Research and Publications
Automated:
Selected:
M. Motamed and D. Appelö, A multi-order discontinuous Galerkin Monte Carlo method for hyperbolic problems with stochastic parameters. SIAM J. Numerical Analysis (Accepted), 2017. pdf
A. Kornelus and D. Appelö, Flux-conservative Hermite methods for simulation of nonlinear conservation laws. Journal of Scientific Computing (Submitted), 2017. pdf
D. Appelö, G. Kreiss, and S. Wang, An Explicit Hermite-Taylor Method for the Schrödinger Equation, Accepted Communications in Computational Physics, 2016. pdf
D. Appelö and T. Hagstrom, A new discontinuous Galerkin formulation for wave equations in second order form. Siam Journal On Numerical Analysis, 53(6):2705–2765, 2015. pdf
T. Hagstrom and D. Appelö, Solving PDEs with Hermite Interpolation, Springer Lecture Notes in Computational Science and Engineering 2015. pdf
Xi (Ronald) Chen, D. Appelö and Thomas Hagstrom, A Hybrid Hermite - Discontinuous Galerkin Method for Hyperbolic Systems with Application to Maxwell’s Equations, J. Comp. Phys., 2013. pdf
D. Appelö and N. A. Petersson, A fourth-order accurate embedded boundary method for the wave equation, SIAM Journal on Scientific Computing, 34(6):2982–3008, 2012. pdf
D. Appelö, J. W. Banks, W. D. Henshaw, and D. W. Schwendeman. Numerical methods for solid mechanics on overlapping grids: Linear elasticity. J. of Comp. Phys., 231(18):6012–6050, 2012. pdf
T. Hagstrom, D. Appelö, T. Colonius, M. Inkman, and C. Y. Jang. Simulation of compressible flows using hermite methods. The Journal of the Acoustical Society of America, 131(4):3429–3429, 2012. pdf
D Appelö and T. Hagstrom. On Advection by Hermite Methods. Paciffic Journal Of Applied Mathematics, Vol. 4 Issue 2, 2011. pdf
C.L. Ting, D. Appelö, and Z.G. Wang. Minimum energy path to membrane pore formation and rupture. Physical Review Letters, 106(16):168101, 2011. pdf
A. Samanta, D. Appelö, T. Colonius, J. Nott and J. Hall, Computational Modeling and Experiments of Natural Convection for a Titan Montgolfiere, AIAA Journal 2. pdf
D. Appelö and N. A. Petersson, A compact fourth-order-accurate embedded boundary method for the wave equation, extended abstract Waves2009, Pau, France. pdf
D. Appelö and T. Colonius, A high order super-grid-scale absorbing layer and its application to linear hyperbolic systems, Journal of Computational Physics, 228 (11), 4200-4217, 2009. pdf
D. Appelö and T. Hagstrom, A general perfectly matched layer model for hyperbolic-parabolic systems, SIAM Journal on Scientific Computing, 31 (5), 3301-3323, 2009. pdf
D. Appelö and N. A. Petersson, A stable finite difference method for the elastic wave equation on complex geometries with free surfaces, Communications in Computational Physics, Vol. 5, 84-107, 2009. pdf
V. Eliasson, W. D. Henshaw and D. Appelö, On cylindrically converging shock waves shaped by obstacles, Physica D: Nonlinear Phenomena, Vol. 237, 2203-2209, 2008. pdf
T. Hagstrom and D. Appelö, Automatic Symmetrization and Energy Estimates Using Local Operators for Partial Differential Equations Comm. PDE, Volume 32 Issue 7, 1129 pdf
D. Appelö, T. Hagstrom and G. Kreiss, Perfectly matched layers for hyperbolic systems: general formulation, well-posedness and stability, SIAM J. Appl. Math. 67, 1 (2006). pdf
D. Appelö and G. Kreiss, A New Absorbing Layer for Elastic Waves, Journal of Computational Physics 215 (2), pp642-660. pdf
D. Appelö and T. Hagstrom, Construction of stable PMLs for general 2 X 2 symmetric hyperbolic systems, Proceedings of the HYP2004 conference, September 13-17 2004, Osaka, Japan. pdf