What is he best known for?
The fields of study he is best known for:
- Mathematical analysis
- Real number
- Mathematical optimization
The scientist’s investigation covers issues in Mathematical analysis, Optimal control, Variational analysis, Lipschitz continuity and Applied mathematics.
Backward Euler method and Runge–Kutta methods are subfields of Mathematical analysis in which his conducts study.
His Optimal control research is multidisciplinary, incorporating perspectives in Discretization, Optimization problem, Euler method and Sensitivity.
His Variational analysis study incorporates themes from Variational inequality and Parameterized complexity.
His Lipschitz continuity research also works with subjects such as
- Discrete mathematics that intertwine with fields like Lipschitz domain,
- Nonlinear programming together with Pure mathematics and Convex set.
His studies in Applied mathematics integrate themes in fields like Hadamard transform, Stability result, Implicit function and Relaxation.
His most cited work include:
- Implicit Functions and Solution Mappings (515 citations)
- Well-Posed Optimization Problems (357 citations)
- Implicit Functions and Solution Mappings: A View from Variational Analysis (285 citations)
What are the main themes of his work throughout his whole career to date?
Asen L. Dontchev focuses on Mathematical analysis, Optimal control, Applied mathematics, Lipschitz continuity and Pure mathematics.
His Mathematical analysis course of study focuses on Newton's method and Numerical analysis.
His biological study spans a wide range of topics, including Discretization, Model predictive control and Nonlinear system.
He interconnects Stability and Metric in the investigation of issues within Applied mathematics.
The concepts of his Lipschitz continuity study are interwoven with issues in Inverse function, Metric map and Discrete mathematics, Metric space.
As a part of the same scientific family, Asen L. Dontchev mostly works in the field of Pure mathematics, focusing on Implicit function theorem and, on occasion, Algebra.
He most often published in these fields:
- Mathematical analysis (36.57%)
- Optimal control (35.82%)
- Applied mathematics (32.09%)
What were the highlights of his more recent work (between 2015-2020)?
- Optimal control (35.82%)
- Applied mathematics (32.09%)
- Lipschitz continuity (23.88%)
In recent papers he was focusing on the following fields of study:
His main research concerns Optimal control, Applied mathematics, Lipschitz continuity, Model predictive control and Variational inequality.
His Optimal control research is multidisciplinary, incorporating elements of Discretization and Constant.
Asen L. Dontchev has researched Applied mathematics in several fields, including Stability, Metric and Sequential quadratic programming.
Lipschitz continuity is a subfield of Pure mathematics that Asen L. Dontchev explores.
Asen L. Dontchev combines subjects such as Function and Mathematical analysis, Implicit function theorem with his study of Pure mathematics.
He integrates many fields in his works, including Mathematical analysis and Fréchet space.
Between 2015 and 2020, his most popular works were:
- Strong metric subregularity of mappings in variational analysis and optimization (24 citations)
- Characterizations of Lipschitzian Stability in Nonlinear Programming (10 citations)
- Metrically Regular Differential Generalized Equations (8 citations)
In his most recent research, the most cited papers focused on:
- Mathematical analysis
- Real number
- Mathematical optimization
Asen L. Dontchev mostly deals with Applied mathematics, Banach space, Pure mathematics, Optimal control and Variational inequality.
His work deals with themes such as Stability and Nonlinear programming, which intersect with Applied mathematics.
Mathematical analysis and Discrete mathematics are the areas that his Banach space study falls under.
His biological study deals with issues like Reduction, which deal with fields such as Model predictive control.
His Variational inequality research is multidisciplinary, relying on both Newton's method and Sequential quadratic programming.
His work carried out in the field of Lipschitz continuity brings together such families of science as Intrinsic metric, Injective metric space, Open mapping theorem, Surjective function and Interior point method.
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