HOME > 상세정보

상세정보

Applied numerical methods for digital computation 3rd ed

Applied numerical methods for digital computation 3rd ed (11회 대출)

자료유형
단행본
개인저자
James, M. L. (Merlin L.) Wolford, J. C. Smith, G. M. (Gerald M.).
서명 / 저자사항
Applied numerical methods for digital computation / M.L. James, G.M. Smith, J.C. Wolford.
판사항
3rd ed.
발행사항
New York :   Harper & Row,   c1985.  
형태사항
xiii, 753 p. : ill. ; 24 cm.
ISBN
0060432810
서지주기
Includes bibliographical references and index.
일반주제명
FORTRAN (Computer program language). CSMP (Computer program language). Numerical analysis -- Data processing.
000 01037camuu2200301 a 4500
001 000000063012
005 20120626132246
008 840810s1985 nyua b 001 0 eng
010 ▼a 84019176 //r91
020 ▼a 0060432810
040 ▼a DLC ▼c DLC ▼d DLC ▼d 211009
049 1 ▼l 421036237 ▼f 과학
050 0 0 ▼a QA297 ▼b .J3 1985
082 0 4 ▼a 004/.01/518 ▼2 22
084 ▼a 004.01518 ▼2 DDCK
090 ▼a 004.01518 ▼b J28a3
100 1 ▼a James, M. L. ▼q (Merlin L.)
245 1 0 ▼a Applied numerical methods for digital computation / ▼c M.L. James, G.M. Smith, J.C. Wolford.
250 ▼a 3rd ed.
260 ▼a New York : ▼b Harper & Row, ▼c c1985.
300 ▼a xiii, 753 p. : ▼b ill. ; ▼c 24 cm.
504 ▼a Includes bibliographical references and index.
650 0 ▼a FORTRAN (Computer program language).
650 0 ▼a CSMP (Computer program language).
650 0 ▼a Numerical analysis ▼x Data processing.
700 1 ▼a Wolford, J. C.
700 1 ▼a Smith, G. M. ▼q (Gerald M.).

소장정보

No. 소장처 청구기호 등록번호 도서상태 반납예정일 예약 서비스
No. 1 소장처 과학도서관/Sci-Info(2층서고)/ 청구기호 004.01518 J28a3 등록번호 421036237 도서상태 대출가능 반납예정일 예약 서비스 B M

컨텐츠정보

목차


CONTENTS
Preface = xi
1 Digital Computer Principles and FORTRAN IV = 1
 1.1 Introduction = 1
 1.2 Digital-Computer Components = 5
 1.3 Preparing a Digital-Computer Program = 7
 1.4 Large Computer Operating Systems = 9
 1.5 FORTRAN = 11
 1.6 The Elements of FORTRAN = 12
 1.7 Constants = 12
 1.8 Variables = 14
 1.9 Arrays = 15
 1.10 Subscripts = 16
 1.11 Arithmetic Expressions = 16
 1.12 Logical Expressions = 17
 1.13 Character Expressions (FORTRAN 77 ONLY) = 19
 1.14 FORTRAN-Supplied Mathematical Function Subprograms = 19
 1.15 FORTRAN Statements = 22
 1.16 Arithmetic-Assignment Statements = 23
 1.17 Logical-Assignment Statements = 24
 1.18 Control Statements = 24
 1.19 Input and Output Statements = 31
 1.20 Nonexecutable FORTRAN Statements = 36
 1.21 FORTRAN Statements = 36
 1.22 The DATA Initialization Statements = 52
 1.23 Specification Statements = 55
 1.24 Subprograms = 64
 1.25 The COMMON Statement = 74
 1.26 Adjustable (Object-Time) Dimensions = 78
 1.27 Subprogram Names as Arguments of Other Subprograms-the EXTERNAL and INTRINSIC Statements = 79
 1.28 The FORTRAN Source Program = 81
2 Roots of Algebraic and Transcendental Equations = 83
 2.1 Introduction = 83
 2.2 The Incremental-Search Method = 83
 2.3 The Bisection Method = 87
 2.4 The Method of False Position (Linear Interpolation) = 91
 2.5 The Secant Method = 93
 2.6 Newton-Raphson Method (Newton's Method of Tangents) = 94
 2.7 Newton's Second-Order Method = 105
 2.8 Roots of Polynomials = 108
 2.9 bairstow's Method = 111
 Problems = 127
3 Solution of Simultaneous Algebraic Equations = 146
 3.1 Introduction = 146
 3.2 Gauss's Elimination Method = 149
 3.3 Gauss-Jordan Elimination Method = 166
 3.4 Cholesky's Method = 178
 3.5 The Use of Error Equations = 185
 3.6 Matix-Inversion Method = 190
 3.7 Gauss-Seidel Method = 198
 3.8 Homogeneous Algebraic Equations-Eigenvalue Problems = 203
 3.9 Methods for Solution of Eigenvalue Problems-General = 214
 3.10 Polynomial Method-Eigenvalue Problems = 216
 3.11 Iteration Method-Eigenvalue Problems = 223
 3.12 Iteration for Intermediate Eigenvalues and Eigenvectors-Hotelling's Deflation Method = 228
 3.13 Jacobi's Simultaneous Equations = 274
 3.14 Nonlinear Simultaneous Equations = 274
 Problems = 277
4 Curve Fitting = 299
 4.1 Introduction = 299
 4.2 Method of Least-Squares = 300
 4.3 Matrix Formulation for Least-Squares Procedure for Linear Forms = 308
 4.4 Weighting for Least Squares Method = 313
 4.5 Curve Fitting Using Exponential Functions = 315
 4.6 Curve Fitting with Fourier Series = 329
 4.7 Computer Program Using Least-Squares Procedure for Linear Forms = 335
 4.8 Curve Fitting and Interpolation with a Cubic Spline = 339
 Problems = 384
5 Numerical Integration of Ordinary Differential Equations : Initial-Value Problems = 367
 5.1 Introduction = 367
 5.2 Integration by the Trapezoid Rule = 368
 5.3 Romberg Integration = 374
 5.4 Integration by Simpson's Rule = 377
 5.5 Improper integrals = 390
 5.6 Numerical Differentiation = 394
 Problems = 404
6 Numerical Integration of Ordinary Differential Equations : Initial-Value Problems = 416
 6.1 Introduction = 416
 6.2 Direct Numerical-Integration Method = 417
 6.3 Euler's Method (The Euler-Cauchy Method) = 419
 6.4 Modified Euler Methods = 430
 6.5 Runge-Kutta Methods = 461
 6.6 Solution of Simultaneous Ordinary Differential Equations by Runge-Kutta Methods = 461
 6.7 Milne's Method = 461
 6.8 Hmming's Method = 487
 6.9 Error in the Numerical Solutions of Differential Equations = 503
 6.10 Selecting a Numerical-Integration Method = 505
 Problems = 507
7 Ordinary Differential Equations : Boundary-Value Problems = 535
 7.1 Introduction = 535
 7.2 Trial-and-Error Method = 535
 7.3 Simultaneous-Equation Method = 549
 7.4 Eigenvalue Problems = 554
 Problems = 570
8 Introduction to Partial Differential Equations = 584
 8.1 Introduction = 584
 8.2 Elliptic Partial Differential Equations = 585
 8.3 Parabolic Partial Differential Equations = 599
 8.4 Hyperbolic Partial Differential Equations = 607
 Problems = 618
9 Introduction to Digital Computer Simulation Using CSMP (Continuous System Modeling Program) = 630
 9.1 Introduction = 630
 9.2 General Nature of a CSMP Program = 631
 9.3 CSMP Statements = 635
 9.4 Structure Statements = 635
 9.5 CSMP Functions = 637
 9.6 Data Statements = 645
 9.7 Model Structure = 648
 9.8 Control Statements = 649
 9.9 CSMP Examples-Run Control = 664
 9.10 FORTRAN Subprograms Used with CSMP Programs = 676
 Problems = 681
Appendixes
A International System of Units = 699
 A.1 Nomenclature of SI Units and Quantities = 699
 A.2 Conversion of U.S. Customary Units to SI Units = 700
 A.3 Prefixes = 700
B Matrix Algebra = 701
 B.1 Multiplication = 701
 B.2 Matrix Inversion = 703
 B.3 Transpose of a Matrix = 704
 B.4 Orthogonality Principle of Symmetric Matrices = 704
 B.5 Orthogonality Principle of the Form AX = λBX = 705
 B.6 Proof of Convergence of the Method to the Largest Eigenvalue an Corresponding Eigenvector = 706
C Interpolating Polynomials and Application to Numerical Integration and Differentiation = 710
 C.1 Introduction to Interpolation = 710
 C.2 Definition = 712
 C.3 Polynomial Approximation and Interpolation = 719
 C.4 Other Interpolating Formulas = 728
 C.5 Inverse Interpolation = 732
 C.6 Application of Polynomial Approximation to the Derivation of Numerical Integration Formulas = 735
 C.7 Application of Polynomial Approximation to the Derivation of Numerical Differentiation Formulas = 740
Index = 743


관련분야 신착자료

Forouzan, Behrouz A. (2022)
김효곤 (2022)