Existence and uniqueness of solutions of certain systems of algebraic equations with off-diagonal nonlinearity

Applied Numerical Mathematics

Volumn 37, Issue 3, 2001, Pages 359-370

  Fuhrmann, Jürgen ^a  

^a WEIERSTRASS INSTITUTE FOR APPLIED ANALYSIS AND STOCHASTICS   (Germany)

Author keywords

Finite volume methods; Nonlinear parabolic PDEs; Positive matrices; Systems of algebraic equations; Viscous conservation laws

Indexed keywords

COMPUTATIONAL GEOMETRY; FINITE VOLUME METHOD; INVERSE PROBLEMS; MATRIX ALGEBRA; PARTIAL DIFFERENTIAL EQUATIONS; PROBLEM SOLVING;

BROUWER'S FIXED POINT THEOREM; VISCOUS CONSERVATION LAW;

NONLINEAR EQUATIONS;

EID: 0035341645     PISSN: 01689274     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0168-9274(00)00052-0     Document Type: Article

References (14)

1. Numerical simulation of surface heat treatments
2. Stability of solutions of time-implicit finite volume schemes for viscous nonlinear conservation laws
3. On numerical solution methods for nonlinear parabolic problems
4. Capillary conduction of liquids through porous mediums
5. Difference analogues of quasi-linear elliptic Dirichlet problems with mixed derivatives