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Marco Caliari

Associate Professor
Department of computer science
University of Vermont
Italy

Biography

Dr. Marco Caliari is currently working as a Associate Professor in the Department of Department of computer science, University of Verona , Italy. His research interests includes Exponential integrators for linear and nonlinear semidiscretized PDEs (finite differences, finite elements, spectral methods, “meshfree”), with particular emphasis on matrix exponential approximation (cf. [5, 32, 6, 3, 33, 4, 21, 11, 39, 38, 25, 23, 24, 17, 18]). Numerical integrators for nonlinear Schr¨odinger equations (finite elements, spectral methods, exponential splitting methods) (cf. [16, 19, 39, 31, 40, 1, 22]) and computation of ground states (cf. [26, 28, 29, 30, 27]). Bivariate and trivariate polynomial interpolation and hyperinterpolation at optimal nodal sets such as Padua points (cf. [12, 13, 9, 8, 13, 10, 35, 14, 15, 34, 20, 7]).. He /she is serving as an editorial member and reviewer of several international reputed journals. Dr. Marco Caliari is the member of many international affiliations. He/ She has successfully completed his Administrative responsibilities. He /she has authored of many research articles/books related to Exponential integrators for linear and nonlinear semidiscretized PDEs (finite differences, finite elements, spectral methods, “meshfree”), with particular emphasis on matrix exponential approximation (cf. [5, 32, 6, 3, 33, 4, 21, 11, 39, 38, 25, 23, 24, 17, 18]). Numerical integrators for nonlinear Schr¨odinger equations (finite elements, spectral methods, exponential splitting methods) (cf. [16, 19, 39, 31, 40, 1, 22]) and computation of ground states (cf. [26, 28, 29, 30, 27]). Bivariate and trivariate polynomial interpolation and hyperinterpolation at optimal nodal sets such as Padua points (cf. [12, 13, 9, 8, 13, 10, 35, 14, 15, 34, 20, 7])..

Research Interest

Exponential integrators for linear and nonlinear semidiscretized PDEs (finite differences, finite elements, spectral methods, “meshfree”), with particular emphasis on matrix exponential approximation (cf. [5, 32, 6, 3, 33, 4, 21, 11, 39, 38, 25, 23, 24, 17, 18]). Numerical integrators for nonlinear Schr¨odinger equations (finite elements, spectral methods, exponential splitting methods) (cf. [16, 19, 39, 31, 40, 1, 22]) and computation of ground states (cf. [26, 28, 29, 30, 27]). Bivariate and trivariate polynomial interpolation and hyperinterpolation at optimal nodal sets such as Padua points (cf. [12, 13, 9, 8, 13, 10, 35, 14, 15, 34, 20, 7]).

Publications

  • Caliari M, Ostermann A. Implementation of exponential Rosenbrock-type integrators. Applied Numerical Mathematics. 2009 Mar 1;59(3-4):568-81.

  • Caliari M, De Marchi S, Vianello M. Bivariate polynomial interpolation on the square at new nodal sets. Applied Mathematics and Computation. 2005 Jun 15;165(2):261-74.

  • Bos L, Caliari M, De Marchi S, Vianello M, Xu Y. Bivariate Lagrange interpolation at the Padua points: the generating curve approach. Journal of Approximation Theory. 2006 Nov 1;143(1):15-25.

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