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  • 65-XX Numerical analysis
  • 65Lxx Ordinary differential equations
  • 65L05 Initial value problems

65Lxx Ordinary differential equations

  • 65L03 Functional-differential equations
  • 65L04 Stiff equations
  • 65L05 Initial value problems
  • 65L06 Multistep, Runge-Kutta and extrapolation methods
  • 65L07 Numerical investigation of stability of solutions
  • 65L08 Improperly posed problems
  • 65L09 Inverse problems
  • 65L10 Boundary value problems
  • 65L11 Singularly perturbed problems
  • 65L12 Finite difference methods
  • 65L15 Eigenvalue problems
  • 65L20 Stability and convergence of numerical methods
  • 65L50 Mesh generation and refinement
  • 65L60 Finite elements, Rayleigh-Ritz, Galerkin and collocation methods
  • 65L70 Error bounds
  • 65L80 Methods for differential-algebraic equations
  • 65L99 None of the above, but in this section
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Half-explicit Runge-Kutta methods for semi-explicit differential-algebraic equations of index 1.

K. Strehmel, R. Weiner, M. Arnold (1993)

Numerische Mathematik

Herleitung von Runge-Kutta-Verfahren der Ordnung vier mit übersichtlichen Fehlerdarstellungen.

Rudolf Scherer (1972)

Mathematische Zeitschrift

High order explicit Runge-Kutta pairs for ephemerides of the solar system and the Moon.

Sharp, Philip W. (2000)

Journal of Applied Mathematics and Decision Sciences

High Order Methods for the Numerical Integration of Ordinary Differential Equations.

J.R. Cash (1978)

Numerische Mathematik

High Order P-Stable Formulae for the Numerical Integration of Periodic Initial Value Problems.

J.R. Cash (1981)

Numerische Mathematik

Higher-index differential-algebraic equations: analysis and numerical treatment

Roswitha März (1990)

Banach Center Publications

How to Increase the Order to Get Minimal-Error Algorithms for Systems of ODE.

B.Z. Kacewicz (1984)

Numerische Mathematik

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