
ATFM
 Referenced in 209 articles
[sw42146]
 method for finding solitary wave solutions to nonlinear evolution equations. The tanhfunction method ... finding explicit travelling solitary wave solutions to nonlinear evolution equations is described. The method...

CLAWPACK
 Referenced in 138 articles
[sw01069]
 interface between two grid cells into waves propagating into the neighboring cells. Adaptive mesh refinement ... working on extensions to parabolic equations as well. The “wave propagation” algorithms implemented in Clawpack...

SuitSparseQR
 Referenced in 39 articles
[sw07592]
 package for solving 2D viscoacoustic wave equation. Frequencydomain finitedifference (FDFD) modelling ... presented which solves 2D viscoacoustic wave equation. The mixedgrid stencil is used...

RATH
 Referenced in 90 articles
[sw00779]
 finding travelling solitary wave solutions to nonlinear evolution equations. A Maple package RATH which outputs ... polynomial travelling solitary wave solutions of a given nonlinear evolution equation is presented. The effectiveness...

EnKF
 Referenced in 441 articles
[sw02066]
 used in realistic applications with primitive equation models for the ocean and atmosphere. A recent ... Dana McKenzie suggests that the killer heat wave that hit Central Europe in the summer...

AMRCLAW
 Referenced in 72 articles
[sw15478]
 Adaptive mesh refinement using wavepropagation algorithms for hyperbolic systems. The authors present a generalisation ... Euler equations of gas dynamics to employ highresolution wavepropagation algorithms in a more ... variety of new problems, including hyperbolic equations, which are not in a conservation form, problems...

DDESpecialSolutions
 Referenced in 35 articles
[sw12343]
 find exact traveling wave solutions of differentialdifference equations in terms of tanh functions ... tanhmethod for partial differential equations. The new algorithm is implemented in Mathematica. The package ... automatically compute traveling wave solutions of nonlinear polynomial differentialdifference equations. Use of the package...

NPspinor
 Referenced in 18 articles
[sw00633]
 selfadjoint scalar wave equation on a Petrov type D spacetime. A decomposition ... spinor of a nonselfadjoint scalar wave operator is algebraically degenerate and its principal...

Differentiation Matrix Suite
 Referenced in 254 articles
[sw12762]
 MATLAB functions for solving differential equations by the spectral collocation (i.e., pseudospectral) method is presented ... fields of special functions, quantum mechanics, nonlinear waves, and hydrodynamic stability...

Sturmian
 Referenced in 14 articles
[sw07530]
 that are solutions to an approximate wave equation with a weighted potential. The weighting factors...

HLLC
 Referenced in 72 articles
[sw06530]
 BaerNunziato equations of compressible twophase flow for the “subsonic” wave configuration. The solver ... Riemann problem. In particular, stationary contact waves are resolved exactly. We then implement and test ... HLLC solver for the BaerNunziato equations in the framework of finite volume, discontinuous Galerkin...

ParaDiag
 Referenced in 8 articles
[sw41866]
 also introduce ParaDiagII for the wave equation and an optimal control problem ... wave equation. We could have used the advectiondiffusion equation as well to illustrate ParaDiag ... wave equations are known to cause problems for certain PinT algorithms and thus constitute...

roguewaves
 Referenced in 19 articles
[sw32953]
 fundamental rogue wave solutions of the focusing nonlinear Schrödinger equation in the limit of large ... proposed RiemannHilbert representation of the rogue wave solution of arbitrary order (k), we establish ... focusing nonlinear Schrödinger equation in the rescaled variables  the rogue wave of infinite order  which ... PainlevéII equation. These properties lead us to regard the rogue wave of infinite order...

Coquelicot
 Referenced in 13 articles
[sw11552]
 solution of the onedimensional wave equation...

chammp
 Referenced in 169 articles
[sw11655]
 authors for solving shallow water equations in spherical geometry are applied to seven test cases ... over an isolated mountain, (vi) RossbyHaurwitz wave, and (vii) observed atmospheric states...

RADWEQ
 Referenced in 12 articles
[sw10750]
 solution of the Schrödinger and Dirac wave equations for central fields. Nature of problem: This ... numerical solutions of the Schrodinger and Dirac equations for central fields such that ... finite for r=0. Radial wave functions, eigenvalues for bound states and phase shifts...

WavES
 Referenced in 6 articles
[sw12488]
 WavES (Wave Equations Solutions) is a combined theoretical and practical tool for the numerical solution ... different types of timedependent Wave Equations (acoustic, elastic and electromagnetic). Theoretical tool consists ... solution of timedependent wave equations. Practical tool is represented by the C++ program library ... computational solution of timedependent wave equations (acoustic, elastic and electromagnetic) using three different methods...

DG_DATH_ELASTIC_V1.0
 Referenced in 7 articles
[sw35139]
 discontinuous Galerkin discretization of the elastic wave equation in second order form. We present ... spatial discretizations of the linear elastic wave equation. The resulting methods are stable and, depending...

ECHO
 Referenced in 29 articles
[sw22269]
 wave approximate Riemann solver is used. The induction equation is treated by adopting the Upwind ... propagation of large amplitude circularly polarized Alfven waves. In particular, we show that reconstruction based...

BEM4I
 Referenced in 9 articles
[sw18416]
 Laplace, Helmholtz, Lame, and wave equations...