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SIAMSC
2008
117views more  SIAMSC 2008»
13 years 7 months ago
Adaptive, Fast, and Oblivious Convolution in Evolution Equations with Memory
To approximate convolutions which occur in evolution equations with memory terms, a variable-stepsize algorithm is presented for which advancing N steps requires only O(N log N) op...
María López-Fernández, Christ...
APPML
2010
88views more  APPML 2010»
13 years 7 months ago
Evolution of weak discontinuities in shallow water equations
In this paper, we determine the critical time, when a weak discontinuity in the shallow water equations culminates into a bore. Invariance group properties of the governing system...
T. Raja Sekhar, V. D. Sharma
IJBC
2008
96views more  IJBC 2008»
13 years 6 months ago
Fractional Processes: from Poisson to Branching One
Fractional generalizations of the Poisson process and branching Furry process are considered. The link between characteristics of the processes, fractional differential equations ...
V. V. Uchaikin, D. O. Cahoy, R. T. Sibatov
SIAMADS
2010
63views more  SIAMADS 2010»
13 years 2 months ago
Time Integration and Steady-State Continuation for 2d Lubrication Equations
Lubrication equations describe many structuring processes of thin liquid films. We develop and apply a numerical framework suitable for their analysis employing a dynamical systems...
Philippe Beltrame, Uwe Thiele
MOC
1998
108views more  MOC 1998»
13 years 7 months ago
Numerical conformal mapping based on the generalised conjugation operator
Abstract. An iterative procedure for numerical conformal mapping is presented which imposes no restriction on the boundary complexity. The formulation involves two analytically equ...
Bao Cheng Li, Stavros Syngellakis