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On Positivity Preservation in Some Finite Element Methods for the Heat Equation

8th International Conference on Numerical Methods and Applications, NMA 2014, Borovets, Bulgaria, 2015, Vol.8962, p.13-24

2015

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FINITE DIFFERENCE METHODS FOR THE HEAT EQUATION WITH A NONLOCAL BOUNDARY CONDITION

Journal of computational mathematics, 2015-01, Vol.33 (1), p.17-32

2015

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Some error estimates for the lumped mass finite element method for a parabolic problem

Mathematics of computation, 2012-01, Vol.81 (277), p.1-20

2012

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Parabolic finite volume element equations in nonconvex polygonal domains

Numerical methods for partial differential equations, 2009-05, Vol.25 (3), p.507-525

2009

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Parabolic finite element equations in nonconvex polygonal domains

BIT (Nordisk Tidskrift for Informationsbehandling), 2006-11, Vol.46 (S1), p.113-143

2006

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Besov Spaces and Applications to Difference Methods for Initial Value Problems

1975 edition., 1975

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Galerkin Finite Element Methods for Parabolic Problems

Thomee, V

1984 edition., 2006

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Maximum-norm error analysis of a numerical solution via Laplace transformation and quadrature of a fractional-order evolution equation

IMA journal of numerical analysis, 2010-01, Vol.30 (1), p.208-230

2010

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On Positivity and Maximum-Norm Contractivity in Time Stepping Methods for Parabolic Equations

Journal of computational methods in applied mathematics, 2010, Vol.10 (4), p.421-443

2010

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Partial Differential Equations with Numerical Methods

1, 2008

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Nonsmooth data error estimates for approximations of an evolution equation with a positive-type memory term

Mathematics of computation, 1996-01, Vol.65 (213), p.1-17

1996

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Maximum-norm estimates for finite-element methods for a strongly damped wave equation

BIT (Copenhagen), 2004, Vol.44 (1), p.165-179

2004

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Stability and analyticity in maximum-norm for simplicial Lagrange finite element semidiscretizations of parabolic equations with Dirichlet boundary conditions

Numerische Mathematik, 2000-12, Vol.87 (2), p.373-389

2000

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A parallel method for time-discretization of parabolic problems based on contour integral representation and quadrature

Mathematics of computation, 2000-01, Vol.69 (229), p.177-195

2000

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Discretization with variable time steps of an evolution equation with a positive-type memory term

Journal of computational and applied mathematics, 1996-01, Vol.69 (1), p.49-69

1996

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Error estimates for a finite volume element method for parabolic equations in convex polygonal domains

Numerical methods for partial differential equations, 2004-09, Vol.20 (5), p.650-674

2004

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Numerical solution of parabolic integro-differential equations by the discontinuous Galerkin method

Mathematics of computation, 1998-01, Vol.67 (221), p.45-71

1998

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Galerkin finite element methods for parabolic problems

Lecture notes in mathematics, 1984, Vol.1054

THOMEE, V

1984

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Asymptotic Behavior of Semidiscrete Finite-Element Approximations of Biot's Consolidation Problem

SIAM journal on numerical analysis, 1996-06, Vol.33 (3), p.1065-1083

1996

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Incomplete Iterations in Multistep Backward Difference Methods for Parabolic Problems with Smooth and Nonsmooth Data

Mathematics of computation, 1989-04, Vol.52 (186), p.339-367

1989

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Ritz-Volterra Projections to Finite-Element Spaces and Applications to Integrodifferential and Related Equations

SIAM journal on numerical analysis, 1991-08, Vol.28 (4), p.1047-1070

1991

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The Stability in $L_p$ and $W_p^1$ of the $L_2$-Projection onto Finite Element Function Spaces

Mathematics of computation, 1987-04, Vol.48 (178), p.521-532

1987

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Time Discretization of an Integro-Differential Equation of Parabolic Type

SIAM journal on numerical analysis, 1986-10, Vol.23 (5), p.1052-1061

1986

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"Some Topics in Stability Theory for Partial Difference Operators"

Numerical Analysis of Partial Differential Equations, 2010, Vol.44, p.441-468

2010

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The stability of rational approximations of analytic semigroups

BIT, 1993-03, Vol.33 (1), p.74-84

1993

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On Positivity Preservation in Some Finite Element Methods for the Heat Equation

FINITE DIFFERENCE METHODS FOR THE HEAT EQUATION WITH A NONLOCAL BOUNDARY CONDITION

Some error estimates for the lumped mass finite element method for a parabolic problem

Parabolic finite volume element equations in nonconvex polygonal domains

Parabolic finite element equations in nonconvex polygonal domains

Besov Spaces and Applications to Difference Methods for Initial Value Problems

Galerkin Finite Element Methods for Parabolic Problems

Maximum-norm error analysis of a numerical solution via Laplace transformation and quadrature of a fractional-order evolution equation

On Positivity and Maximum-Norm Contractivity in Time Stepping Methods for Parabolic Equations

Partial Differential Equations with Numerical Methods

Nonsmooth data error estimates for approximations of an evolution equation with a positive-type memory term

Maximum-norm estimates for finite-element methods for a strongly damped wave equation

Stability and analyticity in maximum-norm for simplicial Lagrange finite element semidiscretizations of parabolic equations with Dirichlet boundary conditions

A parallel method for time-discretization of parabolic problems based on contour integral representation and quadrature

Discretization with variable time steps of an evolution equation with a positive-type memory term

Error estimates for a finite volume element method for parabolic equations in convex polygonal domains

Numerical solution of parabolic integro-differential equations by the discontinuous Galerkin method

Galerkin finite element methods for parabolic problems

Asymptotic Behavior of Semidiscrete Finite-Element Approximations of Biot's Consolidation Problem

Incomplete Iterations in Multistep Backward Difference Methods for Parabolic Problems with Smooth and Nonsmooth Data

Ritz-Volterra Projections to Finite-Element Spaces and Applications to Integrodifferential and Related Equations

The Stability in $L_p$ and $W_p^1$ of the $L_2$-Projection onto Finite Element Function Spaces

Time Discretization of an Integro-Differential Equation of Parabolic Type

"Some Topics in Stability Theory for Partial Difference Operators"

The stability of rational approximations of analytic semigroups

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