The principle of the difference of difference quotients as a key to the self-adaptive solution of nonlinear partial differential equations

Willi Schönauer, K. Raith, G. Glotz

Type: Article

Publication Date: 1981-09-01

Citations: 29

DOI: https://doi.org/10.1016/0045-7825(81)90005-0

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Computer Methods in Applied Mechanics and Engineering - View

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Works That Cite This (14)

Action	Title	Year	Authors
+	Numerical simulation of shock-box interaction using an adaptive finite element scheme	1994	Joseph D. Baum Rainald Löhner
+ PDF Chat	Software considerations for the “black box” solver FIDISOL for partial differential equations	1987	Willi Schönauer E. Schnepf
+	An adaptive finite element method for high speed compressible flow	2008	Rainald Löhner K. Morgan O.C. Zienkiewicz
+	FIDISOL: A ‘black box’ solver for partial differential equations	1988	Willi Schönauer E. Schnepf
+	Efficient vectorizable PDE solvers	1989	Willi Schönauer R. Weiβ
+ PDF Chat	Algorithm 690: Chebyshev polynomial software for elliptic-parabolic systems of PDEs	1991	Martin Berzins Peter M. Dew
+	VARIABLE STEP SIZE / VARIABLE ORDER PDE SOLVER WITH GLOBAL OPTIMISATION	1986	Willi Schönauer E. Schnepf H. Müller
+	On the method of modified equations. II: Numerical techniques based on the equivalent equation for the Euler forward difference method	1999	Francisco R. Villatoro J.I. Ramos
+	Numerical Engineering: Experiences in Designing PDE Software with Selfadaptive Variable Step Size/Variable Order Difference Methods	1984	Willi Schönauer E. Schnepf K. Raith
+	On the method of modified equations. IV. Numerical techniques based on the modified equation for the Euler forward difference method	1999	Francisco R. Villatoro J.I. Ramos

Works Cited by This (5)

Action	Title	Year	Authors
+	A Polyalgorithm for the Numerical Solution of Ordinary Differential Equations	1975	George D. Byrne A.C. Hindmarsh
+	Numerical Initial Value Problems in Ordinary Differential Equations	1973	E. I. C. W. Gear
+ PDF Chat	Numerical Initial Value Problems in Ordinary Differential Equations	1972	James Watt
+	A fractional step method for the solution of the Navier-Stokes equations in arbitrary three-dimensional regions	1979	C. W. Mastin Amrita Ghosh J. F. Thompson
+	The solution of the laminar boundary layer equations by a variable order selfadaptive difference method	1980	W. Schoenauer G. Glotz K. Raith