High Performance Computing of Elliptic Partial Differential Equations with Spline Collocation

Advances in Parallel and Vector Processing for Structural Mechanics ◽

10.4203/ccp.20.2.1 ◽

2009 ◽

Author(s):

C.C. Christara

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

High Performance Computing ◽

High Performance ◽

Elliptic Partial Differential Equations ◽

Spline Collocation ◽

Partial Differential ◽

Performance Computing

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On the Efficiency of Python for High-Performance Computing: A Case Study Involving Stencil Updates for Partial Differential Equations

Modeling, Simulation and Optimization of Complex Processes ◽

10.1007/978-3-540-79409-7_23 ◽

2008 ◽

pp. 337-357 ◽

Cited By ~ 10

Author(s):

Hans Petter Langtangen ◽

Xing Cai

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

High Performance Computing ◽

High Performance ◽

Partial Differential ◽

Performance Computing

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High Performance Computing Methods and Systems for Partial Differential Equations.

10.21236/ada299355 ◽

1995 ◽

Author(s):

John R. Rice

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

High Performance Computing ◽

High Performance ◽

Computing Methods ◽

Partial Differential ◽

Performance Computing

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High performance computing for partial differential equations

Computers & Fluids ◽

10.1016/j.compfluid.2010.07.001 ◽

2011 ◽

Vol 43 (1) ◽

pp. 68-73 ◽

Cited By ~ 1

Author(s):

R. Gruber ◽

E. Ahusborde ◽

M. Azaïez ◽

V. Keller ◽

J. Latt

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

High Performance Computing ◽

High Performance ◽

Partial Differential ◽

Performance Computing

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Advances in High-Performance Computing: Multigrid Methods for Partial Differential Equations and its Applications

High Performance Computing in Science and Engineering 2000 ◽

10.1007/978-3-642-56548-9_41 ◽

2001 ◽

pp. 506-519 ◽

Cited By ~ 2

Author(s):

Peter Bastian ◽

Klaus Johannsen ◽

Stefan Lang ◽

Sandra Nägele ◽

Christian Wieners ◽

...

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

High Performance Computing ◽

High Performance ◽

Multigrid Methods ◽

Partial Differential ◽

Performance Computing

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A parallel spline collocation-capacitance method for elliptic partial differential equations

Proceedings of the 2nd international conference on Supercomputing - ICS '88 ◽

10.1145/55364.55401 ◽

1988 ◽

Cited By ~ 4

Author(s):

C. C. Christara ◽

E. N. Houstis ◽

J. R. Rice

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Elliptic Partial Differential Equations ◽

Spline Collocation ◽

Partial Differential ◽

Capacitance Method

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Analysis of Iterative Line Spline Collocation Methods for Elliptic Partial Differential Equations

SIAM Journal on Matrix Analysis and Applications ◽

10.1137/s0895479896309827 ◽

2000 ◽

Vol 21 (2) ◽

pp. 508-521 ◽

Cited By ~ 12

Author(s):

A. Hadjidimos ◽

E. N. Houstis ◽

J. R. Rice ◽

E. Vavalis

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Elliptic Partial Differential Equations ◽

Collocation Methods ◽

Spline Collocation ◽

Partial Differential

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Iterative Line Cubic Spline Collocation Methods for Elliptic Partial Differential Equations in Several Dimensions

SIAM Journal on Scientific Computing ◽

10.1137/0914045 ◽

1993 ◽

Vol 14 (3) ◽

pp. 715-734 ◽

Cited By ~ 12

Author(s):

A. Hadjidimos ◽

E. N. Houstis ◽

J. R. Rice ◽

E. A. Vavalis

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Elliptic Partial Differential Equations ◽

Cubic Spline ◽

Collocation Methods ◽

Spline Collocation ◽

Partial Differential ◽

Cubic Spline Collocation

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Quadratic spline collocation methods for elliptic partial differential equations

BIT Numerical Mathematics ◽

10.1007/bf01935015 ◽

1994 ◽

Vol 34 (1) ◽

pp. 33-61 ◽

Cited By ~ 40

Author(s):

Christina C. Christara

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Elliptic Partial Differential Equations ◽

Collocation Methods ◽

Spline Collocation ◽

Partial Differential ◽

Quadratic Spline ◽

Quadratic Spline Collocation

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RETRACTED: Quartic spline collocation methods for elliptic partial differential equations

Applied Mathematics and Computation ◽

10.1016/j.amc.2004.08.041 ◽

2005 ◽

Vol 168 (1) ◽

pp. 198-221 ◽

Cited By ~ 2

Author(s):

H.M. El-Hawary ◽

E.A. Zanaty ◽

E. El-Sanousy

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Elliptic Partial Differential Equations ◽

Collocation Methods ◽

Spline Collocation ◽

Partial Differential

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Convergence of $O(h^4 )$ Cubic Spline Collocation Methods for Elliptic Partial Differential Equations

SIAM Journal on Numerical Analysis ◽

10.1137/0725006 ◽

1988 ◽

Vol 25 (1) ◽

pp. 54-74 ◽

Cited By ~ 33

Author(s):

E. N. Houstis ◽

E. A. Vavalis ◽

J. R. Rice

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Elliptic Partial Differential Equations ◽

Cubic Spline ◽

Collocation Methods ◽

Spline Collocation ◽

Partial Differential ◽

Cubic Spline Collocation

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