IMA Journal of Numerical Analysis

Title Publication Date Language Citations
A discontinuous Galerkin method with weighted averages for advection-diffusion equations with locally small and anisotropic diffusivity2008/04/02English126
A Modified BFGS Algorithm for Unconstrained Optimization1991/01/01English121
Estimates on the generalization error of physics-informed neural networks for approximating a class of inverse problems for PDEs2021/06/17English119
The cyclic Barzilai-–Borwein method for unconstrained optimization2006/07/01English118
Moment-free numerical integration of highly oscillatory functions2006/04/01English114
Matrix completion via an alternating direction method2011/06/09English112
Stability of Runge-Kutta Methods for Trajectory Problems1987/01/01English111
Conerservative and Nonconservative Schemes for the Solution of the Nonlinear Schrödinger Equation1986/01/01English110
Inexact spectral projected gradient methods on convex sets2003/10/01English108
Product Approximation for Non-linear Problems in the Finite Element Method1981/01/01English106
Solving Linear Partial Differential Equations by Exponential Splitting1989/01/01English104
Convergence of Newton's method and uniqueness of the solution of equations in Banach space2000/01/01English103
Stability and convergence of a second-order mixed finite element method for the Cahn–Hilliard equation2015/12/17English102
A class of derivative-free methods for large-scale nonlinear monotone equations2011/01/12English102
Fitted and Unfitted Finite-Element Methods for Elliptic Equations with Smooth Interfaces1987/01/01English100
Toeplitz Preconditioners for Toeplitz Systems with Nonnegative Generating Functions1991/01/01English99
Approximation of the global attractor for the incompressible Navier-Stokes equations2000/10/01English99
Data Dependent Triangulations for Piecewise Linear Interpolation1990/01/01English97
Numerical analysis of a quadratic matrix equation2000/10/01English96
A conforming mixed finite-element method for the coupling of fluid flow with porous media flow2008/02/27English96
A novel fitted finite volume method for the Black-Scholes equation governing option pricing2004/10/01English94
Block-diagonal preconditioning for spectral stochastic finite-element systems2008/04/02English94
Restrictively preconditioned conjugate gradient methods for systems of linear equations2003/10/01English93
On approximate approximations using Gaussian kernels1996/01/01English93
A virtual element method with arbitrary regularity2013/07/17English91
Centred TVD schemes for hyperbolic conservation laws2000/01/01English91
On the numerical quadrature of highly-oscillating integrals I: Fourier transforms2004/07/01English91
Error analysis of semidiscrete finite element methods for inhomogeneous time-fractional diffusion2014/05/30English91
Approximation of 1/x by exponential sums in [1, ∞)2005/10/01English89
Piecewise Rational Quadratic Interpolation to Monotonic Data1982/01/01English86