Results 1 - 10 of 38,168

TIME- DEPENDENT PARTIAL DIFFERENTIAL EQUATIONS

by Man E, Siyt S D, Ummmiton Stamp, Mi=i Qualm X Dmimm R, Daison Mic Wdriý A, David C. Arney, Joseph, E. Flaherty
"... Apree for pub~le NI easoe; dLstrlbutiom =inlt.*4. We discuss mesh-moving, static mesh-regeneration, and local mesh-refinement algorithms that can be used with a finite difference or finite element scheme to solve initial-boundary value problems for vector systems of time-dependent partial differenti ..."
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Apree for pub~le NI easoe; dLstrlbutiom =inlt.*4. We discuss mesh-moving, static mesh-regeneration, and local mesh-refinement algorithms that can be used with a finite difference or finite element scheme to solve initial-boundary value problems for vector systems of time-dependent partial

Trefftz methods for time dependent partial differential equations

by Hokwon A. Cho, M. A. Golberg, A. S. Muleshkov, Xin Li - Comput. Mat. Cont , 2004
"... Abstract: In this paper we present a mesh-free ap-proach to numerically solving a class of second order time dependent partial differential equations which in-clude equations of parabolic, hyperbolic and parabolic-hyperbolic types. For numerical purposes, a variety of transformations is used to conv ..."
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Abstract: In this paper we present a mesh-free ap-proach to numerically solving a class of second order time dependent partial differential equations which in-clude equations of parabolic, hyperbolic and parabolic-hyperbolic types. For numerical purposes, a variety of transformations is used

Local Defect Correction for Time-Dependent Partial Differential Equations

by Remo Minero, Martijn J. H. Anthonissen, Robert M. M. Mattheij
"... A Local Defect Correction (LDC) method for solving time-dependent partial differential equations whose solutions have highly localized properties is discussed. We present some properties of the technique. Results of numerical experiments illustrate the accuracy and the efficiency of the method. 1 ..."
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A Local Defect Correction (LDC) method for solving time-dependent partial differential equations whose solutions have highly localized properties is discussed. We present some properties of the technique. Results of numerical experiments illustrate the accuracy and the efficiency of the method. 1

Implicit-Explicit Runge-Kutta Methods for Time-Dependent Partial Differential Equations

by Uri M. Ascher, Steven J. Ruuth, Raymond J. Spiteri - Appl. Numer. Math , 1997
"... Implicit-explicit (IMEX) linear multistep time-discretization schemes for partial differential equations have proved useful in many applications. However, they tend to have undesirable time-step restrictions when applied to convection-diffusion problems, unless diffusion strongly dominates and an ap ..."
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and an appropriate BDF-based scheme is selected [2]. In this paper, we develop Runge-Kutta-based IMEX schemes that have better stability regions than the best known IMEX multistep schemes over a wide parameter range. 1 Introduction When a time-dependent partial differential equation (PDE) involves terms

THE DECOMPOSITION METHOD FOR LINEAR, ONE-DIMENSIONAL, TIME-DEPENDENT PARTIAL DIFFERENTIAL EQUATIONS

by D. Lesnic , 2006
"... The analytical solutions for linear, one-dimensional, time-dependent partial differential equations subject to initial or lateral boundary conditions are reviewed and obtained in the form of convergent Adomian decomposition power series with easily computable components. The efficiency and power of ..."
Abstract - Cited by 3 (0 self) - Add to MetaCart
The analytical solutions for linear, one-dimensional, time-dependent partial differential equations subject to initial or lateral boundary conditions are reviewed and obtained in the form of convergent Adomian decomposition power series with easily computable components. The efficiency and power

Domain Decomposition By Radial Basis Functions For Time Dependent Partial Differential Equations

by Jose antonio Munoz-Gomez, Pedro Gonzalez-Casanova, Gustavo Rodriguez-Gomez, Ciencias Computacionales, Puebla Tonantzintla México - Proceedings of Advances in Computer Science and Technology: IASTED , 2006
"... In the last years, there has been an increased investigation of efficient algorithms to solve problems of great scale. The main restriction of the traditional methods, like finite difference methods and finite element methods, is the mesh generation. In this work, we investigate the overlapping doma ..."
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domain decomposition method applied to time dependent partial differential equations with unsymmetric radial basis function collocation method. Numerical experiments performed with thin-plate splines as kernel function, for an evolutionary problem in two dimensions, show a drastic time reduction as we

A Moving Collocation Method for Solving Time Dependent Partial Differential Equations

by Weizhang Huang, Robert D. Russell - Appl. Numer. Math , 1995
"... A new moving mesh method is introduced for solving time dependent partial differential equations (PDEs) in divergence form. The method uses a cell-averaging cubic Hermite collocation discretization for the physical PDEs and a three point finite difference discretization for the PDE which determines ..."
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A new moving mesh method is introduced for solving time dependent partial differential equations (PDEs) in divergence form. The method uses a cell-averaging cubic Hermite collocation discretization for the physical PDEs and a three point finite difference discretization for the PDE which determines

Adaptive radial basis function methods for time dependent partial differential equations

by Scott A. Sarra - Appl. Numer. Math.,54:79–94,2005
"... Radial basis function (RBF) methods have shown the potential to be a universal grid free method for the numerical solution of partial differential equations. Both global and compactly supported basis functions may be used in the methods to achieve a higher order of accuracy. In this paper, we take a ..."
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Radial basis function (RBF) methods have shown the potential to be a universal grid free method for the numerical solution of partial differential equations. Both global and compactly supported basis functions may be used in the methods to achieve a higher order of accuracy. In this paper, we take

The Large Discretization Step Method for Time-Dependent Partial Differential Equations

by Zigo Haras, Shlomo Ta'asan
"... A new method for the acceleration of linear and nonlinear time dependent calculations is presented. It is based on the Large Discretization Step (LDS, in short) approximation, de ned in this work, which employs an extended system of low accuracy schemes to approximate a high accuracy discrete approx ..."
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approximation to a time dependent differential operator. Error bounds on such approximations are derived. These approximations are efficiently implemented in the LDS methods for linear and nonlinear hyperbolic equations, presented here. In these algorithms the high and low accuracy schemes are interpreted

High order semi-implicit schemes for time dependent partial differential equations, submitted to Journal of Scientific Computing

by Sebastiano Boscarino, Francis Filbet, Giovanni Russo
"... Abstract. In this paper we consider a new formulation of implicit-explicit (IMEX) methods for the numerical discretization of time dependent partial differential equations. We construct several semi-implicit Runge-Kutta methods up to order three. This approach is particularly suited for problems whe ..."
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Abstract. In this paper we consider a new formulation of implicit-explicit (IMEX) methods for the numerical discretization of time dependent partial differential equations. We construct several semi-implicit Runge-Kutta methods up to order three. This approach is particularly suited for problems
Results 1 - 10 of 38,168