This book collects many of the presented papers, as plenary presentations, mini-symposia invited presentations, or contributed talks, from the European Conference on Numerical Mathematics and Advanced Applications (ENUMATH) 2017. The conference was organized by the University of Bergen, Norway from September 25 to 29, 2017. Leading experts in the field presented the latest results and ideas in the designing, implementation, and analysis of numerical algorithms as well as their applications to relevant, societal problems.

ENUMATH is a series of conferences held every two years to provide a forum for discussing basic aspects and new trends in numerical mathematics and scientific and industrial applications. These discussions are upheld at the highest level of international expertise. The first ENUMATH conference was held in Paris in 1995 with successive conferences being held at various locations across Europe, including Heidelberg (1997), Jyvaskyla (1999), lschia Porto (2001), Prague (2003), Santiago de Compostela (2005), Graz (2007), Uppsala (2009), Leicester (2011), Lausanne (2013), and Ankara (2015).

Inhalt

Plenary lectures.- PDE Apps for Acoustic Ducts: A Parametrized Component-to-System Model-Order-Reduction Approach.- Sub-voxel perfusion modeling in terms of coupled 3d-1d problem.- Iterative linearisation schemes for doubly degenerate parabolic equations.- Mathematics and Medicine: How mathematics, modelling and simulations can lead to better diagnosis and treatments.- Kernel methods for large scale problems: algorithms and applications.- Convergence of Multilevel Stationary Gaussian Convolution.- Anisotropic weights for RBF-PU interpolation with subdomains of variable shapes.- Radial basis function approximation method for pricing of basket options under jump diffusion model.- Greedy Algorithms for Matrix-Valued Kernels.- GPU Optimization of Large-Scale Eigenvalue Solver.- Advanced discretization methods for computational wave propagation.- On the efficiency of the PeacemanRachford ADI-dG method for wave-type problems.- Trefftz - Discontinuous Galerkin Approach for Solving Elastodynamic Problem.- Unfitted finite element methods: analysis and applications.- FETI-DP preconditioners for the Virtual Element Method on general 2D.- Modeling flow and transport in fractured media by a hybrid finite volume-finite element method.- A cut-cell Hybrid High-Order method for elliptic problems with curved boundaries.- A cut finite element method with boundary value correction for the incompressible Stokes equations.- Numerical Integration on Hyperrectangles in Isoparametric Unfitted Finite Elements.- Advances in numerical linear algebra methods and applications to partial differential equations.- On a generalization of Neumann series of Bessel functions using Hessenberg matrices and matrix exponentials.- Influence of the SIPG penalisation on the numerical properties of linear systems for elastic wave propagation.- Function-based Algebraic Multigrid method for the 3D Poisson problem on structured meshes.- Numerical methods in biophysics.- Mathematical modelling of phenotypic selection within solid tumours.- Uncertainty assessment of a hybrid cell-continuum based model for wound contraction.- Structure preserving discretizations and high order finite elements for differential forms.- The discrete relations between fields and potentials with high order Whitney forms.- Model Order Reduction of an Elastic Body under Large Rigid Motion.- On surface area and length preserving flows of closed curves on a given surface.- Derivation of higher-order terms in FFT-based numerical homogenization.- Monge-Ampère solvers with applications to illumination optics.- A Least-Squares Method for a Monge-Ampère Equation with Non-Quadratic Cost Function Applied to Optical Design.- Solving inverse illumination problems with Liouville's equation.- Mixed and nonsmooth methods in numerical solid mechanics.- Strong vs. Weak Symmetry in Stress-Based Mixed Finite Element Methods for Linear Elasticity.- Evolution of load-bearing structures with phase field modeling.- An accelerated Newton method for nonlinear materials in structure mechanics and fluid mechanics.- A posteriori error estimation, adaptivity and approximation.- Best error localizations for piecewise polynomial approximation of gradients, functions and functionals.- Adaptive Discontinuous Galerkin Methods for flow in porous media.- An adaptive Escheme for conservation laws.- Adaptive Filtered Schemes for first order Hamilton-Jacobi equations.- Goal-oriented a posteriori error estimates in nearly incompressible linear elasticity.- Nitsche's method for the obstacle problem of clamped Kirchhoff plates.- Noncommutative stochastic differential equations: Analysis and simulation.- Stochastic B-series and order conditions for exponential integrators.- What is a post-Lie algebra and why is it useful in geometric integration.- On non-commutative stochastic exponentials.- Innovative numerical methods and their analysis for elliptic and partabolic PDEs.- An introduction to the gradient discretisation method.- Quasi-optimal nonconforming methods for second-order problems on domains with non-Lipschitz boundary.- Convergence of adaptive finite element methods with error-dominated oscillation.- Finite element methods for parabolic problems with time-dependent domains application to a milling simulation.- Polyhedral methods and applications.- Numerical investigation of the conditioning for plane wave discontinuous Galerkin methods.- The Virtual Element Method for the transport of passive scalars in Discrete Fracture Networks.- On the implementation of a multiscale Hybrid High-Order method.- VEM for the Reissner-Mindlin plate...