Asimptotski ograničena rešenja nekih diferencijalnih jednačina
Slučaj periodičnih funkcija kod generalizacije"hemijske jednačine"
Asimptotski ograničena i periodična rešenja diferencijalnih jednačina sa kašnjenjem
Singularne tačke i periodična rešenja diferencijalnih jednačina
Spectral Galerkin approximation of Fokker-Planck equations with unbounded drift
This paper is concerned with the analysis and implementation of spectral Galerkin methods for a class of Fokker-Planck equations that arises from the kinetic theory of dilute polymers. A relevant feature of the class of equations under consideration from the viewpoint of mathematical analysis and numerical approximation is the presence of an unbounded drift coefficient, involving a smooth convex potential that is equal to along the boundary of the computational domain . Using a symmetrization...
Some characteristics of Hill's equations
Periodical solutions of some differential equations with small parameter
A note on bounded, periodic and stable solutions of differential equations
Spectral Galerkin approximation of Fokker-Planck equations with unbounded drift
This paper is concerned with the analysis and implementation of spectral Galerkin methods for a class of Fokker-Planck equations that arises from the kinetic theory of dilute polymers. A relevant feature of the class of equations under consideration from the viewpoint of mathematical analysis and numerical approximation is the presence of an unbounded drift coefficient, involving a smooth convex potential that is equal to +∞ along the boundary ∂ of the computational domain . Using a symmetrization...
A heterogeneous alternating-direction method for a micro-macro dilute polymeric fluid model
We examine a heterogeneous alternating-direction method for the approximate solution of the FENE Fokker–Planck equation from polymer fluid dynamics and we use this method to solve a coupled (macro-micro) Navier–Stokes–Fokker–Planck system for dilute polymeric fluids. In this context the Fokker–Planck equation is posed on a high-dimensional domain and is therefore challenging from a computational point of view. The heterogeneous alternating-direction scheme combines a spectral Galerkin method for...
Asimptotska rešenja nekih sistema diferencijalnih jednačina
Jedna diferencijalna jednačina racionalne desne strane
A Static condensation Reduced Basis Element method : approximation and a posteriori error estimation
We propose a new reduced basis element-cum-component mode synthesis approach for parametrized elliptic coercive partial differential equations. In the Offline stage we construct a Library of interoperable parametrized reference relevant to some family of problems; in the Online stage we instantiate and connect reference components (at ports) to rapidly form and query parametric . The method is based on static condensation at the interdomain level, a conforming eigenfunction “port” representation...
Increasing solutions of .
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