Edit Profile (opens in new tab) Petersson, N. Anders Compute Distance To: Compute Author ID: petersson.n-anders Published as: Petersson, N. Anders; Petersson, N. A.; Anders Petersson, N. more...less External Links: MGP Documents Indexed: 41 Publications since 1992 Co-Authors: 27 Co-Authors with 35 Joint Publications 659 Co-Co-Authors all top 5 Co-Authors 6 single-authored 13 Sjogreen, Bjorn 8 Kreiss, Heinz-Otto 3 O’Reilly, Ossian 2 Appelö, Daniel 2 Forest, Mark Gregory 2 Malmliden, Johan F. 2 Wang, Siyang 2 Yström, Jacob 1 Bechtel, Stephen E. 1 Brown, David Leslie 1 Bydlon, Samuel 1 Cooper, Jeffrey A. 1 Dobrev, Veselin A. 1 Dunham, Eric M. 1 Garcia, Fortino 1 Henshaw, William D. 1 Kolev, Tzanio V. 1 Kreiss, Gunilla 1 Miller, Brian J. 1 Nilsson, Stefan 1 Olsson, Fredrik 1 Ortiz, Omar Eduardo 1 Prochnow, Bo 1 Reichard, D. L. 1 Schroder, Jacob B. 1 Vogt, Ryan H. 1 Zhang, Lu all top 5 Serials 10 SIAM Journal on Scientific Computing 7 Journal of Computational Physics 6 SIAM Journal on Numerical Analysis 6 Communications in Computational Physics 3 Journal of Scientific Computing 2 Computers and Fluids 1 Journal of Fluid Mechanics 1 Mathematics of Computation 1 SIAM Journal on Control and Optimization 1 SIAM Journal on Applied Mathematics 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis all top 5 Fields 32 Numerical analysis (65-XX) 16 Partial differential equations (35-XX) 13 Fluid mechanics (76-XX) 8 Mechanics of deformable solids (74-XX) 7 Geophysics (86-XX) 2 Ordinary differential equations (34-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Optics, electromagnetic theory (78-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Quantum theory (81-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 38 Publications have been cited 494 times in 307 Documents Cited by ▼ Year ▼ Difference approximations for the second order wave equation. Zbl 1033.65072Kreiss, Heinz-Otto; Petersson, N. Anders; Yström, Jacob 50 2002 A second order accurate embedded boundary method for the wave equation with Dirichlet data. Zbl 1095.65086Kreiss, Heinz-Otto; Petersson, N. Anders 38 2006 A fourth order accurate finite difference scheme for the elastic wave equation in second order formulation. Zbl 1255.65162Sjögreen, Björn; Petersson, N. Anders 34 2012 Difference approximations of the Neumann problem for the second order wave equation. Zbl 1077.65097Kreiss, Heinz-Otto; Petersson, N. Anders; Yström, Jacob 33 2004 Stability of pressure boundary conditions for Stokes and Navier-Stokes equations. Zbl 1014.76064Petersson, N. Anders 28 2001 A stable finite difference method for the elastic wave equation on complex geometries with free surfaces. Zbl 1364.74016Appelo, Daniel; Petersson, N. Anders 26 2009 Two-level convergence theory for multigrid reduction in time (MGRIT). Zbl 1416.65329Dobrev, V. A.; Kolev, Tz.; Petersson, N. A.; Schroder, J. B. 23 2017 A split-step scheme for the incompressible Navier-Stokes equations. Zbl 1074.76036Henshaw, William D.; Petersson, N. Anders 22 2003 A Cartesian embedded boundary method for hyperbolic conservation laws. Zbl 1164.76354Sjögreen, Björn; Petersson, N. Anders 22 2007 Stable grid refinement and singular source discretization for seismic wave simulations. Zbl 1364.86010Petersson, N. Anders; Sjogreen, Bjorn 17 2010 Discretizing singular point sources in hyperbolic wave propagation problems. Zbl 1349.65329Petersson, N. Anders; O’Reilly, Ossian; Sjögreen, Björn; Bydlon, Samuel 17 2016 Stable difference approximations for the elastic wave equation in second order formulation. Zbl 1158.65064Nilsson, Stefan; Petersson, N. Anders; Sjögreen, Björn; Kreiss, Heinz-Otto 17 2007 Perfectly matched layers for Maxwell’s equations in second order formulation. Zbl 1073.78014Sjögreen, Björn; Petersson, N. Anders 17 2005 An embedded boundary method for the wave equation with discontinuous coefficients. Zbl 1131.65075Kreiss, Heinz-Otto; Petersson, N. Anders 14 2006 On the convergence to steady state of solutions of nonlinear hyperbolic- parabolic systems. Zbl 0816.35066Kreiss, Gunilla; Kreiss, Heinz-Otto; Petersson, N. Anders 13 1994 Wave propagation in anisotropic elastic materials and curvilinear coordinates using a summation-by-parts finite difference method. Zbl 1351.74159Petersson, N. Anders; Sjögreen, Björn 12 2015 Hole-cutting for three-dimensional overlapping grids. Zbl 0947.65128Petersson, N. Anders 11 1999 Source estimation by full wave form inversion. Zbl 1303.65080Sjögreen, Björn; Petersson, N. Anders 9 2014 An algorithm for assembling overlapping grid systems. Zbl 0939.65110Petersson, N. Anders 9 1999 Stability of interpolation on overlapping grids. Zbl 0882.65081Olsson, Fredrik; Petersson, N. Anders 9 1996 Boundary estimates for the elastic wave equation in almost incompressible materials. Zbl 1258.35141Kreiss, Heinz-Otto; Petersson, N. Anders 8 2012 A fourth-order accurate embedded boundary method for the wave equation. Zbl 1261.65087Appelö, Daniel; Petersson, N. Anders 8 2012 Energy conservative SBP discretizations of the acoustic wave equation in covariant form on staggered curvilinear grids. Zbl 1436.65108O’Reilly, Ossian; Petersson, N. Anders 6 2020 Computing the flow around a submerged body using composite grids. Zbl 0774.76064Petersson, N. Anders; Malmliden, Johan F. 6 1993 A numerical method to calculate the two-dimensional flow around an underwater obstacle. Zbl 0742.76010Petersson, N. Anders 6 1992 An energy absorbing far-field boundary condition for the elastic wave equation. Zbl 1364.74019Petersson, N. Anders; Sjogreen, Bjorn 6 2009 Super-grid modeling of the elastic wave equation in semi-bounded domains. Zbl 1388.65065Petersson, N. Anders; Sjögreen, Björn 6 2014 Initial-boundary value problems for second order systems of partial differential equations. Zbl 1276.35115Kreiss, Heinz-Otto; Ortiz, Omar E.; Petersson, N. Anders 4 2012 Computation and stability of fluxons in a singularly perturbed sine- Gordon model of the Josephson junction. Zbl 0808.34064Brown, David L.; Forest, M. Gregory; Miller, Brian J.; Petersson, N. Anders 4 1994 Treatment of the polar coordinate singularity in axisymmetric wave propagation using high-order summation-by-parts operators on a staggered grid. Zbl 1390.76613Prochnow, Bo; O’Reilly, Ossian; Dunham, Eric M.; Petersson, N. Anders 3 2017 Fourth order finite difference methods for the wave equation with mesh refinement interfaces. Zbl 1425.65092Wang, Siyang; Petersson, N. Anders 3 2019 High order accurate finite difference modeling of seismo-acoustic wave propagation in a moving atmosphere and a heterogeneous Earth model coupled across a realistic topography. Zbl 1404.65100Petersson, N. Anders; Sjögreen, Björn 3 2018 Stable and efficient modeling of anelastic attenuation in seismic wave propagation. Zbl 1373.74099Petersson, N. Anders; Sjögreen, Björn 3 2012 Elastic wave propagation in curvilinear coordinates with mesh refinement interfaces by a fourth order finite difference method. Zbl 1471.65111Zhang, Lu; Wang, Siyang; Petersson, N. Anders 2 2021 A fast iterative method to compute the flow around a submerged body. Zbl 0856.76062Malmliden, Johan F.; Petersson, N. Anders 2 1996 A new model to determine dynamic surface tension and elongational viscosity using oscillating jet measurements. Zbl 0850.76164Bechtel, S. E.; Cooper, J. A.; Forest, M. G.; Petersson, N. A.; Reichard, D. L.; Saleh, A.; Venkataramanan, V. 1 1995 Summation by parts finite difference approximations for seismic and seismo-acoustic computations. Zbl 1352.35193Sjögreen, Björn; Petersson, N. Anders 1 2015 Computing periodic gravity waves on water by using moving composite overlapping grids. Zbl 0785.76049Petersson, N. Anders 1 1993 Elastic wave propagation in curvilinear coordinates with mesh refinement interfaces by a fourth order finite difference method. Zbl 1471.65111Zhang, Lu; Wang, Siyang; Petersson, N. Anders 2 2021 Energy conservative SBP discretizations of the acoustic wave equation in covariant form on staggered curvilinear grids. Zbl 1436.65108O’Reilly, Ossian; Petersson, N. Anders 6 2020 Fourth order finite difference methods for the wave equation with mesh refinement interfaces. Zbl 1425.65092Wang, Siyang; Petersson, N. Anders 3 2019 High order accurate finite difference modeling of seismo-acoustic wave propagation in a moving atmosphere and a heterogeneous Earth model coupled across a realistic topography. Zbl 1404.65100Petersson, N. Anders; Sjögreen, Björn 3 2018 Two-level convergence theory for multigrid reduction in time (MGRIT). Zbl 1416.65329Dobrev, V. A.; Kolev, Tz.; Petersson, N. A.; Schroder, J. B. 23 2017 Treatment of the polar coordinate singularity in axisymmetric wave propagation using high-order summation-by-parts operators on a staggered grid. Zbl 1390.76613Prochnow, Bo; O’Reilly, Ossian; Dunham, Eric M.; Petersson, N. Anders 3 2017 Discretizing singular point sources in hyperbolic wave propagation problems. Zbl 1349.65329Petersson, N. Anders; O’Reilly, Ossian; Sjögreen, Björn; Bydlon, Samuel 17 2016 Wave propagation in anisotropic elastic materials and curvilinear coordinates using a summation-by-parts finite difference method. Zbl 1351.74159Petersson, N. Anders; Sjögreen, Björn 12 2015 Summation by parts finite difference approximations for seismic and seismo-acoustic computations. Zbl 1352.35193Sjögreen, Björn; Petersson, N. Anders 1 2015 Source estimation by full wave form inversion. Zbl 1303.65080Sjögreen, Björn; Petersson, N. Anders 9 2014 Super-grid modeling of the elastic wave equation in semi-bounded domains. Zbl 1388.65065Petersson, N. Anders; Sjögreen, Björn 6 2014 A fourth order accurate finite difference scheme for the elastic wave equation in second order formulation. Zbl 1255.65162Sjögreen, Björn; Petersson, N. Anders 34 2012 Boundary estimates for the elastic wave equation in almost incompressible materials. Zbl 1258.35141Kreiss, Heinz-Otto; Petersson, N. Anders 8 2012 A fourth-order accurate embedded boundary method for the wave equation. Zbl 1261.65087Appelö, Daniel; Petersson, N. Anders 8 2012 Initial-boundary value problems for second order systems of partial differential equations. Zbl 1276.35115Kreiss, Heinz-Otto; Ortiz, Omar E.; Petersson, N. Anders 4 2012 Stable and efficient modeling of anelastic attenuation in seismic wave propagation. Zbl 1373.74099Petersson, N. Anders; Sjögreen, Björn 3 2012 Stable grid refinement and singular source discretization for seismic wave simulations. Zbl 1364.86010Petersson, N. Anders; Sjogreen, Bjorn 17 2010 A stable finite difference method for the elastic wave equation on complex geometries with free surfaces. Zbl 1364.74016Appelo, Daniel; Petersson, N. Anders 26 2009 An energy absorbing far-field boundary condition for the elastic wave equation. Zbl 1364.74019Petersson, N. Anders; Sjogreen, Bjorn 6 2009 A Cartesian embedded boundary method for hyperbolic conservation laws. Zbl 1164.76354Sjögreen, Björn; Petersson, N. Anders 22 2007 Stable difference approximations for the elastic wave equation in second order formulation. Zbl 1158.65064Nilsson, Stefan; Petersson, N. Anders; Sjögreen, Björn; Kreiss, Heinz-Otto 17 2007 A second order accurate embedded boundary method for the wave equation with Dirichlet data. Zbl 1095.65086Kreiss, Heinz-Otto; Petersson, N. Anders 38 2006 An embedded boundary method for the wave equation with discontinuous coefficients. Zbl 1131.65075Kreiss, Heinz-Otto; Petersson, N. Anders 14 2006 Perfectly matched layers for Maxwell’s equations in second order formulation. Zbl 1073.78014Sjögreen, Björn; Petersson, N. Anders 17 2005 Difference approximations of the Neumann problem for the second order wave equation. Zbl 1077.65097Kreiss, Heinz-Otto; Petersson, N. Anders; Yström, Jacob 33 2004 A split-step scheme for the incompressible Navier-Stokes equations. Zbl 1074.76036Henshaw, William D.; Petersson, N. Anders 22 2003 Difference approximations for the second order wave equation. Zbl 1033.65072Kreiss, Heinz-Otto; Petersson, N. Anders; Yström, Jacob 50 2002 Stability of pressure boundary conditions for Stokes and Navier-Stokes equations. Zbl 1014.76064Petersson, N. Anders 28 2001 Hole-cutting for three-dimensional overlapping grids. Zbl 0947.65128Petersson, N. Anders 11 1999 An algorithm for assembling overlapping grid systems. Zbl 0939.65110Petersson, N. Anders 9 1999 Stability of interpolation on overlapping grids. Zbl 0882.65081Olsson, Fredrik; Petersson, N. Anders 9 1996 A fast iterative method to compute the flow around a submerged body. Zbl 0856.76062Malmliden, Johan F.; Petersson, N. Anders 2 1996 A new model to determine dynamic surface tension and elongational viscosity using oscillating jet measurements. Zbl 0850.76164Bechtel, S. E.; Cooper, J. A.; Forest, M. G.; Petersson, N. A.; Reichard, D. L.; Saleh, A.; Venkataramanan, V. 1 1995 On the convergence to steady state of solutions of nonlinear hyperbolic- parabolic systems. Zbl 0816.35066Kreiss, Gunilla; Kreiss, Heinz-Otto; Petersson, N. Anders 13 1994 Computation and stability of fluxons in a singularly perturbed sine- Gordon model of the Josephson junction. Zbl 0808.34064Brown, David L.; Forest, M. Gregory; Miller, Brian J.; Petersson, N. Anders 4 1994 Computing the flow around a submerged body using composite grids. Zbl 0774.76064Petersson, N. Anders; Malmliden, Johan F. 6 1993 Computing periodic gravity waves on water by using moving composite overlapping grids. Zbl 0785.76049Petersson, N. Anders 1 1993 A numerical method to calculate the two-dimensional flow around an underwater obstacle. Zbl 0742.76010Petersson, N. Anders 6 1992 all cited Publications top 5 cited Publications all top 5 Cited by 537 Authors 18 Henshaw, William D. 17 Banks, Jeffrey W. 15 Mattsson, Ken 14 Kreiss, Gunilla 14 Nordström, Jan 14 Schwendeman, Donald William 11 Petersson, N. Anders 11 Shu, Chi-Wang 11 Wang, Siyang 9 Duru, Kenneth 8 Sjogreen, Bjorn 7 Appelö, Daniel 7 Dunham, Eric M. 7 Hagstrom, Thomas M. 7 O’Reilly, Ossian 6 Schroder, Jacob B. 5 Idesman, Alexander V. 5 Virta, Kristoffer 5 Wu, Shulin 5 Zhang, Mengping 4 Falgout, Robert D. 4 Hessenthaler, Andreas 4 Lu, Jianfang 4 Motamed, Mohammad 4 Tan, Sirui 4 Tempone, Raúl F. 3 Almquist, Martin 3 Baeza, Antonio 3 Beyn, Wolf-Jürgen 3 Bruno, Oscar P. 3 Farhat, Charbel H. 3 Iaccarino, Gianluca 3 Iollo, Angelo 3 Kozdon, Jeremy Edward 3 Li, Longfei 3 Liu, Jie 3 Mulet, Pep 3 Nordsletten, David A. 3 Röhrle, Oliver 3 Rosales, Rodolfo Ruben 3 Rottmann-Matthes, Jens 3 Rydin, Ylva Ljungberg 3 Shirokoff, David 3 Southworth, Ben S. 3 Tang, Qi 3 Werpers, Jonatan 3 Zhang, Wensheng 3 Zhou, Tao 3 Zorío, David 2 Ålund, Oskar 2 Bencomo, Mario J. 2 Bergmann, Michel 2 Bermúdez, Alfredo 2 Bialecki, Bernard 2 Bodony, Daniel J. 2 Borazjani, Iman 2 Carlino, Michele Giuliano 2 Cheng, Yingda 2 Chou, Ching-Shan 2 Clain, Stéphane Louis 2 De Sterck, Hans 2 Gabriel, Alice-Agnes 2 Gander, Martin Jakob 2 Garcia, Fortino 2 Gauger, Nicolas R. 2 Gorobets, Andrey V. 2 Guba, Oksana 2 Günther, Stefanie 2 Gustafsson, Bertil 2 Ham, Frank E. 2 Hervella-Nieto, Luis 2 Jacangelo, J. 2 Jenkinson, Michael J. 2 Jiang, Yan 2 Kreiss, Heinz-Otto 2 Lesnic, Daniel 2 Li, Jiequan 2 Li, Tingting 2 Liao, HongLin 2 Lin, Tao 2 Lin, Yanping 2 Liu, Jianguo 2 Liu, Shihao 2 Lorenz, Jens 2 Ludvigsson, Gustav 2 Lundquist, Tomas 2 Main, Alex 2 Nazarov, Murtazo 2 Nissen, Anna 2 Nobile, Fabio 2 Notay, Yvan 2 Oliva, Assensi 2 Pan, Kejia 2 Pantano, Carlos 2 Pego, Robert L. 2 Prieto, Andrés 2 Rannabauer, Leonhard 2 Rodríguez, Rodolfo 2 Runborg, Olof 2 Seibold, Benjamin ...and 437 more Authors all top 5 Cited in 61 Serials 104 Journal of Computational Physics 33 Journal of Scientific Computing 20 SIAM Journal on Scientific Computing 17 Computer Methods in Applied Mechanics and Engineering 16 Journal of Computational and Applied Mathematics 11 Computers and Fluids 6 Computers & Mathematics with Applications 6 Mathematics of Computation 5 SIAM Journal on Numerical Analysis 4 Wave Motion 4 Applied Mathematics and Computation 4 Numerical Functional Analysis and Optimization 4 Mathematical and Computer Modelling 4 Communications on Applied Mathematics and Computation 3 International Journal for Numerical Methods in Fluids 3 BIT 3 Numerische Mathematik 3 International Journal of Computer Mathematics 3 Archives of Computational Methods in Engineering 2 Journal of Fluid Mechanics 2 Applied Numerical Mathematics 2 Computational Mechanics 2 Numerical Methods for Partial Differential Equations 2 SIAM Journal on Matrix Analysis and Applications 2 Journal of Dynamics and Differential Equations 2 Mathematical Problems in Engineering 2 Symmetry 1 Archive for Rational Mechanics and Analysis 1 Fluid Dynamics 1 International Journal of Heat and Mass Transfer 1 Journal of Engineering Mathematics 1 Mathematical Methods in the Applied Sciences 1 International Journal for Numerical Methods in Engineering 1 Journal of Differential Equations 1 Chinese Annals of Mathematics. Series B 1 Journal of the American Mathematical Society 1 Numerical Algorithms 1 SIAM Journal on Mathematical Analysis 1 Numerical Linear Algebra with Applications 1 Computational and Applied Mathematics 1 International Journal of Numerical Methods for Heat & Fluid Flow 1 ETNA. Electronic Transactions on Numerical Analysis 1 Advances in Computational Mathematics 1 Engineering Analysis with Boundary Elements 1 Journal of Difference Equations and Applications 1 Journal of Mathematical Chemistry 1 International Journal of Computational Fluid Dynamics 1 Optimization Methods & Software 1 Communications in Nonlinear Science and Numerical Simulation 1 Computational Geosciences 1 Optimization and Engineering 1 Lobachevskii Journal of Mathematics 1 Journal of Numerical Mathematics 1 Physical Review D. Series III 1 Journal of Hyperbolic Differential Equations 1 Communications in Computational Physics 1 GEM - International Journal on Geomathematics 1 East Asian Journal on Applied Mathematics 1 Research in the Mathematical Sciences 1 AMM. Applied Mathematics and Mechanics. (English Edition) 1 SIAM Journal on Mathematics of Data Science all top 5 Cited in 32 Fields 234 Numerical analysis (65-XX) 132 Partial differential equations (35-XX) 117 Fluid mechanics (76-XX) 51 Mechanics of deformable solids (74-XX) 16 Geophysics (86-XX) 12 Optics, electromagnetic theory (78-XX) 7 Classical thermodynamics, heat transfer (80-XX) 6 Biology and other natural sciences (92-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 4 Ordinary differential equations (34-XX) 4 Relativity and gravitational theory (83-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Probability theory and stochastic processes (60-XX) 3 Computer science (68-XX) 3 Mechanics of particles and systems (70-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Real functions (26-XX) 2 Special functions (33-XX) 2 Systems theory; control (93-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Sequences, series, summability (40-XX) 1 Approximations and expansions (41-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Statistics (62-XX) 1 Quantum theory (81-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year