Implicit-explicit multistep methods for quasilinear parabolic equations

Georgios Akrivis, Michel Crouzeix, Charalambos Makridakis

Type: Article

Publication Date: 1999-06-01

Citations: 117

DOI: https://doi.org/10.1007/s002110050429

View Publication

Locations

Numerische Mathematik - View

Similar Works

Action	Title	Year	Authors
+	Fully implicit, linearly implicit and implicit–explicit backward difference formulae for quasi-linear parabolic equations	2015	Georgios Akrivis Christian Lubich
+	Explicit iterative difference schemes for parabolic equations	1998	A. S. Shvedov В. Т. Жуков
+	Nonlinear explicit difference schemes for solving parabolic equations	1993	Ya. N. Glinskii
+ PDF Chat	IMPLICIT DIFFERENCE METHODS FOR NONLINEAR PARABOLIC FUNCTIONAL DIFFERENTIAL SYSTEMS	2006	Karolina Kropielnicka
+	Explicit methods of numerical integration for parabolic equations	2011	В. Т. Жуков
+	The linearly implicit Euler method for quasi-linear parabolic differential equations	1990	K. Strehmel Willem Hundsdorfer R. Weiner Anton Arnold
+	Error analysis of implicit Euler methods for quasilinear hyperbolic evolution equations	2016	Marlis Hochbruck Tomislav Pažur
+ PDF Chat	On Integration of Quasi-Linear Parabolic Equations By Explicit Difference Methods	1959	J. Wolfgang Smith
+	EXPLICIT-IMPLICIT DIFFERENCE SCHEMES FOR CONVECTION-DIFFUSION PROBLEMS	1999	A. A. Samarskiĭ П. Н. Вабищевич
+	Implicit schemes for differential equations	1982	Li-Yauw Oey
+	Multistep numerical methods for functional-differential-algebraic equations	2007	В. Г. Пименов
+	Multistep numerical methods for functional differential equations	1998	A. V. Kim В. Г. Пименов
+	A multistep difference method for parabolic equations	1992	N. Yu. Bakayev
+	Linear Multistep Solvers for Ordinary Differential Equations	2004	L.Gr. Ixaru G. Vanden Berghe
+	Explicit difference schemes for nonlinear differential functional parabolic equations with mixed derivatives-convergence analysis	2005	Artur Poliński
+	FINITE DIFFERENCE METHOD WITH NONUNIFORM MESHES FOR QUASILINEAR PARABOLIC SYSTEMS	1997	Zhou Yl
+	Numerical solution of a quasilinear parabolic problem	1980	P. C. Jain Mohan K. Kadalbajoo
+	A-Stable High-Order Block Implicit Methods for Parabolic Equations	2023	Shishun Li Jingyuan Wang Xiao‐Chuan Cai
+	An efficient acceleration technique of implicit schemes for quasi-linear parabolic problems	2024	Kejia Pan Jiajia Xie Kang Fu Hongling Hu
+	Accuracy of difference schemes for quasilinear parabolic problems	1986	Remigijus Čiegis

Works That Cite This (96)

Action	Title	Year	Authors
+	Unconditional stability for multistep ImEx schemes: Practice	2018	Benjamin Seibold David Shirokoff Dong Zhou
+	High order semi-implicit multistep methods for time dependent partial differential equations.	2020	Giacomo Albi Lorenzo Pareschi
+	A posteriori error estimates for the Crank–Nicolson method for parabolic equations	2005	Georgios Akrivis Charalambos Makridakis Ricardo H. Nochetto
+	Stability of implicit and implicit–explicit multistep methods for nonlinear parabolic equations	2017	Georgios Akrivis
+	Fully implicit, linearly implicit and implicit–explicit backward difference formulae for quasi-linear parabolic equations	2015	Georgios Akrivis Christian Lubich
+ PDF Chat	Two-step Bdf Time Discretisation of Nonlinear Evolution Problems Governed by Monotone Operators with Strongly Continuous Perturbations	2009	Etienne Emmrich
+	Stability and convergence analysis of implicit–explicit one-leg methods for stiff delay differential equations	2015	Gengen Zhang Aiguo Xiao
+	An Analysis of the Blended Three-Step Backward Differentiation Formula Time-Stepping Scheme for the Navier-Stokes-Type System Related to Soret Convection	2015	S. S. Ravindran
+	Convergence of Extrapolated BDF2 Finite Element Schemes for Unsteady Penetrative Convection Model	2011	S. S. Ravindran
+	A stiff-cut splitting technique for stiff semi-linear systems of differential equations	2023	Tao Sun Hai‐Wei Sun

Works Cited by This (11)

Action	Title	Year	Authors
+	Incomplete Iteration for Time-Stepping a Galerkin Method for a Quasilinear Parabolic Problem	1979	Jim Douglas Todd Dupont Richard E. Ewing
+ PDF Chat	Efficient higher order single step methods for parabolic problems. I	1980	James H. Bramble Peter H. Sammon
+ PDF Chat	Implicit-explicit multistep finite element methods for nonlinear parabolic problems	1998	Georgios Akrivis Michel Crouzeix Charalambos Makridakis
+ PDF Chat	On the convergence of multistep methods for nonlinear stiff differential equations	1992	Christian Lubich
+	Discrete Variable Methods in Ordinary Differential Equations.	1962	A. B. Farnell Peter Henrici
+	Une m�thode multipas implicite-explicite pour l'approximation des �quations d'�volution paraboliques	1980	Michel Crouzeix
+ PDF Chat	Galerkin Finite Element Methods for Parabolic Problems.	1985	Rolf Rannacher Vidar Thomée
+ PDF Chat	Incomplete iterations in multistep backward difference methods for parabolic problems with smooth and nonsmooth data	1989	James H. Bramble Joseph E. Pasciak Peter H. Sammon Vidar Thomée
+ PDF Chat	Finite element multistep discretizations of parabolic boundary value problems	1975	Miloš Zlámal
+	A ?-stable approximations of abstract Cauchy problems	1993	Giuseppe Savar�