Results 171 to 180 of about 27,402 (200)

Galerkin Projections for Delay Differential Equations

Journal of Dynamic Systems, Measurement, and Control, 2003
We present a Galerkin projection technique by which finite-dimensional ordinary differential equation (ODE) approximations for delay differential equations (DDEs) can be obtained in a straightforward fashion. The technique requires neither the system to be near a bifurcation point, nor the delayed terms to have any specific restrictive form, or even ...
Wahi, Pankaj, Chatterjee, Anindya
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Galerkin’s Projection Framework for BCI CTMs—Part I: Extended FANTASTIC Approach

IEEE Transactions on Components, Packaging and Manufacturing Technology, 2021
A general Galerkin's projection framework is proposed for the definition of boundary condition independent (BCI) compact thermal models (CTMs). First, it is shown how the proposals of BCI CTMs, deriving from the works of Bar-Cohen and Sabry, can be straightforwardly reinterpreted within this framework.
Lorenzo Codecasa, Vincenzo d'Alessandro, Robin Bornoff   +2 more
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Nonlinear Projection Filter Based on Galerkin Approximation

Journal of Guidance, Control, and Dynamics, 1999
The conditional probability density function of the state of a stochastic dynamic system represents the complete solution to the nonlinear Ž ltering problem because, with the conditional density in hand, all estimates of the state, optimal or otherwise, can be computed.
Randal Beard, John Kenney, Jacob Gunther, Jonathan Lawton, Wynn Stirling   +4 more
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Galerkin Projections and Finite Elements for Fractional Order Derivatives

Nonlinear Dynamics, 2006
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Singh, Satwinder Jit, Chatterjee, Anindya   +1 more
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Using a Galerkin Projection Method for Coupled Problems

IEEE Transactions on Magnetics, 2008
For coupled problems, two different coupling strategies, either direct or indirect, can be used. One of the advantages of the indirect coupling strategy is its ability to solve each problem separately on dedicated meshes. However, such a technique requires a projection method of each solution obtained on one mesh onto another one.
Parent, Guillaume, Dular, P., Ducreux, J.-P., Piriou, F.   +3 more
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A Galerkin projection method for mixed finite elements

IEEE Transactions on Magnetics, 1999
The aim of the proposed method is the projection of an electromagnetic field belonging to a given function space (continuous or not) onto a discrete one spanned by finite element basis functions. This technique is useful for imposing inhomogeneous boundary conditions or volumic source fields, for calculating a dual field given the primal one or for ...
Geuzaine, Christophe, Meys, B., Dular, Patrick, Henrotte, F., Legros, Willy   +4 more
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A semi-Lagrangian-Galerkin projection scheme for convection equations

IMA Journal of Numerical Analysis, 2009
We introduce in this paper a semi-Lagrangian-Galerkin projection scheme to discretize backwards in time along the characteristics the convection terms of convection-diffusion equations. The scheme consists of a transport step in which the elements of the fixed mesh are transported backwards along the characteristic curves, thus generating a new mesh ...
R. Bermejo, J. Carpio
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Multiple Scales via Galerkin Projections: Approximate Asymptotics for Strongly Nonlinear Oscillations

Nonlinear Dynamics, 2003
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Das, SL, Chatterjee, A
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Bounds of Galerkin Projections on Splines with Highly Nonuniform Meshes

SIAM Journal on Numerical Analysis, 1981
Let u be the solution of an ordinary boundary value problem and $P^\pi u$ the Galerkin projection on a space of piecewise polynomial functions of degree $ \leqq r$. We are going to prove that the following estimate holds with $L_\infty $-norms; \[ \left\| {P^\pi u - u} \right\|_{[0,1]} \leqq C \mathop {\max }\limits_i h_i^{ * r + 1} \left\| {u^{(r + 1)}
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Multigrid transfers for nonsymmetric systems based on Schur complements and Galerkin projections

Numerical Linear Algebra with Applications, 2013
SUMMARYA framework is proposed for constructing algebraic multigrid transfer operators suitable for nonsymmetric positive definite linear systems. This framework follows a Schur complement perspective as this is suitable for both symmetric and nonsymmetric systems.
Wiesner, T. A., Tuminaro, R. S., Wall, W. A., Gee, M. W.   +3 more
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