Skip to content

Cookies

To use the chat, you need to allow Microsoft Dynamics to use cookies.

printicon
Main menu hidden.

Siyang Wang

Contact

E-mail
Phone

Works at

Affiliation
Location
MIT-huset, plan 3, Matematik och matematisk statistik, UMIT, plan 2 Umeå universitet, 901 87 Umeå

Since January 2021 I am assistant professor in computational mathematics at Umeå University. My primary research interest is the development, analysis, and implementation of numerical methods for partial differential equations.

In the past few years, much of my research effort has been devoted to efficient and robust numerical simulation of acoustic and elastic wave propagation, which are modelled by second order hyperbolic partial differential equations. For the numerical solutions, I have considered stable and high-order accurate finite difference and discontinuous Galerkin methods. This topic is still an important part of my current work. For hyperbolic problems, a recent interest is fluid mechanics governed by conservation laws. Here I am analyzing boundary closures for weighted-essentially-non-oscillatory (WENO) schemes for initial-boundary-value problems. Another research interest is multiscale modelling where material properties vary in space on different scales. I have worked on multiscale methods for flows in porous media and look forward to extending the techniques to hyperbolic problems.

Before joining Umeå University I was a lecturer at Mälardalens högskola in 2019-2020, where I taught several courses in basic mathematics and numerical methods. Before that I was a postdoc at Chalmers University of Technology in 2017-2019 working with Axel Målqvist on multiscale methods for flows in porous media. Prior to Chalmers, I obtained a PhD in scientific computing at Uppsala University with Gunilla Kreiss as advisor. We focused on high-order finite difference discretizations on nonuniform meshes for the wave equation and established error estimates for a class of discretizations in the normal mode analysis framework.

Publications

Preprints

[P4] A conservative and energy stable discontinuous spectral element method for the shifted wave equation in second order form, Kenneth Duru, Siyang Wang and Kenny Wiratama, Submitted.

[P3] A high order finite difference method for the elastic wave equations in bounded domains with nonconforming interfaces, Lu Zhang and Siyang Wang, Submitted.

[P2] An energy-based summation-by-parts finite difference method for the wave equation in second order form, Siyang Wang, Daniel Appelö and Gunilla Kreiss, Submitted. 

[P1] Summation-by-parts approximations of the second derivative: Pseudoinverses of singular operators and revisiting the sixth order accurate narrow-stencil operator, Sofia Eriksson and Siyang Wang, Submitted.

2021

[J13] Elastic wave propagation in curvilinear coordinates with mesh refinement interfaces by a fourth order finite difference method, Lu Zhang, Siyang Wang and N. Anders Petersson, SIAM Journal on Scientific Computing, 43 (2021), A1472-A1496.

[J12] Numerical upscaling for heterogeneous materials in fractured domains, Fredrik Hellman, Axel Målqvist and Siyang Wang, ESAIM: Mathematical Modelling and Numerical Analysis, 55 (2021), S761-S784.

[J11] Bridging physics-based and equivalent circuit models for lithium-ion batteries, Zeyang Geng, Siyang Wang, Matthew J. Lacey, Daniel Brandell, Torbjörn Thiringer, Electrochimica Acta, 372 (2021) 137829.

2019

[J10] Fourth order finite difference methods for the wave equation with mesh refinement interfaces, Siyang Wang and N. Anders Petersson, SIAM Journal on Scientific Computing, 41 (2019), A3246–A3275.

[J9] Order-preserving interpolation for summation-by-parts operators at nonconforming grid interfaces, Martin Almquist, Siyang Wang, and Jonatan Werpers, SIAM Journal on Scientific Computing, 41 (2019), A1201–A1227.

[J8] An energy‐based discontinuous Galerkin method for coupled elasto‐acoustic wave equations in second‐order form, Daniel Appelö and Siyang Wang, International Journal of Numerical Methods for Engeneering, 119 (2019), 618–638.

2018

[J7] An improved high order finite difference method for non-conforming interfaces for the wave equation, Siyang Wang, Journal of Scientific Computing, 77 (2018), 775-792.

[J6] High-order numerical methods for 2D parabolic problems in single and composite domains, Gustav Ludvigsson, Kyle R. Steffen, Simon Sticko, Siyang Wang, Qing Xia, Yekaterina Epshteyn and Gunilla Kreiss, Journal of Scientific Computing, 76 (2018), 812–847.

[J5] Convergence of finite difference methods for the wave equation in two space dimensions, Siyang Wang, Anna Nissen and Gunilla Kreiss, Mathematics of Computation, 87 (2018), 2737-2763.

2017

[J4] An explicit Hermite-Taylor method for the Schrödinger equation, Daniel Appelö, Gunilla Kreiss and Siyang Wang, Communications in Computational Physics, 21 (2017), 1207-1230.

[J3] Convergence of summation-by-parts finite difference methods for the wave equation, Siyang Wang and Gunilla Kreiss, Journal of Scientific Computing, 71 (2017), 219–245.

2016

[J2] High order finite difference methods for the wave equation with non-conforming grid interfaces, Siyang Wang, Kristoffer Virta and Gunilla Kreiss, Journal of Scientific Computing, 68 (2016), 1002-1028.

2014

[J1] Stochastic reaction-diffusion processes with embedded lower-dimensional structures, Siyang Wang, Johan Elf, Stefan Hellander and Per Lötstedt, Bulletin of mathematical biology, 76 (2014), 819-853.

Thesis

[T1] Finite difference and discontinuous Galerkin methods for wave equations, Siyang Wang, Uppsala University, 2017.

 

Presentations

2021-03-15 Research seminar at Australian National University. Summation-by-parts finite difference methods with ghost points for the elastic wave equations.

 

Electrochimica Acta, Elsevier 2021, Vol. 372
Geng, Zeyang; Wang, Siyang; Lacey, Matthew J.; et al.

I have taught courses in basic mathematics and numerical analysis.

Mälardalens högskola

Mathematics for economics and business (19,20)

Numerical methods with MATLAB (19,20)

Vector algebra (19)

Finite element methods (20)

Biomathematics and bioinformatics (20)

Chalmers University of Technology

Numerical analysis (18)

Uppsala University

Scientific computing bridging course (13,14,15,16,17)