Keywords: 65C20; 65M55; 82D40; Micromagnetism; Landau-Lifschitz equations; Multiscale methods;
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Keywords: 65C20; 65N12; 65N25; 65N30; 74K25; Shells of revolution; Eigenvalue problems; Uncertainty quantification; Stochastic finite element methods;
Keywords: 65C05; 65C20; 65Z05; von Mises-Fisher distribution; Diffusion-advection equation; Survival probability; Random walk on spheres; Cathodoluminescence;
Keywords: Electricity markets; System dynamics; Dynamic systems; Growth rate of demand; 93C15; 91B26; 65C20; 37H20; 37N35;
Keywords: 35R60; 47B80; 60H35; 65C20; 65N12; 65N22; 65J10; Partial differential equations with random coefficients; Risk averse optimization; Phase field; Topology optimization; Conditional value at risk; Uncertainty quantification;
Keywords: 60H35; 65C20; 65L20; Stochastic differential equations with piecewise continuous arguments driven by Poisson random measure; The compensated split-step theta (CSST) method; Strongly convergent in pth moment; Exponential mean square stability;
Keywords: 60H10; 60H35; 65C20; 65C30; 65J15; 65L20; 92D99; Explicit numerical scheme; Semi-discrete method; Non-linear SDEs; Strong approximation error; Boundary preserving numerical algorithm; Wright-Fisher model;
Keywords: 41A10; 65C20; 65N30; Sedimentary basin modeling; Uncertainty Quantification; Random PDEs; Sparse grids; Stochastic collocation method;
A mesh free floating random walk method for solving diffusion imaging problems
Keywords: 65C05; 65C20; 65Z05; Green's function; Survival probability; Random walk; Cathodoluminescence; EBIC imaging;
Keywords: Fractional system; Haar wavelet numerical; Strange attractors; Chaotic multi-wing attractor; Convergence; 26A33; 65C20; 65L20; 26A36; 33F05;
Keywords: Recombined tree; Options pricing; Markov chain approximation; Stochastic volatility model; 91G60; 91G20; 65C20;
Keywords: 65N06; 65C20; 35C05; 35K20; Stochastic differential equations; Nonlinear partial differential equations; Paris' equation; Probability distribution of hitting time; Probability-based numerical method; Generalized exponential technique;
Keywords: 41A25; 65C50; 65C20; Regime-switching Black-Scholes; Discretization; Rate of convergence;
Keywords: 65C20; 65D30; 65D32; 65N12; 65N15; 65N21; Infinite-dimensional Bayesian inverse problems; Curse of dimensionality; Hessian-based adaptive sparse quadrature; Sparse grid; Gaussian prior; Dimension-independent convergence analysis;
Keywords: 45G10; 65R20; 68U20; 65C20; Bernstein polynomials; System of Volterra-Fredholm integral equations; Convergence analysis; Numerical algorithm; Gaussian quadrature;
Keywords: 65C20; 65L20; 60H35Stochastic delay differential equations; Mean square stability; Exponential stability; Theta method; Dissipativity
Keywords: 65D10; 65C20; 41A30; 41A58Thin plate splines; Fast evaluation; Exponential approximation
Keywords: 35R60; 47B80; 60H35; 65C20; 65N12; 65N22; 65J10; 65Y20; Partial differential equations with random coefficients; Parabolic differential equations; Uncertainty quantification; Stochastic finite element methods; Adaptive methods; Wavelets;
Kinematic optimization of a flapping foil power generator using a multi-fidelity evolutionary algorithm
Keywords: Flapping foil; Power generator; Optimization; 76D55; 65C20;
On the quasi-normal modes of a Schwarzschild white hole for the lower angular momentum and perturbation by non-local fractional operators
Keywords: Schwarzschild white hole; Quasi-normal mode; Fractional model with non-local operator; Atangana-Baleanu fractional derivative in Caputo sense; Numerical scheme; 26A33; 35Q85; 65C20; 97M50;
The truncated Milstein method for stochastic differential equations with commutative noise
Keywords: 65C20; Strong convergence rate; Non-linear stochastic differential equations with commutative noise; Truncated Milstein method; Non-global Lipschitz condition;
Two-dimensional shifted Legendre polynomials operational matrix method for solving the two-dimensional integral equations of fractional order
Keywords: Two-dimensional shifted Legendre polynomials; Two-dimensional fractional integral equations; Error estimate; Numerical algorithm; 45G10; 65R20; 68U20; 65C20;
Convergence analysis for GMsFEM approximation of elliptic eigenvalue problems
Keywords: 65N30; 65N15; 65C20; Eigenvalue elliptic problem; Generalized multiscale finite element method; High contrast coefficient;
H -adaptive RBF-FD method for the high-dimensional convection-diffusion equation
Keywords: Convection-diffusion equation; Meshless method; Radial basis function; H -adaptive method; Influence domain; Node refinement; 68U10; 68U20; 65C20;
Approximation solution of nonlinear Stratonovich Volterra integral equations by applying modification of hat functions
Keywords: 65C30; 65C20; 60H20; 60H35; 68U20Modification of hat functions; Nonlinear Stratonovich Volterra integral equation; Hyers–Ulam–Rassias stability; Operational matrix; Error analysis
A high-order discontinuous Galerkin method for Itô stochastic ordinary differential equations
Keywords: 60H10; 60H35; 65C20; 65C30; 65L20; 65L60Itô stochastic differential equation; Discontinuous Galerkin method; Wong–Zakai approximation; A-stability; Mean-square convergence; Order of convergence
Multi-Index Stochastic Collocation for random PDEs
Keywords: 41A10; 65C20; 65N30; 65N05; Uncertainty Quantification; Random PDEs; Sparse grids; Stochastic Collocation methods; Multilevel methods; Combination technique;
A hybrid method to evaluate pure endowment policies: Crédit Agricole and ERGO Index linked policies
Keywords: 65C20; 65C50; 93E24; Pure endowment policy; Option pricing; Survival probability; Mean reversion process; Nelson-Siegel model;
Stability of analytical and numerical solutions of nonlinear stochastic delay differential equations
Keywords: 34K50; 65C20; 65C30Nonlinear stochastic delay differential equation; Stability in mean square; Contractivity in mean square; Asymptotic contractivity in mean square; Backward Euler method
Towards a Modelling of USANSPOL Intensities from Magnetic Ribbons
Keywords: 61.05.fg; 61.05.fm; 03.75.Be; 25.40.Dn; 81.40.-z; 75.50.Kj; 75.60.Ch; 75.60.Ej 2010 MSC: 82D40; 65C20; USANSPOL; polarised neutrons; small-angle neutron scattering; amorphous magnets; magnetic ribbons;
Asymptotic stability of balanced methods for stochastic jump-diffusion differential equations
Keywords: 60H35; 65C20; 65L20Stochastic differential equation; Jump; Balanced method; Asymptotic stability
Almost sure convergence of numerical approximations for Piecewise Deterministic Markov Processes
Keywords: 60J75; 65C20; 65L99Piecewise Deterministic Markov Process; Stochastic simulation; Hybrid algorithm; Almost sure convergence
Exponential mean square stability of numerical methods for systems of stochastic differential equations
Keywords: 65C20; 65L20; 60H35Stochastic differential equations; Mean square stability; Exponential stability; Theta method; Poisson process
Delay-dependent stability analysis of numerical methods for stochastic delay differential equations
Keywords: 65C20; 60H35Stochastic delay differential equation; Theta method; Mean square stability; Delay-dependent stability; Numerical solution
Time discretization and quantization methods for optimal multiple switching problem
Keywords: 65C20; 65N50; 93E20Optimal switching; Quantization of random variables; Discrete-time approximation; Markov chains; Numerical probability
Homotopy method for solving ball-constrained variational inequalities
Keywords: 90C33; 90C30; 65C20; 65L05Variational inequality; Nonsmooth equation; Smoothing method; Homotopy method; Global convergence
A comparative linear mean-square stability analysis of Maruyama- and Milstein-type methods
Keywords: 60H10; 65C20; 65U05; 65L20Stochastic differential equations; Asymptotic mean-square stability; θ-Maruyama method; θ-Milstein method; Linear stability analysis
Numerical solutions of quantile hedging for guaranteed minimum death benefits under a regime-switching jump-diffusion formulation
Keywords: 91B30; 91B70; 65C20; 65C05; 60H35Quantile hedging; Variable annuities; GMDBs; Regime switching; Markov chain approximation
Sparsified Randomization algorithms for low rank approximations and applications to integral equations and inhomogeneous random field simulation
Keywords: 65C05; 65C20; 65Z05; Random Sparsification; Randomized low rank approximations; Randomization of iterative methods; Karhunen-Loéve expansion; Fractional Wiener process;
Simple recursive implementation of fast multipole method
Keywords: Micromagnetic simulation; Fast multipole method; Magnetostatic field07.05Tp; 75.40.Mg; 65C20
Optimal extended optical flow subject to a statistical constraint
Keywords: 65C20; 35F40; 35L85; 35R05; 62P10Viability; Transport equation; Set of nonconvex constraints; Tangency condition; Parzen approximation
Direct simulation of the infinitesimal dynamics of semi-discrete approximations for convection-diffusion-reaction problems
Keywords: 82.20.Wt; 87.10.Mn; 65C20; 68U20; 65M06; 65M20; 65M99; 60J75; Stochastic simulation; Markov jump processes; Diffusion; Convection; Moving cells;
A globally convergent interior point algorithm for non-convex nonlinear programming
Keywords: 90C33; 90C30; 65C20; 65L05Non-convex programming; Combined interior homotopy; Path following algorithm; Global convergence
Simplified order 4.0 weak Taylor schemes for additive noise
Keywords: 60H10; 65C20; 93E03Stochastic differential equations; Taylor scheme; Weak convergence; Stochastic numerical method
Analytical binomial lookback options with double-exponential jumps
Keywords: 62P05; 60H30; 65C20; 91B28Stochastic differential equation; Adjusted binomial tree method; Lookback option; Exponential jumps; Partial integro-differential equation; Viscosity solution
A smoothing homotopy method for solving variational inequalities
Keywords: 90C33; 90C30; 65C20; 65L05; Variational inequality; Smoothing method; Homotopy method; Global convergence;
Convergence of numerical solutions to stochastic age-dependent population equations with Markovian switching
Keywords: 60H15; 37N25; 65C20; Stochastic age-dependent population equations; Markovian switching; Numerical solutions; Convergence;
An extension of Draghicescu’s fast tree-code algorithm to the vortex method on a sphere
Keywords: 65Y20; 65C20; 76B47; 76M23Fast tree-code algorithms; Flows on sphere; Vortex method; Vortex sheet
Spectral approximation of solutions to the chemical master equation
Keywords: 65C20; 60H35; 41A10; 41A63Spectral-Galerkin method; Discrete approximation; Unbounded domain; Charlier’s polynomial; Master equation
A collocated finite volume scheme to solve free convection for general non-conforming grids
Keywords: 65C20; 76R10Collocated finite volume schemes; General non-conforming grids; Navier–Stokes equations; Boussinesq assumption