Parallel implementation of a high-order implicit collocation method for the heat equation

Mathematics and Computers in Simulation

Volumn 54, Issue 6, 2001, Pages 509-519

  Kouatchou, Jules ^a  

^a NASA GODDARD SPACE FLIGHT CENTER   (United States)

Author keywords

High order compact scheme; Implicit collocation methods; Iterative methods; Matrix inverse; Parallel computers

Indexed keywords

APPROXIMATION THEORY; FINITE DIFFERENCE METHOD; INVERSE PROBLEMS; ITERATIVE METHODS; MATHEMATICAL MODELS; PARALLEL PROCESSING SYSTEMS; PROBLEM SOLVING;

CRANK-NICOLSON METHOD; HEAT EQUATION;

HEAT TRANSFER;

EID: 0034916588     PISSN: 03784754     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0378-4754(00)00280-9     Document Type: Article

References (9)

1. A practical method for numerical evaluation of solutions of partial differential equations of the heat-conduction type
2. Collocation methods for parabolic equations in a single space variable
3. A fourth-order Poisson solver
4. Solving ordinary differential equations. I. Nonstiff problems
5. One-step piecewise polynomial Galerkin methods for initial value problems
6. A validated parallel across time and space solution of the heat transfer equation
7. Finite differences and collocation methods for the solution of the two-dimensional heat equation
8. A new class of decomposition for inverting asymmetric and indefinite matrices
9. A sparse approximate inverse preconditioner for parallel preconditioning of general sparse matrices