ACM SIGNUM Newsletter · 1980 · 906 citations · 0 references
Natural SciencesMathematicsComputational MechanicsComputational PhysicsDifferential EquationsInitial ConditionsInitial Value ProblemsNumerical AlgorithmsNumerical AnalysisNumerical Methods For Differential EquationsSystems Of Differential EquationsDifferential Equation SolversInitial Value Problem FormulationInitial Value Problem SolversNumerical Methods For Initial Value ProblemsNumerical Solutions Of Ordinary Differential EquationsOrdinary Differential Equation SolversStiff Equation SolversStiff Initial Value Problems
Two new packages are available for the numerical solution of the initial value problem for stiff and nonstiff systems of ordinary differential equations (ODE's). LSODE solves explicitly given ODE systems, while LSODI solves systems given in linearly implicit form, including differential-algebraic systems. Both are based on older packages that have proved highly popular, but both reflect a wide variety of improvements in the design of the user interface, algorithms, and program structure.