Finite Differential Methods (FDM) are numerical methods for approximating the solutions to differential equations using finite difference equations to approximate derivatives.
Differential equations, Linear Algebra, Abstract Algebra, Real and Complex Analysis, Advanced Calculus, and lots of other fun stuff.
Differential equations were invented separately by Isaac Newton and Gottfried Leibniz. This debate on who was the first one to invent it was argued by both Isaac and Gottfried until their death.
Differential equations are equations involve rates of change (differentials). These rates of change are usually shown in the equations as a variable prefixed by a d (e.g. dx for the rate of change of the variable x). The same notation is also used in integration, but the integrand symbol is also added in such equations.
Some partial differential equations do not have analytical solutions. These can only be solved numerically.
Daniel W. Stroock has written: 'Probability Theory, an Analytic View' 'An Introduction to the Analysis of Paths on a Riemannian Manifold (Mathematical Surveys & Monographs)' 'Partial differential equations for probabalists [sic]' -- subject(s): Differential equations, Elliptic, Differential equations, Parabolic, Differential equations, Partial, Elliptic Differential equations, Parabolic Differential equations, Partial Differential equations, Probabilities 'Essentials of integration theory for analysis' -- subject(s): Generalized Integrals, Fourier analysis, Functional Integration, Measure theory, Mathematical analysis 'An introduction to partial differential equations for probabilists' -- subject(s): Differential equations, Elliptic, Differential equations, Parabolic, Differential equations, Partial, Elliptic Differential equations, Parabolic Differential equations, Partial Differential equations, Probabilities 'Probability theory' -- subject(s): Probabilities 'Topics in probability theory' 'Probability theory' -- subject(s): Probabilities
Elemer E. Rosinger has written: 'Generalized solutions of nonlinear partial differential equations' -- subject(s): Differential equations, Nonlinear, Differential equations, Partial, Nonlinear Differential equations, Numerical solutions, Partial Differential equations 'Distributions and nonlinear partial differential equations' -- subject(s): Differential equations, Partial, Partial Differential equations, Theory of distributions (Functional analysis)
I. S. Habib has written: 'Engineering analysis methods' -- subject(s): Differential equations, Integral equations, Partial Differential equations
Hans J. Stetter has written: 'Analysis of discretization methods for ordinary differential equations' -- subject(s): Difference equations, Differential equations, Numerical solutions
J. C. Butcher has written: 'Numerical Methods for Ordinary Differential Equations' -- subject(s): Differential equations, Mathematics, Nonfiction, Numerical solutions, OverDrive 'The numerical analysis of ordinary differential equations' -- subject(s): Differential equations, Numerical solutions, Runge-Kutta formulas
S. H. Lui has written: 'Numerical analysis of partial differential equations' -- subject(s): Partial Differential equations, Numerical solutions
Leon Lapidus has written: 'Numerical solution of ordinary differential equations' -- subject(s): Differential equations, Electronic data processing, Numerical analysis, Mathematics
John Malanchuk has written: 'Efficient algorithms for solving systems of ordinary differential equations for ecosystems modeling' -- subject(s): Computer programs, Differential equations, Numerical analysis, Ecology, System analysis, Numerical solutions
P. Quittner has written: 'Superlinear parabolic problems' -- subject(s): Differential equations, Elliptic, Differential equations, Parabolic, Differential equations, Partial, Elliptic Differential equations, Parabolic Differential equations, Partial Differential equations
George Francis Denton Duff has written: 'Partial differential equations' -- subject(s): Differential equations, Partial, Partial Differential equations 'Differential equations of applied mathematics' -- subject(s): Differential equations, Differential equations, Partial, Mathematical physics, Partial Differential equations
J. L Blue has written: 'B2DE' -- subject(s): Computer software, Differential equations, Elliptic, Differential equations, Nonlinear, Differential equations, Partial, Elliptic Differential equations, Nonlinear Differential equations, Partial Differential equations
S. E. A. Mohammed has written: 'Stochastic functional differential equations' -- subject(s): Functional differential equations, Stochastic differential equations 'Retarded functional differential equations' -- subject(s): Delay equations, Differentiable manifolds, Functional differential equations, Global analysis (Mathematics), Riemannian manifolds