DOI10.1137/0730071zbMath0794.65053OpenAlexW1977981719MaRDI QIDQ3142633
César Palencia
Publication date: 31 August 1994
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/0730071
Functional calculus estimates for Tadmor-Ritt operators,
A fractional trapezoidal rule for integro-differential equations of fractional order in Banach spaces,
FUNCTIONAL CALCULI FOR SECTORIAL OPERATORS AND RELATED FUNCTION THEORY,
Stability of the crank-nicolson scheme and maximal regularity for parabolic equations in spaces,
Contractivity results for alternating direction schemes in Hilbert spaces,
The stability of rational approximations of analytic semigroups,
A hybrid finite difference scheme for pricing Asian options,
Crank–Nicolson Scheme for Abstract Linear Systems,
ON WELL-POSEDNESS OF DIFFERENCE SCHEMES FOR ABSTRACT PARABOLIC EQUATIONS INLP([0,T;
E) SPACES],
A high order uniformly convergent alternating direction scheme for time dependent reaction-diffusion singularly perturbed problems,
On the bounds of approximations of holomorphic semigroups,
Discretisation of abstract linear evolution equations of parabolic type,
Unnamed Item,
A second order fractional step hybrid numerical algorithm for time delayed singularly perturbed 2D convection-diffusion problems,
Computing Semigroups with Error Control,
Decay rate of \(\exp (A^{-1}t)A^{-1}\) on a Hilbert space and the Crank-Nicolson scheme with smooth initial data,
An algorithm to compute sets enclosingM-numerical ranges with applications in numerical analysis,
Stability of linear multistep methods and applications to nonlinear parabolic problems.,
On the Crank-Nicolson scheme once again,
A second-order scheme for a time-fractional diffusion equation,
A Besov algebra calculus for generators of operator semigroups and related norm-estimates,
Runge-Kutta convolution quadrature methods for well-posed equations with memory,
On the Stability of Variable Stepsize Rational Approximations of Holomorphic Semigroups,
Stability of linear multistep methods for sectorial operators in Banach spaces,
The stability of rational approximations of cosine functions on Hilbert spaces,
Numerical approximation of a time-fractional Black-Scholes equation,
Stability of Rational Multistep Approximations of Holomorphic Semigroups,
From finite differences to finite elements. A short history of numerical analysis of partial differential equations,
Remarks on the rational approximation of holomorphic semigroups with nonuniform partitions,
Stability results for fractional step discretizations of time dependent coefficient evolutionary problems,
On positivity, shape, and norm-bound preservation of time-stepping methods for semigroups,
High order parameter-robust numerical method for time dependent singularly perturbed reaction-diffusion problems,
Resolvent Estimates for Elliptic Finite Element Operators in One Dimension,
\(A\)-stable Runge-Kutta methods for semilinear evolution equations,
Smoothing with positivity-preserving Padé schemes for parabolic problems with nonsmooth data,
On variable stepsize Runge-Kutta approximations of a Cauchy problem for the evolution equation,
High order methods for elliptic and time dependent reaction-diffusion singularly perturbed problems,
Stability of Runge-Kutta methods for abstract time-dependent parabolic problems: The Hölder case,
The Upper Bounds for Powers of Linear Operators and Some Applications to the Stability Analysis of Difference Problems,
Rational methods with optimal order of convergence for partial differential equations,
Numerical ranges and stability estimates,
Optimal orders of convergence for Runge-Kutta methods and linear, initial boundary value problems,
A note about ritt's condition, related resolvent conditions and power bounded operators,
Spectral/Rosenbrock discretizations without order reduction for linear parabolic problems,
Avoiding the order reduction of Runge-Kutta methods for linear initial boundary value problems,
Stability in the numerical solution of the heat equation with nonlocal boundary conditions,
Sharpening the estimate of the stability constant in the maximum-norm of the Crank-Nicolson scheme for the one-dimensional heat equation
