C
C. W. Gear
Researcher at Princeton University
Publications - 87
Citations - 6469
C. W. Gear is an academic researcher from Princeton University. The author has contributed to research in topics: Differential algebraic equation & Exponential integrator. The author has an hindex of 36, co-authored 87 publications receiving 6240 citations. Previous affiliations of C. W. Gear include Urbana University & IBM.
Papers
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Journal ArticleDOI
Simultaneous Numerical Solution of Differential-Algebraic Equations
TL;DR: A unified method for handling the mixed differential and algebraic equations of the type that commonly occur in the transient analysis of large networks or in continuous system simulation is discussed.
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The automatic integration of ordinary differential equations
TL;DR: An integration technique for the automatic solution of an initial value problem for a set of ordinary differential equations and a criterion for the selection of the order of approximation are proposed.
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Ode methods for the solution of differential/algebraic systems
C. W. Gear,Linda R. Petzold +1 more
TL;DR: A reduction technique is described which allows systems to be reduced to ones that can be solved and provides a tool for the analytical study of the structure of systems.
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Automatic integration of Euler-Lagrange equations with constraints
TL;DR: In this paper, a technique for reducing their index from three to two is introduced and it is shown that variable-order, variable-step BDF methods converge for these index two problems.
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A User’s View of Solving Stiff Ordinary Differential Equations
Lawrence F. Shampine,C. W. Gear +1 more
TL;DR: This paper aims to assist the person who needs to solve stiff ordinary differential equations by identifying the problem area and the basic difficulty and describing the characteristics shared by methods for the numerical solution of stiff problems.