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The Scaling and Squaring Method for the Matrix Exponential Revisited50
Functions of Matrices42
SDELab: stochastic differential equations with MATLAB38
Computing $f(A)b$ for Matrix Functions $f$37
A Review on the Numerical Solution of the 1D Euler Equations29
A modified Cholesky algorithm based on a symmetric indefinite factorization28
LAPACK-Style Codes for Pivoted Cholesky and QR Updating27
PIFISS Potential (Incompressible) Flow & Iterative Solution Software guide26
On the Definition of Two Natural Classes of Scalar Product25
Accuracy and Stability of Numerical Algorithms24
Part 1: the reconstruction problem22
Iterative Solution of a Nonsymmetric Algebraic Riccati Equation21
Functions Preserving Matrix Groups and Iterations for the Matrix Square Root20
Model theory for algebra20
Codes for spread spectrum applications generated using chaotic dynamical systems20
The Generalized Singular Value Decomposition and the Method of Particular Solutions19
Scaling, Sensitivity and Stability in the Numerical Solution of Quadratic Eigenvalue Problems19
Reaction and Diffusion on the Sierpinski Gasket19
Scaling, Sensitivity and Stability in the Numerical Solution of Quadratic Eigenvalue Problems18
Stochastic Resonance in Vision: Models and Data18
IFISS: a Matlab toolbox for modelling incompressible flow18
A Schur-Newton Method for the Matrix p'th Root and its Inverse17
Efficient Algorithms for Computing the Condition Number of a Tridiagonal Matrix17
Efficient order selection algorithms for integer valued ARMA processes17
Symmetric Linearizations for Matrix Polynomials16
A Schur--Parlett Algorithm for Computing Matrix Functions16
Review of ``Spectra and Pseudospectra: The Behavior of Nonnormal Matrices and Operators'', by Lloyd N. Trefethen and Mark Embree. Princeton University Press, Princeton, NJ, USA, 2005.16
The Sensitivity of Computational Control Problems16
Recent Developments in Dense Numerical Linear Algebra15
The Polynomial Eigenvalue Problem15
Numerical Modelling of Eulerian Two-Phase Gas-Solid Flow15
Structured Linearizations for Matrix Polynomials15
Structured Eigenvalue Condition Numbers15
Efficient Algorithms for the Matrix Cosine and Sine15
Computed eigenmodes of planar regions15
The Zariski spectrum of the category of finitely presented modules15
Computing the Polar Decomposition---with Applications15
Viscous linear stability analysis of rectangular duct and cavity flows14
Iterative Solution of a Nonsymmetric Algebraic Riccati Equation14
The Small World Network Structure of Boards of Directors14
Algorithms for Cholesky and QR Factorizations, and the Semidefinite Generalized Eigenvalue Problem14
A Survey of Componentwise Perturbation Theory14
Recent developments in the asymptotic theory of separated flows. Leverhulme lectures - lecture notes.14
Computing the Nearest Correlation Matrix---A Problem from Finance13
An Iterative Method for Electrostatic Object Reconstruction in a Half Space13
The Conditioning of Linearizations of Matrix Polynomials13
Computing the Polar Decomposition and the Matrix Sign Decomposition in Matrix Groups13
Model theory and modules13
An Introduction to the Quality of Computed Solutions13
Functions of Matrices12
Analysis of the inverse problem for determining nematic liquid crystal director profiles from optical measurements using singular value decomposition.12
Singular value decomposition of multi-companion matrices12
Efficient preconditioning of the linearized Navier-Stokes equations for incompressible flow12
Fast polar decomposition of an arbitrary matrix12
Structured backward error and condition of generalized eigenvalue problems12
Backward Error of Polynomial Eigenproblems Solved by Linearization12
Tomographic reconstruction of stress from photoelastic measurements using elastic regularization.12
The quadratic eigenvalue problem12
Reconstructing projective schemes from Serre subcategories10
Computing the Geodesic Interpolating Spline10
Structured pseudospectra for polynomial eigenvalue problems, with applications10
Large growth factors in Gaussian elimination with pivoting10
Experience with a Matrix Norm Estimator10
The Weak Euler Scheme for Stochastic Differential Delay Equations10
Adaptive time-stepping for incompressible flow. Part I: scalar advection-diffusion10
Geometric Mechanics and Symmetry: The Peyresq Lectures10
A three-phase mixture theory for particle size segregation in shallow granular free-surface flows10
Solving a quadratic matrix equation by Newton's method with exact line searches10
Multivariate Non-Linear Regression with Applications: A Frequency Domain Approach9
Topics in Information Geometry9
A Survey of Condition Number Estimation for Triangular Matrices9
Backward Error of Polynomial Eigenproblems Solved by Linearization9
An Interview with Peter Lancaster9
Structured Eigenvalue Condition Numbers9
Model theory of comodules9
A Study of the Matrix Exponential9
A block algorithm for matrix 1-norm estimation, with an application to 1-norm pseudospectra9
Classifying thick subcategories of perfect complexes9
$J$-Orthogonal Matrices: Properties and Generation9
Numerical Solution of the Equations Governing 2D Eulerian Gas-Solid Two-Phase Flow8
Hyperbolicity of the invariant set for the logistic map with $\mu > 4$8
Structured Condition Numbers and Backward Errors in Scalar Product Spaces8
Bounding the error in Gaussian elimination for tridiagonal systems8
Ownership and Control: A Small-World Analysis8
Stability analysis of algorithms for solving confluent Vandermonde-like systems8
Symmetric Hamiltonian Bifurcations8
Embedding Nonlinear Dynamical Systems: A Guide to Takens' Theorem8
Quantum mushroom billiards8
Stability of a method for multiplying complex matrices with three real matrix multiplications8
Structured Polynomial Eigenvalue Problems: Good Vibrations from Good Linearizations8
Universal connection and curvature for statistical manifold geometry7
On the Spectral Density Estimation of Periodically Correlated (Cyclostationary) Time Series7
Post processing for stochastic parabolic partial differential equations7
Palindromic Polynomial Eigenvalue Problems: Good Vibrations from Good Linearizations7
Testing Nonstationary Time Series for Gaussianity and Linearity using the Evolutionary Bispectrum: An application to Internet Traffic Data7
THE EQUATION [x,u]+[y,v]=0 IN FREE LIE ALGEBRAS7
Review of Bridges from Classical to Nonmonotonic Logic by David Makinson7
Asymptotic matching constraints for a boundary-layer flow of a power-law fluid7
A signalizer functor theorem for groups of finite Morley rank7
Parameter-free H(div) preconditioning for mixed finite element formulation of diffusion problems7
Properties of Option Prices in a Jump Diffusion Model7
On the ratio X/Y for some elliptically symmetric distributions7
Ranking the Importance of Boards of Directors7
The Russian option: Finite horizon7
Improving the forward solver for the complete electrode model in EIT using algebraic multigrid7
Structured Mapping Problems for Matrices Associated with Scalar Products Part I: Lie and Jordan Algebras7
Instabilities in supersonic compression ramp flow7
Coupled thermoelasticity in a composite half-space7
Bifurcation and forced symmetry breaking in Hamiltonian systems7
Electromagnetic inverse problems for nematic liquid crystals and capacitance imaging7
How chaotic are strange nonchaotic attractors?7
A Jacobi-Davidson type projection method for nonlinear eigenvalue problems6
Spin-up of a two-layer rotating stratified fluid in a variable depth container6
Reviving the Method of Particular Solutions6
Growth Curve Models and Statistical Diagnostics6
Model-theoretic imaginaries and coherent sheaves6
Classifying projective modules over some semilocal rings6
Rings of definable scalars of Verma modules6
Symmetric Linearizations for Matrix Polynomials6
A GSVD formulation of a domain decomposition method for planar eigenvalue problems6
Longitudinal and Cross-Sectional Analysis of Cytotoxic T Lymphocyte (CTL) Responses and their Relationship to Vertical HIV Transmission6
Black-Box Preconditioning for Self-Adjoint Elliptic PDEs6
Least squares preconditioners for stabilized discretizations of the Navier-Stokes equations6
Graded Manifolds and Drinfeld Doubles for Lie Bialgebroids6
Routes to Chaos6
Optimal Preconditioning for Raviart-Thomas Mixed Formulation of Second-Order Elliptic Problems6
Computations of Eigenvalue Avoidance in Planar Domains6
Geometric methods for anisotopic inverse boundary value problems.6
Functions Preserving Matrix Groups and Iterations for the Matrix Square Root6
A NON-CLASSICAL APPROACH TO MAXIMUM ENTROPY IN UNCERTAIN REASONING6
Optimal Preconditioning for Mixed Finite Element Formulation of Second-Order Elliptic Problems6
Iterated Function System Models of Digital Channels6
Infinite dimensional second order differential equations via $T^2M$6
Statistical Analysis and Time Series Models for Minimum/Maximum Temperatures in the Antarctic Peninsula5
Complex structure on the smooth dual of GL(n)5
Persistence and stability of relative equilibria5
Homoclinic Snaking near a Heteroclinic Cycle in Reversible Systems5
The problem of differentiation of an Abelian function over its parameters5
Numerical solution of the Navier-Stokes equations for the flow in a cylinder cascade5
Local-global principle for the Baum-Connes conjecture with coefficients5
A Black-Box Multigrid Preconditioner for the Biharmonic Equation5
Topics in Matrix Computations: Stability and Efficiency of Algorithms5
A Schur-Newton Method for the Matrix p'th Root and its Inverse5
Structured Linearizations for Matrix Polynomials5
The Effects of State Dependent and State Independent Probabilistic Updating on Boolean Network Dynamics5
Two-heteroclinic orbits emerging in the reversible homoclinic pitchfork bifurcation5
Serial Rings5
THE MAXIMAL 2-LOCAL GEOMETRY FOR J4, I5
Improved error bounds for underdetermined system solvers5
Stochastic and Deterministic Analysis of SIS Household Epidemics5
Shock wave interaction with viscous wake in supersonic flow5
Tangential structures on toric manifolds, and connected sums of polytopes5
Acceleration bundles on Banach and Frechet manifolds5
Granular flow in partially filled slowly rotating drums5
Mutual information and capacity of a linear digital channel5
Universal connection and curvature for statistical manifold geometry5
Nonlinear thoughts about linear signal processing5
A new bound for the smallest x with \pi(x) > \li(x)4
On the Value of Optimal Stopping Games4
Set-theoretical solutions to the Yang-Baxter Relation from factorization of matrix polynomials and theta functions4
Backward Stochastic Partial Differential Equations with Jumps and Application to Optimal Control of Random Jump Fields4
Coxeter Matroids4
The relation between local and global dual pairs4
Hénon map4
Cross-Subtype T-Cell Immune Responses Induced by a Human Immunodeficiency Virus Type 1 Group M Consensus Env Immunogen4
Krichever-Novikov continuous basis for plane algebraic curves4
Vector Spaces of Linearizations for Matrix Polynomials4
Fourier analysis of stabilised Q1-Q1 mixed finite element approximation4
The embedding problem for probabilities on locally compact groups4
Optimization by direct search in matrix computations4
Microarray Data Analysis Using Probabilistic Methods4
Variations on a theme of Timmesfeld: a finite group-theoretic analogue of the classification of groups of finite Morley rank and even type4
Rationality as conformity4
Eye movement instabilities and nystagmus can be predicted by a nonlinear dynamics model of the saccadic system4
Invariant Manifolds and Sets4
Localised Bombieri-Vinogradov theorems in imaginary quadratic fields4
Modelling of congenital nystagmus waveforms produced by saccadic system abnormalities4
A short review on Landsberg spaces4
The Hooley-Huxley contour method for problems in number fields II: factorization and divisibility4
Finite presentation and purity in categories σ[M]4
The Hooley-Huxley contour method for problems in number fields I : arithmetic functions4
Solving the indefinite least squares problem by hyperbolic QR factorization4
Symplectic integrators and optimal control4
A theory for particle size segregation in shallow granular free-surface flows4
Integrable matrix equations related to pairs of compatible associative algebras4
Approximating the logarithm of a matrix to specified accuracy4
A Note on Weak and Strong Linearizations of Regular Matrix Polynomials4
Openness of momentum maps and persistence of extremal relative equilibria3
Generation of anisotropic-smoothness regularization filters for EIT3
Stability of the diagonal pivoting method with partial pivoting3
THE MAXIMAL 2-LOCAL GEOMETRY FOR J4, III3
Optimal Scaling for Random walk Metropolis on spherically constrained target densities3
Vortex dynamics on cylinders3
Plancherel measure for GL(n,F) and GL(m,D): Explicit formulas and Bernstein decomposition3
Krull-Gabriel dimension of 1-domestic string algebras3
Stability of Relative Equilibria of Point Vortices on the Sphere3
Row-wise backward stable elimination methods for the equality constrained least squares problem3
Matrix powers in finite precision arithmetic3
Relative Equilibria of Molecules3
The Ariel Project: A prospective cohort study of maternal-child transmission of human immunodeficiency virus type 1 in the era of maternal antiretroviral therapy3
The Weak Euler Scheme for Stochastic Differential Delay Equations3
Three-dimensional free convection in molten gallium3
A continuum of inductive methods arising from a generalized principle of instantial relevance3
Bundles of acceleration on Banach manifolds3
Cache Efficient Bidiagonalization Using BLAS 2.5 Operators3
Computing the Condition Number of Tridiagonal and Diagonal-Plus-Semiseparable Matrices in Linear Time3
When maximising entropy gives the rational closure3
On the minmal parabolic system related to the monster simple group3
BASES, FILTRATIONS AND MODULE DECOMPOSITIONS OF FREE LIE ALGEBRAS3
Injective objects in triangulated categories3
Splitting for dissipative particle dynamics3
Triangulated categories and the Ziegler spectrum3
On Levy Processes Conditioned to Stay Positive3
The n-valued groups: results and prospectives3
Large Modelling Conditional Covariance in the Linear Mixed Model3
Torsion classes of finite type and spectra3
Neighbourhoods of independence and associated geometry3
Tomographic reconstruction of stress from photoelastic measurements using elastic regularization.3
Continua of states in boundary-layer flows3
Delay embedding in the presence of dynamical noise3
Stability of parallel triangular system solvers3
Multitype randomised Reed-Frost epidemics and epidemics upon random graphs3
Vector Spaces of Linearizations for Matrix Polynomials3
Classifying Serre subcategories of finitely presented modules3
A note on vertices of simple modules3
About a homoclinic pitchfork bifurcation in reversible systems with additional Z2-symmetry3
Granular Vacua3
Some model theory of sheaves of modules3
The Conditioning of Linearizations of Matrix Polynomials3
When gap solitons become embedded solitons: a generic unfolding3
Krylov subspace iterative techniques: on the detection of brain activity with electrical impedance tomography3
Colimits, Stanley-Reisner algebras, and loop spaces2
Structured Polynomial Eigenvalue Problems: Good Vibrations from Good Linearizations2
A stochastic model for competing growth on Rd2
Structured Mapping Problems for Matrices Associated with Scalar Products Part I: Lie and Jordan Algebras2
The unsteady Kàrmàn problem for a dilute particle suspension2
Stochastic bounds for Lévy processes2
Once again on the supersonic flow separation near a corner2
Model-Updating for Symmetric Quadratic Eigenvalue Problems2
One-sided indecomposable pure-injective modules over string algebras2
Rationality as conformity2
Milnor attractors and topological attractors of a piecewise linear map2
Standard tableaux and Klyachko's Theorem on Lie representations2
Ideals in mod-R and the ω-radical2
Isotropic Flow of Homeomorphisms on S^d with Respect to the Metric H^{(d+2)/2}2
Nonlinear magnetic diffusion and magnetic helicity transport in galactic dynamos2
On the scattering of baroclinic Rossby waves by a ridge in a continuoisly stratified ocean2
Using human immunodeficiency virus type 1 sequences to infer historical features of the acquired immune deficiency syndrome epidemic and human immunodeficiency virus evolution2
Model A-EE : An Eulerian Two-Phase Gas-Solid Model2
From finite to infinite dimensional dynamical systems2
A Functional Limit Theorem for Random Walk Conditioned to Stay Non-negative2
The accumulation of boundary doubling for modified tent maps2
The Generalized Singular Value Decomposition and the Method of Particular Solutions2
Iterative Solution of a Nonsymmetric Algebraic Riccati Equation2
The nonsmooth pitchfork bifurcation2
On transonic viscous-inviscid interaction2
Nonaxisymmetric magnetic field generation in rapidly rotating late-type stars2
Magnetohydrodynamic damping of convective flows in molten gallium2
Backward error and condition of structured linear systems2
Stochastic Evolution Equations Driven by Compensated Poisson Measures: Existence, Uniqueness and Large Deviation Estimates2
On Reflecting Brownian Motion with Drift2
Nonlinear time series analysis of jerk congenital nystagmus2
Shock waves, dead-zones and particle-free regions in rapid granular free surface flows2
Vertices for irreducible characters of a class of blocks2
A note on the geometry of linear Hamiltonian systems of signature 0 in R42
The Mathematics of Motion Camouflage2
Steady finite-Reynolds-number flows in three-dimensional collapsible tubes2
Bifurcation of a reversible Hamiltonian system from a fixed point with fourfold eigenvalue zero2
Time-dependent solutions for particle size segregation in shallow granular avalanches2
Interpretation, coordination and conformity2
Tridiagonal-diagonal reduction of symmetric indefinite pairs2
Recursive estimation and order determination of space-time autoregressive processes2
High-frequency self-excited oscillations in a collapsible-channel flow2
Level of repair analysis and minimum cost homomorphisms of graphs2
Torus Actions and their Applications in Topology and Combinatorics2
Phytoplankton biomass and residual nitrate in the pelagic ecosystem2
The Embedding Problem for Probabilities on Locally Compact Groups2
The Conjugacy Problem in Amalgamated Products I: Regular Elements and Black Holes1
Imperfect homoclinic bifurcations1
The problem of differentiation of an Abelian function over its parameters1
Isomorphism classes for Banach vector bundle structures of second tangents1
Group theoretic conditions for existence of robust relative homoclinic trajectories1
Bordism groups of immersions and classes represented by self-intersections1
A generalized second order frame bundle for Frechet manifolds1
Uniform decision problems for automatic semigrouos1
Directions and equidistribution in homology for periodic orbits1
Reduced C*-algebra of the p-adic group GL(n) II1
On Davis-Januszkiewicz homotopy types I; formality and rationalisation1
New relations in the algebra of the Baxter Q-operators1
Isomorphism classes for Banach vector bundle structures of second tangents1
On the onset of oscillatory convection in molten gallium1
Fractals1
Curve Crossing for the Reflected Process1
Bordism classes represented by multiple point manifolds of immersed manifolds1
Magnetohydrodynamic damping of oscillations in low-Prandtl-number convection1
Monodromy of certain Painlevé-VI transcendents and reflection groups1
The Hooley-Huxley contour method for problems in number fields III: Frobenian functions1
Equalisers of frames in constructive set theory1
Standard tableaux and Klyachko's Theorem on Lie representations1
Modelling Heterogeneous Covariances in the Growth Curve Models1
Symmetric Linearizations for Matrix Polynomials1
Embedding Theorems for Non-uniformly Sampled Dynamical Systems1
Definable additive categories: purity and model theory1
Conjugate connections and differential equations on infinite dimensional manifolds1
Almost Sure Relative Stability of the Overshoot of Power Law Boundaries1
Stability of the partitioned inverse method for parallel solution of sparse triangular systems1
Symplectic Amalgams1
Standard tableaux and Klyachko's Theorem on Lie representations1
Symmetric Linearizations for Matrix Polynomials1
Overshoots and undershoots of Lévy Processes1
Posets of matrices, and permutations with forbidden subsequences1
Golden gaskets: variations on the Sierpinski sieve1
Magnetic Fields in barred galaxies: II Dynamo models1
Analysis of a nonlinear dynamics model of the saccadic system1
Computing the Polar Decomposition and the Matrix Sign Decomposition in Matrix Groups1
THE MAXIMAL 2-LOCAL GEOMETRY FOR J4, II1
Accretion disc dynamos opened up by external magnetic fields1
Blocks with trivial intersection defect groups1
The Trap of Complacency in Predicting the Maximum1
The emergence of reasons conjecture1
Three-dimensional airway reopening: the steady propagation of a semi-indefinite bubble into a buckled elastic tube1
Homotopy Decompositions and K-theory of Bott Towers1
Global attractors of pinched skew products1
LAPACK-Style Codes for Pivoted Cholesky and QR Updating1
Circle actions on toric manifolds and their applications1
Higher Order Cumulants of Random Vectors and Applications to Statistical Inference and Time Series1
Rotation numbers for quasi-periodically forced monotone circle maps1