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Can a Species Keep Pace with a Shifting Climate?
Consider a patch of favorable habitat surrounded by unfavorable habitat and assume that due to a shifting climate, the patch moves with a fixed speed in a one-dimensional universe. Let the patch beExpand
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Algorithm 731: A moving-grid interface for systems of one-dimensional time-dependent partial differential equations
tl;dr
We supply two FORTRAN subroutines, C WRESU and CWRESX, which compute the residuals of the differential algebraic equations (DAE) system obtained from semidiscretizing, respectively, the PDE and the set of moving-grid equations. Expand
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A numerical study of three moving-grid methods for one-dimensional partial differential equations which are based on the method of lines
In recent years, several sophisticated packages based on the method of lines (MOL) have been developed for the automatic numerical integration of time-dependent problems in partial differentialExpand
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Adaptive moving mesh computations for reaction--diffusion systems
In this paper we describe an adaptive moving mesh technique and its application to reaction-diffusion models from chemistry. The method is based on a coordinate transformation between physical andExpand
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Method of lines study of nonlinear dispersive waves
In this study, we consider partial differential equation problems describing nonlinear wave phenomena, e.g., a fully nonlinear third order Korteweg-de Vries (KdV) equation, the fourth orderExpand
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Non-equilibrium models for two phase flow in porous media: the occurrence of saturation overshoots
Several experiments have evidenced the occurrence of saturation overshoots for flows in homogeneous porous media. Such phenomena are ruled out by standard mathematical models, which are based onExpand
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Application of a moving grid method to a class of 1D brine transport problems in porous media
SUMMARY The background of this paper is the study of transport of pollutants by groundwater flow when released from a repository in a rock salt formation. Flow in regions surrounding such formationsExpand
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Balanced monitoring of flow phenomena in moving mesh methods
Adaptive moving mesh research usually focuses either on analytical derivations for prescribed solutions or on pragmatic solvers with challenging physical applications. In the latter case, the monitorExpand
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On Resistive MHD Models with Adaptive Moving Meshes
  • P. Zegeling
  • Computer Science, Mathematics
  • J. Sci. Comput.
  • 1 August 2005
tl;dr
We describe an adaptive moving mesh technique and its application to convection-diffusion models from magnetohydrodynamics (MHD). Expand
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