Menu
  • About & Contact
  • Feedback
  • Contribute
  • Help
  • zbMATH

swMATH

swmath-logo
  • Search
  • Advanced search
  • Browse
  • browse software by name
  • browse software by keywords
  • browse software by MSC
  • browse software by types

M3RK

Algorithm 553: M3RK, an explicit time integrator for semidiscrete parabolic equations (Source: http://dl.acm.org/)

This software is also peer reviewed by journal TOMS.

Keywords for this software

Anything in here will be replaced on browsers that support the canvas element

  • parabolic partial differential equations
  • one-step line hopscotch method
  • semidiscretization
  • stiff systems
  • explicit three-step Runge-Kutta methods
  • Golgstein- Rall equations
  • accurate
  • semidiscrete evolution systems
  • Fortran version
  • explicit time integrator
  • semi-discrete parabolic partial differential equations
  • Runge-Kutta methods with extended regions of stability
  • Runge-Kutta-Chebyshev methods
  • semidiscrete spatial differencing or finite element projection
  • parabolic transport equations
  • efficient
  • explicit two-step Runge-Kutta methods
  • grid generation
  • semidiscretization method
  • numerical tests
  • stability
  • numerical examples
  • explicit Runge-Kutta methods
  • 4-stage order 5 method
  • nerve conduction
  • comparison
  • systems of ordinary differential equations
  • explicit stabilized Runge-Kutta methods
  • partial differential equations
  • Runge-Kutta formulas of Chebychev type

  • URL: dl.acm.org/citation.cf...
  • InternetArchive
  • Authors: Verwer, J.G.

  • Add information on this software.


  • Related software:
  • RKC
  • RODAS
  • VODE
  • IRKC
  • DASSL
  • SERK2v3
  • ALGOL 68
  • RKSUITE
  • DIFSUB
  • MEBDF
  • Show more...
  • SERK2
  • GEAR
  • Show less...

References in zbMATH (referenced in 11 articles , 1 standard article )

Showing results 1 to 11 of 11.
y Sorted by year (citations)

  1. Tang, Xiao; Xiao, Aiguo: Improved Runge-Kutta-Chebyshev methods (2020)
  2. Sommeijer, B. P.; Shampine, L. F.; Verwer, J. G.: RKC: An explicit solver for parabolic PDEs (1998)
  3. Verwer, J. G.: Explicit Runge-Kutta methods for parabolic partial differential equations (1996)
  4. Jackiewicz, Zdzislaw; Renaut, Rosemary Anne; Zennaro, Marino: Explicit two-step Runge-Kutta methods (1995)
  5. Pauwelussen, Joop: One way traffic of pulses in a neuron (1982)
  6. Pauwelussen, J. P.: Nerve impulse propagation in a branching nerve system: a simple model (1981)
  7. Sepehrnoori, K.; Carey, G. F.: Numerical integration of semidiscrete evolution systems (1981)
  8. Verwer, J. G.: Algorithm 553: M3RK, an explicit time integrator for semidiscrete parabolic equations ([D3]) (1980)
  9. Verwer, J. G.: An implementation of a class of stabilized explicit methods for the time integration of parabolic equations (1980)
  10. van der Houwen, P. J.; Sommeijer, B. P.; Verwer, J. G.: Comparing time integrators for parabolic equations in two space dimensions with a mixed derivative (1979)
  11. Verwer, J. G.: A class of stabilized three-step Runge-Kutta methods for the numerical integration of parabolic equations (1977)

  • Article statistics & filter:

  • Search for articles
  • MSC classification / top
    • Top MSC classes
      • 35 Partial differential...
      • 65 Numerical analysis
      • 68 Computer science
      • 74 Mechanics of deformable...
      • 92 Applications of...
    • Other MSC classes
      • 34 Ordinary differential...
      • 37 Dynamical systems and...
      • 76 Fluid mechanics

  • Publication year
    • 2010 - today
    • 2005 - 2009
    • 2000 - 2004
    • before 2000

  • Chart: cumulative / absolute
  • Terms & Conditions
  • Imprint
  • Privacy Policy