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- Fredi Tröltzsch

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
36
Citations
6,913
157
World Ranking
1762
National Ranking
102

Engineering and Technology
D-index
36
Citations
6,882
149
World Ranking
4758
National Ranking
158

- Mathematical analysis
- Partial differential equation
- Real number

Fredi Tröltzsch focuses on Optimal control, Pointwise, Mathematical analysis, Nonlinear system and Parabolic partial differential equation. The various areas that Fredi Tröltzsch examines in his Optimal control study include Partial differential equation, Order and Applied mathematics. His Applied mathematics study incorporates themes from Numerical partial differential equations, First-order partial differential equation, Method of characteristics, Stochastic partial differential equation and Costate equations.

His Pointwise research incorporates elements of Function space and Lagrange multiplier, Quadratic programming, Mathematical optimization. His research investigates the link between Nonlinear system and topics such as Domain that cross with problems in Smoothness. His work deals with themes such as Hyperbolic partial differential equation, Delay differential equation, Exponential integrator and Calculus, which intersect with Parabolic partial differential equation.

- Optimal Control of Partial Differential Equations: Theory, Methods and Applications (733 citations)
- Optimal Control of Partial Differential Equations (343 citations)
- Error Estimates for the Numerical Approximation of a Semilinear Elliptic Control Problem (219 citations)

Fredi Tröltzsch mainly focuses on Optimal control, Mathematical analysis, Applied mathematics, Pointwise and Mathematical optimization. His work carried out in the field of Optimal control brings together such families of science as Lagrange multiplier and Partial differential equation, Parabolic partial differential equation, Nonlinear system. In general Mathematical analysis, his work in Boundary value problem, Discretization, Maxwell's equations and Elliptic partial differential equation is often linked to Type linking many areas of study.

His Applied mathematics course of study focuses on Differentiable function and Reaction–diffusion system. His Pointwise study also includes fields such as

- Function space which is related to area like Interior point method,
- Optimization problem, which have a strong connection to Constrained optimization. His study looks at the intersection of Mathematical optimization and topics like Banach space with Sequential quadratic programming.

- Optimal control (73.75%)
- Mathematical analysis (36.87%)
- Applied mathematics (30.00%)

- Applied mathematics (30.00%)
- Optimal control (73.75%)
- Nonlinear system (21.88%)

His primary scientific interests are in Applied mathematics, Optimal control, Nonlinear system, Differentiable function and Quadratic equation. He has included themes like Discretization, Elliptic curve, Parabolic partial differential equation and Domain in his Applied mathematics study. His Parabolic partial differential equation research is multidisciplinary, relying on both Piecewise linear function and Newton's method.

He interconnects Pointwise and Heat equation in the investigation of issues within Optimal control. As a part of the same scientific family, Fredi Tröltzsch mostly works in the field of Pointwise, focusing on Lagrange multiplier and, on occasion, Linear programming, Norm and Hilbert space. In his study, Field is inextricably linked to Banach space, which falls within the broad field of Nonlinear system.

- Unstructured Space-Time Finite Element Methods for Optimal Control of Parabolic Equations (6 citations)
- Optimal control of a class of reaction-diffusion systems (6 citations)
- Optimal control of some quasilinear Maxwell equations of parabolic type (5 citations)

- Mathematical analysis
- Partial differential equation
- Real number

His scientific interests lie mostly in Optimal control, Applied mathematics, Nonlinear system, Differentiable function and Space time. His Optimal control research is multidisciplinary, incorporating elements of Pointwise, Adjoint equation, Parabolic partial differential equation and Implicit function theorem. The study incorporates disciplines such as Lagrange multiplier, Reaction–diffusion system, Elliptic curve, Optimization problem and Domain in addition to Pointwise.

His Adjoint equation study is focused on Mathematical analysis in general. His work carried out in the field of Implicit function theorem brings together such families of science as Field, Banach space and Functional derivative. His Applied mathematics research integrates issues from Heat equation, Sparse control, Order and Countable set.

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.

Optimal Control of Partial Differential Equations: Theory, Methods and Applications

Fredi Tröltzsch.

**(2010)**

1632 Citations

Optimal Control of Partial Differential Equations

Karl-Heinz Hoffmann;Günter Leugering;Fredi Tröltzsch;Stiftung Caesar.

**(2010)**

563 Citations

Optimale Steuerung partieller Differentialgleichungen

Fredi Tröltzsch.

**(2005)**

467 Citations

Error Estimates for the Numerical Approximation of a Semilinear Elliptic Control Problem

Nadir Arada;Eduardo Casas;Fredi Tröltzsch.

Computational Optimization and Applications **(2002)**

338 Citations

POD a-posteriori error estimates for linear-quadratic optimal control problems

F. Tröltzsch;S. Volkwein.

Computational Optimization and Applications **(2009)**

182 Citations

Optimal Control of PDEs with Regularized Pointwise State Constraints

Christian Meyer;Arnd Rösch;Fredi Tröltzsch.

Computational Optimization and Applications **(2006)**

172 Citations

Sufficient Second-Order Optimality Conditions for Semilinear Control Problems with Pointwise State Constraints

Eduardo Casas;Juan Carlos de los Reyes;Fredi Tröltzsch.

Siam Journal on Optimization **(2008)**

154 Citations

Error Estimates for the Numerical Approximation of Boundary Semilinear Elliptic Control Problems

Eduardo Casas;Mariano Mateos;Fredi Tröltzsch.

Computational Optimization and Applications **(2005)**

149 Citations

Second-Order Necessary and Sufficient Optimality Conditions for Optimization Problems and Applications to Control Theory

Eduardo Casas;Fredi Tröltzsch.

Siam Journal on Optimization **(2002)**

127 Citations

Second Order Sufficient Optimality Conditions for Nonlinear Parabolic Control Problems with State Constraints

Jean-Pierre Raymond;Fredi Tröltzsch.

Discrete and Continuous Dynamical Systems **(2000)**

119 Citations

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