SIAM Journal on Numerical Analysis · 1992 · 40 citations · 6 references
Natural SciencesMathematicsComputational MechanicsDifferential EquationsHyperbolic DynamicsNumerical AlgorithmsNumerical AnalysisNumerical Methods For Differential EquationsNumerical StabilityPartial Differential EquationsHyperbolic Partial Differential EquationsMethod Of LinesNumerical Analysis Of Partial Differential EquationsNumerical Solutions Of Partial Differential Equations
Runge–Kutta methods are applied to the numerical solution of hyperbolic partial differential equations. Conditions that they are locally stable are derived.MSC codes65L20
6
Numerical Initial Value Problems in Ordinary Differential Equations
James Watt · The Computer Journal · 1972 · 3.6K citations
Computer Solution of Ordinary Differential Equations
J. D. Lambert · The Computer Journal · 1976 · 344 citations · Full text
Stability of the method of lines
Lloyd N. Trefethen · Numerische Mathematik · 1992 · 150 citations