FASTCAR; solution of Cauchy-Riemann equations. [CDC6600,7600; IBM360,370; FORTRAN IV]

Technical Report ·

OSTI ID:6418985

Ghil, M; Balgovind, R

FASTCAR (a fast Cauchy-Riemann solver) solves a second-order accurate, discrete form of the inhomogeneous Cauchy-Riemann equations on a rectangle: Ux + Vy = d(x,y), Uy - Vx = e(x,y). Any one of the following combinations of boundary conditions is possible: (a) U(x,y) and V(x,y) are periodic in x. V(x,y) is assigned on the bottom and top of the rectangle, and the sum of U(x,y) is assigned over x for some fixed y. (b) V(x,y) is assigned on the bottom, top, and right sides of the rectangle, and U(x,y) is assigned on the left side. (c) V(x,y) is assigned on the bottom and top, and U(x,y) is assigned on the left and right of the rectangle. Numerical results indicate second-order accuracy even in cases where solutions do not have the smoothness required for the appropriate theoretical estimates.CDC6600,7600;IBM360,370; FORTRAN IV; SCOPE (CDC6600,7600), OS/370 (IBM370); 102,000 (octal) words of memory (CDC6600), 260K bytes of memory (IBM370).

• Research Organization: New York Univ., NY (USA). Courant Inst. of Mathematical Sciences
• OSTI ID: 6418985
• Report Number(s): ANL/NESC-827; ON: DE83048827
• Country of Publication: United States
• Language: English

Related Subjects

99 GENERAL AND MISCELLANEOUS
990200* -- Mathematics & Computers
ALGORITHMS
ANALYTICAL SOLUTION
BOUNDARY CONDITIONS
CAUCHY PROBLEM
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COMPUTER CODES
COMPUTERS
F CODES
FLUID FLOW
FORTRAN
FOURIER TRANSFORMATION
FUNCTIONS
IBM COMPUTERS
INTEGRAL TRANSFORMATIONS
MATHEMATICAL LOGIC
MATRICES
NUMERICAL SOLUTION
PROGRAMMING LANGUAGES
RIEMANN FUNCTION
TRANSFORMATIONS
TRANSONIC FLOW