The Numerical Solution of Ordinary and Partial Differential EquationsAcademic Press, 1988 - 271 pagine |
Dall'interno del libro
Risultati 1-3 di 47
Pagina viii
... Explicit Methods for the Transport Problem 3.2 The Method of Characteristics 103 111 3.3 An Explicit Method for the Wave Equation 114 3.4 A Damped Wave Example 120 3.5 Problems 4. Boundary Value Problems 4.0 Introduction 4.1 Finite ...
... Explicit Methods for the Transport Problem 3.2 The Method of Characteristics 103 111 3.3 An Explicit Method for the Wave Equation 114 3.4 A Damped Wave Example 120 3.5 Problems 4. Boundary Value Problems 4.0 Introduction 4.1 Finite ...
Pagina 54
... explicit method that does not perform poorly on stiff systems ( Problem 4 ) . Implicitness must be considered the price to be paid for efficiency on stiff problems . Another method useful for stiff problems is the second - order implicit ...
... explicit method that does not perform poorly on stiff systems ( Problem 4 ) . Implicitness must be considered the price to be paid for efficiency on stiff problems . Another method useful for stiff problems is the second - order implicit ...
Pagina 109
... explicit method 2.1.3 . ( Equations 3.1.3 represent the application of Euler's method to an ordinary differential equation system that is stiff but not as stiff as the diffusion system 2.1.8 . ) Removing this restriction by introducing ...
... explicit method 2.1.3 . ( Equations 3.1.3 represent the application of Euler's method to an ordinary differential equation system that is stiff but not as stiff as the diffusion system 2.1.8 . ) Removing this restriction by introducing ...
Sommario
The Initial Value Diffusion Problem | 2 |
Initial Value Ordinary Differential Equations | 29 |
990 | 67 |
Copyright | |
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Parole e frasi comuni
absolute value algorithm approximate solution Ax² B₁ backward difference method band solver basis functions boundary conditions boundary value problem calculated coefficients collocation CONTINUE convergence cubic Hermite derivatives diagonal diagonal-dominant difference equation diffusion dx dy dz e(xi eigenvalue problem ENDIF ERMAX Euler's method exact solution explicit method fill-in finite difference method finite element method first-order FORTRAN77 Program fourth-order Galerkin method Gaussian elimination IMPLICIT DOUBLE PRECISION(A-H,O-Z initial value problem integrals Jacobian linear system LU decomposition matrix maximum error multistep method nonlinear nonzero O(Ax² ordinary differential equation PARAMETER partial differential equation PDE/PROTRAN polynomial positive-definite positive-definite matrix R₁ RETURN END satisfies second-order Section smallest eigenvalue solve stability starting values stepsize stiff subdiagonal elements subroutine successive over-relaxation symmetric t₁ Theorem tk+1 Tmax trial functions triangle tridiagonal truncation error U(tk U(xi u₁ VECTOR OF LENGTH zero pivot