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Heun's method

Known as: Improved Euler's Method, Explicit trapezoidal rule, Modified Euler's method 
In mathematics and computational science, Heun's method may refer to the improved or modified Euler's method (that is, the explicit trapezoidal rule… 
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Computational scienceEuler methodExplicit and implicit methodsJohn C. Butcher

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
Review
2018
Review
2018
The ecological importance of unregulated tributaries to macroinvertebrate diversity and community composition in a regulated river
In regulated rivers, dams alter longitudinal gradients in flow regimes, geomorphology, water quality and temperature with… 
2016
2016
The Heun operator as a Hamiltonian
It is shown that the celebrated Heun operator H e = − ( a 0 x 3 + a 1 x 2 + a 2 x ) d 2 d x 2 + ( b 0 x 2 + b 1 x + b 2 ) d d x… 
2015
2015
Lattice Boltzmann analysis of micro-particles transport in pulsating obstructed channel flow
2013
2013
The integral formalism and the generating function of grand confluent hypergeometric function
Biconfluent Heun (BCH) function, a confluent form of Heun function, is the special case of Grand Confluent Hypergeometric (GCH… 
2013
2013
Asymptotic behavior of Heun function and its integral formalism
The Heun function generalizes all well-known special functions such as Spheroidal Wave, Lame, Mathieu, and hypergeometric 2F1… 
2010
2010
Another approach to solution of fuzzy differential equations by Modified Euler's method
In this paper, numerical algorithms for solving “Fuzzy ordinary differential equations” are considered. A scheme based on the… 
2008
2008
Improving the Improved Modified Euler Method for Better Performance on Autonomous Initial Value Problems
The purpose of this paper was to propose a modification that would lead to a much improved approximation technique for the… 
2006
2006
Longevity and progressive abandonment of the Rocky Flats surface, Front Range, Colorado
Highly Cited
2001
Highly Cited
2001
Refined explicit integration of elastoplastic models with automatic error control
Effective explicit algorithms for integrating complex elastoplastic constitutive models, such as those belonging to the Cam clay… 
1983
1983
Fast Transient Stability Solution Using An Array Processor
A fast transient stability program for an array processor (FPS AP-120B) connected to a host computer (DEC VAX-11/780) has been… 
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