Exponential integrators

• On-the-fly backward error estimate for matrix exponential approximation by Taylor algorithm,
  M. Caliari and F. Zivcovich;
  J. Comput. Appl. Math., 2018.
  BibTeX entry: CZi18
  
  
• Backward error analysis of polynomial approximations for computing the action of the matrix exponential,
  M. Caliari, P. Kandolf, and F. Zivcovich;
  BIT, 2018.
  BibTeX entry: CKZ18
  
  
• The Leja method revisited: backward error analysis for the matrix exponential,
  M. Caliari, P. Kandolf, A. Ostermann, and S. Rainer;
  SIAM J. Sci. Comput., 2016.
  BibTeX entry: CKOR16
  
  
• Comparison of software for computing the action of the matrix exponential,
  M. Caliari, P. Kandolf, A. Ostermann, and S. Rainer;
  BIT, 2014
  BibTeX entry: CKOR14
  
  
• Meshfree integrators,
  M. Caliari, A. Ostermann, and S. Rainer;
  Oberwolfach Reports (2011)
  BibTeX entry: COR11
  
  
• A Meshfree splitting method for soliton dynamics in nonlinear Schrödinger equations,
  M. Caliari, A. Ostermann, and S. Rainer;
  Lect. Notes Comput. Sci. Eng. (2013)
  BibTeX entry: COR13
  
  
• Meshfree exponential integrators,
  M. Caliari, A. Ostermann, and S. Rainer;
  SIAM J. Sci. Comput. (2013)
  BibTeX entry: COR13S
  
  
• Exponential integrators for linear advection and wave equations,
  M. Caliari and A. Ostermann;
  In preparation (2007)
  BibTeX entry: CO07B
  
  
• Implementation of exponential Rosenbrock-type methods,
  M. Caliari and A. Ostermann;
  Appl. Numer. Math. (2009)
  BibTeX entry: CO09
  
  
• Accurate evaluation of divided differences for polynomial interpolation of exponential propagators,
  M. Caliari;
  Computing (2007)
  BibTeX entry: C07
  
  
• A massively parallel exponential integrator for advection-diffusion models,
  A. Martínez, L. Bergamaschi, M. Caliari, and M. Vianello;
  J. Comput. Appl. Math. (2009)
  BibTeX entry: MBCV09
  
  
• Comparing Leja and Krylov approximations of large scale matrix exponentials,
  L. Bergamaschi, M. Caliari, A. Martínez, and M. Vianello;
  Lecture Notes in Comput. Sci. (2006)
  BibTeX entry: BCMV06
  
  
• A parallel exponential integrator for large-scale discretizations of advection-diffusion models,
  L. Bergamaschi, M. Caliari, A. Martínez and M. Vianello;
  Lecture Notes in Comput. Sci. (2005)
  BibTeX entry: BCMV05
  
  
• The LEM exponential integrator for advection-diffusion-reaction equations,
  M. Caliari, M. Vianello, and L. Bergamaschi;
  J. Comput. Appl. Math. (2007)
  BibTeX entry: CVB07
  
  
• The ReLPM exponential integrator for FE discretizations of advection-diffusion equations,
  L. Bergamaschi, M. Caliari, and M. Vianello;
  Lecture Notes in Comput. Sci. (2004)
  BibTeX entry: BCV04
  
  
• Interpolating discrete advection-diffusion propagators at Leja sequences,
  M. Caliari, M. Vianello, and L. Bergamaschi;
  J. Comput. Appl. Math. (2004)
  BibTeX entry: CVB04
  
  
• Efficient approximation of the exponential operator for discrete 2D advection-diffusion problems,
  L. Bergamaschi, M. Caliari, and M. Vianello;
  Numer. Linear Algebra Appl. (2003)
  BibTeX entry: BCV03