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» Non-negative solutions of ODEs
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70
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JNS
2010
67views more  JNS 2010»
14 years 8 months ago
A System of ODEs for a Perturbation of a Minimal Mass Soliton
We study soliton solutions to the nonlinear Schr¨odinger equation (NLS) with a saturated nonlinearity. NLS with such a nonlinearity is known to possess a minimal mass soliton. We ...
Jeremy L. Marzuola, Sarah Raynor, Gideon Simpson
73
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IFSA
2007
Springer
149views Fuzzy Logic» more  IFSA 2007»
15 years 4 months ago
From Interval Computations to Constraint-Related Set Computations: Towards Faster Estimation of Statistics and ODEs Under Interv
One of the important components of granular computing is interval computations. In interval computations, at each intermediate stage of the computation, we have intervals of possi...
Martine Ceberio, Vladik Kreinovich, Andrzej Pownuk...
63
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FOCM
2002
83views more  FOCM 2002»
14 years 10 months ago
A Rigorous ODE Solver and Smale's 14th Problem
We present an algorithm for computing rigorous solutions to a large class of ordinary differential equations. The main algorithm is based on a partitioning process and the use of i...
Warwick Tucker
144
Voted
CCA
2009
Springer
15 years 2 months ago
From Interval Computations to Constraint-Related Set Computations: Towards Faster Estimation of Statistics and ODEs under Interv
Interval computations estimate the uncertainty of the result of data processing in situations in which we only know the upper bounds ∆ on the measurement errors. In this case, ba...
Vladik Kreinovich
PADL
2010
Springer
15 years 7 months ago
An Ode to Arrows
Abstract. We study a number of embedded DSLs for autonomous ordinary differential equations (autonomous ODEs) in Haskell. A naive implementation based on the lazy tower of derivat...
Hai Liu, Paul Hudak