# Keyword index D

**damage****Darboux polynomial**- 51/2008 - Solutions of some second order ODEs by the extended Prelle-Singer method and symmetrics

**Darboux polynomials**- 39/2009 - Higher-order Abel equations: Lagrangian formalism, Darboux polynomials and constants of the motion

**Darboux transformations**- 134/2006 - Cylindrical KP revisited

**data compression**- 103/2013 - Superfast Wavelet Transform Using QTT Approximation. I: Haar Wavelets

**data-sparse**- 92/2007 - Construction of data-sparse
^{2}-matrices by hierarchical compression

- 92/2007 - Construction of data-sparse
**data-sparse approximate inverse**- 79/2001 - Data-sparse approximate inverse in elliptic problems: Green's function approach

**data-sparse approximation**- 21/2003 (
*Lecture note*) - Hierarchical Matrices - 114/2005 - Adaptive variable-rank approximation of general matrices
- 84/2005 - Nonlinear multigrid for the solution of large scale Riccati equations in low-rank and -matrix format
- 44/2005 - Data-sparse approximation of non-local operators by
^{2}-matrices - 18/2004 - Approximation of integral operators by
^{2}-matrices with adaptive bases - 20/2003 - Data-sparse approximation of a class of operator-valued functions

- 21/2003 (
**data-sparse approximation to poincaré-steklov oper**- 45/2001 - Boundary concentrated finite element methods

**data-sparse approximations**- 11/2007 - On the Robustness of Elliptic Resolvents Computed by means of the Technique of Hierarchical Matrices
- 7/2003 -
^{2}-matrices — Multilevel methods for the approximation of integral operators - 103/2002 - Construction and Arithmetics of -Matrices
- 106/2001 - Adaptive refinement and clustering of -matrices
- 105/2001 - An introduction to hierarchical matrices
- 66/1999 - A sparse -matrix arithmetic: general complexity estimates

**data-sparse formats**- 45/2011 - QTT-rank-one vectors with QTT-rank-one and full-rank Fourier images

**data-sparse matrices**- 54/1999 - -matrix approximation on graded meshes

**data-sparse matrix approximations**- 59/2005 - Low-Rank wavelet solver for the Ornstein-Zernike integral equation

**data-sparse techniques**- 67/2012 - Fast Convolution Quadrature for Wave Equation in Three Dimensions

**Daubechies wavelet bases**- 71/2009 - Efficient multi-scale computation of products of orbitals in electronic structure calculations

**davey-stewartson system**- 124/2005 - Numerical Study of Oscillatory Regimes in the Kadomtsev-Petviashvili Equation

**De Giorgi Conjecture**- 44/2006 - On the De Giorgi Conjecture in Half spaces

**debonding**- 14/2009 - Quasistatic delamination problem

**deep belief network**- 74/2014 - Universal Approximation Depth and Errors of Narrow Belief Networks with Discrete Units

**Deep learning****defect measure**- 116/2002 - On the rectifiability of defect measures arising in a micromagnetics model

**defected lattice in a box**- 65/2015 - Fast tensor method for summation of long-range potentials on 3D lattices with defects

**Defining relations**- 89/2006 - Sylvester-’t Hooft generators of sl(n) and gl(n|n), and relations between them

**deflagration**- 42/2004 - Travelling fronts in pressure-driven combustion

**Deformation**- 36/2012 - Wedge-Local Quantum Fields on a Nonconstant Noncommutative Spacetime

**deformation theory**- 51/2004 - Mathematics of CLIFFORD - A Maple package for Graßmann and Clifford algebras

**deformation theoy**- 52/2004 - Clifford and Graßmann Hopf algebras via the BIGEBRA package for Maple

**deformed diffeomorphisms**- 142/2006 - Noncommutative Integrable Systems and Diffeomorphism on Quantum Spaces

**deformed spaces**- 142/2006 - Noncommutative Integrable Systems and Diffeomorphism on Quantum Spaces

**degenerate and singular parabolic equations**- 97/2003 - Reaction-Diffusion in Nonsmooth and Closed Domains
- 48/2001 - Nonlinear Diffusion in Irregular Domains
- 40/2000 - Well-posedness of the Dirichlet Problem for the Nonlinear Diffusion Equation in Non-smooth Domains
- 39/2000 - On the Dirichlet Problem for the Nonlinear Diffusion Equation in Non-smooth Domains

**degenerate diusion process**- 22/2013 - A classical Perron method for existence of smooth solutions to boundary value and obstacle problems for degenerate-elliptic operators via holomorphic maps

**degenerate diffusion process****degenerate elliptic dierential operator**- 22/2013 - A classical Perron method for existence of smooth solutions to boundary value and obstacle problems for degenerate-elliptic operators via holomorphic maps

**degenerate elliptic differential operator**- 31/2012 - C
^{1,1}regularity for degenerate elliptic obstacle problems in mathematical finance

- 31/2012 - C
**degenerate meshes**- 102/2002 - Finite elements on degenerate meshes: inverse-type inequalities and applications

**degenerate parabolic equations**- 45/2015 - Rigorous asymptotics of traveling-wave solutions to the thin-film equation and Tanner's law
- 77/2014 - Well-Posedness and Self-Similar Asymptotics for a Thin-Film Equation
- 1/2014 - Well-posedness for the Navier-Slip Thin-Film Equation in the Case of Complete Wetting
- 23/2012 - Regularity of source-type solutions to the thin-film equation with zero contact angle and mobility exponent between 3/2 and 3
- 12/2007 - Error estimates for a mixed finite element discretization of some degenerate parabolic equations

**degenerate-elliptic differential operator**- 50/2012 - Degenerate-elliptic operators in mathematical finance and higher-order regularity for solutions to variational equations

**Degenerations**- 72/2009 - Families of Line Bundles over Riemann Surfaces, their Sections, and their Degenerations -- A Constructive Approach using Automorphic Forms

**degree distribution**- 118/2006 - Network synchronization: Spectral versus statistical properties

**delamination**- 14/2009 - Quasistatic delamination problem

**Delaunay**- 16/2006 - On toroidal rotating drops

**delay**- 117/2014 - Local pinning of networks of multi-agent systems with transmission and pinning delays
- 110/2013 - Patterns from bifurcations: A symmetry analysis of networks with delayed coupling
- 4/2013 - Synchronization in bipartite networks of oscillators with coupling delays
- 32/2011 - On delay-induced stability in diffusively coupled discrete-time systems
- 31/2011 - Complex transitions to synchronization in delay-coupled networks of logistic maps
- 30/2011 - Consensus and synchronization in discrete-time networks of multi-agents with stochastically switching topologies and time delays
- 83/2007 - Entropy, dimension, and state mixing in a class of time-delayed dynamical systems
- 122/2006 - Stability of traffic flow with distributed delays modeling the memory effects of the drivers
- 23/2006 - Stability of coupled map networks with delays
- 15/2004 - Oscillator death in coupled functional differential equations near Hopf bifurcation
- 54/2003 - Stability and bifurcations in neural fields with axonal delay and general connectivity

**Delayed integro-differential system**- 53/2007 - Almost periodic dynamics of a class of delayed neural networks with discontinuous activations

**Dense Matrices****Density functional theory**- 66/2008 - Density fitting scheme for pseudo-potentials
- 4/2008 - On Tensor Approximation of Green Iterations for Kohn-Sham Equations
- 3/2008 - Concepts of Data-Sparse Tensor-Product Approximation in Many-Particle Modelling
- 60/2005 - Best N-term approximation in electronic structure calculations.I. One-electron reduced density matrix

**Density matrix**- 70/2013 - Mesh-Free Canonical Tensor Products for Six-Dimensional Density Matrix: Computation of Kinetic Energy

**Density-fitting method**- 29/2009 - Canonical tensor products as a generalization of Gaussian-type orbitals

**dependency-strengthening processes**- 52/2000 - An information geometric approach to a theory of pragmatic structuring

**derivatives of single layer potentials**- 53/2006 - About solutions of Poisson's equation with transition condition in non-smooth domains

**determinants of Laplacians**- 59/2006 - Genus one polyhedral surfaces, spaces of quadratic differentials on tori and determinants of Laplacians

**determinants of the laplacians**- 46/2004 - Tau-functions on spaces of Abelian and quadratic differentials and determinants of Laplacians in Strebel metrics of finite volume

**developable surfaces**- 41/2003 - On the Sobolev space of isometric immersions

**diagnosis of breast tumors**- 7/2010 - An experimental evaluation of boosting methods for classification

**diagonally stable**- 112/2006 - Global synchronization of discrete time dynamical network with a directed graph

**dictyostelium discoideum**- 43/2004 - How cellular movement determines the collective force generated by the {\em Dictyostelium discoideum} slug

**diffeomorphism finiteness**- 57/1999 - Geometric Diffeomorphism Finiteness in Low Dimensions and Homotopy Group Finiteness

**diffeomorphism invariant boundary condition**- 67/2005 - A new spectral cancellation in quantum gravity

**difference operator**- 28/2010 - An optimal error estimate in stochastic homogenization of discrete elliptic equations

**differentiability****differential calculus****differential constraint**- 51/2007 - Symmetry approaches for reductions of PDEs, differential constraints and Lagrange-Charpit method.

**differential geometry****differential inclusions**- 46/2001 - Few remarks on differential inclusions

**differential inclusions****differential structure**- 22/2000 - Connections on locally trivial quantum principal fibre bundles

**differentialgleichung**- 14/2002 (
*Lecture note*) - Partielle Differentialgleichungen aus der Geometrie und Physik I - Parabolische und elliptische Probleme

- 14/2002 (
**diffraction**- 34/2008 - Diffractive geometric optics for Bloch wave packets

**diffractive geometric optics****diffuse interface**- 6/2007 - The Wulff Problem For Diffuse Interface

**diffuse interface model**- 5/2008 - Existence of Weak solutions for a Diffuse Interface Model for Viscous, Incompressible Fluids with General Densities
- 74/2007 - On a diffuse interface model for a two-phase flow of compressible viscous fluids
- 15/2007 - On a Diffuse Interface Model for Two-Phase Flows of Viscous, Incompressible Fluids with Matched Densities

**diffuse interface models**- 19/2009 - Non-homogeneous Navier-Stokes systems with order-parameter dependent stresses

**diffusion equation**- 28/2002 - First boundary value problem for the diffusion equation.

I.Iterated logarithm test for the boundary regularity and solvability.

- 28/2002 - First boundary value problem for the diffusion equation.
**diffusion in random environment**- 63/2008 - On the equivalence of the static and dynamic point of view for diffusions in a random environment

**Diffusion process**- 40/2012 - Poincaré and logarithmic Sobolev inequalities by decomposition of the energy landscape

**Digital Image Correlation**- 84/2008 - Lamination microstructure in shear deformed copper single crystals

**dilaton**- 86/2002 - Duality symmetry of the p-form effective action and super trace of the twisted de Rham complex

**dilaton gravity****dimension reduction**- 61/2013 - On the general homogenization and Γ-closure for the equations of von Kármán plate from 3D nonlinear elasticity
- 51/2013 - Dimension reduction for compressible viscous fluids
- 34/2013 - A note on the derivation of homogenized bending plate model
- 33/2013 - Derivation of a homogenized von Kármán shell theory
- 61/2012 - Derivation of a Homogenized Von-Kármán Plate Theory from 3d Nonlinear Elasticity
- 74/2011 - Rigorous derivation of a homogenized bending-torsion theory for inextensible rods from 3d elasticity
- 28/2008 - Asymptotic models for curved rods derived from nonlinear elasticity by Gamma-convergence
- 126/2006 - Convergence of equilibria of three-dimensional thin elastic beams

**dimensional reduction**- 70/2015 - Characterization of Exact Lumpability of Smooth Dynamics on Manifolds

**diperna-madja measures**- 57/1998 - Optimization problems with concentration and oscillation effects: relaxation theory and numerical approximation

**dipole**- 95/2007 - A highly accurate full subtraction approach for dipole modelling in EEG source analysis using the finite element method

**Dirac equation****Dirac harmonic maps**- 97/2013 - The Einstein-Hilbert action with cosmological constant as a functional of generic form

**dirac operator****Dirac operators****Dirac Type Differential Operators****dirac type operator**- 81/2002 - Heat content asymptotics for spectral boundary conditions

**dirac type operators****Dirac-Frenkel**- 24/2012 - Efficient time-stepping scheme for dynamics on TT-manifolds

**Dirac-geodesics**- 30/2015 - Dirac-geodesics and their heat flows

**Dirac-harmonic map**- 66/2014 - Gradient Estimates and Liouville Theorems for Dirac-harmonic maps
- 18/2012 - The maximum principle and the Dirichlet problem for Dirac-harmonic maps
- 69/2011 - The boundary value problem for Dirac-harmonic maps
- 51/2009 - Some explicit constructions of Dirac-harmonic maps
- 32/2008 - Regularity for weakly Dirac-harmonic maps to hypersurfaces
- 43/2007 - Liouville Theorems for Dirac-Harmonic Maps

**Dirac-harmonic map flow**- 79/2014 - Estimates for solutions of Dirac equations and an application to a geometric elliptic-parabolic problem

**Dirac-harmonic maps**- 26/2008 - Dirac-harmonic maps from degenerating spin surfaces I: the Neveu-Schwarz case

**direct coupling**- 46/2009 - Synchronized chaos in networks of simple units

**direct integration**- 68/2001 - Direct integration of the Newton potential over cubes including a program description

**direct solver**- 65/2008 - Performance of H-LU Preconditioning for Sparse Matrices

**direct solvers**- 64/2001 - An efficient direct solver for the boundary concentrated FEM in 2D

**directed acyclic graphs**- 47/2006 - Information Flows in Causal Networks

**directed acyclic networks**- 54/2001 - Locality of global stochastic interaction in directed acyclic networks

**directed graph**- 112/2006 - Global synchronization of discrete time dynamical network with a directed graph

**direction-sensing**- 13/2006 - Taxis Equations for Amoeboid Cells

**dirichlet boundary value problem**- 61/2003 - Schouten Tensor Equations in Conformal Geometry with Prescribed Boundary Metric

**dirichlet boundary values**- 14/2001 - Hypersurfaces of prescribed Gauss curvature in exterior domains

**dirichlet convolution**- 10/2006 - Renormalization : A number theoretical model

**Dirichlet forms**- 64/2013 - Averaging via Dirichlet Forms

**dirichlet problem**- 55/2014 - The asymptotic behavior of a class of nonlinear semigroups in Hadamard spaces
- 89/2013 - Multiple Solutions for Semi-linear Corner Degenerate Elliptic Equations
- 48/2001 - Nonlinear Diffusion in Irregular Domains
- 40/2000 - Well-posedness of the Dirichlet Problem for the Nonlinear Diffusion Equation in Non-smooth Domains
- 39/2000 - On the Dirichlet Problem for the Nonlinear Diffusion Equation in Non-smooth Domains

**dirichlet series**- 10/2006 - Renormalization : A number theoretical model

**Dirichlet-to-Neumann operator**- 5/2012 - Time-domain Dirichlet-to-Neumann map and its discretization

**disc pictures**- 52/2014 - The Tits alternative for non-spherical triangles of groups

**disclinations****discontinuous activation**- 53/2007 - Almost periodic dynamics of a class of delayed neural networks with discontinuous activations

**discrepancy**- 1/2006 - Discrepancy of Symmetric Products of Hypergraphs

**discrete boundary value problems**- 138/2006 - Numerical Method for Elliptic Multiscale Problems

**discrete convolution****discrete curvature**- 32/2009 - An Atomistic to Continuum Model for Biopolymers Self-Assembled Aggregation

**discrete dynamics**- 15/2003 - On the Γ-Convergence of Discrete Dynamics and Variational Integrators

**discrete model**- 30/2004 - On the path of a quasistatic crack in Mode III

**discrete multivariate convolution**- 44/2009 - Numerical solution of the Hartree-Fock equation in multilevel tensor-structured format

**discrete samplings**- 20/2011 - Universally Typical Sets for Ergodic Sources of Multidimensional Data

**discrete tensor operations**- 25/2009 - Computation of the Hartree-Fock Exchange by the Tensor-structured Methods

**dislocation theory**- 65/2002 - A nonsingular solution of the edge dislocation in the gauge theory of dislocations

**dislocations**- 67/2009 - On a mesoscopic many-body Hamiltonian describing elastic shears and dislocations
- 19/2007 - Existence of minimizers for a polyconvex energy in a crystal with dislocations
- 92/2003 - Γ-limit of a phase-field model of dislocations
- 37/2003 - Dislocations in the Field Theory of Elastoplasticity
- 36/2003 - Twist disclination in the field theory of elastoplasticity
- 30/2003 - Wedge disclination in the field theory of elastoplasticity

**dispersive equation**- 57/2007 - Numerical study of a multiscale expansion of the Korteweg de Vries equation

**dispersive medium**- 31/2002 - Heat kernel coefficients and divergencies of the Casimir energy for the dispersive sphere

**dissipative pdes**- 39/2005 - Rigorous Numerics for Dissipative PDEs III. An effective algorithm for rigorous computation of trajectories and Poincaré maps

**distance function**- 1/2000 - Conditions for equality of hulls in the calculus of variations

**distance non-increasing retraction**- 75/2003 - A new proof of Cheeger-Gromoll soul conjecture and Takeuchi Theorem

**distance to divergence free fields**- 50/2014 - Estimates of the Distance to the Set of Divergence Free Fields and Applications to Quantitative Analysis of Incompressible Fluids

**distance-dependent delay**- 24/2010 - Synchronous solutions and their stability in nonlocally coupled phase oscillators with propagation delays

**Distillability**- 67/2013 - Entanglement Detection and Distillation for Arbitrary Bipartite Systems

**distillation**- 1/2011 - Bell Inequality, Separability and Entanglement Distillation

**distributed delay**- 6/2013 - The consensus problem in networks with transmission delays

**distributed delays****Distributed Representation**- 106/2014 - Discrete Restricted Boltzmann Machines

**distribution**- 32/2007 (
*Lecture note*) - Lectures on elliptic partial differential equations (Pseudodifferential operator approach)

- 32/2007 (
**distributional connections**- 105/2005 - Construction of Generalized Connections

**distributional jacobian**- 1/1998 - An isoperimetric estimate and W
^{1,p}-quasiconvexity in nonlinear elasticity

- 1/1998 - An isoperimetric estimate and W
**DMRG**- 59/2013 - Computation of extreme eigenvalues in higher dimensions using block tensor train format
- 36/2013 - Alternating minimal energy methods for linear systems in higher dimensions. Part II: Faster algorithm and application to nonsymmetric systems
- 10/2013 - Alternating minimal energy methods for linear systems in higher dimensions. Part I: SPD systems
- 80/2011 - Fast solution of multi-dimensional parabolic problems in the TT/QTT-format with initial application to the Fokker-Planck equation
- 19/2011 - Solution of linear systems and matrix inversion in the TT-format
- 69/2010 - DMRG+QTT approach to computation of the ground state for the molecular Schr\"odinger operator

**DMRG/ALS**- 19/2012 - Two-level Tucker-TT-QTT format for optimized tensor calculus

**domain coarsening**- 8/2007 - Selection of asymptotic states through screening induced fluctuations in Ostwald ripening

**domain decomposition**- 61/2006 - Hierarchical Matrix Techniques for a Domain Decomposition Algorithm
- 115/2005 - Parallel Black Box Domain Decomposition Based -LU Preconditioning
- 25/2004 - Direct Schur complement method by domain decomposition based on -matrix approximation
- 23/2002 - Direct Domain Decomposition using the Hierarchical Matrix Technique
- 18/2001 - -Matrix approximation for elliptic solution operators in cylindric domains

**domain patterns**- 77/2001 - Low energy domain patterns in soft ferromagnetic films

**domain structures**- 9/1999 - Material instabilities in nematic elastomers

**domain walls**- 33/2012 - A reduced model for domain walls in soft ferromagnetic films at the cross-over from symmetric to asymmetric wall types.

**domains of fractional powers**- 12/2009 - Nonstationary Stokes System with Variable Viscosity in Bounded and Unbounded Domains

**dominating set**- 52/2013 - On the spectrum of the normalized Laplacian for signed graphs: Interlacing, contraction, and replication

**Dorsal raphe nucleus****dot product kernels**- 155/2006 - Power Series Kernels

**Double J-C model**- 28/2013 - Dynamics of quantum correlations for atoms in independent single-mode cavity

**double layer**- 1/2008 - Towards understanding the structure and capacitance of electrical double layer in ionic liquids

**double scaling limits**- 57/2007 - Numerical study of a multiscale expansion of the Korteweg de Vries equation

**double-well potential**- 34/2001 - A Gamma-convergence result for the two-gradient theory of phase transitions

**drift-diffusion limit****droplet formation**- 110/2002 - Critical region for droplet formation in the two-dimensional Ising model

**dual**- 76/2011 - Duality of non-exposed faces

**dual functions**- 91/2006 - Dual Functions for a Parallel Adaptive Method

**Dual problem**- 63/2009 - A Posteriori Error Estimates for the Coupling Equations of Scalar Conservation Laws

**dualities**- 86/2002 - Duality symmetry of the p-form effective action and super trace of the twisted de Rham complex

**duality****dumbbell model**- 80/2011 - Fast solution of multi-dimensional parabolic problems in the TT/QTT-format with initial application to the Fokker-Planck equation

**Dunford Cauchy**- 52/2007 - Numerical computation of inner eigenvalues using the Dunford Cauchy integral

**dynamic fracture**- 19/2002 - On the dynamics of cracks in three dimensions

**Dynamic Programming**- 105/2014 - A Generic Algorithmic Framework to Solve Special Versions of the Set Partitioning Problem

**dynamic scaling**- 62/2003 - Approach to self-similarity in Smoluchowski's coagulation equations

**dynamical network****dynamical patterns**- 110/2013 - Patterns from bifurcations: A symmetry analysis of networks with delayed coupling

**dynamical problems**- 108/2014 - Tensor Numerical Methods for Multidimensional PDEs: Theoretical Analysis and Initial Applications

**dynamical stability**- 26/2007 - Dynamic stability of martensite twins under regular kinetics

**Dynamical Systems**- 35/2012 - Effects of bounded random perturbations on discrete dynamical systems

**dynamics**- 26/2001 - Dynamic approximation of spatio-temporal receptive fields in nonlinear neural field models