Computability on reals, infinite limits and differential equations
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Publication:990444
DOI10.1016/j.amc.2007.02.146zbMath1193.03083OpenAlexW2153355623MaRDI QIDQ990444
Jerzy Mycka, Bruno Loff, Costa, José Félix
Publication date: 1 September 2010
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2007.02.146
Constructive and recursive analysis (03F60) Numerical methods for ordinary differential equations (65L99)
Related Items (3)
A survey of recursive analysis and Moore's notion of real computation ⋮ A foundation for real recursive function theory ⋮ A Survey on Analog Models of Computation
Cites Work
- Real recursive functions and their hierarchy
- A new conceptual framework for analog computation
- The existence of noncollision singularities in Newtonian systems
- Classical recursion theory. Vol. II
- Recursion theory on the reals and continuous-time computation
- \(\mu\)-recursion and infinite limits.
- Analog computers and recursive functions over the reals.
- The differential analyzer. A new machine for solving differential equations
- An analog characterization of the Grzegorczyk hierarchy
- The P\(\neq\) NP conjecture in the context of real and complex analysis
- The many forms of hypercomputation
- Church's thesis meets the \(N\)-body problem
- Elementarily computable functions over the real numbers and \(\mathbb R\)-sub-recursive functions
- Undecidability over Continuous Time
- Extremal solutions of a discontinuous scalar differential equation
- Hilbert's Tenth Problem is Unsolvable
- Infinite time Turing machines
- On a theory of computation and complexity over the real numbers: 𝑁𝑃- completeness, recursive functions and universal machines
- Simplifications of the recursion scheme
- Machines, Computations, and Universality
- Mathematical Theory of the Differential Analyzer
- Iteration, inequalities, and differentiability in analog computers
- On the Cauchy problem for first order discontinuous ordinary differential equations
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