• ATFM

  • Referenced in 209 articles [sw42146]
  • method for finding solitary wave solutions to non-linear evolution equations. The tanh-function method ... finding explicit travelling solitary wave solutions to non-linear 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 visco-acoustic wave equation. Frequency-domain finite-difference (FDFD) modelling ... presented which solves 2D visco-acoustic wave equation. The mixed-grid 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 wave-propagation algorithms for hyperbolic systems. The authors present a generalisation ... Euler equations of gas dynamics to employ high-resolution wave-propagation 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 differential-difference equations in terms of tanh functions ... tanh-method for partial differential equations. The new algorithm is implemented in Mathematica. The package ... automatically compute traveling wave solutions of nonlinear polynomial differential-difference equations. Use of the package...
  • NPspinor

  • Referenced in 18 articles [sw00633]
  • self-adjoint scalar wave equation on a Petrov type D spacetime. A decomposition ... spinor of a non-self-adjoint 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]
  • Baer-Nunziato equations of compressible two-phase 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 Baer-Nunziato equations in the framework of finite volume, discontinuous Galerkin...
  • ParaDiag

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

  • Referenced in 19 articles [sw32953]
  • fundamental rogue wave solutions of the focusing nonlinear Schrödinger equation in the limit of large ... proposed Riemann-Hilbert 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 ... Painlevé-II equation. These properties lead us to regard the rogue wave of infinite order...
  • 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) Rossby-Haurwitz 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 time-dependent Wave Equations (acoustic, elastic and electromagnetic). Theoretical tool consists ... solution of time-dependent wave equations. Practical tool is represented by the C++ program library ... computational solution of time-dependent 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...