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ISSAC
2009
Springer
147views Mathematics» more  ISSAC 2009»
13 years 11 months ago
Fast algorithms for differential equations in positive characteristic
We address complexity issues for linear differential equations in characteristic p > 0: resolution and computation of the p-curvature. For these tasks, our main focus is on al...
Alin Bostan, Éric Schost
CMA
2010
90views more  CMA 2010»
13 years 2 months ago
Neumann problems with time singularities
: In this paper we study the existence and uniqueness of solutions to a nonlinear Neumann problem for a scalar second order ordinary differential equation u = a t u + f(t, u, u ), ...
Irena Rachunková, Svatoslav Stanek, Ewa Wei...
SIAMCO
2011
12 years 12 months ago
Nonlinear Black-Scholes Equations in Finance: Associated Control Problems and Properties of Solutions
We study properties of solutions to fully nonlinear versions of the standard Black– Scholes partial differential equation. These equations have been introduced in financial mat...
Rüdiger Frey, Ulrike Polte
AUTOMATICA
2005
103views more  AUTOMATICA 2005»
13 years 4 months ago
Periodic signal analysis by maximum likelihood modeling of orbits of nonlinear ODEs
This paper treats a new approach to the problem of periodic signal estimation. The idea is to model the periodic signal as a function of the state of a second-order nonlinear ordi...
Torsten Söderström, Torbjörn Wigren...
CPHYSICS
2008
90views more  CPHYSICS 2008»
13 years 5 months ago
Automatic computation of the travelling wave solutions to nonlinear PDEs
Various extensions of the tanh-function method and their implementations for finding explicit travelling wave solutions to nonlinear partial differential equations (PDEs) have bee...
Songxin Liang, David J. Jeffrey