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Computability of Differential Equations (Q5024569)

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scientific article; zbMATH DE number 7464641

Language	Label	Description	Also known as
English	Computability of Differential Equations	scientific article; zbMATH DE number 7464641

Statements

scholarly article

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Computability of Differential Equations (English)

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Daniel Silva Graça

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Theory and Applications of Computability

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publication date

26 January 2022

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full work available at URL

http://hdl.handle.net/10400.1/15378

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describes a project that uses

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MaRDI profile type

MaRDI publication profile

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The Failure in Computable Analysis of a Classical Existence Theorem for Differential Equations

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Three-Dimensional Flows

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Breaking the limits: The Taylor series method

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Solving Analytic Differential Equations in Polynomial Time over Unbounded Domains

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On the complexity of solving initial value problems

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Mathematical tools for the study of the incompressible Navier-Stokes equations and related models

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Towards computability of elliptic boundary value problems in variational formulation

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Constructive Weak Solutions of the Dirichlet Problem

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Recursive analysis of singular ordinary differential equations

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Index sets for computable differential equations

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The primitive recursive analysis of ordinary differential equations and the complexity of their solutions

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Continuity and computability of reachable sets

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Effective Computability of Solutions of Ordinary Differential Equations The Thousand Monkeys Approach

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Solving Ordinary Differential Equations Using Taylor Series

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A Domain-Theoretic Account of Picard's Theorem

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Polynomial-Time Solution of Initial Value Problems Using Polynomial Enclosures

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Computability of Solutions of the Korteweg-de Vries Equation

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Computability and Incomputability of Differential Equations

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Solutions in \(L_ r\) of the Navier-Stokes initial value problem

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An analytic system with a computable hyperbolic sink whose basin of attraction is non-computable

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Computability with polynomial differential equations

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Analog computers and recursive functions over the reals.

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Computability, noncomputability and undecidability of maximal intervals of IVPs

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Computability, noncomputability, and hyperbolic systems

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The connection between computability of a nonlinear problem and its linearization: the Hartman-Grobman theorem revisited

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Boundedness of the Domain of Definition is Undecidable for Polynomial ODEs

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Computing geometric Lorenz attractors with arbitrary precision

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Nonlinear oscillations, dynamical systems, and bifurcations of vector fields

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Structural stability of Lorenz attractors

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A Software Package for the Numerical Integration of ODEs by Means of High-Order Taylor Methods

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Lipschitz continuous ordinary differential equations are polynomial-space complete

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Complexity Theory for Operators in Analysis

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Computational Complexity of Smooth Differential Equations

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Parameterized complexity for uniform operators on multidimensional analytic functions and ODE solving

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On the computational complexity of the Dirichlet Problem for Poisson's Equation

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Average-case polynomial-time computability of hamiltonian dynamics

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On the computational complexity of ordinary differential equations

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Computing power series in polynomial time

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Recursive function theory and numerical analysis

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Generalized shifts: unpredictability and undecidability in dynamical systems

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A critical evaluation of seven discretization schemes for convection-diffusion equations

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Computational complexity of solving polynomial differential equations over unbounded domains

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A computable ordinary differential equation which possesses no computable solution

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The wave equation with computable initial data such that its unique solution is not computable

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The Wave Equation with Computable Initial Data Whose Unique Solution Is Nowhere Computable

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AN EFFECTIVE CAUCHY-PEANO EXISTENCE THEOREM FOR UNIQUE SOLUTIONS

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Computing Solutions of Symmetric Hyperbolic Systems of PDE's

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Computing Solution Operators of Boundary-value Problems for Some Linear Hyperbolic Systems of PDEs

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Bit complexity of computing solutions for symmetric hyperbolic systems of PDEs with guaranteed precision

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Bit complexity of computing solutions for symmetric hyperbolic systems of PDEs (extended abstract)

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Mathematical Theory of the Differential Analyzer

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Differentiable dynamical systems

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Church's thesis meets the \(N\)-body problem

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On Effective Convergence of Numerical Solutions for Differential Equations

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Computability aspects for 1st-order partial differential equations via characteristics

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On Computability of Navier-Stokes’ Equation

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A rigorous ODE solver and Smale's 14th problem

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IS WAVE PROPAGATION COMPUTABLE OR CAN WAVE COMPUTERS BEAT THE TURING MACHINE?

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The Solution Operator of the Korteweg-de Vries Equation is Computable

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Computing the solution of the Korteweg-de Vries equation with arbitrary precision on Turing machines

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An Algorithm for Computing Fundamental Solutions

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Computing Schrödinger propagators on type-2 Turing machines

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Computable Analysis of the Abstract Cauchy Problem in a Banach Space and Its Applications (I)

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Computable analysis of the abstract Cauchy problem in a Banach space and its applications I

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Computability structure of the Sobolev spaces and its applications

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New Computational Paradigms

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Computational unsolvability of domains of attraction of nonlinear systems

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Computability theory of generalized functions

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Identifiers

10.1007/978-3-030-59234-9_3

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:5024569

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