Martin J. Gander

Orcid: 0000-0001-8450-9223

Affiliations:
  • University of Geneva, Switzerland


According to our database1, Martin J. Gander authored at least 117 papers between 1998 and 2024.

Collaborative distances:
  • Dijkstra number2 of four.
  • Erdős number3 of four.

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Bibliography

2024
Analysis of Schwarz Methods for Convected Helmholtz-Like Equations.
SIAM J. Sci. Comput., February, 2024

A New ParaDiag Time-Parallel Time Integration Method.
SIAM J. Sci. Comput., 2024

Spectral Analysis of Implicit \(\boldsymbol{S}\)-Stage Block Runge-Kutta Preconditioners.
SIAM J. Sci. Comput., 2024

Asymptotic Dispersion Correction in General Finite Difference Schemes for Helmholtz Problems.
SIAM J. Sci. Comput., 2024

New Time Domain Decomposition Methods for Parabolic Optimal Control Problems I: Dirichlet-Neumann and Neumann-Dirichlet Algorithms.
SIAM J. Numer. Anal., 2024

A Parareal algorithm without Coarse Propagator?
CoRR, 2024

Non-overlapping Schwarz methods in time for parabolic optimal control problems.
CoRR, 2024

New time domain decomposition methods for parabolic optimal control problems II: Neumann-Neumann algorithms.
CoRR, 2024

2023
B-methods for the numerical solution of evolution problems with blow-up solutions part II: Splitting methods.
Comput. Math. Appl., December, 2023

A Unified Analysis Framework for Iterative Parallel-in-Time Algorithms.
SIAM J. Sci. Comput., October, 2023

Why Fourier mode analysis in time is different when studying Schwarz Waveform Relaxation.
J. Comput. Phys., October, 2023

Closed Form Optimized Transmission Conditions for Complex Diffusion with Many Subdomains.
SIAM J. Sci. Comput., April, 2023

Non-Overlapping Schwarz Waveform-Relaxation for Nonlinear Advection-Diffusion Equations.
SIAM J. Sci. Comput., February, 2023

Cross-points in the Dirichlet-Neumann method I: well-posedness and convergence issues.
Numer. Algorithms, January, 2023

New time domain decomposition methods for parabolic control problems I: Dirichlet-Neumann and Neumann-Dirichlet algorithms.
CoRR, 2023

Dirichlet-Neumann and Neumann-Neumann Methods for Elliptic Control Problems.
CoRR, 2023

Cross-points in the Dirichlet-Neumann method II: a geometrically convergent variant.
CoRR, 2023

An optimized Space-Time Multigrid algorithm for parabolic PDEs.
CoRR, 2023

Cross-points in the Neumann-Neumann method.
CoRR, 2023

2022
Schwarz methods by domain truncation.
Acta Numer., May, 2022

A Provably Robust Algorithm for Triangle-triangle Intersections in Floating-point Arithmetic.
ACM Trans. Math. Softw., 2022

Convergence of parallel overlapping domain decomposition methods for the Helmholtz equation.
Numerische Mathematik, 2022

Linear and nonlinear substructured Restricted Additive Schwarz iterations and preconditioning.
Numer. Algorithms, 2022

Low-rank Parareal: a low-rank parallel-in-time integrator.
CoRR, 2022

2021
Is There More Than One Dirichlet-Neumann Algorithm for the Biharmonic Problem?
SIAM J. Sci. Comput., 2021

Closed Form Dispersion Corrections Including a Real Shifted WaveNumber for Finite Difference Discretizations of 2D Constant Coefficient Helmholtz Problems.
SIAM J. Sci. Comput., 2021

Modeling and Analysis of the Coupling in Discrete Fracture Matrix Models.
SIAM J. Numer. Anal., 2021

ParaStieltjes: Parallel computation of Gauss quadrature rules using a Parareal-like approach for the Stieltjes procedure.
Numer. Linear Algebra Appl., 2021

Optimized Schwarz Methods with Elliptical Domain Decompositions.
J. Sci. Comput., 2021

On the nonlinear Dirichlet-Neumann method and preconditioner for Newton's method.
CoRR, 2021

A variational interpretation of Restricted Additive Schwarz with impedance transmission condition for the Helmholtz problem.
CoRR, 2021

Localized Reduced Basis Additive Schwarz Methods.
CoRR, 2021

A numerical algorithm based on probing to find optimized transmission conditions.
CoRR, 2021

Optimizing transmission conditions for multiple subdomains in the Magnetotelluric Approximation of Maxwell's equations.
CoRR, 2021

Should multilevel methods for discontinuous Galerkin discretizations use discontinuous interpolation operators?
CoRR, 2021

2020
Multilevel Optimized Schwarz Methods.
SIAM J. Sci. Comput., 2020

A Continuous Analysis of Neumann-Neumann Methods: Scalability and New Coarse Spaces.
SIAM J. Sci. Comput., 2020

Natural Domain Decomposition Algorithms for the Solution of Time-Harmonic Elastic Waves.
SIAM J. Sci. Comput., 2020

A Diagonalization-Based Parareal Algorithm for Dissipative and Wave Propagation Problems.
SIAM J. Numer. Anal., 2020

Asymptotic Analysis for Overlap in Waveform Relaxation Methods for RC Type Circuits.
J. Sci. Comput., 2020

ParaDIAG: Parallel-in-Time Algorithms Based on the Diagonalization Technique.
CoRR, 2020

Optimization of two-level methods for DG discretizations of reaction-diffusion equations.
CoRR, 2020

2019
Heterogeneous Optimized Schwarz Methods for Second Order Elliptic PDEs.
SIAM J. Sci. Comput., 2019

A New Parareal Algorithm for Problems with Discontinuous Sources.
SIAM J. Sci. Comput., 2019

A Superlinear Convergence Estimate for the Parareal Schwarz Waveform Relaxation Algorithm.
SIAM J. Sci. Comput., 2019

A Direct Time Parallel Solver by Diagonalization for the Wave Equation.
SIAM J. Sci. Comput., 2019

A Class of Iterative Solvers for the Helmholtz Equation: Factorizations, Sweeping Preconditioners, Source Transfer, Single Layer Potentials, Polarized Traces, and Optimized Schwarz Methods.
SIAM Rev., 2019

Convergence analysis of a <i>periodic-like</i> waveform relaxation method for initial-value problems via the diagonalization technique.
Numerische Mathematik, 2019

PARAOPT: A parareal algorithm for optimality systems.
CoRR, 2019

2018
Analysis of the Parallel Schwarz Method for Growing Chains of Fixed-sized Subdomains: Part II.
SIAM J. Numer. Anal., 2018

Analysis of Schwarz methods for a hybridizable discontinuous Galerkin discretization: The many-subdomain case.
Math. Comput., 2018

Multiscale analysis of heterogeneous domain decomposition methods for time-dependent advection-reaction-diffusion problems.
J. Comput. Appl. Math., 2018

Multigrid interpretations of the parareal algorithm leading to an overlapping variant and MGRIT.
Comput. Vis. Sci., 2018

2017
How Large a Shift is Needed in the Shifted Helmholtz Preconditioner for its Effective Inversion by Multigrid?
SIAM J. Sci. Comput., 2017

Analysis of the Parallel Schwarz Method for Growing Chains of Fixed-Sized Subdomains: Part I.
SIAM J. Numer. Anal., 2017

Optimized Schwarz methods with nonoverlapping circular domain decomposition.
Math. Comput., 2017

2016
Optimized Schwarz Methods with Overlap for the Helmholtz Equation.
SIAM J. Sci. Comput., 2016

Optimized Schwarz Methods for Model Problems with Continuously Variable Coefficients.
SIAM J. Sci. Comput., 2016

Analysis of a New Space-Time Parallel Multigrid Algorithm for Parabolic Problems.
SIAM J. Sci. Comput., 2016

Nonlinear Preconditioning: How to Use a Nonlinear Schwarz Method to Precondition Newton's Method.
SIAM J. Sci. Comput., 2016

Optimized Schwarz waveform relaxation for advection reaction diffusion equations in two dimensions.
Numerische Mathematik, 2016

A new algorithm based on factorization for heterogeneous domain decomposition.
Numer. Algorithms, 2016

A Numerical Study on the Compressibility of Subblocks of Schur Complement Matrices Obtained from Discretized Helmholtz Equations.
Proceedings of the Numerical Analysis and Its Applications - 6th International Conference, 2016

2015
B-Methods for the Numerical Solution of Evolution Problems with Blow-Up Solutions Part I: Variation of the Constant.
SIAM J. Sci. Comput., 2015

Analysis of Schwarz Methods for a Hybridizable Discontinuous Galerkin Discretization.
SIAM J. Numer. Anal., 2015

Applying GMRES to the Helmholtz equation with shifted Laplacian preconditioning: what is the largest shift for which wavenumber-independent convergence is guaranteed?
Numerische Mathematik, 2015

Optimized Schwarz methods for a diffusion problem with discontinuous coefficient.
Numer. Algorithms, 2015

Effective transmission conditions for domain decomposition methods applied to the time-harmonic curl-curl Maxwell's equations.
J. Comput. Phys., 2015

2014
Optimized Schwarz Methods for Circular Domain Decompositions with Overlap.
SIAM J. Numer. Anal., 2014

Optimization of Transmission Conditions in Waveform Relaxation Techniques for RC Circuits.
SIAM J. Numer. Anal., 2014

Analysis for parareal algorithms applied to Hamiltonian differential equations.
J. Comput. Appl. Math., 2014

2013
Domain Decomposition Methods for the Helmholtz Equation: A Numerical Investigation.
Proceedings of the Domain Decomposition Methods in Science and Engineering XX, 2013

An Asymptotic Approach to Compare Coupling Mechanisms for Different Partial Differential Equations.
Proceedings of the Domain Decomposition Methods in Science and Engineering XX, 2013

On the Applicability of Lions' Energy Estimates in the Analysis of Discrete Optimized Schwarz Methods with Cross Points.
Proceedings of the Domain Decomposition Methods in Science and Engineering XX, 2013

Parareal Schwarz Waveform Relaxation Methods.
Proceedings of the Domain Decomposition Methods in Science and Engineering XX, 2013

Non Shape Regular Domain Decompositions: An Analysis Using a Stable Decomposition in.
Proceedings of the Domain Decomposition Methods in Science and Engineering XX, 2013

Alternating and Linearized Alternating Schwarz Methods for Equidistributing Grids.
Proceedings of the Domain Decomposition Methods in Science and Engineering XX, 2013

Techniques for Locally Adaptive Time Stepping Developed over the Last Two Decades.
Proceedings of the Domain Decomposition Methods in Science and Engineering XX, 2013

Time Domain Maxwell Equations Solved with Schwarz Waveform Relaxation Methods.
Proceedings of the Domain Decomposition Methods in Science and Engineering XX, 2013

Comparison of a One and Two Parameter Family of Transmission Conditions for Maxwell's Equations with Damping.
Proceedings of the Domain Decomposition Methods in Science and Engineering XX, 2013

Algorithm 932: PANG: Software for nonmatching grid projections in 2D and 3D with linear complexity.
ACM Trans. Math. Softw., 2013

Analysis of Two Parareal Algorithms for Time-Periodic Problems.
SIAM J. Sci. Comput., 2013

PARAEXP: A Parallel Integrator for Linear Initial-Value Problems.
SIAM J. Sci. Comput., 2013

Derivation of the Isotropic Diffusion Source Approximation (IDSA) for Supernova Neutrino Transport by Asymptotic Expansions.
SIAM J. Math. Anal., 2013

Optimization of Schwarz waveform relaxation over short time windows.
Numer. Algorithms, 2013

Traffic Prediction Based on a Local Exchange of Information.
J. Cell. Autom., 2013

2012
Best Robin Parameters for Optimized Schwarz Methods at Cross Points.
SIAM J. Sci. Comput., 2012

The Optimized Schwarz Method with a Coarse Grid Correction.
SIAM J. Sci. Comput., 2012

Optimized Schwarz Methods for the Time-Harmonic Maxwell Equations with Damping.
SIAM J. Sci. Comput., 2012

From Euler, Ritz, and Galerkin to Modern Computing.
SIAM Rev., 2012

Chladni Figures and the Tacoma Bridge: Motivating PDE Eigenvalue Problems via Vibrating Plates.
SIAM Rev., 2012

Domain Decomposition Approaches for Mesh Generation via the Equidistribution Principle.
SIAM J. Numer. Anal., 2012

An Optimal Block Iterative Method and Preconditioner for Banded Matrices with Applications to PDEs on Irregular Domains.
SIAM J. Matrix Anal. Appl., 2012

Decentralized Method for Traffic Monitoring.
Proceedings of the Cellular Automata, 2012

2011
Introduction.
Proceedings of the Euro-Par 2011 Parallel Processing - 17th International Conference, 2011

2010
Corrections to Optimized Waveform Relaxation Methods for Longitudinal Partitioning of Transmission Lines [Aug 09 1732-1743].
IEEE Trans. Circuits Syst. I Regul. Pap., 2010

Optimized Domain Decomposition Methods for the Spherical Laplacian.
SIAM J. Numer. Anal., 2010

Schwarz waveform relaxation algorithms for semilinear reaction-diffusion equations.
Networks Heterog. Media, 2010

2009
Optimized Waveform Relaxation Methods for Longitudinal Partitioning of Transmission Lines.
IEEE Trans. Circuits Syst. I Regul. Pap., 2009

Optimized Schwarz Methods for Maxwell's Equations.
SIAM J. Sci. Comput., 2009

A homographic best approximation problem with application to optimized Schwarz waveform relaxation.
Math. Comput., 2009

2007
Optimized Multiplicative, Additive, and Restricted Additive Schwarz Preconditioning.
SIAM J. Sci. Comput., 2007

Analysis of the Parareal Time-Parallel Time-Integration Method.
SIAM J. Sci. Comput., 2007

Optimized Schwarz Waveform Relaxation Methods for Advection Reaction Diffusion Problems.
SIAM J. Numer. Anal., 2007

Analysis of Patch Substructuring Methods.
Int. J. Appl. Math. Comput. Sci., 2007

2006
Optimized Schwarz Methods.
SIAM J. Numer. Anal., 2006

2005
Overlapping Schwarz Waveform Relaxation for Convection-Dominated Nonlinear Conservation Laws.
SIAM J. Sci. Comput., 2005

Asymptotic properties of the <i>QR</i> factorization of banded Hessenberg-Toeplitz matrices.
Numer. Linear Algebra Appl., 2005

Absorbing boundary conditions for the wave equation and parallel computing.
Math. Comput., 2005

2004
Optimized waveform relaxation methods for RC type circuits.
IEEE Trans. Circuits Syst. I Regul. Pap., 2004

2003
Optimal Schwarz Waveform Relaxation for the One Dimensional Wave Equation.
SIAM J. Numer. Anal., 2003

2002
Optimized Schwarz Methods without Overlap for the Helmholtz Equation.
SIAM J. Sci. Comput., 2002

2000
AILU: a preconditioner based on the analytic factorization of the elliptic operator.
Numer. Linear Algebra Appl., 2000

1999
A waveform relaxation algorithm with overlapping splitting for reaction diffusion equations.
Numer. Linear Algebra Appl., 1999

1998
Space-Time Continuous Analysis of Waveform Relaxation for the Heat Equation.
SIAM J. Sci. Comput., 1998

Classroom Note: Note on the Optimal Intercept Time of Vessels to a Nonzero Range.
SIAM Rev., 1998

Circular Billiard.
SIAM Rev., 1998


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