

Bibliography
for Separable Differential Equations
unabridged
- Interval systems of max-separable linear equations
Cechlarova K.; Cuninghame-Green R.A.
Linear Algebra and its Applications, 1 January 2002, vol. 340, no.
1, pp. 215-224(10), Ingenta.
- Verhulst's Logistic
Curve
David M. Bradley
College Math Journal: Volume 32, Number 2, 2001, Pages:
94-98.
- Complex second-order differential equations and
separability
Sarlet, W.; Thompson, G.
Applicable Algebra in Engineering, Communications and Computing, v
11, n 5, 2001, p 333-357, Compendex.
- Math Bite: Once in a While,
Differentiation Is Multiplicative
J. Marshall Ash
Mathematics Magazine: Volume 73, Number 4, 2000, Pages:
302.
- On separable Schrödinger equations.
Zhdanov, Renat; Zhalij, Alexander
J. Math. Phys. 40 (1999), no. 12, 6319--6338, MathSciNet.
- Separation of variables for the 1-dimensional non-linear
diffusion equation
Philip W. Doyle and Peter J. Vassiliou
International Journal of Non-Linear Mechanics, Volume 33, Issue 2,
March 1998, Pages 315-326
- Complete separability of time-dependent second-order ordinary
differential equations
Cantrijn, F.; Sarlet, W.; Vandecasteele, A.; Martinez,
E.
Acta Applicandae Mathematicae, v 42, n 3, Mar, 1996, p 309-334,
Compendex.
- Exponential stability of nonlinear delay systems with
separable variables. (Chinese)
Wang, Mei Juan
Gongcheng Shuxue Xuebao 13 (1996), no. 4, 15--20, MathSciNet.
- Optimal rho parameter for the ADI iteration for the separable
diffusion equation in three dimensions.
Ma, Sangback
Commun. Korean Math. Soc. 10 (1995), no. 1, 39--48,
MathSciNet.
- Matrix decomposition algorithms in orthogonal spline
collocation for separable elliptic boundary value problems.
Bialecki, Bernard; Fairweather, Graeme
SIAM J. Sci. Comput. 16 (1995), no. 2, 330--347, MathSciNet.
- Geometric characterization of separable second-order
differential equations.
Martínez, Eduardo; Cariñena, José F.; Sarlet,
Willy
Math. Proc. Cambridge Philos. Soc. 113 (1993), no. 1, 205--224,
MathSciNet.
- Families of separable partial differential equations.
Costa, G.B.; Levine, L.E.
International journal of mathematical education in science and
technology, 1993, vol. 24, no. 5, pp. 631, Ingenta.
- Alternating
Direction Collocation for Separable Elliptic Partial Differential
Equations
K. D. Cooper, P. M. Prenter
SIAM Journal on Numerical Analysis, Vol. 28, No. 3. (Jun., 1991),
pp. 711-727, Jstor.
- Alternating direction collocation for separable elliptic
partial differential equations.
Cooper, K. D.; Prenter, P. M.
SIAM J. Numer. Anal. 28 (1991), no. 3, 711--727, MathSciNet.
- A program for solving separable elliptic equations; algorithm
685.
Kaufman, Linda.; Warner, Daniel D.
ACM Transactions on Mathematical Software v. 16 (Dec. 1990) p.
325-51
- Exploiting the separability in the solution of systems of
linear ordinary differential equations
Å. Björck and Z. Zlatev
Computers & Mathematics with Applications, v 18, n 5, 1989, p
421-438, Compendex.
- A Projection Method for the Numerical Solution of Linear
Systems in Separable Stiff Differential Equations.
Lopez, L.; Trigiante, D.
International journal of computer mathematics, 1989, vol. 30, no.
3/4, pp. 191, Ingenta.
- Factorisation of separable partial differential equations.
Humi, Mayer
J. Phys. A 20 (1987), no. 14, 4577--4585, MathSciNet.
- Formulas for solutions of differential equations. II. Formulas
for solutions of separable variables of higher-order linear
partial differential equations with variable coefficients.
(Chinese)
Wang, Cun Zheng
Acta Math. Appl. Sinica 10 (1987), no. 1, 43--54, MathSciNet.
- When
is an Ordinary Differential Equation Separable? (in
Notes)
David Scott
American Mathematical Monthly, Vol. 92, No. 6. (Jun. - Jul.,
1985), pp. 422-423, Jstor.
- High-Order,
Fast-Direct Methods for Separable Elliptic
Equations
Linda Kaufman, Daniel D. Warner
SIAM Journal on Numerical Analysis, Vol. 21, No. 4. (Aug., 1984),
pp. 672-694, Jstor.
- A
Direct Method for the Discrete Solution of Separable Elliptic
Equations
Paul N. Swarztrauber
SIAM Journal on Numerical Analysis, Vol. 11, No. 6. (Dec., 1974),
pp. 1136-1150, Jstor.
- Swarztrauber, Paul N.
A direct method for the discrete solution of separable elliptic
equations.
SIAM J. Numer. Anal. 11 (1974), 1136--1150, MathSciNet.
- A note on non-separable solutions of linear partial
differential equations.
Chakrabarti, Aloknath
J. Math. Anal. Appl. 42 (1973), 198--204, MathSciNet.
- Some
Separable Forms of the Riccati Equation (in Mathematical
Notes)
P. R. P. Rao, V. H. Ukidave
American Mathematical Monthly, Vol. 75, No. 1. (Jan., 1968), pp.
38-39, Jstor.
- Chebyshev methods for separable partial differential
equations.
Mason, J. C.
1969 Information Processing 68 (Proc. IFIP Congress, Edinburgh,
1968), Vol. 1: Mathematics, Software pp. 164--169 North-Holland,
Amsterdam, MathSciNet.
- Quasi-separable solutions of systems of partial differential
equations. I. Elliptic case.
Levin, S.; Martin, M. H.
1965 Simpos. Internaz. Appl. Anal. Fis. Mat. (Cagliari-Sassari,
1964) pp. 84--96 Edizioni Cremonese, Rome, MathSciNet.
- Iterative procedures for solving finite-difference
approximations to separable partial differential equations.
Osborne, M. R.
Comput. J. 6 1963/1964 93--99, MathSciNet.
- Operational methods for separable differential equations.
Friedman, Bernard
1961 Modern mathematics for the engineer: Second series pp. 51--67
McGraw-Hill, New York, MathSciNet.
- Unrestricted
Solution Fields of Almost Separable Differential
Equations
Philip Hartman
Transactions of the American Mathematical Society, Vol. 63, No. 3.
(May, 1948), pp. 560-580, Jstor.
(c) John
H. Mathews 2004