Results 191 to 200 of about 52,350 (200)
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Asymptotic Analysis for a Class of Infinite Systems of First-Order PDE: Nonlinear Parabolic PDE in the Singular Limit

Communications in Partial Differential Equations, 2003
Abstract We study the asymptotic behavior of solutions of the Cauchy problem for a functional partial differential equation with a small parameter as the parameter tends to zero. We establish a convergence theorem in which the limit problem is identified with the Cauchy problem for a nonlinear parabolic partial differential equation.
Hitoshi Ishii, Kazufumi Shimano
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Exact particle flow for nonlinear filters: Seventeen dubious solutions to a first order linear underdetermined PDE

2010 Conference Record of the Forty Fourth Asilomar Conference on Signals, Systems and Computers, 2010
We solve the important and well known problem with particle filters, called “particle degeneracy” or “particle collapse”. This new filter theory is a radical departure from all other particle filters in five ways: (a) we do not use any proposal density; (b) we never resample particles; (c) we compute Bayes' rule by particle flow rather than as a ...
Fred Daum, Jim Huang
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Guaranteed cost distributed fuzzy control design for a class of nonlinear first-order hyperbolic PDE systems

2012 American Control Conference (ACC), 2012
This paper is concerned with the guaranteed cost distributed fuzzy (GCDF) control design problem for a class of nonlinear distributed parameter systems described by first-order hyperbolic partial differential equations (PDEs). Using the Takagi-Sugeno (T-S) fuzzy PDE modeling method, a T-S fuzzy PDE model is initially proposed to accurately represent ...
null Jun-Wei Wang, null Huai-Ning Wu
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New evolution equations for the joint response-excitation probability density function of stochastic solutions to first-order nonlinear PDEs

Journal of Computational Physics, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Venturi, D., Karniadakis, G. E.
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Analyticity and Smoothness for a Class of First Order Nonlinear PDEs

2015
We study the microlocal analyticity and smoothness for the solutions of a class of first order complex nonlinear partial differential equations of the form \(u_t=f(x,t,u,u_x)\).
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RESULTS ON SOLUTIONS FOR SEVERAL SYSTEMS OF THE FIRST ORDER NONLINEAR PDES AND PDDES IN C2

Turkic World Mathematical Society (TWMS) Journal of Pure and Applied Mathematics
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