木下 武彦

Some remarks on a priori estimates of highly regular solutions for the Poisson equation in polygonal domains 

JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS 33(3) 629-636 2016年12月  査読有り

H3 and H4 regularities of the poisson equation on polygonal domains 

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) 9582 199-201 2016年  査読有り

Some remarks on the rigorous estimation of inverse linear elliptic operators 

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) 9553 225-235 2016年  査読有り

Some considerations of the invertibility verifications for linear elliptic operators 

JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS 32(1) 19-31 2015年3月  査読有り

Recurrence relations of orthogonal polynomials in H₀¹ and H₀² 

Nonlinear Theory and Its Applications 6(3) 404-409 2015年  査読有り

On the a posteriori estimates for inverse operators of linear parabolic equations with applications to the numerical enclosure of solutions for nonlinear problems 

NUMERISCHE MATHEMATIK 126(4) 679-701 2014年4月  査読有り

An improvement of the theorem of a posteriori estimates for inverse elliptic operators 

Nonlinear Theory and Its Applications, IEICE 5(1) 47-52 2014年1月  査読有り

A POSTERIORI ESTIMATES OF INVERSE OPERATORS FOR BOUNDARY VALUE PROBLEMS IN LINEAR ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS 

MATHEMATICS OF COMPUTATION 82(283) 1543-1557 2013年7月  査読有り

Some remarks on the optimal L2 error estimates for the finite element method on the L-shaped domain 

Proceedings of the 2013 10th International Conference on Information Technology: New Generations, ITNG 2013 173-178 2013年  査読有り

Some remarks on the instability of approximate solutions for ODEs 

Nonlinear Theory and Its Applications, IEICE 4(1) 80-87 2013年1月  査読有り

CONSTRUCTIVE A PRIORI ERROR ESTIMATES FOR A FULL DISCRETE APPROXIMATION OF THE HEAT EQUATION 

SIAM JOURNAL ON NUMERICAL ANALYSIS 51(3) 1525-1541 2013年  査読有り

On a posteriori estimates of inverse operators for linear parabolic initial-boundary value problems 

COMPUTING 94(2-4) 151-162 2012年3月  査読有り

A posteriori estimates of inverse operators for initial value problems in linear ordinary differential equations 

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 236(6) 1622-1636 2011年10月  査読有り

On very accurate enclosure of the optimal constant in the a priori error estimates for H-0(2)-projection 

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 234(2) 526-537 2010年5月  査読有り

On very accurate verification of solutions for boundary value problems by using spectral methods 

JSIAM Letters 1 21-24 2009年2月  査読有り招待有り

On Verified Computations of the Optimal Constant in the a Priori Error Estimates for H(0)(2)-Projection 

NUMERICAL ANALYSIS AND APPLIED MATHEMATICS, VOLS 1 AND 2 1168 926-929 2009年  査読有り

On the L2 a Priori Error Estimates to the Finite Element Solution of Elliptic Problems with Singular Adjoint Operator 

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION 30(3-4) 289-305 2009年  査読有り