# Jan S. Hesthaven

#### Dean, SB School

**EPFL SB SB-DEC SB-DO**

PH A2 364 (Bâtiment PH)

Station 3

CH-1015 Lausanne

**EPFL SB MATH MCSS**

MA C2 652 (Bâtiment MA)

Station 8

CH-1015 Lausanne

**EPFL ENT-R SCITAS SCITAS-GE**

MA C2 652 (Bâtiment MA)

Station 8

CH-1015 Lausanne

## Biography

Prof. Hesthaven received an M.Sc. in computational physics from the Technical University of Denmark (DTU) in August 1991. During the studies, the last 6 months of 1989 was spend at JET, the european fusion laboratory in Culham, UK. Following graduation, he was awarded a 3 year fellowship to begin work towards a Ph.D. at Riso National Laboratory in the Department of Optics and Fluid Dynamics.

During the 3 years of study, the academic year of 1993-1994 was spend in the Division of Applied Mathematics at Brown University and three 3 months during the summer of 1994 in Department of Mathematics and Statistics at University of New Mexico. In August 1995, he recieved a Ph.D. in Numerical Analysis from the Institute of Mathematical Modelling (DTU).

Following graduation in August 1995, he was awarded an NSF Postdoctoral Fellowship in Advanced Scientific Computing and was approinted Visiting Assistant Professor in the Division of Applied Mathematics at Brown University. In December of 1996, he was appointed consultant to the Institute of Computer Applications in Science and Engineering(ICASE) at NASA Langley Research Center (NASA LaRC).

As of July 1999, he was appointed Assistant Professor of Applied Mathematics, in September 2000 he was awarded an Alfred P. Sloan Fellowship, as of July 2001 he was awarded a Manning Assistant Professorship, and in March 2002, he was awarded an NSF Career Award.

In January 2003, he was promoted to Associate Professor of Applied Mathematics with tenure and in May 2004 he was awarded Philip J. Bray Award for Excellence in Teaching in the Sciences (the highest award given for teaching excellence in all sciences at Brown University).

He was promoted to Professor of Applied Mathematics as of July 2005.

From October 2006 to June 2013, he was the Founding Director of the Center for Computation and Visualization (CCV) at Brown University.

As of October 2007, he holds the (honorary) title of Professor (Adjunct) at the Technical University of Denmark.

In November 2009, he successfully defended his dr.techn thesis at the Technical University of Denmark and was rewarded the degree of Doctor Technices -- the highest academic distinction awarded based on ... substantial and lasting contributions that has helped to move the research area forward and penetrated into applications.

As grant Co-PI he served from Aug 2010 to June 2013 as Deputy Director of the Institute of Computational and Experimental Research in Mathematics (ICERM), the newest NSF Mathematical Sciences Research Institute.

After having spend his entire academic career at Brown University, Prof Hesthaven decided to pursue new challenges and joined the Mathematics Institute of Computational Science and Engineering (MATHICSE) at Ecole Polytechnique Fédérale de Lausanne (EPFL) in Switzerland in July 2013.

In March 2014 he was elected SIAM Fellow for contributions to high-order methods for partial differential equations.

## Education

Master of Science | Computational Physics | Technical University of Denmark | 01/91-08/91 |

Doctor of Philosophy (PhD) | Numerical analysis | Technical University of Denmark | 08/92-08/95 |

Doctor Technices (dr.techn) | Computational Mathematics | Technical University of Denmark | 11/2009 |

## Publications

#### Journal Publications

# 2018

*

Z. Zhang; M. Guo; J. S. Hesthaven :

**Model order reduction for large-scale structures with local nonlinearities**. 2018-11-09.*

D. Ray; J. S. Hesthaven :

**Detecting troubled-cells on two-dimensional unstructured grids using a neural network**. 2018-11-01.*

P. Cazeaux; J. S. Hesthaven :

**Projective multiscale time-integration for electrostatic particle-in-cell methods**;*Computer Physics Communications*. 2018-10-19. DOI : 10.1016/j.cpc.2018.10.012.*

M. Guo; J. S. Hesthaven :

**Data-driven reduced order modeling for time-dependent problems**;*Computer methods in applied mechanics and engineering*. 2018-10.*

J. S. Hesthaven; F. Mönkeberg :

**Entropy stable essentially non-oscillatory methods based on RBF reconstructions**. 2018-08-14.*

M. Hajihassanpour; B. Bonev; J. S. Hesthaven :

**Validation study of static and dynamic tsunami source models using the discontinuous Galerkin method for the spherical shallow water equations**. 2018-08-11.*

B. Maboudi Afkham; N. Ripamonti; Q. Wang; J. S. Hesthaven :

**Conservative Model Order Reduction for Fluid Flow**;*Advances in reduced order modeling*; Springer Verlag, 2018-08-06.*

W. Chen; J. S. Hesthaven; B. Junqiang; Y. Qiu; Y. Tihao et al. :

**Greedy Non-Intrusive Reduced Order Model for Fluid Dynamics**;*AIAA Journal*. 2018-06-24. DOI : 10.2514/1.J056161.*

T. Lahivaara; A. Pasanen; L. Karkkainen; J. M. Huttunen; J. S. Hesthaven et al. :

**Estimation of groundwater storage from seismic data using deep learning**;*Geophysics Research Letters*. 2018-06-24.*

J. Yu; J. S. Hesthaven; C. Yan :

**A data-driven shock capturing approach for discontinuous Galekin methods**. 2018-06-18.*

Q. Wang; J. S. Hesthaven; D. Ray :

**Non-intrusive reduced order modeling of unsteady flows using artificial neural networks with application to a combustion problem**;*Journal of computational physics*. 2018-06-18.*

Q. Wang; J. S. Hesthaven; D. Ray :

**Non-intrusive reduced order modeling of unsteady flows using artificial neural networks with application to a combustion problem**;*Journal of Computational Physics*. 2018-06-18.*

W. Chen; B. Junqiang; J. S. Hesthaven; Q. Yasong; Q. Lei et al. :

**POD-Kriging reduced method’s application in Tandem Cylinders’ flow**;*Journal of Northwestern Polytechnical University*. 2018-06-01.*

A. Nielsen; G. Brunner; J. Hesthaven :

**Communication-aware adaptive Parareal with application to a nonlinear hyperbolic system of partial differential equations**;*JOURNAL OF COMPUTATIONAL PHYSICS*. 2018. DOI : 10.1016/j.jcp.2018.04.056.*

M. Gorji :

**Treatment of long-range interactions arising in the Enskog-Vlasov description of dense fluids**;*Journal of Computational Physics*. 2018.*

J. S. Hesthaven; C. Pagliantini :

**Structure-Preserving Reduced Basis Methods for Hamiltonian Systems with a Nonlinear Poisson Structure**. 2018.*

J. S. Hesthaven; C. Pagliantini :

**Structure-Preserving Reduced Basis Methods for Hamiltonian Systems with a Nonlinear Poisson Structure**;*Foundations of Computational Mathematics*. 2018.*

K. Shukla; J. S. Hesthaven; J. M. Carcione; R. Ye; J. de la Puenta et al. :

**A nodal discontinuous Galerkin finite element method for the poroelastic wave equation**;*Computational Geoscience*. 2018.*

M. H. Gorji :

**Logarithmic Gradient Transformation and Chaos Expansion of Ito Processes**. 2018.*

A. Karakus; N. Chalmers; J. S. Hesthaven; T. Warburton :

**Discontinuous Galerkin Discretizations of the Boltzmann Equations in 2D: semi-analytic time stepping and absorbing boundary layers**. 2018.*

B. Maboudi Afkham; A. Bhatt; B. Haasdonk; J. S. Hesthaven :

**SYMPLECTIC MODEL-REDUCTION WITH A WEIGHTED INNER PRODUCT**;*SIAM Journal of Scientific Computing*. 2018.*

J. Yu; J. S. Hesthaven :

**A Flow Field Reconstruction Method Using Artificial Neural Networks**;*Aiaa Journal*. 2018.*

M. Guo; J. S. Hesthaven :

**Reduced order modeling for nonlinear structural analysis using Gaussian process regression**;*Computer Methods in Applied Mechanics and Engineering*. 2018. DOI : 10.1016/j.cma.2018.07.017.*

B. Bonev; J. S. Hesthaven; F. X. Giraldo; M. A. Kopera :

**Discontinuous Galerkin scheme for the spherical shallow water equations with applications to tsunami modeling and prediction**;*Journal of Computational Physics*. 2018. DOI : 10.1016/j.jcp.2018.02.008.*

D. Ray; J. S. Hesthaven :

**An artificial neural network as a troubled-cell indicator**;*Journal of computational physics*. 2018. DOI : 10.1016/j.jcp.2018.04.029.*

J. S. Hesthaven; S. Ubbiali :

**Non-intrusive reduced order modeling of nonlinear problems using neural networks**;*Journal of Computational Physics*. 2018. DOI : 10.1016/j.jcp.2018.02.037.*

T. Lahivaara; L. Karkkainen; J. M. Huttunen; J. S. Hesthaven :

**Deep convolutional neural networks for estimating porous material parameters with ultrasound tomography**;*Journal of the Acoustical Society of America*. 2018. DOI : 10.1121/1.5024341.*

U. Ruede; K. Willcox; L. C. McInnes; H. De Sterck; G. Biros et al. :

**Research and Education in Computational Science and Engineering**;*Siam Review*. 2018. DOI : 10.1137/16M1096840.# 2017

*

J. S. Hesthaven :

**Numerical methods for conservation laws: From analysis to algorithms**; Philadelphia: SIAM Publishing.*

J. Yu; J. S. Hesthaven :

**A comparative study of shock capturing models for the discontinuous Galerkin method**;*Journal of Computational Physics*. 2017.*

P. Gatto; J. S. Hesthaven :

**Efficient Preconditioning of hp-FEM Matrices by Hierarchical Low-Rank Approximations**;*Journal Of Scientific Computing*. 2017. DOI : 10.1007/s10915-016-0347-x.*

A. S. Nielsen; G. Brunner; J. S. Hesthaven :

**Communication-aware adaptive parareal with application to a nonlinear hyperbolic system of partial dierential equations**;*Journal of Computational Physics*. 2017. DOI : 10.1016/j.jcp.2018.04.056.*

B. Maboudi Afkham; J. S. Hesthaven :

**Structure-Preserving Model-Reduction of Dissipative Hamiltonian Systems**;*Journal of Scientific Computing*. 2017.*

W. Chen; J. S. Hesthaven; B. Junqiang; Z. Yang; Y. Tihao :

**A greedy non-intrusive reduced order model for fluid dynamics**;*Journal of Northwestern Polytechnical University*. 2017.*

D. Baffet; J. S. Hesthaven :

**High-Order Accurate Local Schemes for Fractional Differential Equations**;*Journal Of Scientific Computing*. 2017. DOI : 10.1007/s10915-015-0089-1.*

M. Dam; M. Brøns; J. J. Rasmussen; V. Naulin; J. S. Hesthaven :

**Identification of a Predator-Prey System from Simulation Data of a Convection Model**;*Physics of Plasmas*. 2017. DOI : 10.1063/1.4977057.*

P. Gatto; J. S. Hesthaven; R. Christiansen :

**Efficient preconditioning of hp-FEM matrices arising from time-varying problems: an application to topology optimization**;*Computer Methods in Applied Mechanics and Engineering*. 2017. DOI : 10.1016/j.cma.2017.04.027.*

C. Bigoni; J. S. Hesthaven :

**Adaptive WENO methods based on radial basis functions reconstruction**;*Journal of Scientific Computing*. 2017. DOI : 10.1007/s10915-017-0383-1.*

D. H. Baffet; J. S. Hesthaven :

**High-Order Accurate Adaptive Kernel Compression Time-Stepping Schemes for Fractional Differential Equations**;*Journal of Scientific Computing*. 2017. DOI : 10.1007/s10915-017-0393-z.*

B. Maboudi Afkham; J. S. Hesthaven :

**Structure preserving model reduction of parametric Hamiltonian systems**;*Siam Journal on Scientific Computing*. 2017. DOI : 10.1137/17M1111991.*

S. Yeganeh; R. Mokhtari; J. S. Hesthaven :

**Space-dependent source determination in a time-fractional diffusion equation using a local discontinuous Galerkin method**;*BIT Numerical Mathematics*. 2017. DOI : 10.1007/s10543-017-0648-y.*

D. H. Baffet; J. S. Hesthaven :

**A kernel compression scheme for fractional differential equations**;*Siam Journal on Numerical Analysis*. 2017. DOI : 10.1137/15M1043960.# 2016

*

L. Zhao; W. Deng; J. S. Hesthaven :

**Spectral methods for tempered fractional differential equations**;*Mathematics of Computation*. 2016.*

J. S. Hesthaven; S. Zhang :

**On the use of ANOVA expansions in reduced basis methods for high-dimensional parametric partial differential equations**;*Journal of Scientific Computing*. 2016. DOI : 10.1007/s10915-016-0194-9.# 2015

*

J. S. Hesthaven; G. Rozza; B. Stamm :

**Certified Reduced Basis Methods for Parametrized Partial Differential Equations**; Springer Verlag.*

J. S. Hesthaven; J.-H. Jung; A. Tesdall :

**Hyperbolic Problems: Theory and Computation**;*Journal Of Scientific Computing*. 2015. DOI : 10.1007/s10915-015-0065-9.*

F. Chen; J. S. Hesthaven; Y. Maday; A. S. Nielsen :

**An Adjoint Approach for Stabilizing the Parareal Method**;*Comptes rendus des séances de l'Académie des Sciences. Série A, Sciences mathématiques***. 2015.*

G. E. Karniadakis; J. S. Hesthaven; I. Podlubny :

**Special Issue on "Fractional PDEs: Theory, Numerics, and Applications"**;*Journal Of Computational Physics*. 2015. DOI : 10.1016/j.jcp.2015.04.007.*

J. Zudrop; J. S. Hesthaven :

**Accuracy of high order and spectral methods for hyperbolic conservation laws with discontinuous solutions**;*Siam Journal on Numerical Analysis*. 2015. DOI : 10.1137/140992758.*

L. Qiu; W. Deng; J. S. Hesthaven :

**Nodal discontinuous Galerkin methods for fractional diffusion equations on 2D domain with triangular meshes**;*Journal of Computational Physics*. 2015. DOI : 10.1016/j.jcp.2015.06.022.*

P. Gatto; J. S. Hesthaven :

**Numerical approximation of the fractional Laplacian via hp-finite elements, with an application to image denoising**;*Journal of Scientific Computing*. 2015. DOI : 10.1007/s10915-014-9959-1.*

Q. Xu; J. S. Hesthaven; F. Chen :

**A Parareal Method for Time-fractional Differential Equations**;*Journal of Computational Physics*. 2015. DOI : 10.1016/j.jcp.2014.11.034.*

W. Deng; J. S. Hesthaven :

**Local discontinuous Galerkin methods for fractional ordinary differential equations**;*Bit Numerical Mathematics*. 2015. DOI : 10.1007/s10543-014-0531-z.*

S. Tirupathi; J. S. Hesthaven; Y. Liang :

**Modeling 3D Magma Dynamics Using a Discontinuous Galerkin Method**;*Communications in Computational Physics*. 2015. DOI : 10.4208/cicp.090314.151214a.*

S. Tirupathi; J. S. Hesthaven; Y. Liang; M. Parmentier :

**Multilevel and Local Timestepping Discontinuous Galerkin Methods for Magma Dynamics**;*Computational Geosciences*. 2015. DOI : 10.1007/s10596-015-9514-7.*

J. S. Hesthaven; S. Zhang; X. Zhu :

**Reduced basis multiscale finite element methods for elliptic problems**;*Multiscale Modeling and Simulation*. 2015. DOI : 10.1137/120898024.*

F. Chen; Q. Xu; J. S. Hesthaven :

**A Multi-domain Spectral Method for Time-fractional Differential Equations**;*Journal of Computational Physics*. 2015. DOI : 10.1016/j.jcp.2014.10.016.# 2014

*

J. Li; J. S. Hesthaven :

**Analysis and application of the nodal discontinuous Galerkin method for wave propagation in metamaterials**;*Journal Of Computational Physics*. 2014. DOI : 10.1016/j.jcp.2013.11.018.*

R. Munipalli; X. Zhu; S. Menon; J. S. Hesthaven :

**Model Reduction Opportunities in Detailed Simulations of Combustion Dynamics**;*Aiaa Journal*. 2014.*

**Spectral and High Order Methods for Partial Differential Equations - ICOSAHOM 2012**; Switzerland: Springer Verlag.

*

Q. Xu; J. S. Hesthaven :

**Discontinuous Galerkin method for fractional convection-diffusion equations**;*Siam Journal on Numerical Analysis*. 2014. DOI : 10.1137/130918174.*

J. S. Hesthaven; S. Zhang; X. Zhu :

**High-order multiscale finite element method for elliptic problems**;*Multiscale Modeling and Simulation*. 2014. DOI : 10.1137/120898024.*

J. S. Hesthaven; B. Stamm; S. Zhang :

**Efficient greedy algorithms for high-dimensional parameter spaces with applications to empirical interpolation and reduced basis methods**;*Mathematical Modelling and Numerical Analysis*. 2014. DOI : 10.1051/m2an/2013100.*

P. Cazeaux; J. S. Hesthaven :

**Multiscale modeling of sound propagation through the lung parenchyma**;*Mathematical Modelling and Numerical Analysis*. 2014. DOI : 10.1051/m2an/2013093.*

Q. Xu; J. S. Hesthaven :

**Stable multi-domain spectral penalty methods for fractional partial differential equations**;*Journal of Computational Physics*. 2014. DOI : 10.1016/j.jcp.2013.09.041.*

S. E. Field; C. R. Galley; J. S. Hesthaven; J. Kaye; M. Tiglio :

**Fast prediction and evaluation of gravitational waveforms using surrogate models**;*Physical Review X*. 2014. DOI : 10.1103/PhysRevX.4.031006.# 2013

*

S. Chun; J. S. Hesthaven :

**High-order accurate methods for solving Maxwell's equations: Applications to photonic crystals and thin layer coatings**; Saarbrucken, Germany: Scholar-Press.*

W. Deng; J. S. Hesthaven :

**Local discontinuous Galerkin methods for fractional diffusion equations**;*Mathematical Modelling and Numerical Analysis*. 2013. DOI : 10.1051/m2an/2013091.*

K. Shahbazi; J. S. Hesthaven; X. Zhu :

**Multi-dimensional hybrid Fourier continuation-WENO solvers for conservation laws**;*Journal of Computational Physics*. 2013. DOI : 10.1016/j.jcp.2013.07.009.*

A. C. Narayan; J. S. Hesthaven :

**A generalization of the Wiener rational basis functions on infinite intervals, Part II - Numerical investigation**;*Journal of Computational and Applied Mathematics*. 2013. DOI : 10.1016/j.cam.2012.06.036.# 2012

*

**Special Issue in Memory of Professor David Gottlieb**; France: SMAI Publications.

*

A. L. Tampos; J. E. C. Lope; J. S. Hesthaven :

**Accurate reconstruction of discontinuous functions using the singular pade-chebyshev method**;*IAENG International Journal of Applied Mathematics*. 2012.*

A. Narayan; J. S. Hesthaven :

**Computation of connection coefficients and measure modifications for orthogonal polynomials**;*BIT Numerical Mathematics*. 2012. DOI : 10.1007/s10543-011-0363-z.*

J. S. Hesthaven; B. Stamm; S. Zhang :

**Certified Reduced Basis Method for the Electric Field Integral Equation**;*SIAM Journal on Scientific Computing*. 2012. DOI : 10.1137/110848268.*

M. Ganesh; J. S. Hesthaven; B. Stamm :

**A reduced basis method for electromagnetic scattering by multiple particles in three dimensions**;*Journal of Computational Physics*. 2012. DOI : 10.1016/j.jcp.2012.07.008.*

Y. Chen; J. S. Hesthaven; Y. Maday; J. Rodriguez; X. Zhu :

**Certified reduced basis method for electromagnetic scattering and radar cross section estimation**;*Computer Methods in Applied Mechanics and Engineering*. 2012. DOI : 10.1016/j.cma.2012.04.013.*

J. D. Brown; P. Diener; S. E. Field; J. S. Hesthaven; F. Herrmann et al. :

**Numerical simulations with a first-order BSSN formulation of Einstein's field equations**;*Physical Review D*. 2012. DOI : 10.1103/PhysRevD.85.084004.# 2011

*

**Spectral and High Order Methods for Partial Differential Equations : Selected papers from the ICOSAHOM '09 conference, June 22-26, Trondheim, Norway**; Heidelberg: Springer.

*

K. Shahbazi; N. Albin; O. P. Bruno; J. S. Hesthaven :

**Multi-domain Fourier-continuation/WENO hybrid solver for conservation laws**;*Journal of Computational Physics*. 2011. DOI : 10.1016/j.jcp.2011.08.024.*

A. R. Schiemenz; M. A. Hesse; J. S. Hesthaven :

**Modeling Magma Dynamics with a Mixed Fourier Collocation - Discontinuous Galerkin Method**;*Communications in Computational Physics*. 2011. DOI : 10.4208/cicp.030210.240910a.*

A. C. Narayan; J. S. Hesthaven :

**A generalization of the Wiener rational basis functions on infinite intervals: Part I-derivation and properties**;*Mathematics of Computation*. 2011. DOI : 10.1090/S0025-5718-2010-02437-8.*

M. Liu; Z. Gao; J. S. Hesthaven :

**Adaptive sparse grid algorithms with applications to electromagnetic scattering under uncertainty**;*Applied Numerical Mathematics*. 2011. DOI : 10.1016/j.apnum.2010.08.002.*

A. Kloeckner; T. Warburton; J. S. Hesthaven :

**Viscous Shock Capturing in a Time-Explicit Discontinuous Galerkin Method**;*Mathematical Modelling of Natural Phenomena*. 2011. DOI : 10.1051/mmnp/20116303.*

J. S. Hesthaven; E. M. Rønquist :

**Lecture Notes in Computational Science and Engineering: Foreword**;*Lecture Notes in Computational Science and Engineering*. 2011.*

Z. Gao; J. S. Hesthaven :

**Efficient Solution of Ordinary Differential Equations with High-Dimensional Parametrized Uncertainty**;*Communications in Computational Physics*. 2011. DOI : 10.4208/cicp.090110.080910a.*

S. E. Field; C. R. Galley; F. Herrmann; J. S. Hesthaven; E. Ochsner et al. :

**Reduced Basis Catalogs for Gravitational Wave Templates**;*Physical Review Letters*. 2011. DOI : 10.1103/PhysRevLett.106.221102.*

M. Fares; J. S. Hesthaven; Y. Maday; B. Stamm :

**The reduced basis method for the electric field integral equation**;*Journal of Computational Physics*. 2011. DOI : 10.1016/j.jcp.2011.03.023.*

Y. Chen; J. S. Hesthaven; Y. Maday :

**A seamless reduced basis element method for 2D Maxwell's problem: An introduction**;*Lecture Notes in Computational Science and Engineering*. 2011. DOI : 10.1007/978-3-642-15337-2_11.# 2010

*

Y. Liang; A. Schiemenz; M. A. Hesse; E. M. Parmentier; J. S. Hesthaven :

**High-porosity channels for melt migration in the mantle: Top is the dunite and bottom is the harzburgite and lherzolite**;*Geophysical Research Letters*. 2010. DOI : 10.1029/2010GL044162.*

D. B. P. Huynh; D. J. Knezevic; Y. Chen; J. S. Hesthaven; A. T. Patera :

**A natural-norm Successive Constraint Method for inf-sup lower bounds**;*Computer Methods in Applied Mechanics and Engineering*. 2010. DOI : 10.1016/j.cma.2010.02.011.*

Z. Gao; J. S. Hesthaven :

**On ANOVA expansions and strategies for choosing the anchor point**;*Applied Mathematics and Computation*. 2010. DOI : 10.1016/j.amc.2010.08.061.*

S. E. Field; J. S. Hesthaven; S. R. Lau; A. H. Mroue :

**Discontinuous Galerkin method for the spherically reduced Baumgarte-Shapiro-Shibata-Nakamura system with second-order operators**;*Physical Review D*. 2010. DOI : 10.1103/PhysRevD.82.104051.*

S. E. Field; J. S. Hesthaven; S. R. Lau :

**Persistent junk solutions in time-domain modeling of extreme mass ratio binaries**;*Physical Review D*. 2010. DOI : 10.1103/PhysRevD.81.124030.*

S. Chun; H. Haddar; J. S. Hesthaven :

**High-order accurate thin layer approximations for time-domain electromagnetics, Part II: Transmission layers**;*Journal of Computational and Applied Mathematics*. 2010. DOI : 10.1016/j.cam.2010.03.022.*

Y. Chen; J. S. Hesthaven; Y. Maday; J. Rodriguez :

**Certified Reduced Basis Methods and Output Bounds for the Harmonic Maxwell's Equations**;*SIAM Journal on Scientific Computing*. 2010. DOI : 10.1137/09075250X.# 2009

*

S. R. Lau; H. P. Pfeiffer; J. S. Hesthaven :

**IMEX Evolution of Scalar Fields on Curved Backgrounds**;*Communications in Computational Physics*. 2009. DOI : 10.4208/cicp.2009.v6.p1063.*

A. Kloeckner; T. Warburton; J. Bridge; J. S. Hesthaven :

**Nodal discontinuous Galerkin methods on graphics processors**;*Journal of Computational Physics*. 2009. DOI : 10.1016/j.jcp.2009.06.041.*

G. B. Jacobs; J. S. Hesthaven :

**Implicit-explicit time integration of a high-order particle-in-cell method with hyperbolic divergence cleaning**;*Computer Physics Communications*. 2009. DOI : 10.1016/j.cpc.2009.05.020.*

G. J. Gassner; F. Loercher; C.-D. Munz; J. S. Hesthaven :

**Polymorphic nodal elements and their application in discontinuous Galerkin methods**;*Journal of Computational Physics*. 2009. DOI : 10.1016/j.jcp.2008.11.012.*

S. E. Field; J. S. Hesthaven; S. R. Lau :

**Discontinuous Galerkin method for computing gravitational waveforms from extreme mass ratio binaries**;*Classical and Quantum Gravity*. 2009. DOI : 10.1088/0264-9381/26/16/165010.## Teaching & PhD

#### Teaching

- Mathematics,

#### PhD Programs

- Doctoral Program in Mathematics
- Doctoral Program in Physics

#### PhD Students

Bigoni Caterina

Bonev Boris

Mönkeberg Fabian

Ripamonti Nicolò

Sivak Iryna

Nielsen Allan Svejstrup ...

Bonev Boris

Mönkeberg Fabian

Ripamonti Nicolò

Sivak Iryna

#### Past PhD Students

Maboudi Afkham Babak ...Nielsen Allan Svejstrup ...

## Courses

#### Numerical methods for conservation laws

Introduction to the development, analysis, and application of computational methods for solving conservation laws with an emphasis on finite volume, limiter based schemes, high-order essentially non-oscillatory schemes, and discontinuous Galerkin methods.

Section of Mathematics, 2018-2019, Master semester 1,*language*: english

Section of Mathematics, 2018-2019, Master semester 3,

*language*: english