Circular Billiard. - Michael Drexler; Martin J. Gander (SIAM Rev., 1998)

Classroom Note: Note on the Optimal Intercept Time of Vessels to a Nonzero Range. - Martin J. Gander (SIAM Rev., 1998)

Space-Time Continuous Analysis of Waveform Relaxation for the Heat Equation. - Martin J. Gander; Andrew M. Stuart (SIAM J. Sci. Comput., 1998)

A waveform relaxation algorithm with overlapping splitting for reaction diffusion equations. - Martin J. Gander (Numer. Linear Algebra Appl., 1999)

AILU: a preconditioner based on the analytic factorization of the elliptic operator. - Martin J. Gander; Frédéric Nataf (Numer. Linear Algebra Appl., 2000)

Optimized Schwarz Methods without Overlap for the Helmholtz Equation. - Martin J. Gander; Frédéric Magoulès; Frédéric Nataf (SIAM J. Sci. Comput., 2002)

Optimal Schwarz Waveform Relaxation for the One Dimensional Wave Equation. - Martin J. Gander; Laurence Halpern; Frédéric Nataf (SIAM J. Numer. Anal., 2003)

Optimized waveform relaxation methods for RC type circuits. - Martin J. Gander; Albert E. Ruehli (IEEE Trans. Circuits Syst. I Regul. Pap., 2004)

Absorbing boundary conditions for the wave equation and parallel computing. - Martin J. Gander; Laurence Halpern (Math. Comput., 2005)

Asymptotic properties of the QR factorization of banded Hessenberg-Toeplitz matrices. - Xiao-Wen Chang; Martin J. Gander; Samir Karaa (Numer. Linear Algebra Appl., 2005)

Overlapping Schwarz Waveform Relaxation for Convection-Dominated Nonlinear Conservation Laws. - Martin J. Gander; Christian Rohde (SIAM J. Sci. Comput., 2005)

Optimized Schwarz Methods. - Martin J. Gander (SIAM J. Numer. Anal., 2006)

Analysis of Patch Substructuring Methods. - Martin J. Gander; Laurence Halpern; Frédéric Magoulès; François-Xavier Roux (Int. J. Appl. Math. Comput. Sci., 2007)

Optimized Schwarz Waveform Relaxation Methods for Advection Reaction Diffusion Problems. - Martin J. Gander; Laurence Halpern (SIAM J. Numer. Anal., 2007)

Analysis of the Parareal Time-Parallel Time-Integration Method. - Martin J. Gander; Stefan Vandewalle (SIAM J. Sci. Comput., 2007)

Optimized Multiplicative, Additive, and Restricted Additive Schwarz Preconditioning. - Amik St.-Cyr; Martin J. Gander; Stephen J. Thomas (SIAM J. Sci. Comput., 2007)

A homographic best approximation problem with application to optimized Schwarz waveform relaxation. - Daniel Bennequin; Martin J. Gander; Laurence Halpern (Math. Comput., 2009)

Optimized Schwarz Methods for Maxwell's Equations. - Victorita Dolean; Martin J. Gander; Luca Gerardo-Giorda (SIAM J. Sci. Comput., 2009)

Optimized Waveform Relaxation Methods for Longitudinal Partitioning of Transmission Lines. - Mohammad Al-Khaleel; Albert E. Ruehli; Martin J. Gander (IEEE Trans. Circuits Syst. I Regul. Pap., 2009)

Schwarz waveform relaxation algorithms for semilinear reaction-diffusion equations. - Filipa Caetano; Martin J. Gander; Laurence Halpern; Jérémie Szeftel (Networks Heterog. Media, 2010)

Optimized Domain Decomposition Methods for the Spherical Laplacian. - Sébastien Loisel; J. Côté; Martin J. Gander; L. Laayouni; A. Qaddouri (SIAM J. Numer. Anal., 2010)

Corrections to Optimized Waveform Relaxation Methods for Longitudinal Partitioning of Transmission Lines [Aug 09 1732-1743]. - Martin J. Gander; Mohammad Al-Khaleel; Albert E. Ruehli (IEEE Trans. Circuits Syst. I Regul. Pap., 2010)

Introduction. - Martin Berzins; Daniela di Serafino; Martin J. Gander; Luc Giraud (Euro-Par (2), 2011)

Decentralized Method for Traffic Monitoring. - Guillaume Sartoretti; Jean-Luc Falcone; Bastien Chopard; Martin J. Gander (ACRI, 2012)

An Optimal Block Iterative Method and Preconditioner for Banded Matrices with Applications to PDEs on Irregular Domains. - Martin J. Gander; Sébastien Loisel; Daniel B. Szyld (SIAM J. Matrix Anal. Appl., 2012)

Domain Decomposition Approaches for Mesh Generation via the Equidistribution Principle. - Martin J. Gander; Ronald D. Haynes (SIAM J. Numer. Anal., 2012)

Chladni Figures and the Tacoma Bridge: Motivating PDE Eigenvalue Problems via Vibrating Plates. - Martin J. Gander; Felix Kwok (SIAM Rev., 2012)

From Euler, Ritz, and Galerkin to Modern Computing. - Martin J. Gander; Gerhard Wanner (SIAM Rev., 2012)

Optimized Schwarz Methods for the Time-Harmonic Maxwell Equations with Damping. - Mohamed El Bouajaji; Victorita Dolean; Martin J. Gander; Stéphane Lanteri (SIAM J. Sci. Comput., 2012)

The Optimized Schwarz Method with a Coarse Grid Correction. - Olivier Dubois 001; Martin J. Gander; Sébastien Loisel; Amik St.-Cyr; Daniel B. Szyld (SIAM J. Sci. Comput., 2012)

Best Robin Parameters for Optimized Schwarz Methods at Cross Points. - Martin J. Gander; Felix Kwok (SIAM J. Sci. Comput., 2012)

Traffic Prediction Based on a Local Exchange of Information. - Bruno Barbieri; Guillaume Sartoretti; Jean-Luc Falcone; Bastien Chopard; Martin J. Gander (J. Cell. Autom., 2013)

Optimization of Schwarz waveform relaxation over short time windows. - Yves Courvoisier; Martin J. Gander (Numer. Algorithms, 2013)

Derivation of the Isotropic Diffusion Source Approximation (IDSA) for Supernova Neutrino Transport by Asymptotic Expansions. - Heiko Berninger; Emmanuel Frénod; Martin J. Gander; Mathias Liebendörfer; Jérôme Michaud (SIAM J. Math. Anal., 2013)

PARAEXP: A Parallel Integrator for Linear Initial-Value Problems. - Martin J. Gander; Stefan Güttel (SIAM J. Sci. Comput., 2013)

Analysis of Two Parareal Algorithms for Time-Periodic Problems. - Martin J. Gander; Yao-Lin Jiang; Bo Song; Hui Zhang (SIAM J. Sci. Comput., 2013)

Algorithm 932: PANG: Software for nonmatching grid projections in 2D and 3D with linear complexity. - Martin J. Gander; Caroline Japhet (ACM Trans. Math. Softw., 2013)

Comparison of a One and Two Parameter Family of Transmission Conditions for Maxwell's Equations with Damping. - Mohamed El Bouajaji; Victorita Dolean; Martin J. Gander; Stéphane Lanteri (Domain Decomposition Methods in Science and Engineering XX, 2013)

Time Domain Maxwell Equations Solved with Schwarz Waveform Relaxation Methods. - Yves Courvoisier; Martin J. Gander (Domain Decomposition Methods in Science and Engineering XX, 2013)

Techniques for Locally Adaptive Time Stepping Developed over the Last Two Decades. - Martin J. Gander; Laurence Halpern (Domain Decomposition Methods in Science and Engineering XX, 2013)

Alternating and Linearized Alternating Schwarz Methods for Equidistributing Grids. - Martin J. Gander; Ronald D. Haynes; Alexander J. M. Howse (Domain Decomposition Methods in Science and Engineering XX, 2013)

Non Shape Regular Domain Decompositions: An Analysis Using a Stable Decomposition in. - Martin J. Gander; Laurence Halpern; Kévin Santugini-Repiquet (Domain Decomposition Methods in Science and Engineering XX, 2013)

Parareal Schwarz Waveform Relaxation Methods. - Martin J. Gander; Yao-Lin Jiang; Rong-Jian Li (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. - Martin J. Gander; Felix Kwok (Domain Decomposition Methods in Science and Engineering XX, 2013)

An Asymptotic Approach to Compare Coupling Mechanisms for Different Partial Differential Equations. - Martin J. Gander; Véronique Martin (Domain Decomposition Methods in Science and Engineering XX, 2013)

Domain Decomposition Methods for the Helmholtz Equation: A Numerical Investigation. - Martin J. Gander; Hui Zhang (Domain Decomposition Methods in Science and Engineering XX, 2013)

Analysis for parareal algorithms applied to Hamiltonian differential equations. - Martin J. Gander; Ernst Hairer (J. Comput. Appl. Math., 2014)

Optimization of Transmission Conditions in Waveform Relaxation Techniques for RC Circuits. - Mohammad Al-Khaleel; Martin J. Gander; Albert E. Ruehli (SIAM J. Numer. Anal., 2014)

Optimized Schwarz Methods for Circular Domain Decompositions with Overlap. - Martin J. Gander; Yingxiang Xu (SIAM J. Numer. Anal., 2014)

Effective transmission conditions for domain decomposition methods applied to the time-harmonic curl-curl Maxwell's equations. - Victorita Dolean; Martin J. Gander; Stéphane Lanteri; Jin-Fa Lee; Zhen Peng 002 (J. Comput. Phys., 2015)

Optimized Schwarz methods for a diffusion problem with discontinuous coefficient. - Martin J. Gander; Olivier Dubois 001 (Numer. Algorithms, 2015)

Applying GMRES to the Helmholtz equation with shifted Laplacian preconditioning: what is the largest shift for which wavenumber-independent convergence is guaranteed? - Martin J. Gander; Ivan G. Graham; Euan A. Spence (Numerische Mathematik, 2015)

Analysis of Schwarz Methods for a Hybridizable Discontinuous Galerkin Discretization. - Martin J. Gander; Soheil Hajian (SIAM J. Numer. Anal., 2015)

B-Methods for the Numerical Solution of Evolution Problems with Blow-Up Solutions Part I: Variation of the Constant. - Mélanie Beck; Martin J. Gander; Felix Kwok (SIAM J. Sci. Comput., 2015)

A Numerical Study on the Compressibility of Subblocks of Schur Complement Matrices Obtained from Discretized Helmholtz Equations. - Martin J. Gander; Sergey Solovyev (NAA, 2016)

A new algorithm based on factorization for heterogeneous domain decomposition. - Martin J. Gander; Laurence Halpern; Véronique Martin (Numer. Algorithms, 2016)

Optimized Schwarz waveform relaxation for advection reaction diffusion equations in two dimensions. - Daniel Bennequin; Martin J. Gander; Loïc Gouarin; Laurence Halpern (Numerische Mathematik, 2016)

Nonlinear Preconditioning: How to Use a Nonlinear Schwarz Method to Precondition Newton's Method. - Victorita Dolean; Martin J. Gander; Walid Kheriji; Felix Kwok; Roland Masson (SIAM J. Sci. Comput., 2016)

Analysis of a New Space-Time Parallel Multigrid Algorithm for Parabolic Problems. - Martin J. Gander; Martin Neumüller (SIAM J. Sci. Comput., 2016)

Optimized Schwarz Methods for Model Problems with Continuously Variable Coefficients. - Martin J. Gander; Yingxiang Xu (SIAM J. Sci. Comput., 2016)

Optimized Schwarz Methods with Overlap for the Helmholtz Equation. - Martin J. Gander; Hui Zhang (SIAM J. Sci. Comput., 2016)

Optimized Schwarz methods with nonoverlapping circular domain decomposition. - Martin J. Gander; Yingxiang Xu (Math. Comput., 2017)

Analysis of the Parallel Schwarz Method for Growing Chains of Fixed-Sized Subdomains: Part I. - Gabriele Ciaramella; Martin J. Gander (SIAM J. Numer. Anal., 2017)

How Large a Shift is Needed in the Shifted Helmholtz Preconditioner for its Effective Inversion by Multigrid? - Pierre-Henri Cocquet; Martin J. Gander (SIAM J. Sci. Comput., 2017)

Multigrid interpretations of the parareal algorithm leading to an overlapping variant and MGRIT. - Martin J. Gander; Felix Kwok; Hui Zhang (Comput. Vis. Sci., 2018)

Multiscale analysis of heterogeneous domain decomposition methods for time-dependent advection-reaction-diffusion problems. - Martin J. Gander; Laurence Halpern; Véronique Martin (J. Comput. Appl. Math., 2018)

Analysis of Schwarz methods for a hybridizable discontinuous Galerkin discretization: The many-subdomain case. - Martin J. Gander; Soheil Hajian (Math. Comput., 2018)

Analysis of the Parallel Schwarz Method for Growing Chains of Fixed-sized Subdomains: Part II. - Gabriele Ciaramella; Martin J. Gander (SIAM J. Numer. Anal., 2018)

PARAOPT: A parareal algorithm for optimality systems. - Martin J. Gander; Felix Kwok; Julien Salomon (CoRR, 2019)

Convergence analysis of a periodic-like waveform relaxation method for initial-value problems via the diagonalization technique. - Martin J. Gander; Shu-Lin Wu (Numerische Mathematik, 2019)

A Class of Iterative Solvers for the Helmholtz Equation: Factorizations, Sweeping Preconditioners, Source Transfer, Single Layer Potentials, Polarized Traces, and Optimized Schwarz Methods. - Martin J. Gander; Hui Zhang (SIAM Rev., 2019)

A Direct Time Parallel Solver by Diagonalization for the Wave Equation. - Martin J. Gander; Laurence Halpern; Johann Rannou; Juliette Ryan (SIAM J. Sci. Comput., 2019)

A Superlinear Convergence Estimate for the Parareal Schwarz Waveform Relaxation Algorithm. - Martin J. Gander; Yao-Lin Jiang; Bo Song (SIAM J. Sci. Comput., 2019)

A New Parareal Algorithm for Problems with Discontinuous Sources. - Martin J. Gander; Iryna Kulchytska-Ruchka; Innocent Niyonzima; Sebastian Schöps (SIAM J. Sci. Comput., 2019)

Heterogeneous Optimized Schwarz Methods for Second Order Elliptic PDEs. - Martin J. Gander; Tommaso Vanzan (SIAM J. Sci. Comput., 2019)

Optimization of two-level methods for DG discretizations of reaction-diffusion equations. - José Pablo Lucero Lorca; Martin J. Gander (CoRR, 2020)

ParaDIAG: Parallel-in-Time Algorithms Based on the Diagonalization Technique. - Martin J. Gander; Jun Liu 025; Shu-Lin Wu; Xiaoqiang Yue; Tao Zhou (CoRR, 2020)

Asymptotic Analysis for Overlap in Waveform Relaxation Methods for RC Type Circuits. - Martin J. Gander; Pratik M. Kumbhar; Albert E. Ruehli (J. Sci. Comput., 2020)

A Diagonalization-Based Parareal Algorithm for Dissipative and Wave Propagation Problems. - Martin J. Gander; Shu-Lin Wu (SIAM J. Numer. Anal., 2020)

Natural Domain Decomposition Algorithms for the Solution of Time-Harmonic Elastic Waves. - R. Brunet; Victorita Dolean; Martin J. Gander (SIAM J. Sci. Comput., 2020)

A Continuous Analysis of Neumann-Neumann Methods: Scalability and New Coarse Spaces. - Faycal Chaouqui; Martin J. Gander; Kévin Santugini-Repiquet (SIAM J. Sci. Comput., 2020)

Multilevel Optimized Schwarz Methods. - Martin J. Gander; Tommaso Vanzan (SIAM J. Sci. Comput., 2020)

Should multilevel methods for discontinuous Galerkin discretizations use discontinuous interpolation operators? - José Pablo Lucero Lorca; Martin Jakob Gander (CoRR, 2021)

Optimizing transmission conditions for multiple subdomains in the Magnetotelluric Approximation of Maxwell's equations. - Victorita Dolean; Martin J. Gander; Alexandros Kyriakis (CoRR, 2021)

A numerical algorithm based on probing to find optimized transmission conditions. - Martin J. Gander; Roland Masson; Tommaso Vanzan (CoRR, 2021)

Localized Reduced Basis Additive Schwarz Methods. - Martin J. Gander; Stephan Rave (CoRR, 2021)

A variational interpretation of Restricted Additive Schwarz with impedance transmission condition for the Helmholtz problem. - Shihua Gong; Martin J. Gander; Ivan G. Graham; Euan A. Spence (CoRR, 2021)

On the nonlinear Dirichlet-Neumann method and preconditioner for Newton's method. - Faycal Chaouqui; Martin J. Gander; Pratik M. Kumbhar; Tommaso Vanzan (CoRR, 2021)

Optimized Schwarz Methods with Elliptical Domain Decompositions. - Xin Chen; Martin J. Gander; Yingxiang Xu (J. Sci. Comput., 2021)

ParaStieltjes: Parallel computation of Gauss quadrature rules using a Parareal-like approach for the Stieltjes procedure. - Martin J. Gander; Thibaut Lunet (Numer. Linear Algebra Appl., 2021)

Modeling and Analysis of the Coupling in Discrete Fracture Matrix Models. - Martin J. Gander; Julian Hennicker; Roland Masson (SIAM J. Numer. Anal., 2021)

Closed Form Dispersion Corrections Including a Real Shifted WaveNumber for Finite Difference Discretizations of 2D Constant Coefficient Helmholtz Problems. - Pierre-Henri Cocquet; Martin J. Gander; Xueshuang Xiang (SIAM J. Sci. Comput., 2021)

Is There More Than One Dirichlet-Neumann Algorithm for the Biharmonic Problem? - Martin J. Gander; Yongxiang Liu (SIAM J. Sci. Comput., 2021)

Low-rank Parareal: a low-rank parallel-in-time integrator. - Benjamin Carrel; Martin J. Gander; Bart Vandereycken (CoRR, 2022)

Linear and nonlinear substructured Restricted Additive Schwarz iterations and preconditioning. - Faycal Chaouqui; Martin J. Gander; Pratik M. Kumbhar; Tommaso Vanzan (Numer. Algorithms, 2022)

Convergence of parallel overlapping domain decomposition methods for the Helmholtz equation. - Shihua Gong; Martin J. Gander; Ivan G. Graham; David Lafontaine; Euan A. Spence (Numerische Mathematik, 2022)

A Provably Robust Algorithm for Triangle-triangle Intersections in Floating-point Arithmetic. - Conor McCoid; Martin J. Gander (ACM Trans. Math. Softw., 2022)

Schwarz methods by domain truncation. - Martin J. Gander; Hui Zhang (Acta Numer., 2022)

Cross-points in the Neumann-Neumann method. - Bastien Chaudet-Dumas; Martin J. Gander (CoRR, 2023)

An optimized Space-Time Multigrid algorithm for parabolic PDEs. - Bastien Chaudet-Dumas; Martin J. Gander; Ausra Pogozelskyte (CoRR, 2023)

Cross-points in the Dirichlet-Neumann method II: a geometrically convergent variant. - Bastien Chaudet-Dumas; Martin J. Gander (CoRR, 2023)

Dirichlet-Neumann and Neumann-Neumann Methods for Elliptic Control Problems. - Martin Jakob Gander; Liudi Lu (CoRR, 2023)

New time domain decomposition methods for parabolic control problems I: Dirichlet-Neumann and Neumann-Dirichlet algorithms. - Martin Jakob Gander; Liudi Lu (CoRR, 2023)

Cross-points in the Dirichlet-Neumann method I: well-posedness and convergence issues. - Bastien Chaudet-Dumas; Martin J. Gander (Numer. Algorithms, 2023)

Non-Overlapping Schwarz Waveform-Relaxation for Nonlinear Advection-Diffusion Equations. - Martin J. Gander; Stephan Benjamin Lunowa; Christian Rohde (SIAM J. Sci. Comput., 2023)

Closed Form Optimized Transmission Conditions for Complex Diffusion with Many Subdomains. - Victorita Dolean; Martin J. Gander; Alexandros Kyriakis (SIAM J. Sci. Comput., 2023)

Why Fourier mode analysis in time is different when studying Schwarz Waveform Relaxation. - Martin J. Gander; Véronique Martin (J. Comput. Phys., 2023)

A Unified Analysis Framework for Iterative Parallel-in-Time Algorithms. - Martin J. Gander; Thibaut Lunet; Daniel Ruprecht; Robert Speck (SIAM J. Sci. Comput., 2023)

B-methods for the numerical solution of evolution problems with blow-up solutions part II: Splitting methods. - Mélanie Beck; Martin J. Gander; Felix Kwok (Comput. Math. Appl., 2023)

Non-overlapping Schwarz methods in time for parabolic optimal control problems. - Martin Jakob Gander; Liu-Di Lu (CoRR, 2024)

A Parareal algorithm without Coarse Propagator? - Martin J. Gander; Mario Ohlberger; Stephan Rave (CoRR, 2024)

New Time Domain Decomposition Methods for Parabolic Optimal Control Problems I: Dirichlet-Neumann and Neumann-Dirichlet Algorithms. - Martin J. Gander; Liudi Lu (SIAM J. Numer. Anal., 2024)

New Time Domain Decomposition Methods for Parabolic Optimal Control Problems II: Neumann-Neumann Algorithms. - Martin J. Gander; Liudi Lu (SIAM J. Numer. Anal., 2024)

Optimized Schwarz Waveform Relaxation Methods for the Telegrapher Equation. - Mohammad Al-Khaleel; Martin J. Gander; Pratik M. Kumbhar (SIAM J. Sci. Comput., 2024)

Asymptotic Dispersion Correction in General Finite Difference Schemes for Helmholtz Problems. - Pierre-Henri Cocquet; Martin J. Gander (SIAM J. Sci. Comput., 2024)

Spectral Analysis of Implicit ( boldsymbol{S} )-Stage Block Runge-Kutta Preconditioners. - Martin J. Gander; Michal Outrata (SIAM J. Sci. Comput., 2024)

A New ParaDiag Time-Parallel Time Integration Method. - Martin J. Gander; Davide Palitta (SIAM J. Sci. Comput., 2024)

Analysis of Schwarz Methods for Convected Helmholtz-Like Equations. - Martin J. Gander; Antoine Tonnoir (SIAM J. Sci. Comput., 2024)

Time parallelization for hyperbolic and parabolic problems. - Martin J. Gander; Shu-Lin Wu; Tao Zhou (Acta Numer., 2025)

Corrigendum: Domain Decomposition Approaches for Mesh Generation via the Equidistribution Principle. - Martin J. Gander; Ronald D. Haynes; Felix Kwok (SIAM J. Numer. Anal., 2025)

On the Relationship Between the Pole Condition, Absorbing Boundary Conditions, and Perfectly Matched Layers. - Martin J. Gander; A. Schädle (SIAM J. Numer. Anal., 2025)

Optimized Schwarz Methods for Biharmonic Equations. - Martin J. Gander; Yongxiang Liu (SIAM J. Sci. Comput., 2025)

Fourier Analysis of Finite Difference Schemes for the Helmholtz Equation: Sharp Estimates and Relative Errors. - Martin J. Gander; Hui Zhang (CoRR, 2025)

Natural damping of time-harmonic waves and its influence on Schwarz methods. - Martin J. Gander; Hui Zhang (CoRR, 2025)

On an efficient line smoother for the p-multigrid γ-cycle. - José Pablo Lucero Lorca; Duane Rosenberg; Isidora Jankov; Conor McCoid; Martin Jakob Gander (CoRR, 2025)

Discontinuous Galerkin time integration for second-order differential problems: formulations, analysis, and analogies. - Gabriele Ciaramella; Martin J. Gander; Ilario Mazzieri (CoRR, 2025)

Optimized Schwarz methods for heterogeneous heat transfer problems. - Martin J. Gander; Liu-Di Lu; Tingting Wu (CoRR, 2025)

Intersection of Tetrahedra. - Conor McCoid; Martin J. Gander (ACM Trans. Math. Softw., 2025)

A Parareal Algorithm with Spectral Coarse Solver. - Martin J. Gander; Mario Ohlberger; Stephan Rave (CoRR, 2025)