• 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
  • 134/2006 - Cylindrical KP revisited
• 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 - C^1,1 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
  • 106/2005 - Full field algebras
• 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 L^p-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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