A Modified Continuation Method for the Numerical Solution of Nonlinear Two-Point Boundary Value Problems by Shooting Techniques.
A Modified Fast Fourier Transform for Polynomial Evaluation and the Jenkins-Traub Algorithm.
A modified limited-memory BNS method for unconstrained minimization derived from the conjugate directions idea
A modification of the limited-memory variable metric BNS method for large scale unconstrained optimization of the differentiable function is considered, which consists in corrections (based on the idea of conjugate directions) of difference vectors for better satisfaction of the previous quasi-Newton conditions. In comparison with [11], more previous iterations can be utilized here. For quadratic objective functions, the improvement of convergence is the best one in some sense, all stored corrected...
A Modified Newton Method for the Solution of Ill-Conditioned Systems of Nonlinear Equations with Application to Multiple Shooting .
A modified quasi-boundary value method for a class of abstract parabolic ill-posed problems.
A modified quasi-boundary value method for the backward time-fractional diffusion problem
In this paper, we consider a backward problem for a time-fractional diffusion equation with variable coefficients in a general bounded domain. That is to determine the initial data from a noisy final data. Based on a series expression of the solution, a conditional stability for the initial data is given. Further, we propose a modified quasi-boundary value regularization method to deal with the backward problem and obtain two kinds of convergence rates by using an a priori regularization parameter...
A Modified Step-Length Algorithm in Nonlinear Programming
A modified version of explicit Runge-Kutta methods for energy-preserving
In this paper, Runge-Kutta methods are discussed for numerical solutions of conservative systems. For the energy of conservative systems being as close to the initial energy as possible, a modified version of explicit Runge-Kutta methods is presented. The order of the modified Runge-Kutta method is the same as the standard Runge-Kutta method, but it is superior in energy-preserving to the standard one. Comparing the modified Runge-Kutta method with the standard Runge-Kutta method, numerical experiments...
A moment problem for discrete nonpositive measures on a finite interval.
A monotone convergence theorem for Newton-like methods using hypotheses on divided differences of order two.
A Monte Carlo Method for High Dimensional Integration.
A Moreau-Yosida regularization of a difference of two convex functions.
A mountain pass method for the numerical solution of semilinear wave equations.
A moving mesh fictitious domain approach for shape optimization problems
A moving mesh fictitious domain approach for shape optimization problems
A new numerical method based on fictitious domain methods for shape optimization problems governed by the Poisson equation is proposed. The basic idea is to combine the boundary variation technique, in which the mesh is moving during the optimization, and efficient fictitious domain preconditioning in the solution of the (adjoint) state equations. Neumann boundary value problems are solved using an algebraic fictitious domain method. A mixed formulation based on boundary Lagrange multipliers is...
A multi-dimensional Hausdorff moment problems regularization by finite moments.
A multidomain spectral collocation method for the Stokes problem.
A multigrid algorithm for higher order finite elements on sparse grids.
A Multi-Grid Algorithm for Mixed Problems with Penalty.
A multigrid algorithm for solving the multi-group, anisotropic scattering Boltzmann equation using first-order system least-squares methodology.