A fast numerical method for mildly nonlinear parabolic initial boundary value problems II: The parallel implementation on the Intel Touchstone Delta system

Parallel Computing ◽

10.1016/s0167-8191(96)00044-0 ◽

1996 ◽

Vol 22 (9) ◽

pp. 1281-1285

Author(s):

Maria Antonietta Pirozzi

Keyword(s):

Boundary Value Problems ◽

Numerical Method ◽

Parallel Implementation ◽

Boundary Value ◽

Initial Boundary ◽

Initial Boundary Value Problems ◽

Nonlinear Parabolic ◽

Delta System ◽

Initial Boundary Value

Download Full-text

Decay bounds in initial-boundary value problems for nonlinear parabolic systems

Nonlinear Analysis ◽

10.1016/s0362-546x(01)00784-2 ◽

2002 ◽

Vol 50 (7) ◽

pp. 899-912 ◽

Author(s):

L.E. Payne ◽

P.W. Schaefer

Keyword(s):

Boundary Value Problems ◽

Boundary Value ◽

Parabolic Systems ◽

Initial Boundary ◽

Initial Boundary Value Problems ◽

Nonlinear Parabolic Systems ◽

Nonlinear Parabolic ◽

Decay Bounds ◽

Initial Boundary Value

Download Full-text

A numerical method based on the Adomian decomposition method for identifying an unknown source in non-local initial-boundary value problems

International Journal of Mathematical Modelling and Numerical Optimisation ◽

10.1504/ijmmno.2015.071869 ◽

2015 ◽

Vol 6 (3) ◽

pp. 185 ◽

Author(s):

Reza Pourgholi ◽

Akram Saeedi

Keyword(s):

Boundary Value Problems ◽

Numerical Method ◽

Decomposition Method ◽

Boundary Value ◽

Adomian Decomposition Method ◽

Initial Boundary ◽

Initial Boundary Value Problems ◽

Adomian Decomposition ◽

Non Local ◽

Initial Boundary Value

Download Full-text

On pseudo-monotone operators and nonlinear parabolic initial-boundary value problems on unbounded domains

Annales Academiae Scientiarum Fennicae Series A I Mathematica ◽

10.5186/aasfm.1981.0611 ◽

1981 ◽

Vol 6 ◽

pp. 225-232 ◽

Author(s):

Vesa Mustonen

Keyword(s):

Boundary Value Problems ◽

Boundary Value ◽

Unbounded Domains ◽

Monotone Operators ◽

Initial Boundary ◽

Initial Boundary Value Problems ◽

Nonlinear Parabolic ◽

Initial Boundary Value

Download Full-text

Reduction of the basic initial-boundary value problems for the Navier-Stokes equations to initial-boundary value problems for nonlinear parabolic systems of pseudodifferential equations

Journal of Soviet Mathematics ◽

10.1007/bf01671932 ◽

1991 ◽

Vol 56 (2) ◽

pp. 2300-2308 ◽

Author(s):

G. Grubb ◽

V. A. Solonnikov

Keyword(s):

Boundary Value Problems ◽

Stokes Equations ◽

Boundary Value ◽

Parabolic Systems ◽

Initial Boundary ◽

Navier Stokes ◽

Initial Boundary Value Problems ◽

Navier Stokes Equations ◽

Nonlinear Parabolic ◽

Initial Boundary Value

Download Full-text

Fast Numerical Method for 2D Initial-Boundary Value Problems for the Boltzmann Equation

Parallel Processing and Applied Mathematics - Lecture Notes in Computer Science ◽

10.1007/978-3-642-55195-6_47 ◽

2014 ◽

pp. 499-509

Author(s):

Alexei Heintz ◽

Piotr Kowalczyk

Keyword(s):

Boltzmann Equation ◽

Boundary Value Problems ◽

Numerical Method ◽

Boundary Value ◽

Initial Boundary ◽

Initial Boundary Value Problems ◽

The Boltzmann Equation ◽

Initial Boundary Value

Download Full-text

Positive solutions for nonlinear parabolic second initial boundary value problems

Quarterly of Applied Mathematics ◽

10.1090/qam/427832 ◽

1974 ◽

Vol 31 (4) ◽

pp. 443-454 ◽

Author(s):

C. Y. Chan

Keyword(s):

Boundary Value Problems ◽

Positive Solutions ◽

Boundary Value ◽

Initial Boundary ◽

Initial Boundary Value Problems ◽

Nonlinear Parabolic ◽

Initial Boundary Value

Download Full-text

Strongly nonlinear parabolic initial-boundary value problems

Proceedings of the National Academy of Sciences ◽

10.1073/pnas.76.1.38 ◽

1979 ◽

Vol 76 (1) ◽

pp. 38-40 ◽

Author(s):

H. Brezis ◽

F. E. Browder

Keyword(s):

Boundary Value Problems ◽

Boundary Value ◽

Initial Boundary ◽

Initial Boundary Value Problems ◽

Strongly Nonlinear ◽

Nonlinear Parabolic ◽

Initial Boundary Value

Download Full-text

Uniformly convergent numerical method for singularly perturbed parabolic initial-boundary-value problems with equidistributed grids

International Journal of Computer Mathematics ◽

10.1080/00207160.2013.792925 ◽

2013 ◽

Vol 91 (3) ◽

pp. 553-577 ◽

Author(s):

S. Gowrisankar ◽

Srinivasan Natesan

Keyword(s):

Boundary Value Problems ◽

Numerical Method ◽

Boundary Value ◽

Initial Boundary ◽

Singularly Perturbed ◽

Initial Boundary Value Problems ◽

Uniformly Convergent ◽

Initial Boundary Value

Download Full-text

On Initial Boundary Value Problems with Equivalued Surface for Nonlinear Parabolic Equations

Boundary Value Problems ◽

10.1155/2009/739097 ◽

2009 ◽

Vol 2009 (1) ◽

pp. 739097 ◽

Author(s):

Fengquan Li

Keyword(s):

Boundary Value Problems ◽

Parabolic Equations ◽

Boundary Value ◽

Initial Boundary ◽

Nonlinear Parabolic Equations ◽

Initial Boundary Value Problems ◽

Nonlinear Parabolic ◽

Initial Boundary Value ◽

Equivalued Surface

Download Full-text

Some comparison and uniqueness theorems for nonlinear elliptic boundary value problems and nonlinear parabolic initial-boundary value problems

Nonlinear Analysis ◽

10.1016/s0362-546x(96)00097-1 ◽

1997 ◽

Vol 29 (9) ◽

pp. 1079-1090

Author(s):

Cui Shangbin

Keyword(s):

Boundary Value Problems ◽

Elliptic Boundary ◽

Boundary Value ◽

Initial Boundary ◽

Initial Boundary Value Problems ◽

Elliptic Boundary Value ◽

Nonlinear Elliptic ◽

Nonlinear Parabolic ◽

Nonlinear Elliptic Boundary ◽

Initial Boundary Value

Download Full-text