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Synchrosqueezed Wave Packet Transform for 2D Mode Decomposition
wave packet transform synchrosqueezing clustering local wavevector phase space representation empirical mode decomposition
2015/7/14
This paper introduces the synchrosqueezed wave packet transform as a method for analyzing twodimensional images. This transform is a combination of wave packet transforms of a certain geometric scalin...
SYNCHROSQUEEZED CURVELET TRANSFORM FOR TWO-DIMENSIONAL MODE DECOMPOSITION
curvelet transform synchrosqueezing banded wave-like components local wavevector phase space representation
2015/7/14
This paper introduces the synchrosqueezed curvelet transform as an optimal tool for two-dimensional mode decomposition of wavefronts or banded wave-like components. The synchrosqueezed curvelet transf...
We give a decomposition of triply rooted trees into three doubly rooted trees. This leads to a combinatorial interpretation of an identity conjectured by Lacasse in the study of the PAC-Bayesian machi...
Modified Laplace decomposition method
Modified Laplace decomposition method Exact solution
2010/9/25
In this paper, a reliable modification of Laplace decomposition method (LDM), namely the modified Laplace decomposition method (MLDM) is presented. The scheme is tested for some examples and the resul...
Approximate low rank solution of generalized Lyapunov matrix equations via proper orthogonal decomposition
Generalized Lyapunov matrix equations approximation theory
2010/9/20
We generalized a direct method for generalized Lyapunov matrix equation, using proper orthogonal decomposition (POD). Such equations arise in model reduction of descriptor systems.
Adomian decomposition method (ADM) for nonlinear wave-like equations with variable coefficient
Adomian decomposition wave-like equation variable coefficient
2010/9/27
The Adomian Decomposition Method (ADM) has been widely applied in solving partial differential equations which represent various phenomena in engineering and physics. This method is easy to program an...
Fiber-wise Calderón-Zygmund decomposition and application to a bi-dimensional paraproduct
Fiber-wise Calderón-Zygmund decomposition bi-dimensional paraproduct
2010/11/22
We are interested in a new kind of bi-dimensional bilinear paraproducts (appearing in [6]), which do not fit into the setting of bilinear Calder\'on-Zygmund operators. In this paper we propose a fiber...
Minimizing Communication for Eigenproblems and the Singular Value Decomposition
Minimizing Communication Eigenproblems the Singular Value Decomposition
2010/11/19
Algorithms have two costs: arithmetic and communication. The latter represents the cost of moving data, either between levels of a memory hierarchy, or between processors over a network. Communicatio...
Restarted Adomian decomposition method to systems of nonlinear algebraic equations
Adomian decomposition method Restarted Adomian method
2010/9/13
In this paper we apply restarted Adomian decomposition method, based on standard Adomian method for solving system of nonlinear algebraic equations. Illustrative examples have been presented, to demon...
Solution of Blasius equation by decomposition
Fluid Dynamics Partial Differential Operator and Decomposition Method
2010/9/13
The Blasius equation is a well-known third-order nonlinear ordinary differential equation, which arises in certain boundary layer problems in the fluid dynamics.
An algorithm for solving initial value problems using Laplace Adomian decomposition method
Laplace Adomian decomposition method Initial value problems Symbolic computation
2010/9/14
In this paper, we present a symbolic algorithm for solving a class of nth order linear or nonlinear ordinary differential equations with initial conditions. This algorithm is based on Laplace Adomian ...
Application of Adomian decomposition method to study heart valve vibrations
Fractional derivative Semilunar heart valve vibrations
2010/9/15
The objective of this paper is to solve the equation of motion of semilunar heart valve vibrations. The vibrations of the closed semilunar valves were modeled with a Caputo fractional derivative of or...
New approach to mixture of the Adomian decomposition and homotopy perturbation method for approximate and analytical solution of integral equations and fractional differential equations
Homotopy perturbation method Adomian Decomposition method
2010/9/17
Nonlinear phenomena play a crucial role in applied mathematics and physics. Analytic solutions to the nonlinear equations are of fundamental importance. Various methods for obtaining Analytic solution...
Variational iteration and Adomian decomposition methods for solving Kawahara and modified Kawahara equations
Kawahara equation Modified Kawahara equation
2010/9/14
This paper applies variational iteration method (VIM) and Adomian decomposition method (ADM) for finding analytical approximation traveling wave solutions to the Kawahara and modified Kawahara equatio...
Solving fuzzy linear system of equations by using householder decomposition method
fuzzy linear systems householder method QR-decomposition
2010/9/14
Linear systems have important applications to many branches of science and engineering. In many applications, at least some of the parameters of the system are represented by fuzzy rather than crisp n...