Results 41 to 50 of about 401,417 (282)
A Priori Error Estimates for Approximation of Parabolic Boundary Value Problems [PDF]
SIAM Journal on Numerical Analysis, 1975 The L2-error estimates are established for the continuous time Faedo-Galerkin approximation to solutions of a linear parabolic initial boundary value problem that has elliptic part of order 2m. Properties of analytic semigroups are used to obtain these estimates directly from the LZ-estimates for the corresponding steady state elliptic problem under ...
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A multigrid discretization scheme of discontinuous Galerkin method for the Steklov-Lamé eigenproblem
AIMS Mathematics, 2023 In this paper, for the Steklov-Lamé eigenvalue problem, we propose a multigrid discretization scheme of discontinuous Galerkin method based on the shifted-inverse iteration.
Liangkun Xu, Hai Bi
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On a Novel Numerical Scheme for Riesz Fractional Partial Differential Equations
Mathematics, 2021 In this paper, we consider numerical solutions for Riesz space fractional partial differential equations with a second order time derivative. We propose a Galerkin finite element scheme for both the temporal and spatial discretizations.
Junjiang Lai, Hongyu Liu
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A piecewise linear FEM for an optimal control problem of fractional operators: error analysis on curved domains [PDF]
, 2016 We propose and analyze a new discretization technique for a linear-quadratic optimal control problem involving the fractional powers of a symmetric and uniformly elliptic second oder operator; control constraints are considered.
Otarola, Enrique
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A New Mixed Element Method for a Class of Time-Fractional Partial Differential Equations
The Scientific World Journal, 2014 A kind of new mixed element method for time-fractional partial differential equations is studied. The Caputo-fractional derivative of time direction is approximated by two-step difference method and the spatial direction is discretized by a new mixed ...
Yang Liu +4 more
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Mathematics, 2020 In this paper, we prove two general convergence theorems with error estimates that give sufficient conditions to guarantee the local convergence of the Picard iteration in arbitrary normed fields. Thus, we provide a unified approach for investigating the
Stoil I. Ivanov
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Journal of Function Spaces, 2023 In this paper, with classic Legendre polynomials, a method of particular solutions (MPS, for short) is proposed to solve a kind of second-order differential equations with a variable coefficient on a unit interval.
Huantian Xie +3 more
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Aging and Cancer, EarlyView.This study underscores the significant influence of frailty and vitality on the subjective health experience of older cancer survivors with acceptance and control emerging as salient mediators. These findings affirm the conceptual and empirical robustness of the model highlighting its potential utility in shaping future interventions for older cancer ...
Damien S. E. Broekharst +4 more
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Results in Applied Mathematics, 2023 In this paper, we consider a two-layer Crank–Nicolson scheme combined with linear finite element approximation for second-order hyperbolic optimal control problems with control constraints.
Xiaowu Li, Yuelong Tang
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A priori error estimates for the optimal control of laser surface hardening of steel [PDF]
, 2010 A priori error estimates for the optimal control of laser surface hardening of ...
Amiya K +5 more
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