What is he best known for?
The fields of study he is best known for:
- Mathematical analysis
- Algebra
- Partial differential equation
Martin J. Gander mostly deals with Domain decomposition methods, Applied mathematics, Mathematical analysis, Iterative method and Algorithm.
His Domain decomposition methods study integrates concerns from other disciplines, such as Rate of convergence, Multigrid method and Numerical analysis.
Martin J. Gander interconnects FETI and Parareal in the investigation of issues within Numerical analysis.
His work deals with themes such as Parareal algorithm and Mathematical optimization, which intersect with Applied mathematics.
He studied Iterative method and Helmholtz equation that intersect with Function.
His work investigates the relationship between Algorithm and topics such as Solver that intersect with problems in Minification, Equivalence, Riemann hypothesis and Multiplicative function.
His most cited work include:
- Optimized Schwarz Methods (317 citations)
- Optimized Schwarz Methods without Overlap for the Helmholtz Equation (269 citations)
- Analysis of the Parareal Time-Parallel Time-Integration Method (254 citations)
What are the main themes of his work throughout his whole career to date?
The scientist’s investigation covers issues in Applied mathematics, Domain decomposition methods, Mathematical analysis, Schwarz alternating method and Discretization.
His work carried out in the field of Applied mathematics brings together such families of science as Partial differential equation, Mathematical optimization and Preconditioner.
Martin J. Gander combines subjects such as Numerical analysis, Iterative method, Algorithm, Solver and Relaxation with his study of Domain decomposition methods.
Mathematical analysis and Rate of convergence are frequently intertwined in his study.
His Schwarz alternating method research is multidisciplinary, incorporating elements of Additive Schwarz method and Elliptic partial differential equation.
His Discretization research is multidisciplinary, incorporating perspectives in Matrix, Finite volume method and Finite element method, Discontinuous Galerkin method.
He most often published in these fields:
- Applied mathematics (45.18%)
- Domain decomposition methods (38.54%)
- Mathematical analysis (27.24%)
What were the highlights of his more recent work (between 2016-2021)?
- Applied mathematics (45.18%)
- Domain decomposition methods (38.54%)
- Mathematical analysis (27.24%)
In recent papers he was focusing on the following fields of study:
Applied mathematics, Domain decomposition methods, Mathematical analysis, Transmission and Helmholtz free energy are his primary areas of study.
His Applied mathematics research incorporates themes from Partial differential equation, Iterative method, Preconditioner, Discretization and Parareal algorithm.
His studies deal with areas such as Linear system and Maxwell's equations as well as Iterative method.
His Domain decomposition methods research integrates issues from Scalability, Elliptic partial differential equation and Domain.
His Scalability study combines topics from a wide range of disciplines, such as Algorithm and Solver.
Martin J. Gander works mostly in the field of Additive Schwarz method, limiting it down to topics relating to Schwarz alternating method and, in certain cases, Laplace's equation.
Between 2016 and 2021, his most popular works were:
- A Class of Iterative Solvers for the Helmholtz Equation: Factorizations, Sweeping Preconditioners, Source Transfer, Single Layer Potentials, Polarized Traces, and Optimized Schwarz Methods (53 citations)
- How Large a Shift is Needed in the Shifted Helmholtz Preconditioner for its Effective Inversion by Multigrid (17 citations)
- Analysis of the Parallel Schwarz Method for Growing Chains of Fixed-Sized Subdomains: Part I (15 citations)
In his most recent research, the most cited papers focused on:
- Mathematical analysis
- Algebra
- Partial differential equation
Martin J. Gander spends much of his time researching Applied mathematics, Parareal algorithm, Domain decomposition methods, Parareal and Partial differential equation.
The concepts of his Applied mathematics study are interwoven with issues in Iterative method, Preconditioner and Interpretation.
His study focuses on the intersection of Iterative method and fields such as Grid with connections in the field of Additive Schwarz method.
His research investigates the link between Interpretation and topics such as Numerical analysis that cross with problems in Multigrid method.
His Domain decomposition methods research incorporates elements of Scalability and Elliptic partial differential equation.
His research in Scalability focuses on subjects like Mathematical optimization, which are connected to Algorithm.
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