Parallel implementation of interval analysis for equations solving (original) (raw)

Shared-memory parallelization of an interval equations systems solver - comparison of tools

Bartlomiej Kubica

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ALIAS: an interval analysis based library for solving and analyzing system of equations

Jean-Pierre Merlet

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Interval arithmetic: From principles to implementation

Tim Hickey

Journal of the ACM, 2001

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Interval Arithmetic. A practical implementation

Henrik Vestermark

2015

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A proposal to add interval arithmetic to the C++ standard library

Hervé Brönnimann

2006

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A class of problems that can be solved using interval algorithms

Bartlomiej Kubica

2011

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A unified framework for interval constraints and interval arithmetic

Tim Hickey

1998

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A Computational Environment for Interval Matrices in C+

Chenyi Hu

2006

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A Generic, Collaborative Framework for Interval Constraint Solving

Antonio José Fernández Leiva

2002

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Computer Algebra Support for the Completed Set of Intervals

Yilmaz Akyildiz

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Declarative Numerical Analysis: an Interval Constraint-based Approach

Tim Hickey

1999

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Interval analysis, constraint propagation and applications

C. Jermann

2007

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Fundamentals of SIGLA, an interval computing system over the completed set of intervals

Albert Trepat

Computing, 1980

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Verified Real Number Calculations: A Library for Interval Arithmetic

Marc Daumas

Computing Research Repository, 2007

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Analytic constraint solving and interval arithmetic

Tim Hickey

2000

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Efficient interval linear equality solving in constraint logic programming

jimmy lee

Reliable computing, 2002

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An extension of the WAM for hybrid interval solvers

Frédéric Benhamou

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Interval Computations: Introduction, Uses, and Resources

R. Kearfott

1996

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Formal Aspects of Correctness and Optimality of Interval Computations

Regivan Santiago

Formal Aspects of Computing, 2006

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A Comparison of some Methods for Solving Linear Interval Equations

R. Kearfott

SIAM Journal on Numerical Analysis, 1997

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Concurrent cooperating solvers over reals

Michel Rueher

1997

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Algorithm 763; INTERVAL_ARITHMETIC: a Fortran 90 module for an interval data type

R. Kearfott

ACM Transactions on Mathematical Software, 1996

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Metalevel Interval Arithmetic and Verifiable Constraint Solving

Tim Hickey

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Polynomial Precise Interval Analysis Revisited

Helmut Seidl

Lecture Notes in Computer Science, 2009

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A Local Search Approach to Modelling and Solving Interval Algebra Problems

Abdul Sattar

Journal of Logic and Computation, 2004

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