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Backward differentiation formula
Known as:
BDF
The backward differentiation formula (BDF) is a family of implicit methods for the numerical integration of ordinary differential equations. They are…
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Related topics
Related topics
10 relations
Backward Euler method
C. William Gear
Explicit and implicit methods
Linear multistep method
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Papers overview
Semantic Scholar uses AI to extract papers important to this topic.
Highly Cited
2017
Highly Cited
2017
A second‐order energy stable backward differentiation formula method for the epitaxial thin film equation with slope selection
Wenqiang Feng
,
Cheng Wang
,
S. Wise
,
Zhengru Zhang
2017
Corpus ID: 53558310
In this article, we study a new second‐order energy stable Backward Differentiation Formula (BDF) finite difference scheme for…
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Highly Cited
2013
Highly Cited
2013
Characterization of spray and combustion processes of biodiesel fuel injected by diesel engine common rail system
O. Kuti
,
Jingyu Zhu
,
K. Nishida
,
Xiangang Wang
,
Zuo-hua Huang
2013
Corpus ID: 53531628
Highly Cited
2012
Highly Cited
2012
An Analytical Jacobian Approach to Sparse Reaction Kinetics for Computationally Efficient Combustion Modeling with Large Reaction Mechanisms
F. Perini
,
E. Galligani
,
R. Reitz
2012
Corpus ID: 54898544
This study presents an analytical Jacobian formulation for detailed gas-phase reaction kinetics, suitable for accurate and…
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Highly Cited
2007
Highly Cited
2007
On an Implementation of the Hilber-Hughes-Taylor Method in the Context of Index 3 Differential-Algebraic Equations of Multibody Dynamics (DETC2005-85096)
D. Negrut
,
Rajiv Rampalli
,
Gisli Ottarsson
,
A. Sajdak
2007
Corpus ID: 16265618
The paper presents theoretical and implementation aspects related to a numerical integrator used for the simulation of large…
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Highly Cited
2006
Highly Cited
2006
Construction of the discrete geometric conservation law for high-order time-accurate simulations on dynamic meshes
D. Mavriplis
,
Zhi Yang
Journal of Computational Physics
2006
Corpus ID: 26068713
Highly Cited
2005
Highly Cited
2005
Turbomachinery Applications with the Time Spectral Method
E. V. D. Weide
,
A. Gopinath
,
A. Jameson
2005
Corpus ID: 17334852
This paper presents the Time Spectral Method, which is capable of significantly reducing the CPU requirements for time periodic…
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Highly Cited
2004
Highly Cited
2004
An Implicit-Explicit Runge-Kutta-Chebyshev Scheme for Diffusion-Reaction Equations
J. Verwer
,
B. Sommeijer
SIAM Journal on Scientific Computing
2004
Corpus ID: 28460328
An implicit-explicit (IMEX) extension of the explicit Runge--Kutta--Chebyshev (RKC) scheme designed for parabolic PDEs is…
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Highly Cited
2002
Highly Cited
2002
Time resolved micromagnetics using a preconditioned time integration method
D. Suess
,
V. Tsiantos
,
+5 authors
J. Miles
2002
Corpus ID: 16797041
Review
2002
Review
2002
Automatic Control and Adaptive Time-Stepping
Gustaf Söderlind
Numerical Algorithms
2002
Corpus ID: 9085878
Adaptive time-stepping is central to the efficient solution of initial value problems in ODEs and DAEs. The error committed in…
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Highly Cited
1975
Highly Cited
1975
Special stability problems for functional differential equations
V. Barwell
1975
Corpus ID: 120922116
Stability properties of numerical methods for functional differential equations, similar to A-stability for ordinary differential…
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