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Valeria Simoncini

Valeria Simoncini

D-Index & Metrics

Mathematics

D-Index
48
Citations
8606
World Ranking
1211
National Ranking
30

Research.com Recognitions

  • 2021 - Fellow of the American Mathematical Society For contributions to computational mathematics, in particular to numerical linear algebra.
  • 2014 - SIAM Fellow For contributions to numerical linear algebra.

Overview

Valeria Simoncini is affiliated with the University of Bologna in Italy and has made contributions across multiple fields related to computational mathematics and engineering. Their scholarly output spans computer science, mathematics, and engineering, with a focus on computational theory and mathematics.

The scientist's research primarily involves topics such as matrix theory and algorithms, model reduction and neural networks, numerical methods for differential equations, advanced numerical methods in computational mathematics, sparse and compressive sensing techniques, advanced optimization algorithms research, and electromagnetic scattering and analysis.

Frequent publication venues for their work include arXiv (Cornell University), Numerical Linear Algebra with Applications, Archivio istituzionale della ricerca (Alma Mater Studiorum Università di Bologna), SIAM Journal on Scientific Computing, and Computational Optimization and Applications.

Valeria Simoncini has collaborated extensively with a number of co-authors, among whom the most frequent are:

  • Davide Palitta
  • Karsten Urban
  • Margherita Porcelli
  • Julian Henning
  • Marcel Schweitzer

Recent papers authored or co-authored by Simoncini include:

  • An ultraweak space-time variational formulation for the wave equation: Analysis and efficient numerical solution, 2022, ESAIM. Mathematical modelling and numerical analysis
  • The Sherman-Morrison-Woodbury formula for generalized linear matrix equations and applications, 2021, Numerical Linear Algebra with Applications
  • Order reduction methods for solving large-scale differential matrix Riccati equations, 2020, Archivio istituzionale della ricerca (Alma Mater Studiorum Università di Bologna)
  • Optimality Properties of Galerkin and Petrov-Galerkin Methods for Linear Matrix Equations, 2020, Archivio istituzionale della ricerca (Alma Mater Studiorum Università di Bologna)
  • Analysis of the Truncated Conjugate Gradient Method for Linear Matrix Equations, 2023, SIAM Journal on Matrix Analysis and Applications

Their contributions have been recognized through fellowships, including the title of Fellow of the American Mathematical Society awarded in 2021 for work in computational mathematics with an emphasis on numerical linear algebra, and the designation of SIAM Fellow in 2014 for contributions to numerical linear algebra.

Best Publications

  • Computational Methods for Linear Matrix Equations

    Valeria Simoncini

  • RECENT COMPUTATIONAL DEVELOPMENTS IN KRYLOV SUBSPACE METHODS FOR LINEAR SYSTEMS

    Valeria Simoncini;Daniel B. Szyld

  • A FAMILY OF MIMETIC FINITE DIFFERENCE METHODS ON POLYGONAL AND POLYHEDRAL MESHES

    Franco Brezzi;Konstantin Lipnikov;Valeria Simoncini

  • A New Iterative Method for Solving Large-Scale Lyapunov Matrix Equations

    V. Simoncini

  • Theory of Inexact Krylov Subspace Methods and Applications to Scientific Computing

    Valeria Simoncini;Daniel B. Szyld

  • Adaptive rational Krylov subspaces for large-scale dynamical systems

    Vladimir Druskin;Valeria Simoncini

  • An iterative method for nonsymmetric systems with multiple right-hand sides

    V. Simoncini;E. Gallopoulos

  • Block--diagonal and indefinite symmetric preconditioners for mixed finite element formulations

    Valeria Simoncini;Ilaria Perugia;Ilaria Perugia

  • Iterative system solvers for the frequency analysis of linear mechanical systems

    A. Feriani;Federico Perotti;V. Simoncini

  • A quasi-minimal residual variant of the Bi-CGSTAB algorithm for nonsymmetric systems

    T. F. Chan;E. Gallopoulos;V. Simoncini;T. Szeto

  • A Guide to Empirical Orthogonal Functions for Climate Data Analysis

    Antonio Navarra;Valeria Simoncini

  • A new discretization methodology for diffusion problems on generalized polyhedral meshes

    Franco Brezzi;Konstantin Lipnikov;Mikhail Shashkov;Valeria Simoncini

  • Flexible Inner-Outer Krylov Subspace Methods

    Valeria Simoncini;Daniel B. Szyld

  • Convergence properties of block GMRES and matrix polynomials

    V. Simoncini;E. Gallopoulos

  • On the eigenvalues of a class of saddle point matrices

    Michele Benzi;Valeria Simoncini

  • Block triangular preconditioners for symmetric saddle-point problems

    V. Simoncini

  • Analysis of the Rational Krylov Subspace and ADI Methods for Solving the Lyapunov Equation

    V. Druskin;L. Knizhnerman;V. Simoncini

  • A new investigation of the extended Krylov subspace method for matrix function evaluations

    Leonid Knizhnerman;Valeria Simoncini

  • Krylov Subspace Methods for Saddle Point Problems with Indefinite Preconditioning

    M. Rozlozník;V. Simoncini

  • Spectral Properties of the Hermitian and Skew-Hermitian Splitting Preconditioner for Saddle Point Problems

    Valeria Simoncini;Michele Benzi

Frequent Co-Authors

Daniel B. Szyld
Daniel B. Szyld Temple University
Michele Benzi
Michele Benzi Scuola Normale Superiore di Pisa
Vladimir Druskin
Vladimir Druskin Worcester Polytechnic Institute
Lars Eldén
Lars Eldén Linköping University
Daniel Kressner
Daniel Kressner École Polytechnique Fédérale de Lausanne
Ilaria Perugia
Ilaria Perugia University of Vienna
Nicholas I. M. Gould
Nicholas I. M. Gould University of Oxford
Franco Brezzi
Franco Brezzi National Research Council (CNR)
Konstantin Lipnikov
Konstantin Lipnikov Los Alamos National Laboratory
Andreas Frommer
Andreas Frommer University of Wuppertal

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