Lund University

Lund University

Lund University & Lund Institute of Technology
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Department of Numerical Analysis

  Publications in scientific journals

  to appear:   2007:
  • Jonas Englund: A Nyström scheme with rational quadrature applied to edge crack problems. Comm. Num. Meth. Engng, Vol. 23, No. 10, pp. 945-960 (2007). [Abstract]
  • Hans Joachim Schroll, Glenn Terje Lines, and A. Tveito: On the Accuracy of Operator Splitting for the Monodomain Model of Electrophysiology.  Int. J. Comp. Math., Vol. 84, No. 6, pp. 871-885 (2007).
  • Jonas Englund: A higher order scheme for two-dimensional quasi-static crack growth simulations. Comput. Methods Appl. Mech. Engrg, Vol. 196, No. 21-24, pp. 2527-2538, (2007). [Abstract]
  • Carmen Arévalo, Gustaf Söderlind, and José Díaz López: Constant coefficient linear multistep methods with step density control. J. Comp. Appl. Math., Vol. 205, No. 2, pp. 891-900, (2007).
  • Eskil Hansen: Galerkin/Runge-Kutta discretizations of nonlinear parabolic equations.  J. Comp. Appl. Math., Vol. 205, No. 2, pp. 882-890, (2007).
  • Robert Artebrant: Third order accurate non-polynomial reconstruction on rectangular and triangular meshes.  J. Sci. Comput., Vol. 30, No. 2, pp. 193-221, (2007).
  2006:
  • Klas Modin and Claus Führer: Time-step adaptivity in variational integrators with application to contact problems .  ZAMM, Vol. 86, No. 10, pp. 785-794, (2006).
  • Gustaf Söderlind: The logarithmic norm. History and modern theory.  BIT, Vol. 46, No. 3, pp. 631-652, (2006).
  • Martin Arnold, Andreas Fuchs, and Claus Führer: Efficient corrector iteration for DAE time integration in multibody dynamics.  Comput. Methods Appl. Mech. Engrg, Vol. 195, No. 50-51, pp. 6958-6973, (2006).
  • Johan Helsing: Approximate inverse preconditioners for some large dense random electrostatic interaction matrices.  BIT, Vol. 46, No. 2, pp. 307-323, (2006). [Abstract]
  • Gustaf Söderlind: Time-step selection algorithms: Adaptivity, control and signal processing.  Appl. Num. Math., Vol. 56, No. 3-4, pp. 488-502, (2006).
  • Jonas Englund: Efficient algorithm for edge cracked geometries.  Int. J. Numer. Meth. Engng, Vol. 66, No. 11 , pp. 1791-1816, (2006). [Abstract]
  • Robert Artebrant and Hans Joachim Schroll: Limiter-free third order logarithmic reconstruction. SIAM J. Sci. Comp., Vol. 28, No. 1, pp. 359-381, (2006).
  • Robert Artebrant and Hans Joachim Schroll: Numerical Simulation of Camassa-Holm peakons by Adaptive Upwinding. Appl. Num. Math., Vol. 56, No. 5, pp. 695-711, (2006).
  • Eskil Hansen: Runge-Kutta time discretizations of nonlinear dissipative evolution equations.  Math. Comp., Vol. 75, No. 254, pp. 631-640, (2006).
  • Eskil Hansen: Convergence of Multistep Time Discretizations of Nonlinear Dissipative Evolution Equations.  SIAM J. Numer. Anal., Vol. 44, No. 1, pp. 55-65, (2006).
  • Hans Joachim Schroll and Fredrik Svensson: A Bi-Hyperbolic Finite Volume Method on Curvilinear Meshes.  J. Sci. Comput. Vol. 26, No. 2, pp. 237-260, (2006).
  • Fredrik Svensson: Moving Meshes and Higher Order Finite Volume Reconstructions. Int. J. Finite Volumes, Vol. 3, No. 1, (2006).
  • Gustaf Söderlind and Lina Wang: Evaluating numerical ODE/DAE methods, algorithms and software.  J. Comp. Appl. Math., Vol. 185, No. 2, pp. 244-260, (2006).
  • Gustaf Söderlind and Lina Wang: Adaptive time-stepping and computational stability.  J. Comp. Appl. Math., Vol. 185, No. 2, pp. 225-243, (2006).
  2005:
  • Robert Artebrant and Hans Joachim Schroll: Conservative Logarithmic Reconstructions and Finite Volume Methods.  SIAM J. Sci. Comp., Vol. 27, No. 1, pp. 294-314, (2005).
  • Ernst Hairer and Gustaf Söderlind: Explicit, time reversible, adaptive step size control.  SIAM J. Sci. Comp., Vol. 26, No. 6, pp. 1838-1851, (2005).
  • Jonas Englund: Stable algorithm for the stress field around a multiply branched crack.  Int. J. Numer. Meth. Engng, Vol. 63, No. 6, pp. 926-946, (2005). [Abstract]
  • Johan Persson, Eskil Hansen, Lars Lidgren, and Ian McCarthy: Modeling of the heat distribution in the intervertebral disk.  Ultrasound Med. Biol., Vol. 31, No. 5, pp. 709-717, (2005).
  • Robert Artebrant: Comment on "Finite-volume component-wise TVD schemes for 2D shallow water equations" by Gwo-Fong Lin, Jin-Sung Lai and Wen-Dar Guo.  Adv. Water Resour., Vol. 28, No. 4, pp. 423-425, (2005).
  • Oskar Hall, Hans Joachim Schroll, and Fredrik Svensson: High-Resolution Simulation of Inviscid Flow in General Domains.  Int. J. Numer. Methods Fluids, Vol. 47, No. 10-11, pp. 1061-1067, (2005).
  • Johan Helsing and Eddie Wadbro: Laplace's equation and the Dirichlet-Neumann map: a new mode for Mikhlin's method.  J. Comput. Phys., Vol. 202, No. 2, pp. 391-410, (2005). [Abstract]
  2004:
  • Carmen Arévalo , Stephen L. Campbell, and Monica Selva: Unitary Partitioning in General Constraint Preserving DAE Integrators.  Math. Comp. Mod., Vol. 40, No. 11-12, pp. 1273-1284, (2004).
  • Jonas Englund and Johan Helsing: A comparison of splittings and integral equation solvers for a nonseparable elliptic equation.  BIT, Vol. 44, No. 4, pp. 675-697, (2004). [Abstract]
  • Hans Joachim Schroll: Relaxed High Resolution Schemes for Hyperbolic Conservation Laws,  J. Sci. Comput., Vol. 21, No. 2, pp. 251-279, (2004).
  • Johan Helsing, Anders Jonsson: A seventh order accurate and stable algorithm for the computation of stress inside cracked rectangular domains.  J. Multiscale Comput. Engng., Vol. 2, No. 1, pp. 47-68, (2004). [Abstract]
  2003:
  • Eskil Hansen: Modelling heat transfer in a bone-cement-prosthesis system.  J. Biomech., Vol. 36, No. 6, pp. 787-795, (2003).
  • José Díaz López and Claus Führer: A Wavelet Semidiscretization of elastic multibody systems.  ZAMM, Vol. 83, No. 10, pp. 677-689, (2003). [Abstract]
  • Jonas Englund and Johan Helsing: Stress computations on perforated polygonal domains.   Engng. Anal. Boundary Elem., Vol. 27, No. 5, pp. 533-546, (2003). [Abstract]
  • Jonas Englund: Fast, accurate, and stable algorithm for the stress field around a zig-zag-shaped crack.  Engng. Fracture Mech., Vol. 70, No. 2, pp. 355-364, (2003). [Abstract]
  • Gustaf Söderlind: Digital filters in adaptive time-stepping.  ACM Trans. Math. Software, Vol. 29, No. 1, pp. 1-26, (2003).
  2002:
  • Johan Helsing and Anders Jonsson: Stress calculations on multiply connected domains.  J. Comput. Phys., Vol. 176, No. 2, pp. 456-482, (2002). [Abstract]
  • Carmen Arévalo , Claus Führer, and Monica Selva: A collocation formulation of multistep methods for variable step-size extensions .  Appl. Num. Math., Vol. 42, No. 1-3, pp. 5-16, (2002). [Abstract]
  • Hans Joachim Schroll: High resolution relaxed upwind schemes in gas dynamics.  J. Sci. Comput., Vol. 17, No. 1-4, pp. 599-607, (2002).
  • Gustaf Söderlind: Automatic control and adaptive time-stepping.  Numer. Algorithms, Vol. 31, No. 1-4, pp. 281-310, (2002).
  • Immaculada Higueras and Gustaf Söderlind: Logarithmic norms and nonlinear DAE stability.  BIT, Vol. 42, No. 4, pp. 823-841, (2002).
  2001:
  • Cornelia Franke and Claus Führer: Collocation Methods for the Investigation of Periodic Motions of Constrained Multibody Systems,  Multibody Syst. Dyn., Vol. 5, No. 2, pp. 133-158, (2001). [Abstract]
  2000:   selected publications prior to 2000:
  • Hans Olsson and Gustaf Söderlind: Stage value predictors and efficient Newton iterations in implicit Runge-Kutta methods.  SIAM J. Sci. Comp., Vol. 20, No. 1, 185-202, (1999).
  • Patrik Nordling and Anders Sjö: Parallel Solution of Modular ODEs with Application to Rolling Bearing Dynamics. Math. Comp. Sim., Vol. 44, pp. 495-504, (1997). [Abstract]
  • Carmen Arévalo, Claus Führer, and Gustaf Söderlind: Beta-blocked Multistep Methods for Euler Lagrange DAEs: Linear Analysis.  ZAMM, Vol. 77, No. 8, pp. 609-617, (1997). [Abstract]. 
  • Carmen Arévalo, Claus Führer, and Gustaf Söderlind: Stabilized Multistep Methods for Index 2 Euler-Lagrange DAEs.  BIT, Vol. 36, No. 1, pp. 1-13, (1996). [Abstract]
  • Edda Eich, Claus Führer, and Jeng Yen: On the Error Control for Multistep Methods Applied to ODEs with Invariants and DAEs in Multibody Dynamics. , J. Mech. Struct & Mach., Vol. 23, No. 2, pp. 159-179, (1995).
  • Carmen Arévalo, Gustaf Söderlind: Convergence of multistep discretizations of DAEs. . BIT, Vol. 35, No. 2, pp. 143-168, (1995).
   Address:
   Numerical Analysis
   Lund University
   Box 118
   SE-221 00 Lund
   Sweden