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- Charles William Gear

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
32
Citations
7,693
83
World Ranking
2315
National Ranking
977

2009 - SIAM Fellow For contributions to numerical methods and software for ordinary differential equations and differential-algebraic equations.

1996 - Fellow of the American Academy of Arts and Sciences

1992 - Member of the National Academy of Engineering For seminal work in methods and software for solving classes of differential equations and differential-algebraic equations of significance in applications.

- Mathematical analysis
- Algebra
- Differential equation

His main research concerns Mathematical analysis, Backward differentiation formula, Applied mathematics, Mathematical optimization and Exponential integrator. He usually deals with Mathematical analysis and limits it to topics linked to Nonlinear system and Differential algebraic geometry. His Backward differentiation formula research is included under the broader classification of Ordinary differential equation.

His Applied mathematics research includes elements of Euler lagrange, Invariant manifold, Reduction and Slow manifold. His Mathematical optimization study combines topics in areas such as Numerical methods for ordinary differential equations, Algorithm, Linear multistep method and Selection. His Exponential integrator research integrates issues from Numerical partial differential equations, Integrating factor and Examples of differential equations.

- The automatic integration of ordinary differential equations (536 citations)
- Simultaneous Numerical Solution of Differential-Algebraic Equations (518 citations)
- ODE METHODS FOR THE SOLUTION OF DIFFERENTIAL/ALGEBRAIC SYSTEMS (394 citations)

C. W. Gear mostly deals with Applied mathematics, Mathematical analysis, Differential equation, Ordinary differential equation and Differential algebraic equation. His research investigates the connection between Mathematical analysis and topics such as Stability that intersect with issues in Iterative method. His Differential equation research is multidisciplinary, incorporating perspectives in Discretization, Eigenvalues and eigenvectors and Nonlinear system.

His work in the fields of Differential algebraic equation, such as Exponential integrator, overlaps with other areas such as Differential index. His research in Exponential integrator tackles topics such as Numerical methods for ordinary differential equations which are related to areas like Algorithm. Mathematical optimization, Linear multistep method and Exact differential equation is closely connected to Backward differentiation formula in his research, which is encompassed under the umbrella topic of Numerical partial differential equations.

- Applied mathematics (34.44%)
- Mathematical analysis (27.78%)
- Differential equation (24.44%)

- Applied mathematics (34.44%)
- Mathematical analysis (27.78%)
- Slow manifold (6.67%)

His scientific interests lie mostly in Applied mathematics, Mathematical analysis, Slow manifold, Computation and Statistical physics. The concepts of his Applied mathematics study are interwoven with issues in Invariant manifold, Stationary point and Projective test. His Projective test research incorporates themes from Stability, Differential systems, Stiff equation and Ordinary differential equation.

His Mathematical analysis and Differential equation and Numerical analysis investigations all form part of his Mathematical analysis research activities. His Slow manifold study integrates concerns from other disciplines, such as Dynamical systems theory and Parameterized complexity. His biological study spans a wide range of topics, including Differential algebraic equation, Runge–Kutta methods and Algebraic equation.

- Projecting to a Slow Manifold: Singularly Perturbed Systems and Legacy Codes (153 citations)
- Coarse projective kMC integration: forward/reverse initial and boundary value problems (76 citations)
- Application of Coarse Integration to Bacterial Chemotaxis (38 citations)

- Mathematical analysis
- Algebra
- Differential equation

The scientist’s investigation covers issues in Applied mathematics, Stability, Statistical physics, Stationary point and Computation. His Applied mathematics research incorporates elements of Singular perturbation, Mathematical analysis, Initial value problem, Dynamical systems theory and Parameterized complexity. His Stability study spans across into subjects like Stiffness, Differential equation, Legacy code, Closure and Particle model.

His study of Statistical physics brings together topics like Stochastic modelling, Simulation, Computer simulation, Distribution and Variable. His work carried out in the field of Stationary point brings together such families of science as Geometry, Boundary value problem, Limit and Floquet theory. His Computation research is multidisciplinary, relying on both Complex system and Fixed point.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

The automatic integration of ordinary differential equations

C. W. Gear.

Communications of The ACM **(1971)**

834 Citations

The automatic integration of ordinary differential equations

C. W. Gear.

Communications of The ACM **(1971)**

834 Citations

Simultaneous Numerical Solution of Differential-Algebraic Equations

C. Gear.

IEEE Transactions on Circuit Theory **(1971)**

826 Citations

Simultaneous Numerical Solution of Differential-Algebraic Equations

C. Gear.

IEEE Transactions on Circuit Theory **(1971)**

826 Citations

ODE METHODS FOR THE SOLUTION OF DIFFERENTIAL/ALGEBRAIC SYSTEMS

C. W. Gear;L. R. Petzold.

SIAM Journal on Numerical Analysis **(1984)**

706 Citations

ODE METHODS FOR THE SOLUTION OF DIFFERENTIAL/ALGEBRAIC SYSTEMS

C. W. Gear;L. R. Petzold.

SIAM Journal on Numerical Analysis **(1984)**

706 Citations

Automatic integration of Euler-Lagrange equations with constraints

Charles William Gear;B. Leimkuhler;G. K. Gupta.

Journal of Computational and Applied Mathematics **(1985)**

639 Citations

Automatic integration of Euler-Lagrange equations with constraints

Charles William Gear;B. Leimkuhler;G. K. Gupta.

Journal of Computational and Applied Mathematics **(1985)**

639 Citations

Algorithm 407: DIFSUB for solution of ordinary differential equations [D2]

C. W. Gear.

Communications of The ACM **(1971)**

435 Citations

Algorithm 407: DIFSUB for solution of ordinary differential equations [D2]

C. W. Gear.

Communications of The ACM **(1971)**

435 Citations

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