| Description |
1 online resource (430 pages) |
| Series |
MATRIX Book Ser. ; v. 3 |
|
MATRIX Book
|
| Contents |
Part I. Refereed articles -- Part Ia: On the frontiers of high dimensional computation -- The radiative transport equation with heterogeneous cross-sections -- A reduced-order-model Bayesian obstacle detection algorithm -- Bounding the spectral gap for an elliptic eigenvalue problem with uniformly bounded stochastic coefficients -- On the Power of Restricted Monte Carlo Algorithms -- Exponential tractability of linear tensor product problems -- Worst-case error for unshifted lattice rules without randomisation -- New preasymptotic estimates for approximation of periodic Sobolev functions -- Data based construction of Kernels for classification -- P1-nonconforming polyhedral finite elements in high dimensions -- Part Ib. Month of Mathematical Biology -- The status of the QSSA approximation in stochastic simulations of reaction networks -- Accurate particle-based reaction algorithms for fixed timestep simulators -- Part Ic. Decay estimates in time for classical and anomalous diffusion -- Multi-point maximum principles and eigenvalue estimates -- A note on Liouville type results for a fractional obstacle problem -- Symmetry results for the solutions of a partial differential equation arising in water waves -- Geometric properties of superlevel sets of semilinear elliptic equations in convex domains -- A potential well argument for a semilinear parabolic equation with exponential nonlinearity -- Quantitative analysis of a singularly perturbed shape optimization problem in a polygon -- A rigidity theorem for ideal surfaces with flat boundary -- On minimizers and critical points for anisotropic isoperimetric problems -- Liouville-type theorems for nonlinear elliptic and parabolic problems -- Part II. Other contributed articles -- Algebraic Geometry, Approximation and Optimisation -- Dynamics, Foliations, and Geometry In Dimension 3 -- Geometric and Categorical Representation Theory |
| Summary |
MATRIX is Australias international and residential mathematical research institute. It facilitates new collaborations and mathematical advances through intensive residential research programs, each 1-4 weeks in duration. This book is a scientific record of the eight programs held at MATRIX in 2018: - Non-Equilibrium Systems and Special Functions - Algebraic Geometry, Approximation and Optimisation - On the Frontiers of High Dimensional Computation - Month of Mathematical Biology - Dynamics, Foliations, and Geometry In Dimension 3 - Recent Trends on Nonlinear PDEs of Elliptic and Parabolic Type - Functional Data Analysis and Beyond - Geometric and Categorical Representation Theory The articles are grouped into peer-reviewed contributions and other contributions. The peer-reviewed articles present original results or reviews on a topic related to the MATRIX program; the remaining contributions are predominantly lecture notes or short articles based on talks or activities at MATRIX |
| Notes |
Print version record |
| Subject |
Mathematics.
|
|
Mathematics
|
|
Matemáticas
|
|
Mathematics
|
| Form |
Electronic book
|
| Author |
Wood, David R
|
|
De Gier, Jan
|
|
Praeger, Cheryl E
|
|
Tao, Terence
|
| ISBN |
9783030382308 |
|
3030382303 |
|
