Martin Hutzenthaler

About Martin Hutzenthaler

Martin Hutzenthaler, With an exceptional h-index of 28 and a recent h-index of 23 (since 2020), a distinguished researcher at Universität Duisburg-Essen, specializes in the field of Probability theory, Stochastic analysis, Biomathematics.

His recent articles reflect a diverse array of research interests and contributions to the field:

On the Itô-Alekseev-Gröbner formula for stochastic differential equations

Overcoming the curse of dimensionality in the numerical approximation of backward stochastic differential equations

On nonlinear Feynman-Kac formulas for viscosity solutions of semilinear parabolic partial differential equations with gradient-dependent nonlinearities

On existence and uniqueness properties for solutions of stochastic fixed point equations with gradient-dependent nonlinearities

An overview on deep learning-based approximation methods for partial differential equations

Strong convergence rates for full-discrete approximations of stochastic Burgers equations with multiplicative noise

A path-dependent stochastic Gronwall inequality and strong convergence rate for stochastic functional differential equations

Deep neural networks overcome the curse of dimensionality in the numerical approximation of semilinear partial differential equations

Martin Hutzenthaler Information

University

Position

Mathematics

Citations(all)

3115

Citations(since 2020)

2177

Cited By

1853

hIndex(all)

28

hIndex(since 2020)

23

i10Index(all)

38

i10Index(since 2020)

32

Email

University Profile Page

Google Scholar

Martin Hutzenthaler Skills & Research Interests

Probability theory

Stochastic analysis

Biomathematics

Top articles of Martin Hutzenthaler

On the Itô-Alekseev-Gröbner formula for stochastic differential equations

2023/7/3

Martin Hutzenthaler
Martin Hutzenthaler

H-Index: 20

Arnulf Jentzen
Arnulf Jentzen

H-Index: 33

Overcoming the curse of dimensionality in the numerical approximation of backward stochastic differential equations

Journal of Numerical Mathematics

2020/12/16

On nonlinear Feynman-Kac formulas for viscosity solutions of semilinear parabolic partial differential equations with gradient-dependent nonlinearities

arXiv preprint arXiv:2310.18197

2023/10/27

Martin Hutzenthaler
Martin Hutzenthaler

H-Index: 20

On existence and uniqueness properties for solutions of stochastic fixed point equations with gradient-dependent nonlinearities

arXiv preprint arXiv:1908.03382

2019/8/9

An overview on deep learning-based approximation methods for partial differential equations

2020/12/22

Strong convergence rates for full-discrete approximations of stochastic Burgers equations with multiplicative noise

arXiv preprint arXiv:2210.17536

2022/10/31

Martin Hutzenthaler
Martin Hutzenthaler

H-Index: 20

Robert Link
Robert Link

H-Index: 12

A path-dependent stochastic Gronwall inequality and strong convergence rate for stochastic functional differential equations

arXiv preprint arXiv:2206.01049

2022/6/2

Martin Hutzenthaler
Martin Hutzenthaler

H-Index: 20

Tuan Anh Nguyen
Tuan Anh Nguyen

H-Index: 13

Deep neural networks overcome the curse of dimensionality in the numerical approximation of semilinear partial differential equations

arXiv preprint arXiv:2205.14398

2022/5/28

Martin Hutzenthaler
Martin Hutzenthaler

H-Index: 20

Stopped Brownian-increment tamed Euler method

arXiv preprint arXiv:2204.12254

2022/4/26

Martin Hutzenthaler
Martin Hutzenthaler

H-Index: 20

Multilevel Picard approximations for high-dimensional decoupled forward-backward stochastic differential equations

arXiv preprint arXiv:2009.02484

2020/9/5

The Kolmogorov backward equation for stochastic Burgers equations and for stochastic 2D-Navier-Stokes equations

arXiv preprint arXiv:2204.05240

2022/4/11

Martin Hutzenthaler
Martin Hutzenthaler

H-Index: 20

Robert Link
Robert Link

H-Index: 12

Multilevel Picard approximations for McKean-Vlasov stochastic differential equations

Journal of Mathematical Analysis and Applications

2022/3/1

Multilevel Picard approximations of high-dimensional semilinear partial differential equations with locally monotone coefficient functions

arXiv preprint arXiv:2202.02582

2022/2/5

Martin Hutzenthaler
Martin Hutzenthaler

H-Index: 20

Tuan Anh Nguyen
Tuan Anh Nguyen

H-Index: 13

Convergence proof for stochastic gradient descent in the training of deep neural networks with ReLU activation for constant target functions

arXiv preprint arXiv:2112.07369

2021/12/13

On nonlinear Feynman–Kac formulas for viscosity solutions of semilinear parabolic partial differential equations

Stochastics and Dynamics

2021/12/3

Multilevel Picard iterations for solving smooth semilinear parabolic heat equations

Partial Differential Equations and Applications

2021/12

Strong convergence rate of Euler-Maruyama approximations in temporal-spatial Hölder-norms

arXiv preprint arXiv:2111.04630

2021/11/8

Martin Hutzenthaler
Martin Hutzenthaler

H-Index: 20

Tuan Anh Nguyen
Tuan Anh Nguyen

H-Index: 13

Strong -error analysis of nonlinear Monte Carlo approximations for high-dimensional semilinear partial differential equations

arXiv preprint arXiv:2110.08297

2021/10/15

On the speed of convergence of Picard iterations of backward stochastic differential equations

arXiv preprint arXiv:2107.01840

2021/7/5

Evolution of altruistic defence traits in structured populations

2021/5/31

Martin Hutzenthaler
Martin Hutzenthaler

H-Index: 20

See List of Professors in Martin Hutzenthaler University(Universität Duisburg-Essen)

Co-Authors

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