D-Index & Metrics Best Publications

D-Index & Metrics D-index (Discipline H-index) only includes papers and citation values for an examined discipline in contrast to General H-index which accounts for publications across all disciplines.

Discipline name D-index D-index (Discipline H-index) only includes papers and citation values for an examined discipline in contrast to General H-index which accounts for publications across all disciplines. Citations Publications World Ranking National Ranking
Mathematics D-index 43 Citations 7,978 253 World Ranking 1157 National Ranking 4

Overview

What is he best known for?

The fields of study he is best known for:

  • Quantum mechanics
  • Mathematical analysis
  • Geometry

Mathematical analysis, Inverse problem, Boundary, Cloaking and Boundary value problem are his primary areas of study. The various areas that Matti Lassas examines in his Mathematical analysis study include Electrical impedance tomography, Inverse and Conductivity. His work deals with themes such as Surface and Anisotropy, which intersect with Conductivity.

His Inverse problem research incorporates elements of Tomography, Prior probability, Bayesian probability and Applied mathematics. His research in Boundary intersects with topics in Riemannian manifold, Riemann curvature tensor, Geometry and Domain. His Cloaking research is multidisciplinary, incorporating perspectives in Helmholtz equation, Wave propagation, Cylinder, Maxwell's equations and Near and far field.

His most cited work include:

  • On nonuniqueness for Calderón’s inverse problem (422 citations)
  • Anisotropic conductivities that cannot be detected by EIT. (342 citations)
  • Full-Wave Invisibility of Active Devices at All Frequencies (251 citations)

What are the main themes of his work throughout his whole career to date?

His scientific interests lie mostly in Mathematical analysis, Inverse problem, Boundary, Riemannian manifold and Inverse. His study in Boundary value problem, Domain, Inverse scattering problem, Geodesic and Manifold is carried out as part of his studies in Mathematical analysis. Matti Lassas has researched Boundary value problem in several fields, including Regularization and Partial differential equation.

His Inverse problem research is multidisciplinary, relying on both Mathematical physics, Wave equation, Artificial intelligence, Applied mathematics and Nonlinear system. As a part of the same scientific family, Matti Lassas mostly works in the field of Boundary, focusing on Isotropy and, on occasion, Conductivity. His Riemannian manifold study combines topics in areas such as Closed manifold, Pseudo-Riemannian manifold, Isometry and Combinatorics.

He most often published in these fields:

  • Mathematical analysis (52.08%)
  • Inverse problem (38.98%)
  • Boundary (30.67%)

What were the highlights of his more recent work (between 2018-2021)?

  • Inverse problem (38.98%)
  • Mathematical analysis (52.08%)
  • Manifold (14.06%)

In recent papers he was focusing on the following fields of study:

His primary scientific interests are in Inverse problem, Mathematical analysis, Manifold, Boundary and Riemannian manifold. His studies deal with areas such as Pure mathematics, Applied mathematics, Euclidean geometry, Artificial intelligence and Nonlinear system as well as Inverse problem. The study of Mathematical analysis is intertwined with the study of Scattering in a number of ways.

Matti Lassas combines subjects such as Bounded function, Inverse and Finsler manifold with his study of Boundary. His Inverse research includes themes of Differential topology and Boundary value problem. His biological study spans a wide range of topics, including Fractional part, Combinatorics, Heat equation and Wave equation.

Between 2018 and 2021, his most popular works were:

  • Learning the invisible: a hybrid deep learning-shearlet framework for limited angle computed tomography (50 citations)
  • Partial data inverse problems and simultaneous recovery of boundary and coefficients for semilinear elliptic equations (25 citations)
  • Inverse problems for elliptic equations with power type nonlinearities (25 citations)

In his most recent research, the most cited papers focused on:

  • Quantum mechanics
  • Mathematical analysis
  • Geometry

Matti Lassas spends much of his time researching Inverse problem, Manifold, Riemannian manifold, Nonlinear system and Boundary. To a larger extent, Matti Lassas studies Mathematical analysis with the aim of understanding Inverse problem. His work in Mathematical analysis is not limited to one particular discipline; it also encompasses Inverse.

His Riemannian manifold research includes elements of Metric, Wave equation and Combinatorics. His research investigates the connection between Nonlinear system and topics such as Applied mathematics that intersect with problems in Euclidean geometry, Conformal map, Simple, Linear equation and Hyperbolic partial differential equation. His Boundary research is multidisciplinary, incorporating perspectives in Poisson distribution, Embedding, Space and Isometry.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Best Publications

On nonuniqueness for Calderón’s inverse problem

Allan Greenleaf;Matti Lassas;Gunther Uhlmann.
Mathematical Research Letters (2003)

493 Citations

Inverse Boundary Spectral Problems

Alexander P. Katchalov;Yaroslav V. Kurylev;Matti Lassas.
(2001)

419 Citations

Anisotropic conductivities that cannot be detected by EIT.

Allan Greenleaf;Matti Lassas;Gunther Uhlmann.
Physiological Measurement (2003)

415 Citations

Electromagnetic wormholes and virtual magnetic monopoles from metamaterials.

Allan Greenleaf;Yaroslav Kurylev;Matti Lassas;Gunther Uhlmann.
Physical Review Letters (2007)

296 Citations

Full-Wave Invisibility of Active Devices at All Frequencies

Allan Greenleaf;Yaroslav V. Kurylev;Matti Lassas;Gunther Uhlmann.
Communications in Mathematical Physics (2007)

280 Citations

Cloaking Devices, Electromagnetic Wormholes, and Transformation Optics

Allan Greenleaf;Yaroslav Kurylev;Matti Lassas;Gunther Uhlmann.
Siam Review (2009)

260 Citations

Calderóns' Inverse Problem for Anisotropic Conductivity in the Plane

Kari Astala;Lassi Päivärinta;Matti Lassas.
Communications in Partial Differential Equations (2005)

204 Citations

Statistical inversion for medical x-ray tomography with few radiographs: I. General theory

S Siltanen;V Kolehmainen;S Järvenpää;J P Kaipio.
Physics in Medicine and Biology (2003)

202 Citations

On the existence and convergence of the solution of PML equations

Matti Lassas;Erkki Somersalo.
Computing (1998)

198 Citations

On determining a Riemannian manifold from the Dirichlet-to-Neumann map

Matti Lassas;A. N. D. Gunther Uhlmann.
Annales Scientifiques De L Ecole Normale Superieure (2001)

191 Citations

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