- F12 method
- 68/2011 - Bridging the gap between quantum Monte Carlo and F12-methods
- Faá di Bruno polynomial
- 87/2007 - Ramanujan Eisenstein Series, Fa\'a di Bruno Polynomials and Integrable Systems
- Face Recognition
- 8/2010 - The Early Time Course of Compensatory Face Processing in Congenital Prosopagnosia
- factoring
- 58/2014 - Maximizing the divergence from a hierarchical model of quantum states
- fast algorithms
- 54/1999 -
-matrix approximation on graded meshes - 22/1999 - A sparse
-Matrix Arithmetic, Part II: Application to Multi-Dimensional Problems
- fast Fourier transform
- 12/2017 - Block circulant and Toeplitz structures in the linearized Hartree-Fock equation on finite lattices: tensor approach
- fast matrix operations
- 71/2003 - Panel Clustering Techniques and Hierarchical Matrices for BEM and FEM
- fast matrix-vector multiplication
- 82/2002 - Approximation of Integral Operators by Variable-Order Interpolation
- 86/2001 - Data-sparse approximation by adaptive
-Matrices - 50/1999 - On H2-Matrices
- fast multipole method
- 13/2014 - Hierarchical matrices and the High-Frequency Fast Multipole Method for the Helmholtz Equation with Decay
- fast solvers
- 28/2004 - Hierarchical LU decomposition based preconditioners for BEM
- 103/2002 - Construction and Arithmetics of
-Matrices - 18/2002 - Introduction to Hierarchical Matrices with Applications
- 106/2001 - Adaptive refinement and clustering of
-matrices - 105/2001 - An introduction to hierarchical matrices
- 66/1999 - A sparse
-matrix arithmetic: general complexity estimates
- fast wavelet transform
- 103/2013 - Superfast Wavelet Transform Using QTT Approximation. I: Haar Wavelets
- fattening
- 70/2000 - A stochastic selection principle in case of fattening for curvature flow
- Fa\'a di Bruno polynomial
- 49/2008 - Riccati Chain, Ramanujan's Differential Equations For Eisenstein Series and Chazy Flows
- Feature Selection
- 42/2012 - Adaptive sequential feature selection for pattern classification
- feedback
- 32/2007 - Delayed feedback control near Hopf bifurcation
- feedforward networks
- 35/1999 - Hyperplane arrangements separating arbitrary vertex classes in n-cubes
- feller process
- 42/1997 - Function spaces as path spaces of Feller processes
- 41/1997 - Conservativeness and extensions of Feller semigroups
- feller semigroup
- 41/1997 - Conservativeness and extensions of Feller semigroups
- fem
- 55/2009 - O(dlog N)-Quantics Approximation of N-d Tensors in High-Dimensional Numerical Modeling
- 72/2003 - Multi-Grid Methods for FEM and BEM Applications
- 86/2001 - Data-sparse approximation by adaptive
-Matrices - 66/1999 - A sparse
-matrix arithmetic: general complexity estimates - 54/1999 -
-matrix approximation on graded meshes - 50/1999 - On H2-Matrices
- 22/1999 - A sparse
-Matrix Arithmetic, Part II: Application to Multi-Dimensional Problems
- FEM/BEM
- 21/2010 - Tensors-structured Numerical Methods in Scientific Computing: Survey on Recent Advances
- fermionic mass operator
- 24/2005 - Gauge Theories of Dirac Type
- Fermionic projector
- 7/2014 - Perturbative description of the fermionic projector: normalization, causality and Furry's theorem
- ferromagnetism
- 25/2003 - Boundary vortices for thin ferromagnetic films
- 6/2003 - Ginzburg-Landau vortices for thin ferromagnetic films
- 40/1999 - Weierstrass-type maximum principle for microstructure in micromagnetics
- Feynman Diagrams
- 12/2012 - Bosonic Loop Diagrams as Perturbative Solutions of the Classical Field Equations in ϕ4 Theory
- Feynman-Kac formula
- 114/2006 - Asymptotic Feynman-Kac Formulae for Large Symmetrised Systems of Random walks
- FFT
- 18/2011 - Superfast Fourier transform using QTT approximation
- Fibre-Crosses
- 60/2008 - Black Box Low Tensor Rank Approximation using Fibre-Crosses
- Fidelity
- 17/2009 - On Estimation of Fully Entangled Fraction
- field
- 112/2007 - Arithmetic and Polynomials over Fuzzy Rings
- Field theories
- 45/2009 - Geometric Topology and Field Theory on 3-Manifolds
- field theory
- 31/2006 (Lecture note) - Topics in Physical Mathematics: Geometric Topology and Field Theory
- Filtered hyperinterpolation
- 79/2020 - Distributed Learning via Filtered Hyperinterpolation on Manifolds
- filtration
- 75/2020 - Confounding Ghost Channels and Causality: A New Approach to Causal Information Flows
- Finite characteristic
- 145/2006 - Decompositions of the tensor products of irreducible 𝔰𝔩(2)-modules in characteristic 3
- finite degenerate elliptic operators
- 87/2013 - Lower bounds of Dirichlet eigenvalues for degenerate elliptic operators and degenerate Schrödinger operators
- finite elastoplasticity
- 72/2000 - Nonconvex potentials and microstructures in finite-strain plasticity
- finite element
- 4/2003 - The numerical solution of the Plateau problem for minimal surfaces of higher topological type. \\ Part I: Annulus type surfaces
- finite element discretisation
- 59/2012 - Partial evaluation of the discrete solution of elliptic boundary value problems
- finite element method
- 95/2007 - A highly accurate full subtraction approach for dipole modelling in EEG source analysis using the finite element method
- 117/2005 - Nonconforming box-schemes for elliptic problems on rectangular grids
- 90/2003 - Efficient Computation of Lead Field Bases and Influence Matrix for the FEM-based EEG and MEG Inverse Problem. Part I: Complexity Considerations
- finite element methods
- 6/2006 (Technical report) - Two Dangers to Avoid When Using Gradient Recovery Methods for Finite Element Error Estimation and Adaptivity
- 63/2009 - A Posteriori Error Estimates for the Coupling Equations of Scalar Conservation Laws
- 18/2007 - On Estimators for Eigenvalue/Eigenvector Approximations
- finite elements
- 11/2011 (Technical report) - Fast MATLAB assembly of FEM matrices in 2D and 3D: nodal elements
- 12/2011 - Low-rank Tensor Structure of Solutions to Elliptic Problems with Jumping Coefficients
- 55/2010 - Tensor Structured Iterative Solution of Elliptic Problems with Jumping Coefficients
- 38/2010 - An efficient, reliable and robust error estimator for elliptic problems in ℝ3
- 25/2006 - Fixing a ''Bug'' in Recovery-Type A Posteriori Error Estimators
- 113/2005 - Function, Gradient and Hessian Recovery Using Quadratic Edge-Bump Functions
- 69/2005 - Asymptotically Exact Functional Error Estimators Based on Superconvergent Gradient Recovery
- 102/2002 - Finite elements on degenerate meshes: inverse-type inequalities and applications
- 37/2002 - Lower bounds for the two well problem with surface energy I:
Reduction to finite elements - 60/2001 - Time-space discretization of the nonlinear hyperbolic system

- 40/2001 - Soft elastic response of stretched sheets of nematic elastomers: a numerical study
- Finite Fourier Series
- 72/2007 - Spectral geometry, homogeneous spaces, and differential forms with finite Fourier series
- 116/2006 - The spectral geometry of the canonical Riemannian submersion of a compact Lie Group
- finite p-groups
- 96/2020 - On the Modular Isomorphism Problem for groups of class 3
- finite Prandtl number
- 116/2014 - Upper bounds on Nusselt number at finite Prandtl number
- finite state automata
- 10/2003 - Why verb-initial languages are not frequent
- finite strain
- 10/2005 - Lower semi-continuity and existence of minimizers in incremental finite-strain elastoplasticity
- finite temperature
- 55/2002 - Elliptic functions and temperature inversion symmetry on spheres
- finite volume method
- 117/2005 - Nonconforming box-schemes for elliptic problems on rectangular grids
- finite-gap solutions
- Finsler manifold
- 18/2014 - Local gradient estimate for harmonic functions on Finsler manifolds
- finsler metric
- 6/2005 - From 1-homogeneous supremal functionals to difference quotients: relaxation and Γ-convergence
- first boundary value problem
- 28/2002 - First boundary value problem for the diffusion equation.
I.Iterated logarithm test for the boundary regularity and solvability.
- first incompleteness theorem
- 73/2018 - Curious properties of hypergraph C*-algebras
- first integral
- 51/2008 - Solutions of some second order ODEs by the extended Prelle-Singer method and symmetrics
- first integrals
- 41/2009 - On Generalized Sundman Transformation Method, First Integrals and Solutions of Painlev\'e-Gambier Type Equations
- First variation
- 61/2016 - Rectifiability of varifolds with locally bounded first variation with respect to anisotropic surface energies
- first-order phase transition
- 97/2006 - Multiple critical behavior of probabilistic limit theorems in the neighborhood of a tricritical point
- Fisher information metric
- 87/2014 - On the Fisher Metric of Conditional Probability Polytopes
- Fisher quadratic form
- 69/2015 - Parametrized measure models
- Fisher-Rao metric
- 59/2020 - On the Locality of the Natural Gradient for Deep Learning
- Fitness landscape
- 65/2009 - Combinatorial Vector Fields and the Valley Structure of Fitness Landscapes
- FitzHugh-Nagumo model
- 45/2018 - Stochastic FitzHugh-Nagumo neuron model in excitable regime embeds a leaky integrate-and-fire model
- fix point arguments
- 34/2007 - Mass-Selection in Alignment Models with Non-Deterministic Effects
- fixed point
- 55/2014 - The asymptotic behavior of a class of nonlinear semigroups in Hadamard spaces
- fkat G-chains
- 58/2013 - The Steiner tree problem revisited through rectifiable G-currents
- flabby objects
- 95/2018 - Flabby and injective objects in toposes
- flag matroids
- 93/2018 - Flag matroids: algebra and geometry
- flat connection
- 10/2008 - Witten's Volume Formula, Cohomological Pairings of Moduli Space of Flat Connections and Applications of Multiple Zeta Functions
- flat connections
- 63/1999 - Special complex manifolds
- flat G-chains
- 76/2014 - An optimal irrigation network with infinitely many branching points
- flat norm
- 15/2003 - On the Γ-Convergence of Discrete Dynamics and Variational Integrators
- flat normal bundle
- 81/2004 - Bernstein type theorems with flat normal bundle
- flat structures
- 8/2002 - Affine diffeomorphisms of translation surfaces: Periodic points, Fuchsian groups, and arithmeticity
- Fleming's semigroup
- 42/2013 (Lecture note) - Large Deviations for Stochastic Processes
- floating bodies
- 73/2009 - Floating criteria in three dimensions
- 75/2008 - Floating and sinking of needles, nails and disks
- 104/2007 - Criteria for Floating I
- floating criteria
- 99/2007 - Floating bodies in neutral equilibrium
- 97/2007 - Floating Bodies Subject To Capillary Attractions
- floating objects
- 96/2013 - Attractions and Repulsions of Parallel Plates Partially Immersed in a Liquid Bath: III
- Floer homology
- 76/2010 - On product structures in Floer homology of cotangent bundles
- 6/2010 - String, dilaton and divisor equation in symplectic field theory
- 31/2009 - Estimates and computations in Rabinowitz-Floer homology
- flow carring a cocycle
- 99/2003 - Conley Index Theory and Novikov-Morse Theory
- Flow in tubes
- 75/2009 - Occlusion in fluid conducting tubes transverse to a gravity field (new expanded version)
- fluctuations
- 57/2020 - The annealed Calderon-Zygmund estimate as convenient tool in quantitative stochastic homogenization
- 9/2005 - Self-tuning to the Hopf bifurcation in fluctuating systems
- fluctuations of large particles
- 8/2007 - Selection of asymptotic states through screening induced fluctuations in Ostwald ripening
- fluid dynamics
- 67/1998 - Phase transition in the passive scalar advection
- fluid-solid interaction
- 56/2008 - A Non-Self-Adjoint Quadratic Eigenvalue Problem Describing a Fluid-Solid Interaction. Part II: Analysis of Convergence
- 55/2008 - A Non-Self-Adjoint Quadratic Eigenvalue Problem Describing a Fluid-Solid Interaction. Part I: Formulation, Analysis, and Computations
- Flux balance analysis
- 74/2010 - Randomizing genome-scale metabolic networks
- 20/2009 - Conservation of high-flux backbone in alternate optimal and near-optimal flux distributions of metabolic networks
- Flux plasticity
- 20/2009 - Conservation of high-flux backbone in alternate optimal and near-optimal flux distributions of metabolic networks
- Flux variability analysis
- 20/2009 - Conservation of high-flux backbone in alternate optimal and near-optimal flux distributions of metabolic networks
- Fock operator
- 62/2014 - Tensor Approach to Linearized Hartree-Fock Equation for Lattice-type and Periodic Systems
- 90/2013 - Black-Box Hartree-Fock Solver by the Tensor Numerical Methods
- 4/2012 - Fast and Accurate 3D Tensor Calculation of the Fock Operator in a General Basis
- fokker-planck equation
- 58/2016 - Ergodicity of scalar stochastic differential equations with Hoelder continuous coeffcients
- 5/2013 - Stationary states in infinite networks of spiking oscillators with noise
- 80/2011 - Fast solution of multi-dimensional parabolic problems in the TT/QTT-format with initial application to the Fokker-Planck equation
- 9/2005 - Self-tuning to the Hopf bifurcation in fluctuating systems
- föppl von karman theory
- 33/2002 - The Föppl-von Kármán plate theory as a low energy Gamma limit of nonlinear elasticity
- Forman curvature
- 67/2016 - Systematic evaluation of a new combinatorial curvature for complex networks
- 30/2016 - Forman-Ricci flow for change detection in large dynamic data sets
- 21/2016 - Forman curvature for complex networks
- Forman-Ricci Curvature
- 56/2016 - Characterizing Complex Networks with Forman-Ricci Curvature and Associated Geometric Flows
- formatted matrix operations
- 47/2004 -
2-matrix arithmetics in linear complexity - 103/2002 - Construction and Arithmetics of
-Matrices - 18/2002 - Introduction to Hierarchical Matrices with Applications
- 106/2001 - Adaptive refinement and clustering of
-matrices - 105/2001 - An introduction to hierarchical matrices
- 66/1999 - A sparse
-matrix arithmetic: general complexity estimates
- forward Kolmogorov equation
- 61/2014 - A hierarchical extension scheme for solutions of the Wright–Fisher model
- Fourier transform
- 32/2007 (Lecture note) - Lectures on elliptic partial differential equations (Pseudodifferential operator approach)
- 62/2014 - Tensor Approach to Linearized Hartree-Fock Equation for Lattice-type and Periodic Systems
- 45/2011 - QTT-rank-one vectors with QTT-rank-one and full-rank Fourier images
- 18/2011 - Superfast Fourier transform using QTT approximation
- fourth order
- 52/2003 - On the geometric flows of Kirchhoff elastic rods
- fourth-order equations
- 77/2014 - Well-Posedness and Self-Similar Asymptotics for a Thin-Film Equation
- fourth-order flow
- 54/2012 - L2-flow of elastic curves with knot points and clamped ends
- fractal
- 100/2005 - Brownian motion of fractal particles: L\'evy flights from white noise
- Fractal Dimension
- 114/2013 - The Scaling of Several Public Transport Networks in China
- fractals
- 11/2005 - Eigenfrequencies of fractal drums
- fractional calculus
- 4/2010 - A CAS Wavelet Method for Solving Nonlinear Fredholm Integro- Differential Equations of Fractional Order
- 80/2009 - An Operational Haar Wavelet Method for Solving Fractional Volterra Integral Equations.
- 100/2005 - Brownian motion of fractal particles: L\'evy flights from white noise
- Fractional elliptic operator
- 81/2018 - Tensor approach to optimal control problems with fractional d-dimensional elliptic operator in constraints
- Fractional Sobolev Space
- 82/2013 - A note on zero sets of fractional sobolev functions with negative power of integrability
- Frechet mean
- 16/2013 - Computing medians and means in Hadamard spaces
- fréchet topology
- 68/1998 - On transitions to stationary states in 1D nonlinear wave equations
- Fredholm integro- differential equation
- 4/2010 - A CAS Wavelet Method for Solving Nonlinear Fredholm Integro- Differential Equations of Fractional Order
- Fredholm theory
- 13/2010 - Transversality problems in symplectic field theory and a new Fredholm theory
- free boundary
- 71/2017 - Asymptotic analysis and qualitative behavior at the free boundary for Sacks-Uhlenbeck α-harmonic maps
- 26/2016 - The qualitative behavior at the free boundary for approximate harmonic maps from surfaces
- Free Boundary Evolution
- 85/2008 - A sharp interface model for the propagation of martensitic phase boundaries
- free boundary problem
- 22/2013 - A classical Perron method for existence of smooth solutions to boundary value and obstacle problems for degenerate-elliptic operators via holomorphic maps
- 31/2012 - C1,1 regularity for degenerate elliptic obstacle problems in mathematical finance
- 51/2002 - On a nonlinear elliptic equation arising in a free boundary problem
- free boundary problems
- 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
- 71/2008 - Existence of weak solutions for a non-classical sharp interface model for a two-phase flow of viscous, incompressible fluids
- 52/2006 - Convexity of the free boundary for an exterior free boundary problem involving the perimeter
- 41/2006 - On the Non-Tangential Touch Between the Free and Fixed Boundaries for the Two-Phase Obstacle-Like Problem
- 35/2004 - On the tangential touch between the free and the fixed boundaries for the two-phase obstacle-like problem
- 32/2000 - Variational formulation for the lubrication approximation of the Hele-Shaw flow
- 31/1998 - On a volume constrained variational problem
- free boundary value problems
- 19/2009 - Non-homogeneous Navier-Stokes systems with order-parameter dependent stresses
- 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
- 117/2006 - On the Notion of Generalized Solutions of Viscous Incompressible Two-Phase Flows
- 120/2005 - On Generalized Solutions of Two-Phase Flows for Viscous Incompressible Fluids
- 94/2004 - On the Competition of Elastic Energy and Surface Energy in Discrete Numerical Schemes
- free discontinuity problems
- 98/2005 - Crack initiation in elastic bodies
- free energy functional
- 64/1998 - On a conjecture of Wolansky
- free films
- 38/2012 - Coarsening rates for the dynamics of slipping droplets
- free group
- 12/2014 - Shadowing for actions of some finitely generated groups.
- friction boundary condtions
- 13/2011 - Functional a posteriori error estimates for elastic problems with nonlinear boundary conditions
- Frobenius manifold
- 3/2021 - Frobenius Statistical manifolds, Geometric invariants & Hidden symmetries
- fronts
- 21/2005 - Large Convection Limits for KPP Fronts
- frozen Lie-Poisson structure
- 50/2008 - Geodesic Flow on Extended Bott-Virasoro Group and Generalized Two Component Peakon Type Dual Systems
- FST
- 28/2016 - The Equidistance Index of Population Structure
- Fuchsian groups
- 35/2007 (Lecture note) - Equivariant Plateau problems
- 86/2008 - Higher Bers Maps
- 17/2006 - Equivariant Plateau Problems
- Full entanglement
- 1/2007 - Entanglement conditions for multi-mode states
- full field algebra
- full matrices
- 86/2001 - Data-sparse approximation by adaptive
-Matrices - 50/1999 - On H2-Matrices
- full subtraction approach
- 95/2007 - A highly accurate full subtraction approach for dipole modelling in EEG source analysis using the finite element method
- fully nonlinear
- 14/2002 - Translating solutions for Gau\ss{} curvature flows with Neumann boundary condition
- fully nonlinear equation
- 15/2006 - An Analytic Approach to Purely Nonlocal Bellman Equations Arising in Models of Stochastic Control
- 43/2005 - Conformal deformations of the smallest eigenvalue of the Ricci tensor
- 96/2003 - Application of The Method of Moving Planes to Conformally Invariant Equations
- 82/2003 - Geometric inequalities on locally conformally flat manifolds
- 61/2003 - Schouten Tensor Equations in Conformal Geometry with Prescribed Boundary Metric
- function-circle
- 74/2015 - The Umwelt of an Embodied Agent - A Measure-Theoretic Definition
- functional calculus
- 79/2005 - Differentiable Lp-functional calculus for certain sums of non-commuting operators
- functional determinants
- 57/2003 - Functional determinants by contour integration methods
- functional integral
- 45/2010 - Self-consistent-field theory investigation of behavior of hyaluronic acid chains in aqueous salt solution
- functions of bounded variation
- 41/2002 - The perimeter inequality for Steiner symmetrization: cases of equality
- fundamental group
- 12/1999 - Covering group theory for topological groups
- fundamental set
- 49/2001 - Generalized lattices in topological vector spaces
- fuzzy ring
- 112/2007 - Arithmetic and Polynomials over Fuzzy Rings
- fuzzyring
- 113/2007 - Algebraic, Tropical, and Fuzzy Geometry
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