• AMRCLAW

  • Referenced in 56 articles [sw15478]
  • mesh refinement using wave-propagation algorithms for hyperbolic systems. The authors present a generalisation ... mesh refinement algorithm developed for the Euler equations of gas dynamics to employ high-resolution ... variety of new problems, including hyperbolic equations, which are not in a conservation form, problems...
  • SPRINT2D

  • Referenced in 25 articles [sw00904]
  • mesh generation, spatial discretization, time integration, nonlinear equations, linear algebra, spatial adaptivity, and visualization ... includes systems of parabolic, elliptic, and hyperbolic equations; for the latter by use of Riemann...
  • GFORCE

  • Referenced in 20 articles [sw06607]
  • systems of conservation laws Numerical fluxes for hyperbolic systems and we first present a numerical ... Wendroff fluxes. For the linear advection equation with constant coefficient, the new flux reduces identically ... Multi-Stage Predictor-Corrector Fluxes for Hyperbolic Equations. Technical Report NI03037-NPA, Isaac Newton Institute ... dimensional nonlinear hyperbolic systems. Numerical results are presented for the Euler equations...
  • CLAWPACK

  • Referenced in 111 articles [sw01069]
  • amrclaw. Recent extensions allow the solution of hyperbolic problems that are not in conservation form ... actively working on extensions to parabolic equations as well. The “wave propagation” algorithms implemented ... book Finite Volume Methods for Hyperbolic Problems Virtually all of the figures in this book...
  • MUSTA

  • Referenced in 11 articles [sw09091]
  • Multi-stage predictor-corrector fluxes for hyperbolic equations, Technical Report NI03037-NPA, Isaac Newton Institute ... reference first-order method for hyperbolic systems ... least for the scalar model hyperbolic equation, the Godunov scheme is the best...
  • PDESpecialSolutions

  • Referenced in 57 articles [sw12342]
  • Symbolic computation of exact solutions expressible in hyperbolic and elliptic functions for nonlinear PDEs. Algorithms ... solutions of nonlinear ordinary and partial differential equations (ODEs and PDEs). New algorithms are given...
  • DDESpecialSolutions

  • Referenced in 34 articles [sw12343]
  • Symbolic computation of hyperbolic tangent solutions for nonlinear differential-difference equations. A new algorithm...
  • pyParareal

  • Referenced in 4 articles [sw26067]
  • well documented stability problems for hyperbolic equations. The analysis shows that the instability is caused...
  • EASY - FIT

  • Referenced in 9 articles [sw05976]
  • dimensional partial differential equations are permitted, also hyperbolic ones describing shock waves. Advection, diffusion, transport...
  • PDDE

  • Referenced in 4 articles [sw07608]
  • algorithms for solving the evolutionary equations (parabolic and hyperbolic) with the effect of heredity ... weights for the one-dimensional heat conduction equation with delay of general form, analog ... scheme with weights for the equation of hyperbolic type with delay. For the one-dimensional...
  • TURBO1

  • Referenced in 5 articles [sw12569]
  • package for the solution of the equations of hyperbolic type. The software package of TURBO1 ... decision of hyperbolic systems of the differential equations on multiprocessing computing systems with the distributed...
  • MAP

  • Referenced in 6 articles [sw11471]
  • step, component-wise schemes for hyperbolic conservative equations. The total variation diminishing (TVD) limiters...
  • SICC

  • Referenced in 7 articles [sw26948]
  • irrigation canals with constraints. The Saint-Venant equations are widely used in hydraulics to model ... canal. As a set of hyperbolic partial differential equations, they are not solved explicitly...
  • SharpClaw

  • Referenced in 18 articles [sw06638]
  • library of Fortran routines designed to solve hyperbolic systems of PDEs with arbitrarily high order ... equations is described in David Ketcheson’s Ph.D. thesis. To solve a particular hyperbolic system...
  • HyPar

  • Referenced in 2 articles [sw12619]
  • HyPar - Hyperbolic-Parabolic Partial Differential Equations Solver ... finite-difference algorithm to solve hyperbolic-parabolic equations (with source term). The hyperbolic terms ... advection-diffusion-reaction, Euler and Navier-Stokes equations, Fokker-Planck equations for power systems...
  • Racoon

  • Referenced in 13 articles [sw08867]
  • systems of hyperbolic conservation laws like the time-dependent Euler equations in compressible gas dynamics...
  • RAEEM

  • Referenced in 13 articles [sw00773]
  • Jacobi elliptic function method and the elliptic equation method. RAEEM can entirely automatically output ... solutions, including those of polynomial, exponential, triangular, hyperbolic, rational, Jacobi elliptic, Weierstrass elliptic type ... applying it to a large variety of equations. In addition to recovering previously known solutions...
  • D-Claw

  • Referenced in 6 articles [sw21531]
  • form a hyperbolic system with desirable stability properties. To solve the equations...
  • PDERecursionOperator

  • Referenced in 19 articles [sw12345]
  • form solutions of nonlinear polynomial partial differential equations (PDEs). The first package, PainleveTest.m, symbolically performs ... package, PDESpecialSolutions.m, computes exact solutions expressible in hyperbolic or elliptic functions. The third package, PDERecursionOperator.m...
  • SpEC

  • Referenced in 2 articles [sw07423]
  • outflow boundaries with respect to the hyperbolic evolution equations used in the simulation. We employ...