Concepedia

Development and comparison of a generalized semi-implicit Runge-Kutta method with Gear's method for systems of coupled differential and algebraic equations

An Feng, C. D. Holland, Steven E. Gallun

Computers & Chemical Engineering · 1984 · 25 citations · 7 references

Concepts

Natural SciencesComputational EngineeringMathematicsComputational MechanicsDifferential EquationsDynamical SystemsDifferential SystemsNumerical AlgorithmsNumerical AnalysisNumerical Methods For Differential EquationsPartial Differential EquationsSystems Of Differential EquationsCoupled Algebraic SystemsCoupled Partial Differential EquationsDifferential Equation SolversNonlinear Differential-algebraic Equations

References

7

Simultaneous Numerical Solution of Differential-Algebraic Equations

C. W. Gear · IEEE Transactions on Circuit Theory · 1971 · 639 citations · Full text

Natural Sciences, Computational Engineering, Mathematics +17

An efficient general purpose method for the intergration of stiff ordinary differential equations

Michael L. Michelsen · AIChE Journal · 1976 · 113 citations

Natural Sciences, Mathematics, Differential Equations +6

A comparison of two ode codes: gear and episode

George D. Byrne, A.C. Hindmarsh, Kenneth R. Jackson et al. · Computers & Chemical Engineering · 1977 · 57 citations

Natural Sciences, Computer Science, Mathematics +11

Gear's procedure for the simultaneous solution of differential and algebraic equations with application to unsteady state distillation problems

Steven E. Gallun, C. D. Holland · Computers & Chemical Engineering · 1982 · 36 citations

Natural Sciences, Chemical Engineering, Mathematics +9

An improved semi-implicit runge-kutta method for stiff systems

J.B. Caillaud, L. Padmanabhan · The Chemical Engineering Journal · 1971 · 32 citations

Engineering, Computational Engineering, Mechanical Engineering +8