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[PDF] Top 20 Computability with polynomial differential equations

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Computability with polynomial differential equations

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 ...Bush’s differential analyzer in order to make some ...a ... See full document

98

Computability with polynomial differential equations

Computability with polynomial differential equations

... dynamics with non-differentiable, or at least non-analytic, “clocks” to simulate the discrete dynamics of a Turing machine ...ferential equations (ODEs) with analytic, indeed very often ... See full document

20

Polynomial differential equations compute all real computable functions on computable compact intervals

Polynomial differential equations compute all real computable functions on computable compact intervals

... GPAC computability from [1] (Notice that in Shannon’s original definition of the GPAC nothing is assumed about the constants and initial conditions of the ODE ... See full document

20

Effective computability of solutions of ordinary differential equations: the thousand monkeys approach

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 ...a differential equation defined by a locally Lipschitz ... See full document

12

A New Polynomial Method for Solving Fredholm –Volterra Integral Equations

A New Polynomial Method for Solving Fredholm –Volterra Integral Equations

... integro-differential equations. The various types of linear / nonlinear integro-differential equations particularly Fredholm, Volterra, Volterra–Hammerstein, Fredholm- Volterra, impulse ... See full document

10

The general purpose analog computer and computable analysis are two equivalent paradigms of analog computation

The general purpose analog computer and computable analysis are two equivalent paradigms of analog computation

... of computability to the kind of “con- verging computation” used in recursive analysis, then the Γ function becomes computable as shown recently in ...computation” with GPACs corresponds to a particular ... See full document

13

Effective computability of solutions of differential inclusions-the ten thousand monkeys approach

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 ...a differential inclusion defined by a one-sided locally Lipschitz ... See full document

23

The Symmetric Semi-classical Orthogonal Polynomials of Class Two and Some of Their Extensions

The Symmetric Semi-classical Orthogonal Polynomials of Class Two and Some of Their Extensions

... type differential equation with polynomial ...difference equations for the recurrence coefficients of the orthogonal polynomials as well as for related ...identified with discrete ... See full document

20

Solving analytic differential equations in polynomial time over unbounded domains

Solving analytic differential equations in polynomial time over unbounded domains

... 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 of such an ODE ... See full document

12

Numerical Methods for Differential Equations

Numerical Methods for Differential Equations

... yield a set of such clustered interpolation nodes on the standard interval [−1, 1]. These points can easily be mapped by a linear transformation to any other interval [a, b] (see Assignment 8). Chebyshev points arise ... See full document

98

Computational bounds on polynomial differential equations

Computational bounds on polynomial differential equations

... of differential equations are not ...defined with com- putable data, it can have non-computable ...defined with computable data, such that the unique solution is nowhere ... See full document

20

Polynomial time corresponds to solutions of polynomial ordinary differential equations of polynomial length

Polynomial time corresponds to solutions of polynomial ordinary differential equations of polynomial length

... ordinary differential equations before defining an element of DAnalog and N Analog (the counterparts of P and NP introduced in their paper), while in our case we do not need the multiple application of this ... See full document

91

Computability of ordinary differential equations

Computability of ordinary differential equations

... consider computability questions involving real numbers, which require computations with infinite ...computing with infinite data is that the result can be computed with any guaranteed ... See full document

11

A new composition theorem for S^{p}-weighted pseudo almost periodic functions and applications to semilinear differential equations

A new composition theorem for S^{p}-weighted pseudo almost periodic functions and applications to semilinear differential equations

... along with the Schauder’s fixed point theorem to obtain new existence theorems for weighted pseudo almost periodic mild solutions to a semilinear differential equation in a Banach ... See full document

18

On the solution of some fractional differential equations

On the solution of some fractional differential equations

... There has been a great deal of interest in fractional differential equations (Miller et al. 1993; Oldham et al. 1974). These equations arise in mathematical physics and engineering sciences. There ... See full document

7

Nth-order Fuzzy Differential Equations Under Generalized Differentiability

Nth-order Fuzzy Differential Equations Under Generalized Differentiability

... fuzzy differential equations was discussed by applying Nth-order generalized Hukuhara differ- entiability, which, we have been used such definition for our ...fuzzy differential equations in ... See full document

14

Analytical Solutions of the Navier-Stokes Model by He's Polynomials

Analytical Solutions of the Navier-Stokes Model by He's Polynomials

... of differential equations, integral equations, integro-differential equations and so on ...attuned with Adomian’s polynomials, yet it is showed that the He’s polynomials are ... See full document

4

Thand Pad Pinelas parte 001

Thand Pad Pinelas parte 001

... OSCILLATION RESULTS FOR ODD-ORDER NONLINEAR NEUTRAL DIFFERENTIAL EQUATIONS OF MIXED TYPE.. PINELAS c.[r] ... See full document

1

Reduced Differential Transform Method for Solving Klein Gordon Equations

Reduced Differential Transform Method for Solving Klein Gordon Equations

... begin with some basic definitions and the use of the proposed ...reduced differential transform method to solve three test examples in order to show its ability and ... See full document

5

Fibonacci collocation method with a residual error Function to solve linear Volterra integro differential equations

Fibonacci collocation method with a residual error Function to solve linear Volterra integro differential equations

... of differential, integral and integro-differential equations, differential- difference equations and Fredholmintegro differential-difference equations (Kurt 2012, Kurt et ... See full document

14

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