff Ordinary differential equations using magnus series expansion method
... stiff ordinary differential equations with different stiffness ...advantage of Magnus Series Expansion is that the Magnus Series is truncated but it maintaining geometric properties of ... See full document
11
On Stability and Bifurcation of Solutions of Nonlinear System of Differential Equations for AIDS Disease
... disease of Human Immunodeficiency Virus (HIV) infection pandemic and so it receives (Bachar and Dorfmayr, 2004; McCluskey, 2003; Elaiw, 2010; Hethcote et ...number of more than 34 million population living ... See full document
7
On the Pseudo-Spectral Method of Solving Linear Ordinary Differential Equations
... Tau method are implemented in terms of the expansion coefficients [5] , whereas collocation methods are implemented in terms of physical space values of unknown function. Over the past two decades, ... See full document
5
Solving analytic differential equations in polynomial time over unbounded domains
... an ordinary differential equation of the form of (1) with f componentwise polynomial, prov- ing that the GPAC does satisfy the Church-Turing thesis is equivalent to proving that solutions ... See full document
12
Differential equations for families of semi- classical orthogonal polynomials within class one
... families of semi-classical orthogonal polynomials of class ...order ordinary differential equations (with respect to certain parameters) for the recurrence coefficients of the ... See full document
22
Computational bounds on polynomial differential equations
... problems of differential equations are not ...condition of analyticity in the IVP (17) defined with com- putable data, it can have non-computable ...origin of non-computability ... See full document
20
Comput. Appl. Math. vol.30 número3
... consisting of ordinary differential equations with respect to time t and then found an exact solution containing an infinite matrix ...Authors of [22], presented two unconditionally ... See full document
15
Unsteady Similarity Solution of Free convective boundary layer flow over porous plate with variable properties considering viscous dissipation and Slip Effect
... effects of viscous dissipation and slip effect on the momentum and thermal transport for the unsteady boundary layer flow over porous plate have been carried ...differential equations. The governing ... See full document
6
Effective computability of solutions of differential inclusions-the ten thousand monkeys approach
... the computability of the solution of the initial- value problem for differential inclusions with semicontinuous right-hand ...computation of the solution using the “ten thousand mon- ... See full document
23
Lat. Am. j. solids struct. vol.8 número2
... examples of these ...design of these structures to improve their performance and extend their ...aspect of the design process is the dynamic response of ...dynamics of distributed- ... See full document
10
Method of lines for parabolic stochastic functional partial differential equations
... The method of lines is a semidiscrete numerical method. The idea is to discretize the spatial variable and reduce the given equation to a system of ordinary differential equations. The ... See full document
14
The Numerical Solution of Fractional Differential Algebraic Equations (FDAEs)
... l equations have gained importance and popularity during the past three decades because of its powerful potential ...applications of ordinary fractional d ifferentia l equations or ... See full document
6
Exponential dichotomy and expansivity
... In this work we show if a linear nonautonomous system of ordinary differential equations satisfies a bounded growth condition, then it is exponentially expansive (a slightly stronger con[r] ... See full document
15
Computability with polynomial differential equations
... notion of stability and require robustness only for those properties of interest for the system under ...line of work: our only concern is that each system performs a simulation of a Turing ... See full document
20
Computability with polynomial differential equations
... (mechanical) differential analyzer may be seen as a set of interconnected shafts, each of which representing one of the quantities involved in the ...level of abstraction, there are ... See full document
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Effective computability of solutions of ordinary differential equations: the thousand monkeys approach
... the computability of the solution of the initial- value problem for ordinary differential equations with continuous right- hand ...computation of the solution using the ... See full document
12
Collocation methods for the solution of eigenvalue problems for singular ordinary differential equations
... alternative of the involved ...case of a singularity of the first ...part of the matrix M (0) from (4), R the projection onto the nullspace of that matrix, and P = S + ... See full document
13
Approximation of degenerate partial differential equations arising in finance
... Bachelier showed also that prices changes occur without any connection to external events, very often. So, using probability theory it is possible to estab- lish laws that are verified by the prices and its variations. ... See full document
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