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;
مقالات ISI (ترجمه نشده)
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Keywords: 15A18; 15A69; 41A25; 41A46; 41A63; 65J10; Low-rank tensor approximation; High-dimensional equations; Singular value decay; Richardson iteration;
Keywords: 65M70; 65J10; 65L99; 65M12Spectral method; Operator equation; Hilbert space
Keywords: 35F46; 35L05; 35L50; 35L65; 35M13; 65J10; 65M12; 65M15; 65M60; 76M10; Time marching schemes; Dispersion; Dissipation; von Neumann analysis; Fourier analysis; Mixed wave equation;
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;
Keywords: 65M12; 65M70; 65N12; 65N35; 65M15; 65M22; 65J10; 65J20; 35D30; 35D35; 35B65; 41A25; 41A63Stability; Partial differential equations; Tau methods; Pseudospectral methods; Collocation; Discretization
Fast numerical valuation of options with jump under Merton's model
Keywords: 65M06; 65M55; 65L60; 91B25; 91G60; 65J10; European option pricing; American option pricing; Merton's jump-diffusion model; Finite difference methods; Discontinuous Galerkin finite element methods; Multigrid methods;
Error analysis of an HDG method for a distributed optimal control problem
Keywords: 49K20; 49M25; 65J10; 65N15Hybridizable discontinuous Galerkin method; Optimal control; Error estimates
Estimation of the bilinear form y⁎f(A)x for Hermitian matrices
Keywords: 65F15; 65F30; 65B05; 65C05; 65J10; 15A18; 15A45Bilinear form; Hermitian matrix; Matrix moments; Function moment; Matrix functions; Extrapolation
Computing matrix symmetrizers, part 2: New methods using eigendata and linear means; a comparison
Keywords: 65F10; 65J10; 15A23; 15B57; Symmetric matrix factorization; Symmetrizer; Symmetrizer computation; Eigenvalue method; Linear equation; Principal subspace computation; Matrix optimization; Numerical algorithm; MATLAB code;
Multiscale interpolation on the sphere: Convergence rate and inverse theorem
Keywords: Multiscale interpolation; Sphere; Approximation; Spherical basis function41A17; 65J10; 46E35
Defect-based local error estimators for splitting methods, with application to Schrödinger equations, Part II. Higher-order methods for linear problems
Keywords: 65J10; 65L05; 65M12; 65M15; Linear evolution equations; Time-dependent linear Schrödinger equations; Time integration; Higher-order exponential operator splitting methods; AÂ priori local error estimates; AÂ posteriori local error estimates;
A Sommerfeld non-reflecting boundary condition for the wave equation in mixed form
Keywords: Non-reflecting boundary condition; Open boundary condition; Artificial boundary condition; Wave equation; Stabilized finite element methods; Variational multi-scale method35F46; 35L05; 35L50; 35L65; 35M13; 65J10; 65M12; 65M15; 65M60; 76M10
Defect-based local error estimators for splitting methods, with application to Schrödinger equations, Part I: The linear case
Keywords: 65J10; 65L05; 65M12; 65M15Linear evolution equations; Time-dependent linear Schrödinger equations; Exponential operator splitting methods; Defect correction; A priori local error estimates; A posteriori local error estimates
Convergence estimates of a projection-difference method for an operator-differential equation
Keywords: 65J10; 65M60; 35K90; Cauchy problem; Difference scheme; Operator equation; Galerkin method; Hilbert space; Orthogonal projection;
An optimal adaptive wavelet method for nonsymmetric and indefinite elliptic problems
Keywords: 41A25; 65J10; 65N30; 65N38; 65T60Adaptive methods; Strongly elliptic operators; Wavelets; Optimal computational complexity; Best NN-term approximation
On the approximate solution of a mathematical model of a viscoelastic bar
Keywords: 44A40; 65J10; Viscoelastic bar; Shock; MikusiÅski operators;
A posteriori estimation of the linearization error for strongly monotone nonlinear operators
Keywords: 65N15; 65J10; 65J15; A posteriori; Estimator; Linearization; Nonlinear elasticity;
The character of operational successive approximations
Keywords: 44A40; 65J10; MikusiÅski operators; Integro-differential equations; Character of the approximate solutions;
B-splines and discretization in an inverse problem for Poisson processes
Keywords: 62G05; 65J10; Quasi-maximum likelihood estimators; Poisson process; Intensity function; Unfolding; Discretization; B-spline sieves;
Order reduction and how to avoid it when explicit Runge-Kutta-Nyström methods are used to solve linear partial differential equations
Keywords: 65M20; 65M12; 65M60; 65J10; Order reduction; Runge-Kutta-Nyström methods; Method of lines; Second-order partial differential equations; Initial-boundary value problems;