Keeping the edge: A numerical method that avoids knickpoint smearing when solving the stream power law

2015 ◽  
Vol 120 (7) ◽  
pp. 1189-1205 ◽  
Author(s):  
Benjamin Campforts ◽  
Gerard Govers
Keyword(s):  
Numerical Method ◽  
Power Law ◽  
Stream Power

Convergence and approximate calculation of average degree under different network sizes for decreasing random birth-and-death networks

2018 ◽  
Vol 32 (15) ◽  
pp. 1850159
Author(s):  
Yin Long ◽  
Xiao-Jun Zhang ◽  
Kui Wang
Keyword(s):  
Analytical Solution ◽  
Numerical Method ◽  
Power Law ◽  
Approximate Calculation ◽  
Approximate Expression ◽  
Network Size ◽  
Average Degree ◽  
Large Network ◽  
Network Link ◽  
Theoretical Results

In this paper, convergence and approximate calculation of average degree under different network sizes for decreasing random birth-and-death networks (RBDNs) are studied. First, we find and demonstrate that the average degree is convergent in the form of power law. Meanwhile, we discover that the ratios of the back items to front items of convergent reminder are independent of network link number for large network size, and we theoretically prove that the limit of the ratio is a constant. Moreover, since it is difficult to calculate the analytical solution of the average degree for large network sizes, we adopt numerical method to obtain approximate expression of the average degree to approximate its analytical solution. Finally, simulations are presented to verify our theoretical results.

scholarly journals On different types of adjustment usable to calculate the parameters of the stream power law

Geomorphology ◽  
2012 ◽  
Vol 138 (1) ◽  
pp. 203-208 ◽  
Author(s):  
Alain Demoulin ◽  
Arnaud Beckers ◽  
Benoît Bovy
Keyword(s):  
Power Law ◽  
Stream Power ◽  
Different Types

Numerical method in the analysis of slider bearing with Power-law fluid

2005 ◽  
Vol 162 (1) ◽  
pp. 491-501 ◽  
Author(s):  
Muhammet Yürüsoy ◽  
Hüseyin Bayrakçeken
Keyword(s):  
Numerical Method ◽  
Power Law ◽  
Slider Bearing ◽  
Power Law Fluid

scholarly journals Geologic constraints on bedrock river incision using the stream power law

1999 ◽  
Vol 104 (B3) ◽  
pp. 4983-4993 ◽  
Author(s):  
Jonathan D. Stock ◽  
David R. Montgomery
Keyword(s):  
Power Law ◽  
Stream Power ◽  
River Incision ◽  
Bedrock River Incision

DILATON COSMOLOGY

2010 ◽  
Vol 25 (40) ◽  
pp. 3395-3407
Author(s):  
Z. G. HUANG ◽  
W. FANG ◽  
H. Q. LU
Keyword(s):  
Numerical Method ◽  
Power Law ◽  
Density Perturbation ◽  
Gravitational Theory ◽  
Jordan Frame ◽  
Dilaton Field ◽  
Exponential Potential ◽  
Accelerating Expansion ◽  
Experimental Constraint ◽  
The Universe

In Brans–Dicke gravitational theory, an analytical accelerating expansion solution of the Universe is found at the dilaton dominated epoch. Both Einstein frame (EF) and Jordan frame (JF) are applied. We consider the form of exponential potential of dilaton field in EF while we consider the power law potential in JF. In matter and dilaton coexisting epoch, only the decelerating expansion solution without potential is considered with experimental constraint α2<0.001. If the power law potential of dilaton field is applied in JF, some authors found the dilaton field can act as quintessence based numerical method.1 We find that the influence of dilaton will not change the evolutionary law of density perturbation of baryon matter.

scholarly journals Erosional response of an actively uplifting mountain belt to cyclic rainfall variations

2014 ◽  
Vol 2 (2) ◽  
pp. 971-1004 ◽  
Author(s):  
J. Braun ◽  
C. Voisin ◽  
A. T. Gourlan ◽  
C. Chauvel
Keyword(s):  
Power Law ◽  
Coming Out ◽  
Numerical Solutions ◽  
Rainfall Variability ◽  
Time Lag ◽  
Mountain Range ◽  
Stream Power ◽  
Mountain Belt ◽  
Rainfall Variations ◽  
Mountain Belts

Abstract. We present an approximate analytical solution to the stream power equation describing the erosion of bedrock in an actively uplifting mountain range subject to periodic variations in precipitation rate. It predicts a time lag between the climate forcing and the erosional response of the system that increases with the forcing period. The predicted variations in the sedimentary flux coming out of the mountain are also scaled with respect to the imposed rainfall variations in a direct proportion to the discharge exponent, m, in the stream power law expression. These findings are confirmed by 1-D and 2-D numerical solutions. We also show that the response of a river channel is independent of its length and thus the size of its catchment area, implying that all actively eroding streams in a mountain belt will constructively contribute to the integrated signal in the sedimentary record. We show that rainfall variability at Milankovitch periods should affect the erosional response of fast uplifting mountain belts such as the Himalayas, Taiwan or the South Island, New Zealand, and predict 1–10 thousand years offsets between forcing and response. We suggest that this theoretical prediction could be used to independently constrain the value of the poorly defined stream power law exponents, and provide an example of how this could be done, using geochemical proxy signals from an ODP borehole in the Bengal Fan.

Sign in / Sign up

Export Citation Format

Share Document