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[资源] Analytical and Numerical Methods for Volterra Equations

Analytical and Numerical Methods for Volterra Equations
Authors: Peter Linz

Part A: Theory

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1. Introduction
pp. 3-11 (9 pages)
http://dx.doi.org/10.1137/1.9781611970852.ch1
Abstract | PDF (329 KB)

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2. Some Applications of Volterra Equations
pp. 13-27 (15 pages)
http://dx.doi.org/10.1137/1.9781611970852.ch2
Abstract | PDF (528 KB)

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3. Linear Volterra Equations of the Second Kind
pp. 29-50 (22 pages) | Cited 1 time
http://dx.doi.org/10.1137/1.9781611970852.ch3
Abstract | PDF (694 KB)

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4. Nonlinear Equations of the Second Kind
pp. 51-65 (15 pages)
http://dx.doi.org/10.1137/1.9781611970852.ch4
Abstract | PDF (455 KB)

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5. Equations of the First Kind
pp. 67-76 (10 pages) | Cited 1 time
http://dx.doi.org/10.1137/1.9781611970852.ch5
Abstract | PDF (362 KB)

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6. Convolution Equations
pp. 77-92 (16 pages)
http://dx.doi.org/10.1137/1.9781611970852.ch6
Abstract | PDF (452 KB)

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Part B: Numerical Methods

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7. The Numerical Solution of Equations of the Second Kind
pp. 95-128 (34 pages) | Cited 1 time
http://dx.doi.org/10.1137/1.9781611970852.ch7
Abstract | PDF (1325 KB)

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8. Product Integration Methods for Equations of the Second Kind
pp. 129-141 (13 pages)
http://dx.doi.org/10.1137/1.9781611970852.ch8
Abstract | PDF (506 KB)

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9. Equations of the First Kind with Differentiable Kernels
pp. 143-164 (22 pages)
http://dx.doi.org/10.1137/1.9781611970852.ch9
Abstract | PDF (820 KB)

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10. Equations of the Abel Type
pp. 165-175 (11 pages) | Cited 1 time
http://dx.doi.org/10.1137/1.9781611970852.ch10
Abstract | PDF (397 KB)

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11. Integrodifferential Equations
pp. 177-190 (14 pages)
http://dx.doi.org/10.1137/1.9781611970852.ch11
Abstract | PDF (491 KB)

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12. Some Computer Programs
pp. 191-199 (9 pages)
http://dx.doi.org/10.1137/1.9781611970852.ch12
Abstract | PDF (314 KB)

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13. Case Studies
pp. 201-211 (11 pages)
http://dx.doi.org/10.1137/1.9781611970852.ch13
Abstract | PDF (390 KB)

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Back Matter
pp. 213-227 (15 pages)
http://dx.doi.org/10.1137/1.9781611970852.bm
Abstract | PDF (803 KB)

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2015-10-02 10:41:04, 8.67 M